“ ,, il-FLBPLAAREYEE; A 8; M (COLL ES . C’ A F; F‘ U S . E-49-1232-3M-L180 TEXAS AGRICULTURAL EXPERIMENT STATION A. B. CONNER, DIRECTOR COLLEGE STATION, BRAZOS COUNTY, TEXAS BULLETIN NO. 463 DECEMBER, 1932 DIVISION OF RANGE ANIMAL HUSBANERY Probability Tables for Mendelian Ratios With Small Numbers AGRICULTURAL AND MECHANICAL COLLEGE OF TEXAS T. O. WALTON, President Administration : A. B. Conner, M. S., Director R. E. Karper, M. S., Vice-Director Clarice Mixson, B. A., Secretary M. P. Holleman, Chief Clerk J. K. Francklow, Asst. Chief Clerk Chester Higgs, Executive Assistant Howard Berry, B. S., Technical Asst. Chemistry: G. S. Fraps, Ph. D., Chief; State Chemist S. E. Asbury, M. S., Chemist J. F. Fudge, Ph. D., Chemist E. C. M. S., Asst. Chemist T. L. Ogier, B. S., Asst. Chemist A. J. Sterges, M. S., Asst. Chemist Ray Treichler, M. S., Asst. Chemist W. H.- Walker, Asst. Chemist Velma Graham, Asst. Chemist Jeanne F. DeMottier, Asst. Chemist R. L. Schwartz, B. S., Asst. Chemist C. M. Pounders, B. S., Asst. Chemist Horticulture: S. H. Yarnell, Sc. D., Chief "L. R. Hawthorn, M. S., Horticulturist H. M. Reed, B. S., Horticulturist J. F. Wood, B. S., Horticulturist L. E. Brooks, B. S., Horticulturist Range Animal Husbandry: J M. Jones, A. M., Chief B. L. Warwick, "Ph. D., Breeding Investa. S. P. Davis, Wool Grader IJ. H. Jones, B. S., Agent Animal Husbandry Entomology: F. L. Thomas, Ph. D., Chief; State Entomologist J. Reinhard, B. S., Entomologist R. K. Fletcher, Ph. D., Entomologist W. L. Owen, Jr., M. S., Entomologist . N. Roney, M. S., Entomologist C. Gaines, Jr., M. S., Entomologist E. Jones, M. S., Entomologist . F. Bibby, B. S., Entomologist Clark, B. S., Entomologist Dunnam, Ph. D., Entomologist Moreland, B. S., Asst. Entomologist Heard, B. S., Chief Inspector . Siddall, B. S., Foulbrood Inspector . E. McGregor, B. S., Foulbrood Inspector‘ onorny: » . B. Reynolds, Ph. D., Chief F“ $4M “i?” W. . W. . W. . E. p o s W s s q UJOQSUPJVJ . Rea, B. S., Agronomist B. C. Langley, M. S., Agronomist SUBSTATIONS No. 1 Beeville, Bee County: R. A. Hall, B. S., Superintendent No. 2, Lindale, Smith County: P. R. Johnson, M. S., Superintendent "B. H. Hendrickson, B. S., Sci. in Soil Erosion “R. W. Baird, B. S., Assoc. Agr. Engineer No. 3, Angleton, Brazoria County: R. H. Stansel, M. S., Superintendent H. M. Reed, M. S., Horticulturist 4, Beaumont, Jefferson County: R. H. Wyche, B. S., Superintendent "H. M. Beachell, B. S., Jr., Agronomist No. 5, Temple, Bell County: Henry Dunlavy, M. S., Superintendent C. H. Rodgers, Ph. D., Plant Pathologist H. E. R B. S., Agronomist S. E. Wolff, M. S., Botanist "H.V. Geib, M. S., Sci. in Soil Erosion "H. 0. Hill, B. S., Jr. Civil Engineer 6, Denton, Denton County: P. B. Dunkle, B. S., Superintendent "I. M. Atkins, B. S., Jr. Agronomist No. 7, Spur, Dickens County: R. E. Dickson, B. S., Superintendent B. C. Langley, M. S., Agronomist No. 8, Lubbock, Lubbock County: D. L. Jones, Superintendent Frank Gaines, Irrig. and Forest Nurs. Teachers in the School of Agriculture Carrying Cooperative Projects on the Station: Q . W. Adriance, Ph. D., Horticulture . W. Bilsing, Ph. D., Entomology . P. Lee, Ph. D., Marketing and Finance . Scoates, A. E., Agricultural Engineering . K. Mackey, M. S., Animal Husbandry *Dean School of Veterinary Medicine. >64“ "In cooperation with U. S. Department of Agriculture. Service. iIn cooperation with Texas Extension STATION STAFFT Publications : A. D. Jackson, Chief Veterinary Science: "‘M. Francis, D. V. M., Chief H. Schmidt, D. V. M., Veterinarian . B. Boughton, D. V. M., Veterinarian . P. Mathews, D. V. M., M. S., Veteri . T. Hardy, D. V. M., Veterinarian A. Goodman, D. V. M., Veterinarian t Pathology and Physiology: . J. Taubenuhaus, Ph. D., Chief . Ezekiel, Ph. D., Plant Pathologist Bach, M. S., Plant Pathologist Rogers, Ph. D., Plant Pathologist nd Ranch Economics: . P. Gabbard, M. S., Chief '. E. Paulson, Ph. D., Marketng . A. Bonnen, M. S., Farm Management - R. Nisbet, B. S., Ranch Management C. Magee, M. S., Farm Management Rural Home Research: Jesse Whitacre, Ph.‘D., Chief Mary Anna Grimes, M. S., Textiles Elizabeth D. Terrill, M. A., Nutrition Soil Survey: "W. T. Carter, B. S., Chief E. H. Templin, B. S., Soil Surveyor A. H. Bean, B. S.,Soil Surveyor R. M. Marshall, B. S., Soil Surveyor , S., Acting Chief . Wolff, M. S., Botanist Swine Husbandry: Fred Hale, M. S., Chief Dairy Husbandry: , O. C. Copeland, M. S., Dairy Husbandry Poultry Husbandry: _ , R. M. Sherwood, M. S., Chlef J. R. Couch, B. S., Asst. Poultry Husban w Agricultural Engineering: H. P. Smith, M. S., Chief Main Station Farm: G. T. McNess, Superintendent Apiculture (San Antonio): H. . Parks, B. S., Chief A. H. Alex, B. S., Queen Breeder Feed Control Service: F. D. Fuller, M. S., Chief James Sullivan, Asst. Chief . D. Pearce, Secretary . H. Rodgers, Feed Inspector L. Kirkland, B. S., Feed Inspector D. Reynolds, Jr., Feed Inspector A. Moore, Feed Inspector . J. Wilson, B. S., Feed Inspector H. G. Wickes, B. S., Feed Inspector T! f. i-i “Qffiflw '11 vices a . $9 l"? *—~|- E>$l° 5 Qymgum No. 9, Balmorhea, Reeves County: J. J. Bayles, B. S., Superintendent No. 10, College Station, Brazos County: R. M. Sherwood, M. S., In Charge L. J. McCall, Farm Superintendent No. 11, Nacogdoches, Nacogdoches County: H. F. Morris, M. S., Superintendent "No. 12, Chillicothe, Hardeman County: “J. R. Quinby, B. S., Superintendent “J. C. Stephens, M. A., Asst. Agronomist No. 14. Sonora, Sutton-Edwards Counties W. H. Dameron, Superintendent I. B. Boughton, D. V. M., Veterinarian W. T. Hardy, D V. M., Veterinarian O. L. Carpenter, Shepherd ‘"0. G. Babcock, B. S., Asst. Entomologist No. 15, Weslaco, Hidalgo County: W. H. Friend, B. S., Superintendent . W. Clark, B. S., Entomologist . J. Bach, M. S., Plant Pathologist . F. Wood, B. S., Horticulturist 16, Iowa Park, Wichita County: . H. McDowell, B. S., Superintendent L. E. Brooks, B. S., Horticulturist No. 19, Winter-haven, Dimmit County: E. Mortensen, B S., Superintendent "L. R. Hawthorn, M. S., Horticulturist 2 FW-lgm i‘. i O S. Mogford, M. S., Agronomy R. Brison, B. S., Horticulture . R. Horlacher, Ph. D., Genetics . H. Knox, M. S., Animal Husbandry A. L. Darnell, M. A., Dairy Husbandry TAs of December 1, 1932. n eave. J. BULLETIN NO. 463 DECEMBER, 1932 PROBABILITY TABLES FOR MENDELIAN RATIOS WITH SMALL NUMBERS B. L. WARWICK With animal breeding involving the farm animals, it is usually im- possible to raise a large number of progeny from any single pair of i parents. Also, matings of the same kind involving different pairs of ‘ parents are frequently limited in the size of the progeny population, because of limitation of space and funds. When such breeding pro- grams are complicated by lethal or sub-lethal factors or by other factors which reduce the viability of the offspring, it becomes especially difficult to produce large progeny populations. There are two questions in the study of actual ratios of inherited _.l characters. One is to decide which one of two or more possible Men- delian ratios is the true ratio for the data. This may be impossible, ‘and we have to content ourselves with finding several ratios any of f, which may be the true ratio, and with finding which ratios are so highly improbable as to be dropped from consideration. The other ques- QYItIOII may be simply whether the actual numbers concerned are possible lfor a given hypothesis and still be within the range of chance due to samp- f; ling. The only difference between these two questions is that the process of Jeasoning to arrive at the answer to the second question, is repeated eifor all possible ratios to answer the first. Accordingly, it becomes J'highly_ important to learn the probabilities due to chance for all pos- isible combinations when we have a definite Mendelian ratio involved. . M"‘_‘UF_ ,.yw.1\.,,‘.,._-._,_.-_.~.... , “W, » g The Mendelian ratios correspond to the numbers of black balls and iiwhite balls present in the urns long used in classical illustrations of leprobability by mathematicians. Thus the 1 to 1 ratio represents %+1/z; Qthe 3 to 1, 34-1-14; etc. The fundamental basis of these probabilities “is the expansion of the binominal (p-l-q) to the nth power Where p and q epresent fractions whose sum is 1 and n is the number in the sample. Thus, as example, we consider the 3 to 1 expectation the equivalent of an urn with lack balls and white balls in infinite numbers, but in the propor- ‘on of 3A black to 1/1 white. The progeny of a mating with l is expectation represents one trial, or sample. The number of progeny ised or the number of balls removed from the urn determines the 1f» nge of possible combinations. If only one individual is raised, the obability of its showing the dominant character is obviously .7500 T» of showing the recessive is .2500. However, if four are raised, may have any of five possibile combinations. These are 4D + OR, D + 1R, 2D + 2R, 1D + 3R, and 0D + 4R. Obviously the 3D + 1R mbination is the most likely. The actual probabilities are found by 4 BULLETIN NO. 463, TEXAS AGRICULTURAL EXPERIMENT $TATION expanding the binomial (%+1A)‘, which gives five terms correspon" with the above combinations. These together with the steps used their calculation are given in Table 1. Table 1. Calculation of probabilities for (%+1/4)4. Terms of D R Coefficients _ expansion a Probability .5 4 0 I 6741.)‘ 81/250 81/250 3164 3 1 4 i (%)3(%) 4(*"/e4) (54) m/zsa A219 2 2 I 6 ll (%)”(%)2 6071a) (1/18) “lam £109 1 3 ‘l 4 ll ($4.) G4)” 4W1.) (1/64) “In 41469 0 4 I I PA)‘ 1/256 1/25; 41039 TOTAL ‘ I 1.0000 In this illustration the coefficents are actually given in numbers, whi may be determined by rules of algebra. However, as the numbers i the sample increase, the coefficients become unwieldy. Accordingly the logarithms are computed from Pearson’s tables of logarithms of factor: Lr-L . als (5). The coefficient is represented by —— l_1'_l 11-1" or converted I n our terms 75E- where n equals the number in the sample, D the n n? ber of dominatnts,‘ and R the number of recessives in the combinatio‘ To get the logarithm of the coefficient, the logarithms of |_P_ and I, are taken from Pearson’s table, added together and the result su; tracted from the logarithm of In. The fractions are reduced to decima f before being raised. The loga_ri_thm of the decimal multiplied by th power, gives the logarithm of the fraction raised to that power. B simple multiplication a list is prepared for each fraction giving thi logarithms of that fraction raised to the respective powers. With thes at hand, the logarithms of the coeificient and of each of the fractio raised to their powers according to the combination, are added together This is the logarithm of the probability for this particular combination Table 2 shows the above steps for the example. By resorting to the above methods, it becomes possible to make all, the determinations with a high degree of accuracy. However, the method is?‘ still too tedious to be a practical method if all groups and combinations l have to be computed each time used. For these reasons, other methods, less direct, are generally used in the interpretation of data involving? Mendelian ratios. The standard deviation was applied to this type of?’ material by Johannsen (3), but many workers in Genetics have used) PROBABILITY TABLES FOR MENDELIAN RATIOS 8.88.2 8.8. 2| 2| 183.8 882.285. 8888238 .88. 2| 2| 2| @835. 28.25 2888. 82.2.58 8N£2.w “$885.8 85. 2| 2| 2| 18.53.2888 228w 28222.28 288288 823:3 2Q. 2| 2| 2| A¢om$i8¢$¢ 882.88. 882$: 882.8288.» .8225...“ $5. 2| 2| L285 83.82.28 $2.8m.» zummnunoun mcomaoanw MM mnomaomww Q wwnomufi 3:5 mo mo we minus Jwwou mo kanobm misfiaswoq winfiawwoQ misamunmoq we mnomuownh Emwsouwuu 28.1.88 .8“ msamnwpoha us msfiwzwwofi a. 3.. oi .3 fimpsuowo a v3.2. 6 BULLETIN NO. 463, TEXAS AGRICULTURAL EXPERIMENT STATION the formula converted t0 terms of the probable error (.6745\/IT1T1) and tables of the probable errors of the common ratios have been prepared by Emerson (1). The Chi-square test, which is also used, will be re- ferred to later. The less direct methods may be entirely satisfactory where the population is fairly large, but not with small samples. Even with the 1:1 ratio where we get the normal curve of distribution, when n is small there are small discrepancies between the results when we use the probable error and the actual expansion of (l/z-l-l/z) to the nth power. When the ratio is one which produces a skew curve, the difference may be great. The following example is given to show the discrepancy which results from the use of the probable error with a small sample. Sup- pose we have an expectation of 15D+1R and n is 26. The expected numbers would be 24.375D+1.625R with a probable error of :83. To determine the two points outside of which the probability is approximately 1 to 100 or .0100 we may multiply the probable error by 3.82 and first add the result to the expected number of recessives to get one of the points and then subtract it from the expected recessives to get the other point. However, one of these points would be —1.5456, which is an absurdity when speaking of living things. If we expand the binomial (‘5/16+1/16)2° by the use of logarithms, we can get the actual probability of each combination as shown in Table 3. It is to be noted that the probability of getting any combination in-- cluding 9 or more recessives is less than .00005. These probabilities are plotted as a curve with the so-called expected shown. Ratio = lfiDzlR Expected (n=26) I 24.575D:l.625R. P.E. l It .83 P.E. X 3.82: 13.1706 .400“ 1.625 + 3.1706 =4.'7956 Recessives. m 1.625 - 3.17061 -l.5456 Recesaives. a: '3 .5000- "-1 ' <0 i‘. f, .2ooo- 1n *8 3 g 5i .1ooo- i‘ 8 é. i5 Recessives _2 -Alo l A 3 4 5 6 7 g l A A l 1 I A l A A A A A A A A A Dominants 26 a 21 j 111% 2g 28 Fig. 1. Curve showing combinations and probabilities of (15/16+1/1d)26 If we add the probabilities of the combinations outside the points represented by 3.82 times the probable error, we find that we cannot include any on the left-hand side of the expected. On the other side we find the point represented by 4.7956 recessives. As this is impossible biologically, we start with 5 recessives. Adding the probabilities of getting 5 or more recessives, we find that the total probability is .0208, or approximately odds of 1 to 48 instead of 1 to 100 as figured above from the probable error. Applying the Chi-square test to this example with the use of the tables as given by Fisher (2), we find the probability PROBABILITY TABLES FOR MENDELIAN RATIOS 7 less than .01, i. e., less than one chance in every 100 trials of this poor or poorer fit occurring. As seen above, this figure is not correct. Wilson and co-workers (7) have recently shown that the Chi-square test may l‘ '8 u, ' - 1-w:='~r-vw_1m--j-»vy=~q v v ~m>~<~ "rm: .-..~\;w§r.,,_q4wq rather than serving as a valuable aid as it does with large numbers. lExamples with other small numbers could be given, but this should Jlillustrate the points involved. i‘ Where the population is small the calculation of probability by the ex- ansioni of the binomial is preferrable for the following reasons: 1. Expected ratios are often fractions and when the numbers are mall the rounding of the expected numbers to the nearest number bio- gically possible may give erroneous figures. 2. The multiplication of the probable error by a figure such as 3.0 to frequently results in figures which when combined with the so-called pected give negative numbers. f 3. Actual legitimate probabilities can be determined for any number, m 1 up, by the use of the expansion of the binomial. 4. The use of the binomial with the smaller numbers is peculiarly ‘thin the province of genetic interpretation because most Mendelian ults must fall within a relatively few possible ratios. We have calculated the probabilities for nine Mendelian ratios where 7 is 1 to 50. These are shown in Table 4. It will be noted that when reaches a sufficient size so that the probability of getting n dominants recessives in any ratio is less than .0001 the probabilities closely proach the normal curve of distribution. It is this fact that has long Table 3. Combinations and Proba- I101; give true probabilities where the bilities of (15/10+1/10)2° . number of classes 1s small. They say, Combination Probability “Thus in many cases in which one actu- D R ally uses the Chi-square test, it is desir- g8 8 Z828; able to be on one’s guard against a too 88 8 .8888 ' literal interpretation of the result, as _ 22 4 0551 the conditons implied in the proof" of 2(1) 2 1388?; the test may not be adequately filled.” 88 8 888; This danger seems to be especially true 17 0 10000 when the sample is small and where i? i? 18888 there is a large difference in the size i8 8888 of the different expected classes. In 12 14 .0000 the above example the so-called expected 1(1) 82 £383 is 1.625 recessives and as this is impos- 8 8'; Z8888 sible biologically the nearest whole num- 8 88 .8888 ber, which is two recessives, would be 5 21 10000 considered the most likely. It is seen ~ é Z8888 from the probability figures that one 8 88 8888 recessive is the most probable number. 0 26 10000 So with small numbers the so-called ex- Tm“ """""""""""""""""""" " "9999 pected may lead to error in interpretation 8 BULLETIN NO. 463, TEXAS AGRICULTURAL EXPERIMENT STATION Dev ~ been made use of in determining the probabilities from .......... __ or from * - P. E. " Dev. . . In either case the probability is determined from the area or St. Dev. areas of portions of the normal curve. sives is less than .0001, the probable error may be safely used. error is used until n is considerably larger than this. errors are so small that they are of slight importance. The group of probabilities at each end of each expansion is set ofi’ in bold face type in Table 4 so as to show the point beyond which the total probability in that direction is .0050 or less. Thus the two points shown on each expansion mark the limits beyond which the combined proba- bility is .0100 or less. In most work, if the actual distribution falls outside these limits, we should consider it as almost certain that this is not the true ratio. In addition to the above, the limits of values corresponding to the limits denoted in bold face type in Table 4 have been determined for the four ratios not completed in Table 4. These values have been determined by locating the sizes of n at which the probabilities pass .0050 and so give us our limits the same as in Table 4. These changing points have been deter- mined by taking representative values of n, determining the probabilities for the ends of the curve by expansion and so locating the points of change. These values have been completed up to the values of n where the probability of n dominants +0 recessives is less than .0001 for each of these ratios and are shown in Table 5. In the preparation of these tables, the 7-place logarithmic tables of Von Vega (6) together with the table of logarithms of factorials of Pearson (5) have been used. Where n, was larger than 1000, the formula of Forsyth, as given by Pearl (4), was used to get the logarithms of the factorials, enabling us to complete Table 5 with fairly accurate figures for these larger values of n. ACKNOWLEDGMENTS The writer wishes to make grateful acknowledgment of the many help- ful suggestions and criticisms made by T. R. Hamilton, Associate Pro- fessor of Accounting and Statistics, and by Dr. P. C. Mangelsdorf, Agrono- mist in the Experiment Station. BIBLIOGRAPHY 1. Emerson, R. A. 1922. Mimeographed tables. Printed by Castle in “Outline for a Laboratory Course in Genetics” 1924. Harvard Univ. Press, Cambridge, Mass. Accordingly, We believe that ii where n is large enough so that the probability of n dominants +0 reces- It is i; recognized that very slight errors may still be present when the probable i; However, these ..-.t.._il..-.-l‘..m.a..\x..nx»a.rz.i,\ .¢.:.»¢.|§~.I.........r_m-£z...A-L.._< 1 '.. v.6‘. The group of combinations at each end of each expansion is set off PROBABILITY TABLES FOR MENDELIAN RATIOS 9 Fisher, R. A. 1930. Statistical Methods for Research Workers. 3rd edition. Oliver and Boyd, Edinburgh and London. Johannsen, W. 1909. Eleménte der exakten Erblichkeitslehre. G. Fischer. Jena. Pearl, Raymond. 1930. Medical Biometry and Statistics. 2nd edition. W. B. Saunders C0., Philadelphia. Pearson, Karl. 1924. Tables for Statisticians and Biometricians. Part I. 2nd edition. Cambridge University Press, Cambridge, Eng- land. Von Vega. 1923. Logarithmic Tables. I Bremiker’s edition, reprint. G. E. Stechert & C0., N. Y. Wilson, Edwin B., Hilferty, Margaret M., and Maher, Helen C. 1931. Goodness of Fit. Journal of the American Statistical Association. (N. S. No. 176) 26:443-448. Table 4. Probabilities of Mendelian Ratios. _ _ so as to show the point beyond which the total probability in that direction is .0050 or less. Mendelian Ratios Combi-l I nation l 1 :1 9 :7 2 :1 3 :1 13 :3 7 :1 15 :1 63:1 255 :1 D-I-R I I I I I I I 1 0 1 .5000 .5625 .6667 I .7500 .8125 .8750 .9375 .9844 .9961 0 1 __.§000_ .4375 .3333 .2300 .1s75___.12§<>__.0025_ .01ss____.0039 I 1.0000 I 1.0000 1.0000 1.0000 1.0000 I 1.0000 1.0000 1 0000 1.0000 2 0 .2500 .3164 .4444 .5625 6602 .7656 .8789 .9690 .9922 1 1 .5000 .4922 .4444 .3750 .3047 .2187 .1172 .0308 .0078 0 2 .2500 .1914 .1111 .0625 .0352 .0156 .0039 .0002 ______ _ I 1.0000 1.0000 .9999 1.0000 1.0001 .9999 1.0000 1.0000 1.0000 3 0 1250 .1780 .2963 .4219 .5364 .6699 8240 9539 .9883 2 1 .3750 .4153 .4444 .4219 .3713 .2871 .1648 0454 0116 1 2 .3750 .3230 .2222 .1406 .0857 .0410 .0110 0007 ...... _ 0 3 .1230 .0337 .0370_ .0150 .0066 .0020 .0002 _-__- .-___ l 1.0000 1.0000 .9999 1.0000 1.0000 1.0000 1.0000 1.0000 .9999 4 0 .0625 1001 .1975 .3164 .4358 .5862 .7725 9389 .9845 3 1 .2500 3115 .3951 .4219 4023 3350 .2060 .0596 .0154 2 2 .3750 3634 .2963 .2109 .1393 .0718 .0206 .0014 .0001 1 3 .2500 .1884 .0988 .0469 .0214 .0068 .0009 _ . . . . . . _ _ . . _ . . 1 0 4 .0625 .0366 .0124 .0039 .0012 .0002 _ _ _ . . . . _ _ . . __ 1.0000 1.0000 1.0001 1.0000 1.0000 1.0000 1.0000 .9999 5 0 .0313 .0563 1317 2373 .3541 5129 7242 .9243 4 1 1563 2190 3292 3955 .4086 3664 .2414 .0734 3 2 3125 .3407 3292 2637 .1886 1047 .0322 0023 2 3 3125 .2650 1646 0879 .0435 .0150 .0021 ______ _ 1 4 .1563 1030 0412 .0146 .0050 .0011 .0001 ...... 1 0 5 __;0313_____0160_____0041 .0010 .0002 _"T _ . _ _ . . _ _ . . . . . . _ . . _ II 1.0002 I 1.0000 I 1.0000 1.0000 I 1.0000 1.0001 1.0000 1.0000 6 0 .0156 .0317 .0878 .1780 .2877 .4488 .6789 .9098 5 1 ,.0938 .1478 .2634 3560 .3984 .3847 .2716 0867 4 2 .2344 .2874 .3292 2966 .2298 .1374 .0453 .0034 3 3 3125 .2981 .2195 .1318 0707 .0262 .0040 .0001 ...... _ 2 4 .2344 .1739 .0823 .0330 .0122 .0028 .0002 _ . . _ . . . . . . . . _ _ 1 1 5 .0938 .0541 .0165 .0044 .0011 .0002 _ _ . . . _ . _ . . . _ . . u _““_ 0 6 _ _ .0156_ __ ._0070_ _ .0014_ _A.0002_ . _ . _ _ _ _ _ _ _ . _ _ _ - _ _ _ _ . _ .. II 1.0001 1.0000 1.0001 I 1.0000 .9999 1.0001 1.0000 1.0000 1.0000 7 0 I .0078 I .0178 I .0585 I .1335 .2338 .3927 .6365 8956 .9730 10 BULLETIN NO. 463, TEXAS AGRICULTURAL EXPERIMENT STATION Table 4. Probabilities of Mendelian Ratios.-—(Gontinued). The group of combinations at each end of each expansion is set off so as to show the point f; beyond which the total probability in that direction is .0050 or less. 1A Mendelian Ratios Combi- ' nation 1 :1 9 :7 2 :1 3 :1 13 :3 7 :1 15 :1 63:1 255 :1 I; D-I-R ~“ I l I I ’ 6 1 I .0547 I .0970 I .2048 I .3115 .3776 .3927 .2970 .0995 .0267 5 2 .1641 .2264 .3073 .3115 .2614 .1683 ' .0594 .0047 .0003 _ 4 3 .2734 .2934 .2561 .1730 .1005 .0401 .0066 .0001 ______ 2. 3 4 2734 I 2282 1280 .0577 .0232 0057 0004 __--___ _____ i» 2 5 ,1641 1065 .0384 .0115 0032 .0005 ...... -- -- .... .-_ I 1 6 .0547 .0276 - .0064 .0013 -0002 - - - - - - - - - - - - . - - - - - - - - - -- --__ :~' 0 7 .0078 .0031__;0005___-000_1_ ------ -- »--- -—; __-_.»__ t‘; I 1.0000 1.0000 1.0000 1.0001 ’ .9999 ’ 1.0000 .9999 .9999 l 1.0000 8 0 l 0039 .0100 .0390 .1001 .1899 .3436 I .5967 .8816 I .9692 7 1 0313 .0624 .1561 .2670 .3506 3927 3182 1120 0304 g 6 2 1094 .1698 2731 .3115 .2832 1963 0743 0062 0004 J 5 3 .2187 .2641 2731 .2076 .1307 0561 0099 .0002 _.____ 4 4 2734 .2567 1707 .0865 .0377 0100 .0008 -._- .---___ 3 5 .2187 .1598 0683 .0231 0070 0011 . . . . _ _ _ . . . . _ . _ -- _______ 2 6 .1094 .0621 0171 .0038 .0008 .0001 _ _ . . _ . . _ . . _ . _ _ __ -___ ___ 1 7 0313 .0138 0024 .0004 .0001 _ _ _ . . _ _ . . . . . _ _ . _ . . . . _ . .. -.-._... 0 8 .0039 .0013 __.0_0_0_2 ____ __ - - - - - . - - . _ _ _ _ - - - - - - _ - _ . .- I 1 0000 1 0000 1 0000 1.0000 1 0000 9999 9999 9 0 I 0020 0056 0260 .0751 1543 3007 5594 8 1 0176 0395 1171 .2253 3205 3866 3357 7 2 | 0703 1228 2341 .3003 2958 2209 0895 6 3 I 1641 2298 2731 .2336 1593 0736 0139 5 4 I .2461 2600 2048 .1168 0551 0158 0014 4 5 I 2461 2022 .1024 .0389 0127 0023 .0001 3 6 .1641 .1048 .0341 .0087 0020 .0002 ...... _. 2 7 0703 0350 .0073 .0012 .0002 -.~ ...... .. 1 8 0176 .0068 .0009 .0001 . _ . . . . . . . _ _ . . . _ . . _ _ . _ . ._ 0 9 .0020 .0006 .0001 _ _ _ . . . _ . _ _ . _ . _ . . . . _ _ . _ . . _ . . _ . _ __ v II 1 0002 1 0001 9999 1.0000 9999 1 0001 1 0000 . f 10 0 I 0010 .0032 .0173 .0563 1254 2631 5245 3; 9 1 I 0098 0247 .0867 .1877 2893 3758 3496 8 2 0440 0863 .1951 .2816 3005 2416 1049 ‘i 7 3 1172 1790 .2601 .2503 1849 0920 0186 6 4 2051 2437 .2276 .1460 0747 0231 0022 .4, 5 5 .2461 2275 .1366 0584 0207 0039 0002 4 6 .2051 1474 .0569 0162 0040 0005 ______ .. 3 7 .1172 .0655 .0163 0031 0005 _ . . _ . . . . . _ _ . . _ __ . 2 8 .0440 0191 .0030 .0004 _ . . . _ . . . . . _ . . . . . . . . _ _ _ _. 1 9 0098 0033 .0003 ...... -. g 0 10 0010 .0003 ...... _- _ -___ . I 1.0003 1.0000 .9999 1.0000 1.0000 I 1.0000 I 1.0000 1.0000 1.0000 11 0 0005 .0018 .0116 0422 .1019 2302 4917 8410 9579 10 1 0054 0153 .0636 .1549 .2586 3617 3606 1468 0413 9 2 .0269 0594 .1590 .2581 .2984 2584 1202 0117 0008 8 3 0806 1385 .2384 .2581 2066 1107 0240 0006 ______ .. 7 4 1611 2154 .2384 .1721 0953 0316 0032 ______ ,_ ____ ___ 6 5 2256 2346 .1669 .0803 0308 0063 0003 ______ __ __ 5 6 2256 ‘I824 .0835 .0268 0071 0009 _ . . , , _ _ _ _ , , _ _ _ __ I ______ __ 4 7 .1611 .1014 .0298 .0064 .0012 0001 _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _____ __ 3 8 0806 .0394 .0075 .0011 0001 _ . . . . _ . . _ _ _ _ . . . . . _ . . _ _ _ . _ _ _ ___ 2 9 0269 .0102 .0012 .0001 ,___ __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _ ____ __ 1 10 0054 .0016 .0001 _ _ . _ . . . . _ _ . . . . . . . . _ _ _ . __ __ . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 0 11 0005 .0001 ______ _______ ______ __ _ _ _ _ _ _ _ _ _ _ __ _ i 1.0002 i 1.0001 I 1.0000 II 1.0001 | 1.0000 II .9999 I 1.0000 I I 1.0000 12 0 I .0002 I .0010 I .0077 I .0317 I .0828 I .2014 I .4610 I .9541 11 1 I .0029 .0094 .0462 .1267 .2291 .3453 .3688 .0449 10 2 I 0161 0401 .1272 .2323 2909 2713 1352 .0010 9 3 .0537 .1039 .2120 .2581 .2238 .1292 .0300 ______ _- 8 4 .1208 .1818 .2384 .1936 .1162 .0415 .0045 ...... .. '2 s .1934 2262 .1908 .1032 0429 0095 .0005 6 6 .2256 .2052 .1113 .0401 .0115 .0016 ______ _. 5 7 I .1934 .1368 .0477 .0115 .0023 .0002 PROBABILITY TABLES FOR MENDELIAN RATIOS 11 Table 4. Probabilities of Mendelian Ratios.—(Continued). The group of combinations at each end of each expansion is set off so as to show the point beyond which the total probability in that direction is .0050 or less. » Mendelian Ratios , j 1mm Combi- nation 1 :1 9 :7 2 :1 3 :1 13 :3 7 :1 15 :1 63 :1 255 :1 D+R I 4 8 1208 .0665 .0149 0024 .0003 - -- 1.---.. __---- -__-._. 3 9 .0537 .0230 .0033 .0004 ..... __ ___. _ _ _ . _ _ . _ _ . _ . . _ . -- _-__. 2 10 0161 .0054 .0005 -- _.__ ...... -- _----_. _-__ 1 11 .0029 .0008 .... _-__ -___-_ ...... -. _.__ 0 12 .0002 . . . . . _ . . . . . . . . . . . . . . . . . . _ _ . . . . -. ______ -. % 9998 1 0001 1 0000 1.0000 9998 1 0000 1 0000 13 0 0001 .0006 .0051 0238 0673 .1762 .4321 12 1 0016 0057 .0334 .1029 2018 .3273 3745 11 2 .0095 0266 .1002 .2059 2794 2805 .1498 10 3 .0349 0760 .1837 .2517 2364 1470 0366 9 4 .0873 1477 .2296 .2097 1364 0525 0061 8 5 1571 2068 .2067 .1258 0566 0135 0007 7 6 2095 2144 .1378 .0559 0174 0026 .0001 6 7 2095 .1668 .0689 .0186 0040 .0004 -.-._.. 5 8 1571 0973 .0258 .0047 0007 .... _-__ _.__. _.__... _.__. 4 9 0873 0420 .0072 0009 .0001 ...... _- __..._ -_-_.. _.__ 3 10 0349 0131 .0014 .0001 _-__“ 2 11 0095 0028 .0002 ...... __ _-__-” ..... -_ __---_ 1 12 0016 .0004 ______ __ ___,_.__ _ __ __ . . _ . _ _ . . _ _ _ . . _ _ _ . _ . _ . . _ _ _ _.__. 0 13 .0001 __.___ -___ _.___. _.__ _.__- _-__. _.__. _.__ I 1 0000 1 0002 1 0000 1 0000 1.0001 1 0000 .9999 9999 1 0000 14 0 0001 .0003 .0034 0178 .0546 1542 4051 8021 .9467 13 1 .0009 .0035 0240 0832 .1765- .3084 3781 1783 052" 12 2 0056 0175 0779 1802 .2648 2864 1639 0184 0013 ' 11 3 0222 0544 1559 2402 .2444 .1637 0437 0012 ..... __ 10 4 0611 1163 2143 2202 .1551 0643 0080 0001 .._ .__. 9 5 1222 1809 .2143 1468 0716 0184 0011 _ . . . _ . . . . _ _ . . . .. 8 6 1833 2111 .1607 .0734 .0248 0039 .0001 ...... -- 7 7 2095 1876 .0919 .0280 0065 0006 . _ _ . . . . . . . . . . _ -- 6 8 1833 1277 .0402 .0082 0013 .0001 _ . . . . _ . . . . _ _ . . .. _-__ 5 9 1222 0662 .0134 .0018 .0002 _ . . . . _ _ _ . _ . . . . _ . . _ _ . . _ . _ _ . . . . . .. 4 10 0611 .0257 .0033 .0003 ...... _- - .... --_ 3 11 0222 . 007 3 .0006 ...... ._ -_-_._ . . . . . . . _ _ . _ . . . . . . . . . _-__ 2 12| 0056 | .0014 I .0001 | I ...... _. I ...... ._ I ______ ._ I ...... .. I ...... .. 1 13 0009 .0002 . _ . . _ . _ . _ _ _ . _ . _- ...... .- 0 14 .0001 _.__. _-__ _.__- _.__ _.__..- _.__ ._.-_.. ’ 1 0003 1.0001 1 0000 9998 1 0000 1.0000 1 0001 1 0000 . 0444 1349 3798 .7896 9430 1964 .1979 1 148 0100 001 1 _-__..- _-_--_-_ __- __.. .1964 .1539 0574 1527 .0931 0223 .0004 _ _ _ _ _ . . . . _ . _ . . ._ ._--..-- _-. -_ 10 0916 .0435 0067 .0001 ______ ._ _ _ _ . . . . . . _ _ . _-_ 15 __._. _.__ _____ _-__-.. ___-___ _.__. _.__. _.__ I 1.0000 1 0001 I 1 0000 .9999 1 0003 9999 .9999 1.0000 ...... .. 0001 .0015 0100 0361 1181 3561 .9393 0002 .0013 0122 0535 1332 .2699 3798 .0589 0018 0073 0457 1336 .2305 2891 .1899 .0017 0085 0265 1066 .2079 2483 1928 0591 _-__-.. 0278 0669 1732 .2252 1862 0895 .0128 _-__ 0667 1249 2078 .1802 1031 0307 0020 1222 1781 1905 .1101 0436 .0080 0003 .1746 1979 1361 .0524 0144 0016 _.__ --- __.. 12 BULLETIN NO. 463, TEXAS AGRICULTURAL EXPERIMENT STATION Table 4. Probabilities of Mendelian Ratios.——-(Continued). The group of combinations at each end of_each_expansion is set off so as to show the point beyond which the total probability 1n that direction is .0050 or less. Mendelian Ratios onflM- ggiion 1:1 9:7 2:1 3:1 13:3 7:1 15:1 63:1 255:1 D4—R| 7 9 I .1746 1197 .0340 I 0053 0003 . . - - . . - _ _ _ _ _ _ . . _ . . . . . . .. -.“_ 6 10 .1222 .0652 .0119 0014 -0001 _ _ _ _ _ _ _ . . . . . _ . . . _ . . . . _ . _ . _ . . . . _ 5 11 .0667 .0277 0032 -0002 11"“ _ . _ . _ _ _ . . . . . _ . . . . . . . . _ 1 __1_ 4 12 .0278 .0090 0007 . . . . . . . _ . . . . _ . _ . . _ . _ _ _ .. 3 13 .0085 .0021 0001 . . . . _ _ _ . . . . . _ _ _ _ _ . _ . _ _ ._ 2 14 .0018 -0004 ------ 1 »-~- - . » _ - - » - - _ - - - - H 1 15 .0002 ______ 1 »»““ -»~- - - - - ‘ - - - - » - < - - ~ 0 16 _ . . . _ . _ _ . _ _ _ _ _ . . . - - - - - - . . . - - - - - _ - - - - - - - - - - - - - - H 1 0000 1 0002 1 0000 1 0000 1 0000 1 0000 17 0 ...... 1 .0001 .0010 .0075 0293 1033 16 1 0001 .0007 0086 .0426 1150 2509 15 2 0010 .0046 0345 .1136 2123 2867 14 3 0052 .0181 0863 .1893 2449 2048 13 4 .0182 .0492 1510 .2209 1978 1024 12 5 0472 .0995 1963 .1914 1187 0380 11 6 0944 .1548 .1963 .1276 0548 0109 10 7 .1484 .1892 .1542 .0668 0199 0024 9 8 .1855 .1840 .0964 .0279 0057 0004 8 9 .1855 .1431 .0482 .0093 0013 .0001 7 10 .1484 0890 .0193 .0025 .0002 ______ 1 6 11 .0944 0441 .0061 0005 . . . . . . . . . . . . _ . 1 5 12 .0472 .0171 0015 0001 . . . . . _ _ _ . _ . . _ . _ _ . . _ . _ . . _ . . . . . _ . _ . . . . . _ _ 4 13 .0182 .0051 0003 . . . . . _ . . . . _ . . _ . _ . _ _ . _ . . . _ . . _ _ _ . . _ . _ . _ . . . . _ _ _ “_ 3 14 .0052 .0011 _ . _ _ . . . . _ _ _ . . . . . . _ . _ . . . . _ . _ _ . . _ . . . . . . _ _ . . . _ . . . _ . _ _ _ _ __ 2 15 .0010 .0002 . . . _ . . . _ . _ . _ . . . _ . . _ . _ _ . _ . . . _ . . _ . _ _ _ _ . . . . . _ . . _ . _ 1__" 1 16 .0001 _ . . . _ _ _ . . . . . . _ _ . . . . . . . . . . . . _ . _ _ . . . . . . . . . _ , _ _ _ . _ . _ _ _ _ . . ._ 0 17 _ _ _ _ . . . . . _ _ _ . . . _ . . . . _ . . . . . . . _ . ._ I . . . _ _ . . _ . _ _ _ . . . . . _ . . _ . . . _ _ . . . . _ 1 0000 I 9999 1 0000 1 0000 9999 9999 1 0000 1 0000 18 0 . _ _ . _ . . . . . . . _ _ _ 0007 0056 0238 0904 3130 7532 17 1 0001 .0004 0061 0338 0989 2324 3755 2152 16 2 0006 .0029 0259 0958 1940 2823 2128 0290 15'3 0031 0122 0690 1704 2388 2151 0757 .0025 14 4 0117 0356 .1294 2130 2067 .1152 0189 0001 13 5 .0327 0775 .1812 1988 1335 0461 0035 ______ 1 12 6 .0708 1306 .1963 1436 0668 0143 0005 _ . _ . . _ _ _ _ _ _ _ _ _ 1 11 7 .1214 1742 .1682 0820 0264 0035 0001 _ _ _ _ _ _ _ _ _ _ _ _ "_ 10 8 .1669 1863 .1157 0376 0084 0007 _ _ _ _ . _ _ _ _ _ _ _ . _ . _ _ _ _ _ ___ 9 9 .1855 1610 .0643 0139 0021 .0001 . _ . . . . . . _ _ _ _ _ _ _ . _ _ _ _ _ _ H 8 10 .1669 .1127 .0289 0042 0004 . . . _ _ . _ . . _ . . . . . _ _ _ _ _ . _ _ . _ . _ _ 1- 7 11 .1214 0637 .0105 0010 .0001 _ _ _ _ . . . . _ . . . _ _ _ _ _ . _ _ _ _ _ _ _ _ . . _ _ “ 6 12 .0708 0289 0031 .0002 . . _ . . . . . . _ . . . . . . . _ _ . _ . _ . . _ . . _ _ _ . _ _ _ _ _ _ _ 5 13 .0327 .0104 0007 ."__ _ _ . . . . . . . . _ . . _ . _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 1 4 14 .0117 .0029 .0001 . . . . . . . . _ . . . . _ . . _ . _ . . _ _ . _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ u 3 15 .0031 .0006 _ _ . . _ . . . . . . . . . _ . _ . _ . _ . . . _ _ . . . _ . . _ _ _ _ . _ _ _ _ _ _ _ _ _ _ ____ 2 16 .0006 .0001 ...... 1 .1". . _ . . . . . . . . . . . . . . _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ ___ 1 17 .0001 _ _ _ . . . . . _ _ . . . . . . . . . . . . _ . . . . _ _ . . . _ _ . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ n 0 18 _ . . . . _ . . . . . . . . . . . . . . . . . . . _ . . . _ . . _ . _ . _ _ . . _ . . _ . . . _ . _ . _ _ . _ _ _ _ _ _ _ _ _ _ _ _ ,__ 1 0001 1 0000 1 0001 9999 9999 1 0001 1 0000 1 0000 1 0000 19 0 . . . . . . . _ . . . . . . 1 0005 .0042 0193 .0791 2934 7414 9283 18 1 ...... 1 0003 .0043 .0268 .0848 2147 3716 2236 0692 17 2 0003 .0018 .0193 .0803 .1762 2760 2230 0319 .0024 16 3 0018 0082 .0546 .1517 2304 2235 0842 0029 .0001 15 4 0074 0254 .1093 .2023 2127 1277 0225 0002 ...... 1 14 5 0222 0592 .1639 .2023 1472 0547 0045 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 13 6 0518 1074 .1912 .1574 0793 0182 0007 , _ _ _ _ _ _ _ _ _ _ , _ _ _ 12 7 0961 1551 .1776 .0974 0340 0048 0001 _ _ _ . _ . _ _ _ _ _ _ _ _ 0 11 8 1442 1810 .1332 .0487 0118 0010 _ _ , _ _ _ , _ _ _ _ _ , _ _ _ _ _ _ _ _ _ __ 10 9 1762 1720 .0814 .0198 0033 0002 _ , _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___ 9 10 .1762 1338 .0407 .0066 0008 _ _ . _ _ . , _ _ _ _ _ _ _ , , _ _ _ _ _ _ _ _ _ _ . _ , _ __ 8 11 .1442 0851 .0166 0018 0001 . . . _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ n 7 12 .0961 0442 .0055 0004 _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ __"_ 6 13 .0518 0185 0015 .0001 , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 5 14 .0222 .0062 0003 _ _ . _ _ _ . _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ __ _“»_ 4 15 .0074 .0016 .0001 , _ _ _ _ , _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ __ _____ 3 16 .0018 .0003 . . _ _ _ . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 0 2 17 .0003 _ _ _ . . _ _ _ _ _ _ _ _ _ _ _ . , _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ , , _ A _ _ _ _ _ _ _ _ _ _ _ _ H PROBABILITY TABLES FOR MENDELIAN RATIOS 13 Table 4. Probabilities of Mendelian Ratios.—(Continued). The group of combinations at each end of each expansion is set off so as to show the point beyond which the total probability in that direction is .0050 or less. Mendelian Ratios Combi- nation 1 :1 9 :7 2 :1 3 :1 13 :3 7 :1 15 :1 63 :1 255 :1 D-I-R 18 . _ . . . . . _ . _ _ _ . _ . . . . . . _ . _ . . _ _ _ _ . -- ----_- . . . . _ _ _ . _ _ . . . . . . . _ _ _ . .. 19I .... .-_ .... -. ..__._ ..__._. _....._ ._____. I 1.0000 1.0001 1.0000 9999 9999 1 0000 1 0000 1 0000 0 ...... .- .0003 0157 0692 .2751 7298 9247 1 ...... -_ .0002 .0030 0726 .1977 .3667 2317 0725 2 .0002 .0012 .0143 1591 2684 .2323 0349 0027 3 .0011 .0054 .0429 2202 2300 .0929 0033 .0001 4 .0046 .0178 0911 2160 .1397 .0263 0002 ______ _. 5 .0148 .0444 1457 1595 .0638 .0056 _ . _ . _ _ _ _ _ _ _ . _ _ -- 6 .0370 .0863 1821 0920 .0228 0009 ...... -- .. 7 , .0739 .1342 1821 ' 0425 .0065 0001 . _ _ _ _ . . . _ . . . . . _. 8 .1201 .1697 1480 0159 .0015 _ . . _ . _ _ _ _ . . . . _ _ _ . _ . _ "1 9 .1602 .1759 0987 .0049 .0003 . . _ . _ _ . . . _ _ _ _ _ . . _ . _ . _ _ _. 10 .1762 .1505 0543 .0012 . . . . . _ _ _ . _ . . . _ _ _ _ . . _ . . . _ _ _ _ _ _ _ _. 11 .1602 .1064 0247 .0003 _ _ _ _ _ _ _ . . . _ _ . _ _ . . _ . . _ . ._ 12 .1201 .0621 0092 _ _ _ _ _ _ _ _ _ . _ _ _ . _ . . . _ . -__ ...... -. 13 .0739 .0297 0028 _ _ _ _ _ . _ _ . . . . _ . _ _ _ . . . _ _ __ 14 .0370 .0116 0007 . . _ . . . . . . _ _ _ _ . _ _ . . _ _ . _ .. 15 .0148 .0036 .0001 _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . . _ __ 161 .0046 I 0009 _ _ . _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ , _ _ . _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ __ 17 .0011 0002 ______ -- __ _ . _ _ _ . . . . . . . _ _ . _ . _ . _ . _ _ _ . . _ _ . _ _ -- I8 .0002 _ _ . . _ . _ . . _ . _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ . . . . . . . . . _ . _ . . . . _ _ _ . . _ _ . _ _ _ _ . _ .__ 9 _ _ _ . _ . . . _ . . . . . _ . _ _ _ _ _ _ _ _ _ . . . _ . . . . _ _ _ . _ . . . . _ _ _ . _ . . . . _ _ _ _ _ _ _ _ _- _. ____ .- 20 _ _ _ . . _ . _ . . . . _ _ _ _ _ _ . _ _ _ __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _ _ _ _ _ _ _ _ _ _ _ . _ _ __ I 1 0000 1 0001 1 0000 1 0001 .9999 .9999 I 9999 I 9999 1 0000 I I 0 . . _ . . _ . _ _ _ . . _ . ._ .0002 .0024 0128 .0606 .2579 7184 9211 1 ______ ._ 0001 I .0021 I .0166 I 0619 .1817 .3610 2395 0759 2 .0001 0007 I .0105 I .0555 I 1428 .2595 .2407 0380 0030 3 0006 .0035 .0333 .1172 I 2088 .2348 .1016 0038 .0001 4 I 0029 .0124 .0750 .1757 2168 .1510 0305 0003 ...... .. E °°’” '32?‘ "233 "135? 172% ‘$33 °°§“’ """"""""""""" " 0259 . 0 .17 .1 0 10 0 9 00 2 _ . _ _ . . . _ . _ . . . . .- 7 0555 .1133 .1821 .1265 0518 0086 0002 . _ . . . . _ . _ . . . . . -- 8 0970 .1542 .1594 .0738 0209 0021 _ _ _ . _ . _ _ . _ _ _ _ _ _ . . _ _ _ _ _ ._ 9 1402 .1732 .1151 .0355 0070 0004 _ . _ _ . . _ _ . . _ _ _ . _ _ . . . . _ . _- 10 1682 .1616 .0691 .0142 0019 0001 . . _ . _ _ _ _ _ _ _ . _ _ _ _ _ _ . . _ _ -. 11 1282 .1257 3004 . . _ . . . . . . . . . _ . . . . . . . . _ . . . . . . . . .- 12 02 .0815 . 1 0 . 00 _ . . . . _ . _ . _ . _ _ _ _ . . . _ . _ _ . . . _ _ . _ _ .- 13 0970 .0439 0050 0003 _ _ _ . _ _ _ . . _ . _ _ . _ . _ _ . . _ . _ . . . _ _ . . _ . . _ . . . _ _. 14 0555 .0195 0014 0001 . . _ _ _ . _ . _ _ . . _ _ . _ _ . . . . . . . _ _ _ . . _ . . . _ . . . _ .. 15 0259 .0071 0003 _ _ _ _ _ _ . _ _ _ . _ . _ . _ _ _ . _ . _ _ . . . _ _ . _ _ . . _ _ . . . _ . . _ . _ . _ _- 16 0097 .0021 .0001 . _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ . _ _ _ _ . . . _ . _ _ . . . . . _ _ . . _- 17 0029 .0005 _ . . . . . _ . _ _ _ . . . _ . _ _ _ . _ _ _ _ . _ _ . _ _ . _ _ . _ . . . . _ _ . _ . . . -. 18 0006 0001 _ . _ . _ _ _ _ _ _ _ _ _ _ . _ . _ . _ _ _ _ _ _ _ _ . . . .. g3 0001 - _ _ _ _ _ _ _ . _ . _ _ _ _ .. _ _ . _ . _ . _ _ . . . _ _ _ .- 21 _ . _ _ . _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ I 1.0002 I 1.0002 I 1.0000 1.0000 1.0000 1.0000 1.0000 0 I ...... .. I ...... ._ I .0001 I .0018 I .0104 .0530 .2418 1 I .0001 .0015 I .0131 I .0527 I .1665 I .3546 2 I .0001 I .0004 I .0077 0458 1277 .2498 2482 3 I .0004 I .0023 I .0257 1017 1964 32379 1103 ‘é ' "$31.3 ' ‘$33.3 I "$55 135% 3Z3 ‘éiéfi ' 333 6 .0178 0526 .1558 I .1826 .1169 .0336 .0016 7 I .0407 0934 I .1781 I .1391 .0617 .0110 0002 8 .0762 1363 I .1670 0869 .0267 0029 ...... _- 9 I .1186 1649 I .1299 0451 .0096 0007 ...... __ 19 I 0195 .0029 .0001 ...... -- . . 1 .0 .0071 .0007 . . . . _ . . _ _ _ _ _ _ . __ 12 .1542 .1008 .0211 .0022 .0002 . _ _ . _ . . . . _ . _ . . _. lil . - _ - - - - - _ - _ - - - - - - - - - - - - - - - - - - - -- 15 .0407 .0125 .0007 ...... _.- _ _ _ . . . . . . . . . . . . . . . . . _ . .. 16] .0178 .0043 .0002 . _ _ _ _ _ _ _ _ _ _ _ . . _ . _ _ _ _ . _ . . . _ . _ _ _ . . . . _ . . . _ _ . _ . _ . . _- 14 BULLETIN NO. 463, TEXAS AGRICULTURAL EXPERIMENT STATION Table 4. Probabilities of Mendelian Ratios.——(Continued). The group of combinations at each end of each expansion is ‘set off so as to show the point beyond which the total probability in that direction is .0050 or less. - Mendelian Ratios 2 :1 3 :1 13 :3 7 :1 15 :1 63 :1 255 :1 1 0000 1 0000 1 0001 .9999 1 0000 1 0001 1 0001 0001 .0013 0084 .0464 2266 6961 9139 0010 0103 0448 .1523 3475 2541 0824 .0056 0376 1136 .2394 2548 0444 0036 0197 0878 1835 .2394 1189 0049 .0001 0493 1463 .2118 .1710 0396 0004 ...... ._ 0937 1853 .1857 .0928 0100 . . . . . . . . . . . . . . .. 1405 1853 .1286 0398 0020 - 1707 .1500 .0720 0138 0003 ...... .. -- ._._ 1707 1000 .0333 0039 . . . . . . . . . . . . . _ -- 1422 0555 .0128 0009 ...... .. .-_-._ 0996 0259 .0041 0002 . . . . . _ . _ _ _ . _ . _ . . _ _ . . . . .. 0588 0102 0011 . . _ . . . . . . . . . . . . . . . . . . _ . . . . ...._ 0294 .0034 .0003 . . . . . . _ . . _ . . . . . . . . . . _ . . . . . . ..__ 0124 .0010 _ _ . . . . _ . . . _ . . . . _ . . . . . . . . . . . . . . .. -_ 0044 .0002 ...... -. ...... -- -- . ..-_.. .0013 . . _ . . . . . . . . . . . _ . . . _ . . . . . . . . . . . . . . . .__. 0003 . _ _ . . . . . . . . . _ . . . . . . . . . . . . . . . . . . . . . . . . . .. ..1 .0001 ...... -- ...... .. -... .. ...... _- I 9999 9997 .9999 I 1 0000 24 0 ‘ ...... .. 0406 .2125 .6853 9103 23 1 ...... -- 1391 .3400 .2610 0857 22 2 .0002 2285 .2606 .0477 0039 21 3 .0001 .0010 2394 .1274 .0055 0001 20 4 0006 .0039 .1795 .0446 0005 ...... .. 19 5 0025 .0122 1026 .0119 _ _ _ _ _ _ . . _ . _ _ _ _ __ 18 6 0080 .0300 0464 .0025 . . . . _ _ _ . , _ _ _ _ _ __ 17 7 0206 .0600 .0171 .0004 16 8 0438 .0992 .0052 .0001 15 9 0779 1371 .0013 ...... -. 14 10 1169 1600 .0003 _. 13 11 1488 1584 .0001 . _ . . . . . . _ _ _ _ _ _ __ 12 12 1612 1334 . . . . . _ _ . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 11 13 1488 0958 . _ . . . _ . . . _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 10 14 1169 0585 _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 9 15 .0779 0304 _ . . . . . _ . _ _ _ _ _ _ . . _ . _ _ _ . _ _ _ _ _ _ _ _ __ 8 16 .0438 0133 _ _ _ . _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 7 17 .0206 0049 _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 6 18 .0080 0015 _ . _ . _ _ _ . _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ , _ _ _ , _ __ 5 19 .0025 .0004 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ , _ ,_ 4 20 .0006 .0001 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ __ _ 3 21 .0001 ______ __ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ ,_ ______ __ 2 22 _ _ _ _ _ _ _ , _ _ _ _ _ __ __ _ _ _ _ _ _ _ _ _ , _ _ _ _ , _ _ _ _ _ , _ __ ______ __ 1 23 ...... ._ _ ____ __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 0 24 .............. __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ ___ _ _ _ _ _ _ _ _ _ _ _‘ 9996 1 0003 1 0001 1 0000 1 0000 1 0001 1 0000 1 0000 1 0000 25 0 - - - - - - - - - - - - - - - - - - - - - - -- 0008 0056 0355 .1992 6745 .9068 24 1 ...... __ 0005 0063 .0321 126g 3320 2677 0339 23 2 ...... .. 0001 0030 0251 .0889 2173 2656 0510 0042 22 3 0001 .0006 0114 .0641 .1573 2380 1357 0062 0001 21 4 .0004 .0026 0313 1175 .1997 1870 0498 .0005 .... .._ 20 5 0010 0086 0658 -1645 .1936 1122 0139 . _ . _ _ _ _ _ _ _ _ . _ _ __ 19 6 0053 .0222 1096 .1828 1489 0534 0031 ______________ __ .4-4i—1‘-___ PROBABILITY TABLES FOR MENDELIAN RATIOS 15 Table 4. Probabilities of Mendelian Ratios.—(Continued). The group of combinations at each end of each expansion is set off so as to show the point beyond which the total probability in that direction is .0050 or less. Mendelian Ratios Combi- nation 1:1 9 :7 2 :1 3 :1 13 :3 7 :1 15 :1 63 :1 255 :1 I l I I I .1487 .1654 .0933 .0207 0006 ...... -- ..___. 1673 .1241 .0484 0067 0001 .... _. .1580 0781 .0211 0018 . _ . . . . . . . _ _ _ . _ . _ . _ . . . _ ._ 1264 .0417 .0078 0004 _ _ . . . _ . . _ . . . .__ ._ 0862 0189 .0025 .0001 . . . . . . _ . . . _ . _ . . _ . . . . .- 0503 0074 .0007 ..___.. ...... .. 0251 .0025 .0002 - ...... .- 0108 .0007 . _ . _ _ . . . . _ . . . _ _ . . . . _ _ . . . . . . . . _ .. 0040 .0002 . . _ . . . . _ _ . . _ . . . . . . . . . -- ...... .. 0012 . . . _ . _ . _ . . _ _ _ . . . _ . . . _ . ._ _ 0003 ...... .. __ _ -_ -_ _ . . . . . . . . . . _ _ . . _ . _ . . . -. .0001 . . . . . . . . _ . . _ . . . . . . . _ . . .. _ . . _ . . . . _ _ _ . . . . _ .._.. 1 0000 1 0001 1 0001 .9999 1 0000 9999 1 0000 ______ _- 0006 .0046 .0311 .1867 6640 .9032 0003 0049 0271 .1154 .3237 2740 0921 .0021 0204 0783 .2060 .2697 0544 0045 0086 .0544 1445 .2354 1439 0069 .0001 .0247 1042 1918 .1934 0551 0006 .0543 .1528 .1947 .1216 0162 .... _._. ...... -- 0950 1782 1573 0608 0038 ...... .- 1357 .1698 1037 0248 .0007 _ . . . . . _ . . . . . . . .. 1611 1344 .0568 0084 0001 ...... -- ..___. 1611 .0896 .0262 0024 ...... _. _. .-_.. ..___. 1370 .0508 .0103 0006 _ _ _ . . _ _ . . . . .__ _._.. 0996 .0246 .0035 .0001 ...... .- _._.... .._.-... 0623 .0103 .0010 ..___.. ____ .__ _._.... .__ 0335 .0037 0002 ...... .. ..___.. -__ -__ -__. 0156 .0011 .0001 ..... _. __..__ --..___ 0062 .0003 . . _ . . _ _ . . . . . . _ .- _...-__ _-__- 0021 .0001 _ . _ . . _ . . . m . _ . . . . _ _._. _._.__ .._..... 0006 _..--_ .._....- _._..__ 0002 ______ .. ..... _- ..... _- ..___.. 1 0000 1 0002 1 0001 1.0000 9999 9999 9999 ______ _. 0004 .0037 .0272 1751 6536 8997 0002 .0038 0229 .1048 3151 2801 .0953 0015 0165 0687 .1947 2731 0578 0049 0064 0459 1321 .2318 1517 0076 0002 0193 0917 1829 .1987 0607 0007 ..... _. 0444 1406 1942 .1305 0186 0001 0814 .1719 .1643 .0684 0045 _ _ . . _ _ . _ _ . _ .-__ 1221 1719 .1137 0293 0009 . . . . . . . . _ . . . _-_. 1526 1432 .0656 0105 0002 _ _ . . . . . . . . .__ 1611 1008 .0320 0032 ______ _. 1450 0605 .0133 0008 1121 0312 .0047 0002 _._...- .-_-_ ..___ 0747 0139 0015 . . . . . . . _ . _ .-__ ..__. _.~__ 0431 .0053 0004 , , _ _ _ _ _ . _ _ _ _ _ _ _ _ . _ _ _ _ . . _ . _ _ _ _ _ __ 0216 .0018 .0001 . . . . _ . . . . _._. ._..._ ..___. 0093 .0005 ______ .- .__-.. ---___ .__._ .._.-... 0035 .0001 . . . . . . . . . . . . -__ _...__ -.___. _._-__ 0011 ______ .. -.___. .__ . . . _ . _ _ _..._ ____. ..___.. 0003 .--._._ ______ .._..... -.___.. ..___.. ..___. .0001 . . _ _ _ _ . . _ _ _ . . _ _ . . _ _ __- ___._- -__... 10 BULLETIN NO. 408, TEXAS AGRICULTURAL EXPERIMENT STATION Table 4. Probabilities of Mendelian Ratios.-—(Continued). The group of combinations at each end of each expansion is set off so as to show the point beyond which the total probability in that direction is .0050 or less. Mendelian Ratios -- 1 I l ggtilgii 1 :1 9 :7 2 :1 ( 3 :1 ‘ 13 :3 \ 7 :1 H 15 :1 r 63 :1 l 25511 n+8 l I 7 20‘ .0000 0010 . . . . . _ . _ _ - _ - _ - - - . - - - - - - - - - - - » - - - - - - - - - - - - - - - - - -- ---— 0 21 .0022 .0003 . . _ . _ . . . _ - - - - - - - - - - - - - » - - - - - » - - - - - » - - - - - - ~ - - - - - - - - - - ~- 5 22 .0000 .0001 . . . . . . . _ . . . . _ _ _ - _ - - _ - - - - - - - - - - - - - - - » - - -- ~--- 4 28 .0001 ...... .. ---------------------- -- 8 24 .............. -_ _.... ------------------------------ -- 2 25 ___ .._--_ ______ .- _- -- -~— -—- 9990 1 0001 .9998 1 0000 1 0001 9999 9999 1 0001 23 0 l _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ . _ _ __ _0003 .0030 1041 6484 8962 27 1 ______ __ _ 0002 .0030 .0198 3064 .2860 .0984 26 g _ _ _ _ _ _ _ _ _ . _ _ _ _ _ 0011 0133 0001 2757 .0613 0052 25 8 ...... -- 0002 .0048 0885 1202 1598 .0084 0002 24 4 .0001 .0008 .0150 0808 1784 0004 .0008 _-..._ 28 5 .0004 .0028 .0800 1284 1920 0212 .0001 .-__ 22 0 0014 .0084 .0091 .1041 1699 0054 ------ -- ~---- 21 7 1 0044 1 0201 .1085 1719 1282 1 0011 1 ______ .. 1 .... -._ 20 8 0110 0420 .1425 1504 0746 0002 ------------ --- 19 9 0257 .0725 .1588 1114 0888 . . . . . . . . . . . . . . . . . . _ .4. 18 10 0489 1072 .1504 0700 0108 .............. .. ..__ 17 11 0800 1804 .1280 0885 0008 ...................... .. 10 12 .1188 1508 .0872 0182 0021 .............. .. .-._ 15 18 1895 1489 .0580 0075 0000 . . . . . . . . . . . . . . . . . . .._. 14 14 1494 1199 .0287 0027 .0001 -.-.__ 18 15 1895 .0870 .0184 0008 . . . _ . . . . . . . .-_ 12 10 .1188 .0550 0054 0002 ...... .. 11 17 0800 .0802 0019 0001 .............. .. 10 18 0489 .0144 0000 ...... .. -..- . ...... -- 9 19 0257 .0059 0002 _ . . . _ . . . . . . . . . . . . . _ . _ . . . . . . _ _ . . . . . . . . . .. .- -.- 8 20 0110 .0021 . _ . . . . . . . _ . . . . . . _ _ . . . . . _ . _ . . . _ . . . . . . . . . . . . _ . . _ . . . . . .._ 7 21 0044 0000 . . . _ . . . . . . . . _ . . . . . . _ . . . . _ _ . . . _ . . _ . . . . . . . . . . . . . .. ._ 0 22 0014 .0002 ...... __ .............................. .. _ .... .- 5 28 .0004 , _ _ _ _ _ _ _ _ . . _ _ _ _ _ . . _ . _ _ _ _ _ _ . _ _ _ _ . _ . _ . . . _ . . . . . _ . _ . . _ . . . . .. --._ 4 24 .0001 ...................... __ _ _ _ _ _ _ _ _ _ . _ . . . . . . . . . . . . . _ . _ .-_ 8 25 ...... _- _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 2 20 ______ __ ____ ______ _ _ _ _ _ _ _ _ ___ ____ ____ 1 1.0000 I 9999 .9999 1 0002 9999 1 0002 9998 1 0000 1 0000 29 0 ...................... -- 0002 .0024 .0208 1589 0884 8927 28 1 ...... .. .0001 .0028 0102 .0802 2975 2915 1015 27 2 .............. .. .0008 0107 0525 1724 2777 0048 0050 20 8 0001 .0080 0822 1089 2217 1000 0098 .0002 25' 4 ...... _. 0005 .0110 0098 1084 2058 0722 0010 .__ 24 5 0002 .0019 .0290 1104 1885 1470 0241 0001 .... .._ 28 6 0009 0000 .0580 .1552 1740 0840 0004 ___________ _-_ 22 7 0029 0152 .0954 .1099 1820 0894 0014 ______ __ __,__1 21 8 0080 0326 .1312 .1558 0838 0155 0003 ______ __ ________ 20 9 0187 0591 .1530 .1212 0451 0052 .............. __ ___ _ 19 10 0378 0920 .1580 .0808 0208 0015 ______________ -_ _ 18 11 0044 1280 1821 .0405 0088 0004 ______________ -_ ______ 17 12 .0967 .1442 0991 .0288 0029 .0001 .............. _. ____ 10 18 1204 1407 0048 .0101 0009 ______________ __ _____ __ 15 14 1445 1804 0870 0030 0002 ______ __ ____ ___ _____ 14 15 1445 1014 0185 0013 0001 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 18 10 1204 .0090 0081 0004 ______________________________________ __ 12 17 0907 .0410 0081 .0001 ______________________________________ __ 11 18 0044 .0218 0010 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 10 191 0878 1 .0090 1 0003 1 ______ __ 1 _ V _ _ _ _ _ . _ _ _ _ _ _ __ 1 ______________ __ 9 201 0187 .0087 0001 | _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___ 8 211 0080 .0012 ______ __ __ ______________________________ __ 7 221 0029 .0004 _ _ _ _ _ _ _ _ _ . , _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___ 6 231 0009 0001 | ______ __ | _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ’ ’ _ _ __~ _ _ _ _ ‘ _ _ _ _ _ _ _ _ _ __ 5 24 0002 ______ __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ A _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 4 25 ._ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ __ ______ __ 8 20 ______ __ ______ ____ _____ ____ _____ '1 1.0000 i 1.0000 I .9998 1 1.0001 1.0000 1.0000 1.0001 1 1.0001 1.0000 30 0 I 1 ...... .. 1 ...... __ 1 .0002 1 .0020 1 .0182 1 .1448 .0285 .8892 29 1 l ______________ .- .0001 l .0018 1 .0187 1 .0780 1 .2885 .2909 1 .1040 8 PROBAIBILITY TABLES FOR MENDELIAN RATIOS 17 Table 4. Probabilities of Mendelian Ratios.—(Continued). The group of combinations at each end of each expansion is set off so as to show the point beyond which the total probability in that direction is .0050 or less. Mendelian Ratios Combi- I nation 1:1 9:7 2:1 3:1 13:3 7:1 15:1 63:1 255:1 D-I-R . I I 28 2 . . . . _ _ _ _ . . . . . . .. 0006 .0086 .0457 .1616 2789 0683 0059 27 3 ______ __ 0001 .0026 .0269 .0984 2155 1735 0101 0002 26 4 ______ _. 0003 .0089 .0604 .1532 2078 0781 0011 ______ -. 25 5 .0001 .0013 .0232 .1047 1838 1544 0271 0001 ______ ._ 24 6 .0006 .0042 .0484 .1455 1768 0919 0075 _ _ . _ . . . . _ _ _ _ . _ ._ 23 7 .0019 .0112 .0829 .1662 1399 0450 .0017 _ . . _ . . . . _ _ . . . _ .. 22 8 .0055 .0250 .1192 .1593 0928 0185 0003 . . _ _ _ _ _ _ . . _ . . _ -_ 21 9 .0133 .0475 .1457 .1298 0523 0065 0001 _ _ . _ . _ . _ . . . . _ . _- 20 10 .0280 .0776 .1530 .0909 0254 0019 _ _ _ . _ _ . . . . . . _ _ _ _ . _ . . . . .- 19 11 .0509 .1098 .1391 0551 0106 .0005 _ _ _ . . . _ _ _ _ . _ _ . _ _ . . . . _ . -_ 18 12 .0806 .1352 .1101 0291 0039 0001 . . _ . . _ . . . . . . _ _ _ . _ . . . _ _ _. 17 13 .1115 .1456 .0762 0134 0012 . _ . . . . _ _ . . _ . _ . _ . . . . . _ . . . . . . . _ _ __ 16 14 .1354 .1375 .0463 0054 0003 . . . _ _ . _ . . . . _ . _ _ _ . _ _ _ _ _ . . _ . _ . . . .. 15 15 .1445 .1141 .0247 0019 0001 _ _ . _ _ . . _ . . . . _ . . . . _ _ . . _ _ . . _ . _ ___ 14 16 .1354 .0832 .0116 0006 . . _ . . _ _ _ _ _ . _ _ _ _ . . . . . . . _ . _ _ _ _ _ . . . _ _ _ _ _ . _. 13 17 .1115 .0533 0048 0002 . . _ . . _ _ _ _ _ _ _ _ _ _ . _ . . _ _ _ . _ . . _ . _ _ . . . . . _ . _ _. 12 18 .0806 .0299 0017 _ _ ___ _ . _ _ . _ _ _ _ _ _ _ _ . _ . _ _ _ . _ _ _ _ _ _ _ . _ __ 11 19 .0509 .0147 0005 _ . . _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ . . _ _ _ _ _ _ . _ _ _ . . _ _ . _ . _ . . . _ . . __ 10 20 .0280 .0063 0001 _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ . _ . . . _ _ _ _ _ _ . . _ _ __ 9 21 .0133 .0023 . _ _ _ , _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . . . _ _ . _ _ _ _ . _ _ _ _ _ _ _ _ _ _ . . . _ . . _ _ _ _. 8 22 .0055 .0007 _ _ , , _ _ _ _ _ _ _ _ _ _ , _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ . _ _ _ . _ _ __ 7 23 .0019 0002 _ . _ _ , _ , _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ . _ _ _ , . . . . . _ . __ 6 24 .0006 , , _ , _ _ _ _ _ _ _ _ , _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _, 5 25 .0001 _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ __ 4 26 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ 3 27 _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ , _ _ , , ,_ _ _ _ _ _ _ _ A _ _ _ _ _ _ _ _ _ ‘ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ __ 1 0001 I 1.0000 9997 1 0000 1.0001 9999 1.0000 1 0000 I 9999 31 0 _ _ . _ _ . _ _ _ _ _ _ _ . __ . 0001 I .0016 I 0159 .1352 6137 8857 3O 1 _ _ _ _ _ _ _ _ _ _ _ _ , , __ .0001 0014 0115 0706 .2795 3020 1077 29 2 _ . . . _ . _ _ . . . _ _ . _. .0004 0069 0397 1512 2795 0719 0063 28 3 ______ .. .0020 0223 0885 2088 1801 0110 0002 27 4 _ 0002 .0068 0520 1429 2088 0841 0012 ______ __ 26 5 .0001 0009 .0185 0937 1781 1611 0303 0001 ______ __ 25 6 .0003 0029 .0400 1353 1781 0997 0087 . . . . . _ . . . _ _ . _ . __ 24 7 .0012 0081 .0714 1610 1468 0509 0021 _ . . . . _ . . _ _ . _ _ _ .. 23 8 .0037 0190 .1071 1610 1016 0218 0004 _ _ . . _ . . . . _ . . _ _ _. 22 9 .0094 0377 .1369 1372 0599 0080 0001 . _ _ _ _ _ . _ . . . . _ . ._ 21 10 .0207 0645 .1506 1006 0304 0025 . . _ _ . . . _ _ . . . . _ _ _ . _ . . . _ .- 20 11 .0394 0957 .1437 0640 0134 0007 _ _ _ _ _ _ _ . _ _ . . _ . _ _ . . . _ _ _ -_ 19 12 .0657 1241 .1198 0356 0052 0002 . _ _ . _ _ _ _ . _ . . . . . _ _ . . . . . __ 18 13 .0960 1410 .0875 0173 0017 . _ . _ . . _ _ _ . . . . _ . _ _ _ _ . _ . . . . . _ . _ . _. 17 14 .1235 1410 .0563 0074 0005 _ _ _ _ _ . . _ _ _ _ _ _ _ . . . . . . . _ . . . . . _ _ . .. 16 15 .1399 1243 .0319 0028 .0001 . . _ _ . . . . . . . . _ _ . _ . . . . . _ . . _ _ _ . _ _ ._ 15 16 .1399 0967 .0160 0009 _ . _ _ _ , . _ . _ _ _ _ _ _ . _ _ . . . . _ _ _ _ _ _ _ . . _ _ . . _ _ _ __ 14 17 .1235 .0664 0070 0003 _ _ _ _ _ _ _ _ _ . _ _ _ _ _ . . _ . . _ . _ _ . . . . . _ . _ . _ . . _ _ _. 13 18I .0960 .0401 0027 .0001 , _ _ . . . _ _ _ . _ _ _ _ _ _ _ . . . _ _ _ . . . . _ . . . _ _ . . _ . . __ 12 19I .0657 0214 0009 _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , , _ _ _ _ . . _ _ _ _ _ _ _ . _ _ . _ _ _ ._ 11 20] .0394 0100 0003 _ , _ . _ . _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . . _ . . . . . _ . _ . . . . .. 10 21I .0207 0041 0001 _ _ _ _ _ _ _ _ _ _ _ _ . . ._ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ . _ . . _ . .. 9 22| .0094 0014 _ _ _ _ _ _ _ _ _ , _ . . _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ . . _ . _ , _ _ . _ __ 8 23I .0037 0004 _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ I , _ , _ _ _ _ _ _ _ _ _ , _ _ _ , _ _ _ _ , , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _. 7 24 .0012 0001 _ _ _ . _ _ . _ _ . _ _ _ . __ I . _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ . . . . . _ . . _ . . _. 6 25 .0003 _ _ _ _ , _ _ _ , , , , _ _ _ _ _ _ , _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ , _ _ , , . _ _ _ _ . _ _ _ _ _ , _, 5 26 .0001 . _ . . _ _ _ _ _ , _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ , , _ _ , _ __ 4 27 . _ _ _ _ _ _ . _ _ _ _ _ _ . _ _ _ _ _ , _ _ , , , , _ A _ , _ _ _ , _ _ , , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ , , _ _ _ _ __ 3 2s ...... .. 1 _ . _ _ _ _ _ _ _ _ _ __ _______ ,_ | _ _ _ _ , _ _ _ _ . _ _ , _ _ _ . . _ _ _ _ _ _ . . _ _ _ _ ._ II .9998 I 1.0000 I 1.0000 i .9999 I 1.0000 I 1.0002 1.0000 9999 32 0 I . . _ . . _ . . . _ _ _ . . . _ _ _ _ _ _ . .. .0001 .0013 .0139 .1268 .8823 31 1 - - - _ _ _ . _ . . _ _ . _ .. _ .0011 .0096 .0637 .2705 1107 30 2 _ _ _ _ _ _ . _ _ _ . . . ._ .0003 .0055 .0344 .1411 .2795 0067 29 3 ...... _. _ .0014 0185 .0793 2016 .1863 0003 28 4 ...... ._ 0001 .0052 0446 1327 2088 .0901 ______ __ 27 5 ______ __ 0006 .0146 0833 1715 1670 .0336 ______ __ 26 6 0002 0022 .0328 1249 1781 I 1074 .0101 25 7 .0008 0058 .0610 1546 1526 I 0570 .0025 24 8 0024 0142 .0952 .1610 1101 I 0254 0005 I 23 9 0065 0295 .1270 .1431 0677 I 0097 0001 I 18 BULLETIN NO. 463, TEXAS AGRICULTURAL EXPERIMENT STATION Table 4. Probabilities of Mendelian Ratios.—(Continued). The group of combinations at each end of each expansion is set off so as to show the point beyond which the total probability in that direction is .0050 or less. Mendelian Ratios Combi-I nation 1 :1 9 :7 2 :1 3 :1 13 :3 7 :1 D+R - I 22 10' .0150 I .0527 I .1460 .1097 .0360 .0032 21 11 0300 0820 .1460 0732 0166 0009 20 12 0526 1117 .1278 0427 0067 0002 19 13 0809 1336 .0983 0219 0024 ..... 1 18 14 1098 1410 .0667 0099 0007 ...... 1 17 15 1317 .1316 .0400 0040 .0002 111- ...... .. .111. ...... 1 16 16 1399 .1088 .0213 .0014 .0001 ............. 1 1111 1111 15 17 1317 .0796 .0100 0004 .............................. 1 1111 14 18 1098 .0516 0042 0001 . . . . _ . . . . _ . _ _ . . . . . _ . . . . . . . _ . . . 1 1.11 13 19 0809 .0296 0015 . . . . . . . . _ . . . . . . . . . . . . _ . . . . . . _ . . . . _ . . . . 1 1. 12 20 0526 .0150 0005 . . . . _ . _ . . _ _ . _ . . _ . . . . . . . . . . . _ _ . . . _ . . . . . .. -11- 11 21 0300 .0066 0001 1 ...................... 1 1111 1 . 10 22 0150 .0026 . . . . . . . _ . . . . _ . _ _ . . . . _ . . . . . . . . . . . . . . . . . . . _ . . . . . 1 - 11 9 23 0065 0009 . . _ . _ _ . . . . . . . . . . _ . . _ . . . . . _ _ . . . . . _ . . . . . . . . . . . _ . 1 1 11 8 24 0024 .0003 . . . . . _ . _ . . . . . . . . _ _ . . . . _ . _ _ . _ . . . . . . . . 1 _ . . . . . . . . . . . . . . _ . 1 7 25 0008 .0001 _ _ _ _ _ . _ . _ . . _ _ . . . _ . _ _ _ _ _ _ . _ . . _ _ _ _ _ . . . _ _ . _ _ . . . . . 1 1. 6 26 0002 . . _ . . . _ _ . . _ . . . . . . . _ _ . . . _ _ _ _ _ _ _ _ _ _ . _ . . . _ . . _ . . _ . _ . . . . _ _ . . . . . . . . . 1 5 27 . . . . . _ _ _ . _ _ . _ _ . . . . _ _ _ , _ _ _ _ _ _ . . . _ _ _ _ _ . . _ _ _ _ _ _ , _ _ _ _ _ 1 _ _ _ _ _ _ _ _ . _ . . _ _ . 1 . . _ 1 4 28 . _ . . _ . . . . . _ . . . . _ _ _ _ _ . . . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ , _ _ _ _ _ _ _ _ _ _ _ _ _ . . _ . _ _ _ _ _ _ . _ . _ . . 1 g 9997 1 0001 9999 1 0000 1.0000 9999 1 0000 1 0000 1 0000 33 0 ...................... 1 .0001 .0011 0122 1189 5947 8788 32 1 ...................... 1 .0008 .0081 .0575 2615 3115 1137 31 2 .............. 1 0002 .0044 .0297 .1314 2789 0791 0071 30 3 1-1- ______ 1 .0011 .0152 .0709 .1940 1922 0130 0003 29 4 ...... 1 0001 0040 .0381 .1227 2079 0961 0015 ...... 1 28 5 ...... .. 0004 0115 .0736 .1642 1722 0372 0001 1-_1 27 6 0001 .0014 0267 .1145 1769 1148 0116 ...... 1 1 11 26 7 0005 .0042 .0516 .1472 1574 0633 0030 .............. 1 25 8 0016 .0106 .0838 .1594 1181 0294 0006 .............. 1 24 9 0045 .0228 .1164 .1476 0757 0117 0001 ............. 1 23 10 0108 .0426 .1397 .1181 0419 0040 .............. .. 11 22 11 0225 .0692 .1460 0823 0202 0012 ...................... 1 , » 21 12 0413 .0987 .1339 0503 0086 0003 ...................... 1 20 13 0667 .1240 .1081 0271 0032 .0001 ...................... 1 19 14 0953 .1378 .0772 0129 0011 . . . . . . . . . . . . . . 1 18 15 1207 .1357 .0489 0054 0003 ...... 1 17 16 1358 .1188 .0275 0020 .0001 ...... 1 16 17 1358 .0924 .0138 0007 ...................... 1 15 18 1207 .0639 0061 0002 . . . . . . . . . . . . . . . . . _ . . . . . . . . . . . . . . . . _ . . . . 1 14 19 0953 .0392 0024 .0001 _ 1 ...................... __ -11. 13 20 0667 .0214 0008 _ _ _ . _ . . _ _ _ _ _ _ _ _ _ _ . . . _ _ _ _ _ _ . _ . . 1 1 1 1 ____ 1 12 21 0413 .0103 0003 . . _ . _ _ . . _ _ _ . _ _ . _ . . . . . _ . . _ _ _ _ . _ _ . . _ _ . . _ . . . . . _ _ _ 1 11 22 0225 .0044 0001 _ . . . _ _ _ _ _ _ . _ _ _ _ _ _ . . _ _ _ _ . _ _ _ . _ . _ _ _ _ _ _ _ . . _ . _ _ 1 _ _ . 1 10 23 .0108 .0016 _ _ 1 _ _ _ . _ _ . . . 1 _ _ _ , _ _ _ _ _ _ _ _ _ , _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ 1 9 24 .0045 0005 , _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 1 _ _ _ _ _ _ _ _ _ _ _ 1 _ _ _ _ , _ _ _ _ _ , _ 1 8 25 .0016 .0001 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 1 7 26 .0005 _ 11 _ _ _ _ _ . _ _ . _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ 1 _ _ _ _ _ _ 1 6 27 .0001 ______________ 1 ___ _ _ _ _ _ _ _ , , _ _ _ _ _ _ _ _ _ _ _ 1 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 1 5 28 . . _ . _ _ . _ . . . . _ . . _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 1 1_ 11 1 1111 4 29 ______________________ 1 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 1 1111 | 9996 1 0001 1 0001 1 0000 1.0002 1 0000 1 0001 9999 9999 34 0 ..................... 1 0001 0009 0107 1114 5854 8754 33 1 ...... 1 1111 ...... 1 0006 0067 .0518 2526 3159 1167 32 2 ____ 11 ...... 1 0001 .0035 0257 .1222 2778 0827 0076 31 3 ______________ 1 0008 0125 .0632 1862 1976 0140 0003 30 4 ______ 1 0001 .0030 0324 .1130 2061 1021 0017 1111 29 5 ...... 1 0003 0090 .0647 1564 1767 0408 0002 -111 28 6 0001 .0010 0217 .1042 1745 1220 0132 ______________ 1 27 7 0003 -0030 .0433 .1390 1611 0697 0035 .............. -. 26 8 0011 0078 .0731 .1564 1254 0336 0008 .............. 1 25 9 0031 0174 .1055 .1506 0836 0139 0002 .............. 1 24 10 0076 0339 .1319 1255 0482 0050 ...................... 1 23 11 -0167 0576 .1439 0913 0243 0015 ______________________ 1 22 12 0319 0858 .1379 0583 0107 0004 ______________________ 1 21 13 0540 .1129 1167 0329 0042 0001 _ _ _ _ _ _ _ _ _ _ _ _ . _ . _ _ _ _ _ 11 20 14 -0810 .1318 0875 .0164 0015 , _ 1 _ . . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 1 PROBABILITY TABLES FOR MENDELIAN RATIOS 19 Table 4. Probabilities of Mendelian Ratios.——(Continued). The group of combinations at each end of each expansion is set off so as to show the point beyond which the total probability in that direction is .0050 or less. Mendelian Ratios I I I I I 1:1 I 9:7 I 2:1 I 3:1 I 13:31 7:1 l 15:1 I 63:1 l255:1 1080 .1366 .0584 0073 0004 _ _ _ _ . . . . _ _ _ _ _ . . . . _ . . _ . _ _ . _ . . . . .. 1283 .1262 .0346 0029 _ _ _ . . _ _ . _ _ . _ _ _ . _ . _ . . _ . _ . _ _ _ . . _ _ _ _ _ . . _ _ .. 1358 .1039 .0183 0010 . . _ _ _ _ . . . . . . _ _ _ . . . _ _ . . . . . . . . . . _ _ . _ _ . _ . _. 1283 .0763 .0087 0003 _ _ _ . . . . _ . . . . . . . _ . _ . . _ _ . _ _ _ . . _ _ _ . . . . . . ._ 1080 .0500 .0036 0001 . . . _ _ _ _ _ . . . . _ _ _ _ _ _ _ _ _ _ . . . _ _ _ . . . _ . _ . . . . .. 0810 .0292 0014 . . . . . _ . . _ _ . . _ _ _ . . _ _ . . _ . _ . _ . . _ _ . _ _ . _ . . _ _ . . _ _ _ . . .. 0540 .0151 0005 ..... _. .. __ .. _ . _ _ . _ _ . _ . _ _ _ _ _ _ . _ _ _ _ _ . . . _ _ . . . _. 0319 .0070 0001 _ . _ _ _ . _ . _ _ _ . . . . . _ _ _ _ . . . . . _ _ _ _ _ _ _ _ . . _ . . _ _ _ . . _ _ . _. 0167 .0028 _ _ _ _ _ . . . _ _ _ _ . . _ . _ _ . _ _ . . . . . . . _ _ . _ _ . . _ . . . . . _ _ . . . _ . . . . . _ _ ._ 0076 .0010 _ _ . _ _ _ _ _ . . . . . _ _ _ _ _ _ . . . . _ . _ _ . _ . _ _ _ _ _ _ _ _ _ . . . _ _ . _ _ _ _ . _ _ _ _ __ 0031 .0003 . . . . . . . _ _ _ . . _ . . _ _ _ _ _ _ . . _ _ _ _ . . _ _ _ _ _ _ _ . _ _ . _ _ _ . _ . _ . . _ _ _ _ _ .. 0011 .0001 ...... ._ __ _ _ _ . _ . _ . _ . . _ _ . . . _ . . _ _ . _ . _ . _ . . . . . . _ _ . . .. .0003 _ _ _ _ _ _ . _ _ _ _ _ . _ _ _ _ _ _ _ _ . _ . _ _ _ _ _ _ _ _ . . . . _ _ . . _ _ . _ _ _ . _ . _ _ _ . . _ . . . . . _ _ __ .0001 . _ _ . _ _ _ _ . _ _ _ . _ . . _ . _ _ _ _ _ _ _ _ . . . _ . . _ _ _ _ _ _ . . _ . _ _ _ _ _. 1.0000 II 1.0001 I 1.0000 I 1.0000 .9998 .9999 1.0000 .9999 1.0000 . . . . . . . _ . . . . . . . . _ _ . . . _ . _ _ . . _ _ . __ 0007 0093 .1045 5763 8720 . _ . _ . . . . _ _ . . . . . . _ . _ . _ . .. 0005 0056 0467 .2438 3201 1197 . . . _ . _ . . _ _ . _ . _ __ .0001 .0028 0221 1134 2763 0864 0080 . - . ...... __ .0006 .0103 0561 1782 2026 0151 0003 _ . _ . _ . . . _ . . . . _ .. .0022 .0274 1036 2037 1081 0019 ...... .. 0002 .0070 .0566 1483 1804 0447 0002 ...... .. 0006 .0174 .0944 1711 1288 0149 0002 .0021 .0361 .1303 1636 0763 0041 ______ __ 0007 .0057 .0631 .1520 1321 0381 0010 ______ __ 0021 .0132 .0947 .1520 0915 0163 0002 ...... __ 0053 .0267 .1231 .1318 0549 0061 . . . . _ _ . . . _ . . _ _ . . . . _ _ . . -. 0121 .0472 .1399 .0998 0288 0020 . . _ . _ . _ . _ _ _ . . _ _ . _ . . _ . _ __ 0243 .0734 .1399 .0665 0133 0006 _ _ . _ _ _ . . _ . . . . . . . . _ . _ _ . _ _. 0430 .1011 .1238 .0392 0054 .0001 . _ . _ _ . . _ . _ . . . _ . . . . . . . . .. 0675 .1235 .0972 .0206 0020 . . . . _ _ . . _ _ . _ . . _ . . . . . . _ . . _ _ . . . . .. 0945 .1345 .0681 0096 0006 _ _ _ . _ . . . . . _ . _ _ . _ _ _ _ _ _ _ . _ . _ _ . _ . .. 1182 .1308 .0425 0040 0002 . . . _ _ _ . _ . _ . _ _ . . . . . _ _ _ . -. 1321 .1137 .0238 0015 . . _ . _ . _ _ _ . _ . _ . . _ . . . . . _ _ . . . _ . . . . . _ . . _ . . .- 1321 .0884 .0119 0005 . . . . . . . . . _ . . . . . . . . . . . . _ . . _ _ . . . . . . . . _ . _ .. 1182 .0615 .0053 0001 . . _ . . . _ . . . . . . . . _ . . . . . . _ . . . . . . . . _ _ . . . . . .. 0945 .0383 .0021 _ _ _ _ _ _ . . . _ _ . . _ . _ . _ _ _ _ _ _ _ _ . . . _ . _ _ _ _ _ _ . _ _ . . . . . _ . ._ 0675 .0213 0008 _ . _ . . _ . _ . . . . _ _ . _ . . . . _ . _ . _ . _ _ . . . _ . _ _ . . . . . _ . . . _ _ ._ 0430 .0105 0002 - - . . . . . . . _ . . _ . . . _ . . . . . . . _ . . _ . . . . .. 0243 .0046 0001 ______ _. _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ . . _ . . . _ _ . . . . . _ _ .. 0121 .0018 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . . _ , , , _ _ _ _ _ _ . _ . _ _ _ _ _ _ _ . _ . _ _ _ _ _ _ . _ _ . _ _ . __ 0053 .0006 . _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ . . . . _ _ _ _ _ . _ . _ _ _ _ . _ . _ _ _ . . . . _ . _ . . . . . __ 0021 .0002 . _ _ _ _ _ _ _ . _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ . . _ . _ . . _ .. .0007 _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ , , , _ _ __ __ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ . _ _ _ __ .0002 _ _ . _ _ _ _ _ _ _ _ _ _ _ _ , _ _ , _ _ _ _ _ _ , _ , _ , _ ,_ 1 0000 9999 9999 I .9999 9999 1 0000 _ _ _ . . . _ . . . . _ . _ _. I .0006 0082 _ _ . _ _ _ . . . . . . . . . . . . . _ . . n 0004 .0047 0420 . . . _ . . _ _ . . . _ . . _. 0001 .0022 .0190 1051 . . . _ . . . . . . . _ . . _. 0004 .0084 .0498 1701 ______ __ 0017 .0231 .0947 2005 ...... -. 0001 0054 .0493 .1399 1833 0004 I 0139 .0849 1668 1353 0001 .0015 0299 .1213 1650 0828 0004 0041 0541 .1466 1380 0429 0014 0099 0842 .1520 0991 0191 0037 0208 1136 .1368 0617 0074 0087 0382 1343 .1078 0337 0025 0182 0620 1399 .0749 0162 0007 . . . _ . _ _ . . . _ _ . . . . . . . _ . . ._ 0336 0890 1291 .0461 0069 0002 . _ _ _ . . . . . . _ _ . _ _- I ...... .. 0552 1137 1061 .0252 0020 , _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ , _ ._ I ...... .- 0810 1297 0778 0123 0009 . .............. _- I ...... .. 1063 i324 10511 | 10054 Z0003 ...................... .. I ...... .. 20 BULLETIN NO. 463, TEXAS AGRICULTURAL EXPERIMENT STATION Table 4. Probabilities of Mendelian Ratios.—(Continued). The group of combinations at each end of each expansion is set o_ff so as to show the point beyond which the total probability in that direction 1s .0050 or less. Mendelian Ratios gggiiabri-‘ 1:1 i‘ 9:7 l‘ 2:1 l‘ 3:1 l‘ 13:3 ‘I 7:1 ‘i 15:1 ‘I 63:1 $2551 D+R I 1212 .0300 .0021 .0001 i . _ _ _ _ . _ _ _ _ _ . _ _ _ _ _ . _ _ . . . _ _ _ _ _ _ _ .. 0995 .0159 .0007 _ . . . . . _ _ _ . _ . _ _ _ . . _ _ _ _ . . . . _ _ _ . _ ._ -. 0733 .0075 0002 _ _ _ . . _ . _ . . _ . . _ _ . . . . . _ . . _ _ _ . . _ . _ . . . . . _ . .. 0485 .0032 .0001 . . . . _ _ . . . . . . . _ _ _ . . _ . . _ _ _ . . _ . _ . _ . _ . . _ . _ .. 0287 .0012 . . . _ _ _ _ _ _ . _ . _ _ . _ _ . _ . _ _ _ . _ . . _ _ _ . _ . . . _ . _ _ _ . . . . . _ .. 0152 .0004 _ _ _ _ _ _ . _ . . . . _ _ . . . . _ _ _ _ _ _ _ . . . _ _ . _ . _ _ . _ . _ . . . . . . _ _. 0072 .0001 ______ .. . . . _ _ _ . _ _ _ . . . . . . . . _ . . . _ . . . _ . . . _ . .. .0030 _ _ _ . . _ _ . _ . _ _ . _ _ _ . . . . _ _ . _ . . _ _ . . _ . _ _ _ _ . _ _ _ . _ _ _ _ . .. .0011 _ _ . . . _ _ _ _ . . _ . . . _ _ _ _ _ . . . . . _ . _ _ _ . . . _ . _ . _ __ _ . .0004 . . . _ . . _ _ _ _ . _ _ . _ _ _ _ _ . . . . . . . . _ _ . _ _ _ _ _ . . . _. .0001 _ __ _ . _ . . . . . _ . . . _ . . . _ . . . . . _ _ _ _ . . . . .. l|1.0000 I .9999 ll .9998 |1.0000 [1.0001 I .9999 I .9999 1.0000_ _ _ _ _ _ _ _ _ . _ _ . _ _ _. .0005 .0072 .0918 .5584 .8652 _ _ _ _ _ _ _ _ . _ . .0003 .0039 .0378 .2265 .3279 .1255 ...... __ .0001 .0018 .0163 .0972 .2718 _ .0937 .0089 .0003 .0069 .0440 .1620 .2114 .0174 .0004 ______ U .0013 .0194 .0863 .1967 .1198 .0023 "_1» .0001 .0042 .0428 .1314 .1854 .0527 .0002 ...... _ .0003 .0111 .0760 .1618 .1413 .0187 _ _ _ _ _ _ _ _ _ . _ _ _ _ 1 .0010 .0246 .1122 .1653 .0894 .0055 . _ _ _ . _ . _ . . _ _ . . 1 .0029 .0460 .1403 .1431 .0479 .0014 . . . . _ . _ _ . . _ . _ _ 1 .0074 .0742 .1507 .1064 .0220 .0003 ______ _ .0160 .1038 .1406 .0687 .0088 .0001 ______ 1 .0306 .1274 .1151 .0389 .0031 . _ _ _ . . . _ _ _ _ _ _ _ 1 .0516 .1380 .0831 .0195 .0010 _ _ _ _ _ _ _ _ . . . _ _ _ 1 .0772 .1327 .0533 .0086 .0003 . _ _ . _ . _ _ _ . _ _ _ _ . . _ . _ . _ _ _ 1029 .1138 .0304 0034 0001 _ _ . . _ . _ _ _ _ . . _ . . _ _ _ . _ . . 1 1227 .0872 .0156 0012 _ _ _ _ . . _ _ _ _ _ _ _ _ _ _ _ . . _ _ . . . _ . . _ . . 1 1312 .0600 .0071 0004 _ . . _ _ . _ _ _ . . _ _ . _ . _ _ . _ _ _ _ _ _ _ _ _ _ _ 1 1261 .0370 .0029 0001 . . _ _ . _ . _ . _ _ _ . _ . . _ . _ _ . . . _ _ _ _ _ , _ _ 1090 .0206 0011 _ _ . . _ . _ . . _ _ . _ . _ _ _ _ _ . _ . _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ 0847 .0103 0004 _ . . . _ . _ _ . . _ _ _ _ _ _ _ _ _ . _ _ _ _ _ . . _ . _ _ _ _ _ _ _ _ _ _ 0593 .0046 0001 . . . . . _ _ _ . . . . _ . . _ _ . . . . . _ _ _ _ _ . _ . . _ _ _ _ _ _ _ _ 0374 .0019 _ _ _ _ _ _ _ . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ . _ _ _ _ , _ _ _ . . _ _ _ _ _ _ . _ 1 0211 .0007 _ . _ . _ _ _ _ _ _ . _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ . _ _ 1 0107 .0002 _ _ _ _ . . . . _ _ _ _ _ _ _ _ _ _ _ _ . _ . . _ _ _ _ . . _ . _ _ _ _ _ _ . _ _ _ _ , _ _ fl .0049 .0001 _ _ . . . _ _ _ . _ _ . . . _ . _ . _ _ _ _ _ . _ , , , _ _ _ . _ , _ _ _ _ _ . _ _ _ _ _ _ 1 .0020 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , , _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ , , _ , H .0007 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M .0002 _ _ . . _ _ _ _ . . _ . _ _ _ _ _ _ _ , _ _ _ _ _ _ , _ _ _ _ 1 0001 ______ 1 1 . . _ _ _ _ _ _ _ _ _ . . _ __ _ 1 0001 I 1 0001 1.0001 I 9998 1 0002 . . . . _ _ _ . _ _ _ . _ _ . _ _ . . . . .. .0004 I 0063 _ _ _ _ _ . _ _ . _ _ . . . 1 .0002 .0033 0340 _ _ _ _ _ . . . . _ _ _ . . _ .0014 .0140 0898 ______ 1 0002 .0056 0388 1539 ______ 1 0009 .0163 0784 1923 0032 .0369 1230 1868 0002 0088 .0677 1561 1468 0007 0201 .1032 1647 0959 .0021 0389 .1333 1472 0531 0054 0648 .1481 1133 0253 0122 0939 .1431 0758 0105 0242 1196 .1214 0445 0038 0424 1345 .0911 0231 0012 0660 1345 .0607 0107 0003 _ _ _ _ _ _ _ _ _ , , _ _ _ _ . _ , , _ _ _ -0916 1201 -0361 0044 0001 _ _ _ _ _ _ _ _ A _ _ _ _ . _ _ _ , _ _ _ _ “ .1140 0961 .0193 0016 , , , _ _ _ _ , _ , _ _ _ _ _ , _ , _ _ _ _ _ _ _ _ _ _ _ PROBABILITY TABLES FOR MENDELIAN RATIOS 21 Table 4. Probabilities of Mendelian Ratios.—(C0ntinued). The group of combinations at each end of each expansion is set off so as to show the point beyond which the total probability in that direction is .0050 or less. Mendelian Ratios mbi- Sgtion i - 1:1 i 9 :7 i 2 :1 i 3 :1 13 :3 7 :1 15 :1 63:1 255 :1 D+R| | I I I 22 15' 0809 .1275 .0691 0092 0005 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 21 17 1047 .1283 .0447 0040 0002 _ . . _ . . . . _ _ _ _ . . . . _ _ . _ _ . . _ . . _ . _ . .- 20 18 .1222 .1164 .0261 0016 _ . _ _ _ . . _ _ _ . _ _ . _ . . . . . _ . _ . . _ . . . . . . _ . _ . _ . .- 19 19 .1286 .0953 0137 0005 . . . . . . . . - . - - - - . - . . . . . _ _ - _ . - - - - - - - - - - - - -- 18 20 .1222 .0704 0065 0002 - - _ - . . . - - - . - . . - - - » - - - - - - - - - - _ - - _ - - - - - - -- 17 21 .1047 .0470 0028 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . - . . . . . - . . . . . . . . .- 16 22 .0809 .0282 0011 . . . . . . _ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 15 23 .0563 .0153 0004 . . . . . . . . . . . . . - - - . . . - _ - - - - . - . . _ - - . . . . . . .- 14 24 .0352 .0074 0001 . . . . . . . . . . . . . . . . . . . . . . . - . . . . . . _ _ _ . . . . _ _ . _ _ . . . . ._ I 13 25 .0197 .0032 ...... .. . . . . . . . . . . . . _ . . . . . _ . . . . . . . . . . . . . . . . . . -- 12 26 .0099 0013 . . . . . . . . . _ . . _ _ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . - . _ - . . . .. 11 27 .0044 0004 _ . _ . . . . . . . _ . . . . . _ . . . . . _ _ . . . . . - - . . . . _ . . . - . - - - - - -- 10 28 .0017 0001 _ . _ . _ _ . _ . . . _ . . . . _ . _ . . . . . _ _ _ . . . . . . . . . _ . . . _ _ . _ . . _. 9 29 .0006 . _ . . . . . _ . . . . . . . . _ _ . . . . . . _ . _ . . . . . . . _ . . . . . . . . . . . . . . . . . . . -. 8 30 .0002 _ . _ . . _ . . . _ _ _ . . . _ . . _ _ . _ . . . . _ . . . . . . . . . _ _ . . . . . . . _ . . _ . . _ . _ _. 7 31 _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ . . _ _ . . _ _ _ _ _ _ . _ _ _ . _ . . _ _ _ _ _ _ _ _ _ . . . _ . _ _ . _ _ _ _ . . . . . . _ _ _ _ _._ 6 32 . _ . _ . _ . . . . . _ . _ . . . . . . . . . . . _ _ . . _ . _ . _ . . . . . . . . . _ . . _. . . . . . . . . . . . . . . ._ ' Ii 1.0002 i .9996 Ii 1.0001 I .9999 i 1.0000 1.0001 1.0002 I .9999 .9999 .7 39 0 _ _ _ _ _ _ . _ . _ _ _ . _ _ . . . _ _ . _ _ _ . . _ . _ _ __ .0003 .0055 .0807 .5411 .8584 38 1 _ _ _ . _ _ . _ _ _ . _ _ . _ _ _ _ _ _ . . .. .0002 .0027 .0305 .2098 .3350 .1313 37 2 _ _ _ _ _ _ _ _ _ _ _ _ _ . . _ . _ . . _ _ ._ .0011 .0120 .0828 .2658 .1010 .0098 36 3 _ . . . . . _ _ _ _ _ . . . _ .. .0002 .0045 .0342 .1459 .2185 .0 98 .0005 35 4 i ............... -. .0007 .0136 .0710 .1875 .1311 . 028 ...... ._ 34 5 _ . . . . _ . _ _ . . , . . ._ .0024 .0318 .1146 .1875 .0612 .0003 33 6 ...... ._ .0001 .0069 .0600 .1499 .1518 .0231 ...... .- 32 7 ...... 1 .0005 .0163 .0943 .1631 .1022 .0073 ______ .. 31 8 .0001 .0015 .0326 .1257 .1505 .0584 .0019 ...... .. - 30 9 .0004 .0040 .0562 .1444 .1196 .0287 .0004 . . . _ _ . . _ _ _ . _ _ _ .. i 29 10 .0012 .0093 .0842 .1444 .0828 .0123 .0001 . . . . _ . . . . . . . . . .. < 28 11 .0030 .0190 .1110 .1269 .0504 .0046 _ . . _ . _ _ . _ . _ _ _ _ . _ . _ . _ _ _ .. 27 12i .0071 .0345 .1295 .0987 .0271 .0015 _ _ _ _ . _ _ . _ . _ . _ . _ _ . . _ . _ _ ._ 26 13i .0148 .0557 .1345 .0683 .0130 .0005 . . _ . . _ . . . . . . . . . . _ . . _ . _ __ 25 14 .0274 .0804 .1249 0423 0056 0001 _ _ . _ _ . . . . . . . . _ _ . . _ . . . . __ 24 15 .0457 .1042 .1041 0235 0021 . . _ _ _ . . _ . _ _ . . _ . . _ . _ . _ . _ . _ _ . . _ _ _- 23 16 .0686 .1216 .0781 0117 0007 . _ . . . _ . . _ _ _ _ . . _ . _ _ _ _ _ _ _ _ _ . _ _ _ _ __ 22 17 .0928 .1280 .0528 0053 0002 _ _ _ _ . . . . . . . . _ . _ . . . _ _ _ . _ _ _ _ _ _ _ _ _- 21 18 .1134 .1216 .0323 0022 .0001 _ _ . _ _ _ _ _ . _ _ _ _ _ _ _ . _ _ . _ _ _ _ _ _ _ _ _ _ __ 20 19 .1254 .1046 .0178 0008 _ . _ . . . _ _ . . . _ _ . . . _ . _ . _ . _ _ . _ _ . . _ _ . . . _ _ _ . __ 19 20 .1254 .0813 0089 0003 _ _ _ _ . _ . . _ _ _ _ . . _ _ . . . . . _ . . _ _ _ _ _ _ _ . _ _ _ _ _ _ __ 18 21 .1134 .0572 0040 0001 _ _ _ _ _ _ _ . _ _ _ _ _ . . . . . . . _ _ . _ _ _ . _ _ _ _ _ _ _ . _ _ _ __ 17 22 .0928 .0364 0017 . _ _ _ . . _ _ _ . _ . _ . . . _ . _ _ _ _ _ _ _ _ _ . . . . _ . _ . . _ _ . . _ . . _ . . .- 16 23 .0686 .0209 0006 _ _ _ _ _ _ _ _ _ _ _ _ . . _ _ _ _ _ _ _ _ _ _ . _ . . _ _ _ _ _ _ _ _ . . _ . _ _ _ _ _ _ __ 15 24 .0457 .0109 0002 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ . . . _ _ . _ _ . . _ _ _ _ _ _ . . _ _ _ _ _ _ _ _ _ _ __ 14 25 .0274 .0051 0001 _ _ _ _ _ _ _ _ , _ _ _ _ , _ _ _ _ _ . . _ _ . , _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ __ 13 26 .0148 .0021 _ , , _ _ _ _ _ _ , , _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ , _ _ _ _ _ _ _ __ 12 27 .0071 .0008 _ _ . _ . _ . , . . _ _ _ _ _ . . . , , . _ _ _ _ . _ _ _ _ _ , _ . _ _ _ _ . _ . _ _ _ _ _ . , __ 11 28 .0030 .0003 _ _ , _ _ _ _ _ _ _ _ _ _ _ __ __ _ ______ __ 10 29 .0012 0001 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ ,_ 9 30 .0004 _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , , , _ _ _ _ _ _ _ , _ _ _, 8 31] .0001 _ _ _ _ . . _ _ _ , _ _ , _ _ _ _ _ _ _ _ _ , . _ _ , _ _ _ _ _ _ , _ _ _ _ __ 7 32i _ _ _ . . _ . _ _ _ _ , _ _ _ _ _ _ _ _ , , _ _ _ _ , _ _ _ _ _ _ _ _ _ . , __ 6 33| ...... .. i . . . . . . . . . _ . . . _ . . _ . _ . . . . . . . . . . . _- Ii .9998 i 1.0001 i 1.0000 I 1.0001 I .9999 .9998 40 0 i . . _ . . . _ . . . _ . _ _ . . _ . . _ . . . _ . . . _ _ _ __ .0002 .0048 39 1 i . . _ . . . . _ . . . _ . . . . _ . . . . _ .. 0001 .0023 .0274 38 2 i . . . . _ . . . . . . . . . ._ 0009 .0103 0763 37 3 i . . . . . . _ . _ _ _ . . _ ._ 0001 .0037 .0300 1380 36 4 I _ . . . . . . . _ . . . . _ __ 0005 0113 .0641 1823 35 5 i . ...... .. 0019 0272 .1064 1875 34 6 i ______ ._ 0001 0054 .0530 .1433 1563 33 7 i ...... .. 0003 0132 .0857 .1606 1084 32 8 I .0001 .0010 0272 1179 .1529 0639 i 31 9 0002 0029 0483 1397 .1254 0325 30 10i 0008 0069 0749 1444 .0897 0144 29 11] 0021 i .0147 i 1021 1312 .0565 0056 _ _ . _ _ _ . . _ _ _ _ _ _ _ _ . . . . . _ _. 28 12i .0051 i .0277 i 1234 1057 0315 0019 _ . _ . . . . _ . . . . . _ . . . _ . . . . .- 22 BULLETIN NO. 463, TEXAS AGRICULTURAL EXPERIMENT STATION Table 4. Probabilities of Mendelian Ratios.—-(Continued). ’ I The group of combinations at each end of each expansion is set off so as to show the - beyond which the total probability in that direction is .0050 or less. Mendelian Ratios Combi-I nation I 1 1 9.7 2.1 3:1 13 3 7 1 15:1 63 1 255:1 D+Rl l 1 27 13] 0109 0464 .1328 0759 0157 0006 . _ _ . . . _ _ . . . . . . . . . . ____ 26 14| 0211 0696 .1281 0488 0070 0002 . _ _ _ . _ _ . . _ _ _ . _ ._ -_ 25 15 0366 0938 .1110 0282 0028 . _ _ _ . . . . _ . _ . . _ _ . . _ . . . . -. _ __ 24 16| 0572 1140 .0867 0147 0010 _ _ _ _ - - - - - - - . _ - - - - - - - . - ._ _~_- - 23 171 0807 1252 .0612 0069 0003 . . . . . . . . . . . _ . _ . . . _ _ _ . _ .. ._.._.. 22 18| 1031 .1244 .0391 0029 .0001 . _ . . _ _ _ _ _ _ _ . . . . . . _ _ . _ _ -- _.._. 21 1 1194 .1120 .0227 0011 _ . . . . . . . _ . . _ _ . . . . _ _ _ . . . . . . _ _ . . -- --__. 20 20I 1254 ..0915 0119 0004 . _ _ . - - - - . . _ _ . - - - - - - - _ - - - - - - - - . -- 19 21| 1194 .0678 0057 0001 . . . . _ . . . . . . . . . . . . . . . . . . . . . . . . . _ . . . .._ 1s 22| 1031 .0455‘ 0024 . . . . _ _ . . . . . _ . . . . . . . . . _ . . _ . . _ _ . . . _ . . . . . .. -___ 17 23I 0807 .0277 0010 . _ _ _ . _ _ _ _ _ . . . . _ . . . . . . . . . . . _ _ _ . . . _ - _ _ _ _ . . ~ _ . -.. 16 24| 0572 .0153 0003 . . _ _ . _ . _ _ . . . . . . _ . _ _ . _ . . _ . _ _ . . . _ . . . _ _ . _ _ _ . _ . ..__ 15 25 0366 .0076 0001 . . . _ _ _ . . . . . _ . . . . . _ _ . . _ . _ . . _ _ . . _ . . . . _ _ _ _ _ . . . . .-.. 14 26 0211 .0034 ...... ._ __ __ . . _ . . _ _ . . _ . . . . . . . . _ _ _ _ . . . . . _ _ _ __ .. 13 27 0109 0014 _ _ _ . . _ . . _ _ . _ . _ _ . . _ . . _ _ . . . _ _ _ . . . . . . _ _ . _ . . . _ . . _ . . . . . . .._.. 12 28 .0051 0005 . . _ . . . . . _ _ . _ _ _ . . _ _ _ . . . . . . _ . . _ _ . . . _ _ . . . _ _ _ _ _ _ _ _ . . . _ _._... 11 29 .0021 .0002 . _ _ _ _ _ . _ . . . . . _ _ _ _ _ _ . _ . .. 10 30 .0008 . . _ _ . . . _ _ _ _ . _ _ _ . _ . _ _ _ _ _ . . . _ . . . _- 9 31 .0002 . . . . _ . _ . . . _ _ _ . _ . . . . _ _ . _ . . _ . . _ . ._ 8 32 .0001 _ . . _ . . _ _ . _ _ _ _ _ . _ _ _ . _ . . . _ . . . _ _ _ . _ . . . . . _ .. ._ 7 33 . . _ . _ . _ . . _ . . . _ ._ ._.-- _ _ _ _ _ _ . . _ . . . . . _ . _ . _ _ . . . . . _ _ _ _ _ . _ _ . . . . _ _ . . . . _ . _._ 6 34 . _ . . . . _ _ _ _ _ _ . . ._ . _ , . . . . . . . _ . _ . . . . , _ _ _ _ _ .. II 1.0000 I .9999 1.0000 I .9998 1.0001 1.0001 1.0002 1.0000 1.0000 - | 41 0 . _ _ _ _ . _ . _ _ . _ _ . . _ . . . _ _ _ _ . . . . . _ _ .. 0002 .0042 .0709 5243 8517 40 1 _ _ _ _ _ _ _ _ . _ . . . _ _ _ _ _ _ . _ _ __ .0001 .0019 .0245 1939 3412 .1369 39 2 _ . . _ _ _ _ _ . _ . . . . _ . . _ . . . . __ .0007 .0088 .0701 2585 1083 38 3 . _ _ _ . _ _ _ _ . _ _ _ _ _. .0001 .0030 .0263 .1303 2240 0224 0005 37 4 _ _ _ _ . . . . . _ _ _ _ _ __ .0004 .0094 .0577 .1768 1419 0034 -._ 36 5 .0014 .0233 .0985 1869 0700 0004 ....___. 35 6 0001 .0042 .0465 .1364 1602 0280 . _ . . . _ . . . . 1 . . -- 34 7 0002 .0106 .0775 .1573 1144 0093 -_-__ 33 8 0007 .0225 .1098 .1543 0695 0026 32 9 .0021 .0413 .1343 .1306 0364 0006 31 10 0052 .0660 .1432 .0964 0166 0001 _ 30 11 0113 .0930 .1345 .0627 0067 _ _ _ _ _ _ _ . . . _ . _ _ _ _ _ . _ _ _._ 29 12 0220 .1163 .1121 0362 0024 _ _ _ _ . _ . _ . _ . . . _ _ . _ _ _ _ _ _ __ 28 13 0382 .1297 .0834 0186 0008 _ _ _ _ _ _ _ _ _ _ _ _ _ . __ 27 14 0594 .1297 .0556 0086 0002 _ _ . . _ _ _ . _ . . . _ _ _. __ 26 15 0832 .1167 .0333 0036 0001 _ _ _ _ . _ . . _ _ . _ _ _ _. _ 25 16 .1052 .0948 .0181 0013 . _ . _ _ _ . _ _ _ . . _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ -_ 24 17 .1203 .0697 .0089 .0005 _ _ . _ _ _ _ _ _ _ . _ . _ _ . . _ _ _ _ _ __ 23 18 .1247 .0465 .0039 .0001 _ _ _ _ . _ . . _ _ . . _ _ _ _ . _ _ . _ _ _ _ _ _ _ _ _ _ __ 22 19 .1174 .0281 .0016 _ _ _ _ _ _ , _ , _ _ _ _ . _ . _ _ , _ _ _ __ _ 21 20 .1005 .0155 .0006 _ . . . _ _ . _ _ . _ _ . . . _ _ _ _ _ . _ . _ _ . . _ _ _ __ 20 21 .0782 .0077 0002 . . _ _ _ . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ . _ _ _ , . .. 19 22 .0553 .0035 0001 _ _ _ _ . . . . . _ . . . . _ _ _ _ _ _ . . . _ _ _ _ _ _ _ _ . _ _ _ _ _ _ __ 18 23 .0355 .0015 _ . _ _ . _ _ . _ . . . . . _ _ _ _ _ _ . . . _ . _ _ _ _ __ 1 _ _ _ _ _ _ _ . _ , _ _ _ _ __ 17 24 .0207 .0005 _ _ _ _ _ . _ _ . _ _ _ _ . _ . _ _ _ _ _ _ _ _ . _ _ , _ _ _ _ _ _ _ , , _ _ __ 16 25 .0110 .0002 . _ _ _ . _ _ _ _ . _ _ _ _ _ _ _ _ _ _ . . _ _ . _ _ _ _ _ _ _ _ _ _ , _ . _ _ _ , , _ _ _ ,, 15 26 .0052 .0001 _ _ _ _ _ _ _ . _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ . _ _ , _ , _ _ _ _ _ _ _ _ _ __ 14 27 .0023 _ _ . . . . . . _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ , , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 13 28 .0009 _ _ _ _ _ _ _ _ . _ _ . _ _ _ _ _ _ _ _ . _ __ _ ______ _, 12 29 .0003 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ , , _ _ _ _ _ _ _ _ _ _ _, 11 30 .0001 _ _ _ _ . . _ _ _ _ _ _ __ __ _ _ _ _ _ _ _ _ _ _ _ _ _ , , _ _ _ _ _ _ _ __ 10 31 _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , , _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 9 32 _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ , . _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 8 33 _ . _ _ _ . _ _ _ _ _ _ _ _ _ _ __'_ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 7 34 _ _ _______ __ I 1 0000 I 1 0000 I 1 0000 1 0001 1.0000 1 0001 9998 1 0000 9998 42 0 _ _ - . _ . . _ _ _ _ . _ . . _ _ . . _ _ _ _ __ .0002 .0037 .0665 5161 8484 41 1 ______ _. _ _ ______ __ 0001 .0016 .0220 .1862 3441 1397 40 2 . . . . . . _ _ . _ . . _ _ _ _ _ . _ . . . ._ 0005 .0075 .0644 2545 1120 0112 39 3 ------ __ 0001 .0024 .0230 .1227 2262 0237 0006 38 4 ...... __ .0003 0078 .0518 .1710 1470 0037 ______ _. 37 5 ...... .. 0011 0198 .0908 .1856 0745 0004 ...... .. 36 6 I ------ -_ 0033 0407 .1293 .1635 0306 . . _ _ . . _ . . . . _ _ _ __ PROBABILITY TABLES FOR MENDELIAN RATIOS 23 Table 4. Probabilities of Mendelian Ratios.—(Continued). The group of combinations at each end of each expansion is set off so as to show the point beyond which the total probability in that direction is .0050 or less. Mendelian Ratios Combi- I I nation 1:1 9:7 2:1 3:1 13:3 7:1 15:1 63:1 255:1 D+R I I 35 7 I ______ __ .0001 .0085 .0698 .1534 .1201 .0105 _ _ _ _ _ _ _ . _ _ . _ . . -. 34 8 ...... .. .0005 .0185 .1018 .1549 .0751 .0031 ______ __ __._.__- 33 9 .0001 .0015 .0350 .1281 .1350 .0405 .0008 ...... ._ .___.___ 32 10 .0003 .0038 .0578 .1410 .1028 .0191 .0002 ...... __ _._._.__ 31 11| .0010 .0086 .0840 .1367 .0690 .0079 . . . _ . _ . _ . . . . _ _ ._ .____.__ 30 12| .0025 .0173 .1085 .1177 .0412 .0029 _ . _ . . _ . . _ _ . . . . _ . . _ . _ _ _ _- 29 13] .0058 .0311 .1252 .0905 .0219 .0010 _ _ _ _ _ _ _ _ _ . _ . . _ _ _ _ . . _ _ _ __ 28 14I .0120 .0502 .1297 .0625 .0105 .0003 . . _ . . _ . _ _ _ . . _ _ . . _ . . . _._ 27 15 .0224 .0728 .1210 .0389 .0045 .0001 _ _ _ . . _ . . . . . _ . . _ . . . . . _ _ .. 26 16 .0379 .0956 .1021 .0219 .0018 . . . . . . . . _ . _ _ _ . . . . . _ . _ _ _ . _ . _ _ _ _ _- 25 17| 0579 1137 .0781 I 0112 I 0006 I _ . . _ _ _ . . _ . . _ _ _ . . _ _ _ _ . _ _ . . . . _ . _ ._ 24 18 0804 1228 .0542 0052 0002 . . . . _ . _ _ . . . _ _ _ . _ _ _ . _ . . _ _ _ _ _ _ . . _- 23 19 1016 .1206 .0343 0022 .0001 . . . _ _ . . _ _ . . _ _ _ -_ -...__-. ______ __ 22 20 1168 .1079 .0197 0008 _ . _ _ _ _ _ _ . _ _ . _ . . . . . . . . _ _ . . _ _ _ _ _ _. .-__ 21 21 1224 .0879 0103 0003 ______ ._ ._______ 20 22 1168 .0653 0049 0001 ______ __ 19 23 1016 .0442 0021 _ _ _ . _ _ . _ . _ . _ . . _. 18 24 0804 .0272 0008 . . _ . . _ _ _ . _ . . . . _. 17 25 0579 .0152 0003 . _ . . _ _ . . _ _ _ . _ _ . . . . . . _ . _ _ _ _ _ _ . . . . _ _ _ _ _ _ _. _ ____ __ 16 26 0379 .0077 0001 _ _ _ _ . _ . . _ _ , , . _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ __ _____-__ ______ __ 15 27 0224 .0036 _ _ _ _ _ . _ _ _ _ . . _ . . . _ . . _ . _ . . _ _ _ . _ _ _ _ . _ _ . _ . _ . _ . _ _ _ . . _ _ _ _ _ _ _ _. 14 28 .0120 0015 _ _ _ . . . . _ _ _ _ _ . . _ _ _ _ . . . _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ ______-_ 13 29 .0058 0006 . _ . _ _ . _ _ . . _ . _ _ _ _ . _ , _ _ _ . _ , _ _ _ _ _ _ _ _ _ _ _ . . _ _ _ _ _ _ _ _ __ ________ 12 30 .0025 .0002 _ _ _ _ . _ _ _ _ _ _ _ _ _ . . , , , , _ _ _ _ . _ _ . _ _ _ _ _ _ . _ . . _ _ _ _ _ _ . . . _ _ _ _ . _ _ _. 11 31 .0010 0001 _ _ _ _ _ , _ _ _ _ _ _ _ _ . _ , , , _ . _ __ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 10 32 .0003 _ _ _ , . . . _ _ , , _ _ , . _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ , _ , _ _ _ , . _ , , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 9 33 .0001 . . . . _ . . _ _ , _ _ . _ _ _ . . _ _ _ _ _ . _ . . . _ _ . _ . _ _ . _ _ _ _ _ _ _ _ _ . _ _ _ _ _ , _ _ __ 8 34 . _ _ . _ _ . _ _ . . _ . . _ _ _ _ . _ . _ _ _ _ _ . _ . . _ _ . _ , . . _ . . _ _ _ _ . , _ _ _ , , , , _ _ _ _ _ , , _ _ __ 7 35 . . . _ _ _ _ _ _ , , _ . , , _ _ _ _ _ , , _ , _ _ , _ _ , , _ _ _ _ , , , , _ , , _ , _ , , , , , , _ , , , , , , , , _ _ __ I .9998 I 1.0000 .9999 1.0000 I 1.0001 I .9999 1.0001 1.0000 .9999 43 0 _ _ _ . . . . . . . _ _ . . . . . _ _ . _ _ .. .0001 .0032 .0623 .5080 .8451 ‘42 1 . . _ . . . . _ _ _ . . _ . _ _ . . _ _ _ _ .. .0013 .0197 .1787 .3468 .1425 41 2 . _ _ . _ . . . _ . . . . _ _ . . _ _ _ . . ._ .0064 .0591 .2502 .1156 .0117 40 3 _ _ _ . . _ . . _ . _ _ _ . . . . . . . _ . .. .0201 .1155 .2280 .0251 .0006 39 4 . _ _ _ _ . . _ . _ . . . . _. .0002 .0464 .1649 .1520 .0040 ______ .. 38 5 . _ . . . _ . . . . . _ _ .. .0008 .0835 .1838 .0790 .0005 ______ .. 37 6 _ _ . . . _ . . _ . . . . _ _. .0026 .1221 .1663 .0334 _ . . _ _ _ _ . . _ . . _ _ _. 36 7 ...... .- 0001 .0067 .1489 .1256 .0118 . . . . _ _ . . . . . . _ _ .. 35 8 ...... .. .0003 .0152 .1546 .0807 .0035 _ _ _ _ _ . _ . _ _ _ _ _ _ __ 34 9 0001 .0011 0295 .1387 .0448 .0009 . _ _ _ _ . . _ _ . . . _ _ __ 33 10] 0002 .0028 0502 .1089 .0218 .0002 _ _ _ _ . . _ _ . . . _ _ _ _. 32 11I 0007 .0065 0753 .0754 .0093 _ _ _ _ . . . _ _ . _ _ _ _ _ _ _ _ _ _ _ _ __ 31 12 0017 .0135 1003 .0464 .0036 . _ _ _ _ _ _ _ _ _ _ _ _ , , _ _ , _ _ _ _ __ 30 13 .0042 .0251 1196 .0255 .0012 _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ __ 29 14 0089 .0418 1282 .0126 .0004 _ _ _ _ _ _ _ _ _ _ _ _ . _ __ ___-____ 28 15 0172 .0629 1239 .0056 .0001 . _ _ . _ _ _ _ _ _ _ _ _ _ . . _ _ _ _ . _ __ 27 16 0302 .0856 1084 .0023 . _ _ _ _ _ . . _ _ _ _ _ _ . . , _ _ _ _ _ _ _ _ . _ . _ _ __ 26 17 .0479 .1057 0861 .0008 _ _ _ _ _ _ . . _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 25 18 0692 .1188 0622 .0003 _ _ . _ _ _ . _ _ _ _ _ _ . _ . _ _ _ _ _ _ _ . , _ _ _ _ _ __ 24 19 0910 .1216 0409 .0001 . _ _ . . _ _ _ _ . _ . _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 23 20 1092 .1135 0246 . _ _ _ . _ . _ . . . _ _ _ . _ _ _ , _ . _ . . _ _ _ _ _ _ . _ _ . _ _ _ _ __ 22 21 .1196 .0967 0134 _ . _ . _ . _ . _ _ _ _ _ . . _ _ _ _ _ _ _ __ __ ____ 21 22 .1196 .0752 0067 20 23 .1092 .0534 0031 19 24 .0910 .0346 0013 18 25 .0692 .0205 0005 . . _ _ _ . _ . . _ _ _ _ _ _ _ _ , _ , _ _ __ 17 26 10479 .0110 0002 . . . . . . _ _ _ _ , _ _ . . _ , , _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ __ 16 27 .0302 .0054 0001 _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 15 28 .017 .0024 _ _ . _ _ . . . _ _ _ _ _ . . _ _ _ . _ _ _ _ _ _ . . . _ _ _ _ , _ , _ _ _ _ . _ _ . _ _ _ _ _ _ , _ _ , _ __ 14 29 .0089 0010 _ _ _ . . . . . _ _ _ _ . . _ . _ . _ . . . _ . _ _ . _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 13 30 .0042 0004 ____, _ _ _ _ _ _ . . . _ _ _ _ _ _ . _ _ _ _ _ _ _ . _ _ _ , , , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ __ 12 31 .0017 .0001 _ , _ _ _ , , . _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ , , , , . _ _ _ _ _ _ __ 11 32 .0007 _ . _ , _ , , _ _ _ _ _ _ _ _ . _ _ , _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ , _ _ _ _ _ _ _ _ __ 10 33 .0002 . . _ . _ _ _ _ _ _ _ _ _ , , _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ __ 9 34 .0001 _ . _ . _ . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ A _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ __ 8 35 . _ _ . . . . . . . _ _ _ _ _ _ _ _ , , _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 7 36 . _ . _ _ . _ _ . . . _ . _ . _ _ _ _ _ . _ . _ , _ _ _ _ , , _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ , _ _ _ _ , _ , _ , , _ _ _ , _ _ _ _ __ I 1.0002 I 1.0000 I 1.0000 I 1.0000 1.0000 1.0000 1.0000 1.0000 .9999 24 The group of combinations at each end of each expansion is set off so as to show the point Table 4. Probabilities of Mendelian Ratios.——(Continued). beyond which the total probability in that direction is .0050 or less. BULLETIN NO. 463, TEXAS AGRICULTURAL EXPERIMENT STATION Mendelian Ratios Combi- nation 1 :1 9 :7 2 :1 3 :1 13 :3 7 :1 15 :1 63 :1 255 :1 D-I-R 44 0 __,____ _______ . . _ _ _ . . . . . _ _ .._ .0001 .0028 .5001 .8418 43 1 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . . . . _ . . . _ . _ _ _ . ._ .0011 .0176 .3493 .1453 42 2 _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ .- .0003 .0054 .0542 .1192 .0122 41 3 ___ __ ______ _- .0016 .0175 .1084 .0265 .0007 40 4 _ _ _ _ _ _ _ _ _ _ _ _ . _ .. .0002 0053 .0415 1587 .0043 ___. 39 5 _ _ _ _ _ . _ _ _ , _ . _ _ __ 0006 0142 .0766 1814 0005 -..._. 38 6 . . . _ _ _ _ _ . _ . _ . _ -. 0020 0308 1148 1685 0001 --__-__ 37 7 ______ __ .0001 0053 .0558 .1438 .1306 ____ .-_. ___... 36 8 ______ __ .0002 0124 .0860 1535 .0863 .-..___- ____ .._ 35 9 ______ .. .0007 .0247 1146 1417 .0493 _._.___ ._---.__ 34 10 .0001 .0020 .0433 1337 1145 .0247 .... --_. .... ___ 33 11 .0004 .0049 .0669 1378 .0817 .0109 _. . . _ . . . . . . -._. 32 12 .0012 .0105 .0920 .1263 .0518 .0043 ...--_ ...... -- 31 13 .0030 .0200 .1132 .1036 0294 .0015 . _ _ _ _ . . .____ 30 14 .0065 0345 .1253 .0765 .0150 .0005 ___... _-___ 29 15 .0131 0537 .1253 .0510 .0069 .0001 ...... -- ..._--_. ___. 28 16 .0237 .0757 .1136 .0308 .0029 __-_-.-- . . . . _ . . . . _ . _ . . -- .._-__ 27 17 .0390 .0969 .0936 0169 .0011 . _ . . _ _ _ . _ _ _ . . _ -- _.._-_.. ._-..-. 26 18 .0585 1131 0702 0085 .0004 . _ _ _ _ _ . . _ _ _ _ -._ . . . . . _ . . _ _ . ___ 25 19 .0801 1204 0480 .0039 .0001 . _ _ . . . . . . _ . _ . _ -- __-.-._ 24 20 .1001 .1170 .0300 .0016 _ _ . . . . _ . _ . . _ _ . _ . . . _ . . _ _ . _ _ . _ . . -- -_..__ 23 21 .1144 .1040 .0171 .0006 _ _ _ _ . . . _ _ _ _ _ _ . . _ . _ _ _ . _ -- ___.__.. ___- 22 22 .1196 0846 .0090 0002 . _ . . . . . . _ . _ . _ _ _- ___.-- ___._.-_ ___. 21 23 .1144 .0629 .0043 0001 ____- . _ . . _ _ _ . . . _ _ _ _ . . . . _ . _ . _ _ . ___ 20 24 .1001 .0428 .0019 . _ _ _ _ _ _ . _ _ _ _ . . . . . _ _ . _ _ _ . . . . . . _ -- ___. 19 25 .0801 0267 0008 _ _ . _ . . _ _ _ _ . . _ . . . _ _ _ _ _ . . _ . . . . . . . _- __.--.-- .._--.“ 18 26 .0585 .0152 .0003 ______ .- _ ._ _ _ _ _ . _ . . . . _ _ . . . . . . . . . . __ -_.._. 17 27 .0390 .0079 .0001 . . . _ . _ . . . _ . _ . . . _ . _ _ _ _ _ __ ..--__.- _ . . . . . . . . . _ . ___ 16 28 .0237 .0037 _ . _ _ _ . _ _ _ _ . _ . _ . _ _ _ . . _ _ _ . _ . _ . . _ . . _ _ . _ _ _ _ . . . . . _ ._ ___-.. 15 29 .0131 .0016 . _ . _ _ . . _ . . . _ _ _ . _ . . . . . . . . _ . . . . . _ _ _ _ . _ _ _ . . . . . _ .._ ___... 14 30 0065 .0006 ______ -_ . . . . . . . _ _ . . . _ _ _. _--.___ ___... 13 31 .0030 .0002 ...... __ _ _ _ _ _ . . _ _ _ _ . _ _ . . _ . _ _ . . . . . . _ . . . . . . _ . __ 12 32 .0012 .0001 _ _ . _ _ _ _ _ . . _ _ . . . . _ _ . . . . _ . . . . . . . _ . _ _ . . _ _ _ . _ . . . _ _ . . _ . _ . _ _. 11 33 .0004 _ _ _ _ _ _ _ . . . _ . _ . _ . _ . _ . . . . . _ . . _ . . . . _ . _ . . . . _ _ _ _ . . . -_ 10 34 .0001 - . _ . . . . . . . . . . _ . . . . . . _ _ _ . . . . _ . . . . . . . . . . . -- 9 35 .............. _. . . . . . _ _ . _ _ . _ . . . . . _ _ . _ _ _- _._-._ 8 36 . _ . _ _ . . . . _ . . . . . _ . . _ . . _ . _ . _ _ . . _ _ . _ _ _ _ _ . _ _ . _ . _ _ _ . . _ _ _ . _ . . _ _ _ _ _ . _ -. .9998 1.0000 1.0001 1.0001 9998 .9999 1.0000 1.0000 45 0 . _ . . . _ . . . . _ . . . _ . . . _ . . . _. .0025 0548 .4923 .8385 44 1 ___--- ...... _- ...... __ .0158 .1644 3516 .1480 43 2 .-_- -- ______ _. .0003 .0496 .2411 1228 .0128 42 3 ...... ._ - ...... .- .0013 .1016 .2304 0279 .0007 41 4 _ _ . _ . . . _ . _ _ . _ _ __ .0001 0044 .1525 1613 0047 ...... _- 40 5 _-_-_._ ...... ._ .0005 .0120 .1786 .0882 .0006 ___.-- 39 6 ____ -_1 -_.____ .0015 .0267 1701 .0392 .0001 ...... _- 38 7 . . . . . _ . _ . . . . . . .. .0042 .0495 .1354 0146 _ . _ _ . _ . . _ . _ --_. 37 8 ....... .- .0002 .0100 .0784 .0919 .0046 ______ __ ___ 36 9 ...... __ .0005 0206 .1074 .0540 .0013 _ .... -- 35 10 .0001 .0015 .0371 .1289 .0277 .0003 -.______ 34 11 .0003 .0036 .0590 .1367 .0126 .0001 ______ _. 33 12 0008 .0080 .0836 .1291 .0051 ______ __ ___,___ 32 13 .0021 .0159 .1061 1093 .0019 . _ _ _ _ . _ _ _ _ _ _ . _ __ __ 31 14 .0047 .0282 .1213 0833 0006 _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ ___ 30 15 .0098 .0453 .1253 .0574 0002 _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ ______, 29 16 .0184 .0661 .1175 .0359 _ _ _ _ . _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ ,___ 28 17 .0314 .0876 .1002 0204 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ ________ 27 18 .0488 1060 .0780 0106 _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ __ 26 19 .0693 1172 .0554 0050 . _ _ _ _ _ _ _ _ _ A _ _ _ _ _ _ _ _ _ _ _ ._ ___ __ 25 20 .0899 1185 .0360 .0022 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ ___,___ 24 21 1073 .1097 .0214 .0009 _ _ _ , . . _ _ _ _ _ _ . . . _ _ , _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ . _ __ 23 22 1170 .0931 .0117 .0003 ...... _- , _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 22 23 1170 .0724 .0058 .0001 _ _ . _ , _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 21 24 .1073 .0516 .0027 _______ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _______ 20 25 .0899 .0337 .0011 _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ __ __ ____ _______ 19 26 .0693 .0202 0004 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ __ 18 27 .0488 .0110 0002 , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ , _ _ _ _ _ _ _ _ _ _ __ 17 28 .0314 .0055 _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _,___,,_ ______ __ __ ____ ______ __ 16 29 0184 0025 _ _ _ _ _ . . _ . _ . _ _ _ _ . . , _ _ _ . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ PROBABILITY TABLES FOR MENDELIAN RATIOS 25 Table 4. Probabilities of Mendelian Ratios.—(Continued). The group of combinations at each end of each expansion is _set off so as to show the point beyond which the total probability in that directlon is .0050 or less. Mendelian Ratios Combi- nation 1 :1 9 :7 2 :1 3 :1 13 :3 7 :1 15 :1 63 :1 255 :1 D+R 15 30 .0098 0010 . . . . . _ . . . . . . . _ _ _ . . _ _ _ . _ - - - . _ - - - - - - - - - _ - - - - - - - - - - - - - - - _ -- 14 31 .0047 .0004 ...... -. . _ _ _ _ _ _ _ . _ _ _ - - _ _ - - - - _ . - - _ _ - _ - - - - - - - - - - -_ 13 32 .0021 .0001 . . . . _ _ . . . . . . _ . . _ . . _ _ . . . . . _ _ . _ _ _ . _ _ _ . - - - - - - - - - - » _ - - - - - - -- 12 33 .0008 . . . _ . _ . . . _ _ . . . . . . . . . _ . .. .. _ _ _ _ _ _ _ . _ _ . _ - - _ . . . _ . - - - - . _ . _ . _ _. 11 34 .0003 . . . . . . . . . _ _ . . _ _ . . . . . . . . _ . . . . _ _ . _ _ _ _ . . . - - . _ . . _ _ _ - . _ _ _ - - - - _ . _ _ _ _ .- 10 35 .0001 . _ . . . . _ _ _ _ _ . _ _ . . _ _ . . . . . . . . . . . _ _ . . _ _ . _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ - _ _ - . _ _ _ . _ _. 9 36 _ . . . _ _ _ . _ . _ . _ . . _ . . . . _ _ . _ . _ . . . . . . . . . . . _ _ . . . _ . . . . _ _ _ . _ _ . _ _ . . . _ _ _ .. 8 37 _ _ _ . _ _ _ _ . . . _ _ _ _ . . . . . _ _ _ . _ _ _ _ . . . . _ . . . _ . . . _ _ _ . . _ _ . _ _ _ _ . . _ . _ _ _ _ _ _ . . . . . _ _ _ .- 9998 9998 9997 1 0001 1 0001 1 0001 1 0003 1 0000 1 0000 46 0 . . _ _ _ . _ _ _ _ _ _ . . . . _ . . _ . . . . _ . _ _ _ . . __ 0001 .0021 .0514 4846 8352 45 1 _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ . . _ _ _ _ __ . ____ ._ 0008 .0141 .1575 3538 .1507 44 2 . . . . . _ _ _ _ _ _ . . _ _ _ _ . . _ _ _ _- .0002 .0039 .0454 .2363 1264 0133 43 3 _ . . _ _ _ . . . _ . _ _ . . _ _ . _ .0010 .0133 .0951 .2310 0294 0008 42 4 ._...... ...... __ .0001 .0036 .0329 .1461 .1656 0050 ...... _. 41 5 _ _ _ _ _ _ _ . _ _ _ _ _ . .. .0003 .0101 .0638 .1753 0927 0007 ...... ._ 40 6 _ . _ . _ _ _ . _ . . _ _ _ __ .0012 .0230 .1006 .1711 0422 0001 ______ .. 39 7 . _ . _ _ _ . _ . _ . _ . _ ._ .0033 .0438 .1326 .1397 0161 . _ . . _ . _ . . _ . _ _ _ ._ 38 8 ...... ._ 0001 .0081 .0712 .1492 0973 0052 . . _ _ _ . _ . . . _ _ . _ ._ 37 9 ______ ._ .0004 .0171 .1002 .1454 0587 0015 . . _ _ _ . _ _ . _ _ _ _ _ ._ 36 10 0001 .0011 .0316 1236 1241 0310 0004 _ _ . _ _ _ _ _ . _ . . . _ .. 35 11 0002 .0027 .0517 1348 0938 0145 .0001 _ _ . _ _ _ . . . . . _ _ . .. 34 12 0006 0061 .0754 1310 0631 0060 . _ . . . . . . . . _ . _ _ _ . . _ . _ . _ _. 33 13 0014 0124 .0986 1142 0381 0023 _ _ _ _ . _ _ _ . . _ . . _ . _ . _ _ _ _ _ __ 32 14 0034 0228 .1162 0898 0207 0008 . _ . . . _ _ . _ _ _ . . . . . . _ . _ _ . ._ 31 15 0073 0378 .1240 0638 0102 0002 ______ __ 30 16 0141 0570 .1201 0412 0046 0001 ._._.... 29 17 0249 0782 .1060 0243 0019 . _ _ _ _ _ . . _ . . . . . .. 28 18 0401 0980 .0854 0130 0007 _ _ . _ _ . . . . . . . _ . -. 27 19 .0590 1123 .0629 0064 0002 . . . _ . . . . _ . . . _ . .. 26 20 0797 .1179 .0425 0029 .0001 _ . _ . . _ . . . _ . _ _ _ _ . _ . . . _ _ _ _ . . _ _ _ . ._ 25 21 0987 .1135 .0263 0012 _ _ _ _ _ . _ _ _ _ _ _ . . . . . _ . _ . _ _ _ . _ . _ . _ . _ _ . _ . _ _ __ 24 22 1121 .1004 0149 0005 _ _ _ _ . _ _ . . . . . _ . _ _ . . . _ . . _ _ _ _ . _ . . _ . _ _ . . _ . __ 23 23 1170 .0815 0078 0002 1 _ _ _ _ _ . _ _ _ _ _ _ . . _ _ _ _ _ _ _ _ _ _ . . . . _ _ _- 22 24 1121 .0607 0037 0001 _ _ . _ _ _ _ . _ _ . . _ . _ _ _ _ _ . . _ _ . . _ . _ _ _ . _ _ _ _ . _ _ ._ 21 25 0987 .0416 0016 . _ _ _ _ . _ _ . _ . _ _ _ _ . . . . _ . _ _ _ _ _ . _ . . . . . . . . _ _ . . _ _ _ . _ _ _- 20 26 0797 .0261 0007 . . . . . _ . . _ . _ _ . . . _ . . . . _ _ _ . . . . . _ _ _ . . . . . . _ _ . . . _ . _ . ._ 19 27 0590 .0150 0002 . _ . . _ _ _ . . _ _ _ _ _ . . _ _ _ _ _ _ . . . _ . . _ _ _ _ . _ . . _ . _ _ _ _ _ . _ . ._ 18 28 0401 .0079 0001 _ . . _ _ _ . _ . _ _ . _ . . _ . _ . . . _ . . _ _ . _ . _ . _ _ _ _ _ . _ . . . . . _ . . _. 17 29 0249 .0038 _ _ _ _ _ _ . . . _ _ _ _ . . _ _ _ . _ _ . . . _ _ _ _ _ _ . _ . _ _ . _ _ _ . _ _ _ _ . . .. ____._._ 16 30 0141 0017 _ _ _ _ _ . _ . . . _ _ _ _ _ _ _ _ . _ . . _ _ _ _ _ _ _ _ _ . . _ _ _ . . . _ , _ _ _ _ . _ . _ . . _ _ _ ._ 15 31 0073 0007 . _ _ _ _ . . . _ _ _ _ . . . _ _ _ . _ . _ _ . _ _ _ _ _ . _ . _ _ . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ __ 14 32 0034 0002 _ _ _ _ . _ . _ _ . _ _ _ . __ _ _ _ _ _ _ _ _ _ _ _ _ _ . . _ . _ _ , _ , _ _ _ . . _ _ _ _ _. 13 33 .0014 .0001 _ . _ _ _ . . _ _ _ , _ . _ _ _ _ . . _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ . . _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ __ 12 34 .0006 ______ _. _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ . , _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ . _ _ __ 11 35 .0002 _ _ . . _ . _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ , . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 10 36 .0001 . _ _ _ . . . . _ _ _ _ . . . . _ _ _ _ . _ . . _ , _ _ _ . . . . . _ _ _ _ . . _ _ . _ . _ _ . _ _ _ . _ . . _ _ _ _ _ _ . ._ 9 37 . . . . _ . . . _ . _ _ . . . _ _ _ _ _ _ _ _ _ _ . , , _ , __ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , __ 8 38 _ _ . _ . . _ . _ . _ _ . _ _ _ . _ _ . . . ._ _ _ _ _ . . _ _ . _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _. 1 0002 1 0000 9998 1 0001 1.0001 9998 1 0000 1 0000 1 0000 47 0 . . . . _ _ . . . _ _ _ . _ . . . _ . _ . . .- 0001 0019 . .0482 4770 8320 46 1 . . . _ . _ . . . . . _ . _ . . _ _ _ . . _ _ _ . . . . . . ._ 0006 0126 .1509 3559 1533 45 2 . _ . _ _ _ . _ _ . . . . . . . _ . _ _ . . _. .0002 0033 0415 .2314 .1299 0138 44 3 . . _ _ . . _ . . . . . . . . . _ . . . . . ._ .0008 0115 0889 .2314 0309 0008 43 4 . . _ . _ _ . . . . _ . . . .. 0001 .0030 0292 1397 .1697 0054 ...... __ 42 5 . . _ . . . . . . . _ . . _ .. 0003 .0085 0580 1717 0973 0007 ______ ._ 41 6 .. - ...... .. 0009 .0198 .0937 1717 0454 0001 ...... _. 40 7 .. ...... ._ 0026 .0386 .1266 1436 0177 . _ . . . _ _ _ _ _ _ _ . _ __ 39 8 ...... ._ 0001 0065 .0643 1461 1026 0059 . . _ _ . . _ _ _ . . . . _ .. 38 9 - . - 0003 .0141 .0929 1461 0635 0017 _ _ _ _ _ _ . . . . _ _ _ _ .. 37 10 ...... __ 0008 .0268 1177 1281 0345 0004 . _ _ _ _ . _ . _ . . _ _ . __ 36 11 0001 0020 .0450 1320 0995 0166 0001 . _ . _ _ _ . _ . _ . . _ _ _. 35 12 0004 0046 .0675 1320 0689 0071 _ _ _ . . _ _ . _ _ _ _ . _ _ . . _ _ . . . ._ 34 13 .0010 0097 0909 1184 0428 0027 ______ __ 33 14 0024 0183 1104 .0959 0240 0009 ______ ._ 32 15 0053 0312 1214 .0703 0122 0003 ...... _. 26 BULLETIN NO. 463, TEXAS AGRICULTURAL EXPERIMENT STATION Table 4. Probabilities" of Mendelian Ratios.—(Continued). The group of combinations at each end of each expansion is set off so as to show the point beyond which the total probability in that direction is .0050 or less. Mendelian Ratios 1 | ' l | l l I 8 nation - 1:1 9:7 2:1 | 3:1 13:3 7:1 15:1 63:1 255:1 - 1>+R | | a | | | | ; 31 16 .0107 .0486 .1214 .0469 .0056 .0001 _ . _ _ . . _ _ . _ . . _ _ . . _ . ..._. {_ 30 17 0195 0689 .1107 0285 0024 . . . . _ . . . . . _ . _ . . _ . . . . . . .. ._- _. .- 29 18 .0325 0893 .0923 0158 0009 _ _ _ . _ _ _ . _ . _ . _ _ . . _ _ _ _ . . .. __...__ ‘ 28 19 0496 1060 .0704 0081 0003 _ _ . _ _ _ _ . _ _ _ . . _ _ . _ _ . . . . _ . . . . . . _ .. 27 20 .0694 .1155 .0493 0038 0001 _ . _ . . . . _ _ _ _ _ . . . . . . . _ . . _. ___--_ 26 21 .0892 .1155 .0317 0016 . _ _ . . _ _ _ _ . _ . . _ . . _ . . . _ . . _ . _ _ . _ _ _ . . . _ _ . _ _. 25 22 1054 .1061 0187 0006 . _ . _ . . . _ . . . . _ . . . . . . _ _ _ . . . . . . . _ .. _..._ 24 23 1146 .0897 0102 0002 _ . . . _ _ _ . _ . . . . . . . . . . . _ _ . . . . . . _._. ..._.. 23 24 .1146 .0698 0051 0001 _ _ . . . . . . . . . . . . _ _ _ _ . . . _ . _ _ _ _ . _. .. .__. 22 25 1054 .0499 0023 _ . _ . . . . . _ . . . _ _ . . . _ . . _ _ . _ . _ _ . . . . _ . . . . . _ __ .... . 21 26 0892 .0329 0010 _ _ _ . . . . . _ _ . _ . _ . _ . . _ . . . _ . . . _ . _ _ . _ _ _ _ _ _ . ._ 20 27 0694 .0199 0004 . . . . . . . . . . . . . . . . . _ _ _ . . _ _ _ _ _ _ _ _ _ . . . . . . _ . . . . . ..._ 19 28 0496 0110 .0001 . _ . . . . . . _ _ _ . _ . . . . . . . . . . . . . _ . . . _ . . . . . _ _ _ . . _ _ . . . .. 18 29 0325 0056 _ _ _ _ _ . . . . . . . _ . . _ _ . . _ _ _ _ . _ _ . . _ . _ . . _ _ . . . . . _ . _ _ _ _ _ _ _ . . _ . . __ 17 30 0195 0026 . . . . . . _ . _ _ _ . _ _ . _ . _ _ . . . _ _ _ _ . . . _ . _ . _ _ . _ . . . _ _ _ _ . . _ . . . . . . . -- 16 31 0107 0011 . . _ . _ _ _ _ . . . . _ _ .. l _ . _ _ . . _ . _ _ . _ . _ _ . . . . . . . _ _ . _ . . . . _ _ _ . _ _ . . ._ 15 32 .0053 0004 _ _ . . _ . _ . _ _ _ _ . . _. _ __.- ...... _. 14 33 .0024 .0002 . _ _ _ _ . . . . . . _ . . _ . _ . . _ _ _ . . _ _ _ . . . __ __ _-_ 13 34 .0010 _ _ . . . . . . _ _ _ _ . . . _ _ _ _ _ . _ . _ _ . . . _ _ _ _ _ _ . . . . _. __-._ 12 35 .0004 _ _ _ _ . _ _ _ _ _ . _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ . . _ . . . _ _ __ _______ 11 36 .0001 . _ _ _ . _ _ _ . _ _ _ _ _ . _ _ _ _ _ _ _ . _ _ _ . _ . _ _ _ . _ _ _ . . . _ _ _ _ _ _ _ __ 10 37 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ »~ 9 38 . _ . . . _ _ _ . . _ . . . _ . _ _ _ . . _ . _ . , . . 1 _ . . . . . . _ _ _ _ _ _ . .. '1 l 1.0002 l 1.0000 I 1.0001 l 1.0000 l 1.0000 l 9999 .9999 48 0 . _ _ _ . _ _ _ _ . . . _ . . . . . _ . . . _ . . . . . _ . _ _ . _ _ . . . .- .0016 .8287 47 1 _ _ _ _ _ . _ _ _ . . _ _ _ . . . . _ _ _ . _ _ . . . . _ _ .. 0005 .0113 .1560 46 2 _ _ _ _ _ _ . . _ _ _ _ _ _ . _ . . . . _ _ ._ 0001 .0028 0379 .0144 45 3 . _ _ _ _ . _ _ . _ _ _ _ _ . . _ . _ _ . _ _. 0006 .0100 0830 .0009 44 4 _ _ . . _ _ _ _ _ . _ . _ _ . _ . . _ . _ _ ._ 0024 .0259 1334 43 5 _ _ _ . _ . _ _ _ . . . _ _ .. 0002 0071 .0526 1677 42 6 . _ _ _ . _ _ _ _ . . _ _ _ _. 0007 0170 .0870 1717 41 7 _ _ _ _ _ _ . . _ . _ . _ _ .. 0020 0339 1205 1471 40 8 ...... __ 0001 0052 .0579 1425 1077 39 9 ...... __ 0002 0116 .0858 1461 0684 - 38 10 ...... ._ .0005 .0225 1115 1315 0381 __ _,. 37 11 .0001 .0014 .0389 1284 1048 0188 ______ __ '- 36 12 0002 .0035 .0600 1320 0746 0083 . . . . _ . _ _ . . . . _ _ _ _ _ _ _ _ _ . __ f7 35 13 0007 .0075 .0831 1218 0477 0033 _ _ _ _ . _ . _ _ . _ . _ _ . . _ _ _ _ _ _ _. *‘“ 34 14 0017 .0145 .1039 1015 0275 0012 , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ , _ __ f 33 15 0039 .0256 .1177 0767 0144 0004 . . _ _ _ _ _ . _ _ _ , _ _ _ _ _ . _ _ _ _ __ 32 16 0080 .0410 .1214 0527 0068 0001 _ . _ _ _ _ _ _ _ , , _ _ . _ . _ _ _ . , _ __ 31 17 0151 .0600 1143 0331 0030 _ _ . _ _ . . . _ _ _ _ . _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 30 18 0260 .0804 0984 0190 0012 _ _ . _ _ _ . _ . . _ . _ , _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ __ 29 19 0410 .0987 0777 0100 0004 . . . _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ . . _ _ _ _ _ _ , _ __ 28 20 0595 .1113 0563 0048 0001 _ _ _ _ . . . . . . . . . . . . . _ _ . _ _ _ _ _ _ _ _ _ _ __ 27 21 .0793 .1155 0376 0021 - . . . . . . . . . _ . _ _ _ . _ _ _ _ _ _ _ . _ _ _ _ _ _ _ __ 26 22 0973 .1102 0230 0009 _ _ _ . . . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ . _ _ _ _ _ _ __ 25 23 .1100 .0969 0130 0003 . _ _ _ . . . _ , _ _ _ _ _ . _ _ _ _ _ . . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 24 24 .1146 .0785 0068 0001 _ _ _ , _ _ _ _ . _ . _ _ _ _ _ _ , _ . _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ __ 23 25 1100 .0586 0033 . . . _ . . . _ _ _ . _ _ , _ _ _ , . , _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___ 22 26 0973 .0403 0014 . _ . _ . _ _ _ _ _ _ _ _ . . . _ , _ _ _ . _ _ _ . . _ _ _ _ _ _ _ _ _ _ _ ,_ 21 27 .0793 .0256 0006 , _ _ , _ _ . _ , _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ , _ _ _ _ __ 20 28 .0595 .0149 0002 _ _ _ _ . . . _ _ _ _ _ _ _ . _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 19 29 .0410 .0080 0001 . _ . . _ , _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ __ 18 30 .0260 .0039 . _ _ _ . _ . _ _ _ _ . _ _ _ _ _ _ _ _ . _ , _ _ _ _ _ _ _ , ,_ __ 17 31 .0151 0018 _ . _ . . . _ _ , , _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ , _ _ _ _ _ > _ _ __ 16 32 .0080 0007 _ _ _ , _ _ _ _ _ _ _ , , _ _ _ _ _ , _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ __ 15 33 .0039 .0003 ______ __ __ _ , _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ __ 14 34 .0017 .0001 _ _ _ _ , _ _ _ _ _ , _ _ , _ _ _ _ , , , _ , , _ _ , , _ _ _ _ _ _ _ _ __ 13 35 .0007 _ _ _ . _ _ _ . , _ _ _ , _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 12 36 .0002 _ _ , _ _ _ , _ _ _ , _ _ _ _ _ _ _ _ _ , , _ , _ _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 11 37 .0001 _ _ , _ _ _ _ _ _ , _ _ _ _ _ , , _ , _ , , , , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ 10 38 _ _ _ _ _ . _ . . . _ _ _ _ _ . . . _ . . . . . . . . . _ _ . . _ _ . _ _ . ._ , _ _ _ _ . , . _ _ _ _ , _ _ , _ _ _ , , _ , _ _ _ _ _ _ ___ 9 39 _ _ . _ . . _ _ _ _ _ _ _ _ _ . _ , _ , , , __ ,, ,,,,,, W , ______ __ l 1.0002 l 1.0000 .9999 .9997 .9999 1.0000 1.0000 l 1.0001 1.0000 49 0 - - - - - - - - - - - - - - -- l - _ - _ . . _ _ . _ _ _ . _ ._ . .0014 .0423 .4622 .8255 43 1 l - » - - - - » _ - » . _ _ . _ - - » » . _ _ » . ...... ._ .0004 .0101 .1383 .3595 .1586 Table 4. PROBABILITY TABLES FOR MENDELIAN RATIOS Probabilities of Mendelian Ratios.—(Continued). The group of combinations at each end of each expansion is set off so as to show the point beyond which the total probability in that direction is .0050 or 1 27 Mendelian Ratios ‘ -...,’w..1,.q,.. .‘.._....,_..., . I...’ v M. ._.!‘ ‘ . Y. v w . 9:7 2:1 3:1 f 13:3 ’ 7:1 _ , _ _ , _ _ . . . . . . . __ .0001 .0024 .0346 _ _ _ _ . _ _ _ . _ _ _ . . ._ .0005 .0086 .0774 _ _ _ _ _ . _ . . . _ _ . . ._ 0020 .0229 .1271 ______ _. .0001 0059 .0476 .1634 ______ _- .0005 0145 .0806 .1712 ______ _. .0016 0297 .1142 1502 ...... _. .0041 0519 .1383 .1127 .0001 0094 0788 .1454 .0733 .0004 .0189 1051 .1342 .0419 .0010 .0335 1242 .1098 .0212 .0026 .0530 1311 .0803 .0096 .0057 .0754 1244 .0527 .0039 .0114 0970 1066 .0313 .0014 .0207 1131 0829 .0168 .0005 .0342 1202 0587 .0083 .0001 .0517 1166 0380 .0037 . _ _ _ . . _ . _ _ _ _ . _ __ ______ .0715 .1037 0225 .0015 .... ___ ________ .0907 .0846 .0123 .0006 . . . . . . _ _ _ _ _ _ _ _ __ 1058 .0634 0061 .0002 __ __ _ . . . . _ . _ . , _ _ _ _ _ __ 1137 .0438 .0028 .0001 . _ _ . . . _ . _ _ _ _ .. ___ 1125 .0279 .0012 . . . . . . . _ . . . . _ . _ . . . _ _ . _ . . _ _ _ _ _ _ __ 1027 .0164 .0005 ______ _. _ _ . . . . _ . _ _ _ _ _ _ __ 0866 .0089 .0002 . . _ _ . . _ . . . . . ___ ______ __ _ .0673 .0044 .0001 . . _ _ . _ _ _ _ _ _ _ . . _ . _ _ . . . _ _ _ _ _ _ _,_ .0483 .0020 . . _ _ _ . . _ . . _ . . . . _ . . _ . _ _ _ _ . _ _ _ . . . . _ _ _ _ _ _ __ 0320 .0009 . _ _ . _ . . . _ _ _ _ _ . _ . . _ _ _ . _ . _ . _ _ . _ _ . . _ _ _ ___ 0196 .0003 ...... _. ______ . ______ __ ____-_ ______ .0110 .0001 . . . _ . . _ . . . _ _ _ . _ . . . . _ _ _ . _ . . . . _ _ _ _ _ _ _ _ _ _ __ .0057 . _ _ _ . . . _ _ _ . . _ . _ _ _ _ . . _ _ _ . . _ _ _ _ _ _ _ _ . _ _ _ _ __ ________ .0027 . _ . _ . _ _ . . . _ . _ _ _ . . _ . _ _ . _ . _ _ _ _ _ _ _ . _ _ . _ _ _ _. .0012 . . . . . . _ . _ _ . _ . . . . _ . . _ . _ _ _ _ _ _ _ _ _ .. _ ____ __ ________ .0005 . _ . _ . . . . . . . . _ . _ . _ . _ _ _ . -- -- _-___ __-____ ____ .0002 . . _ _ _ _ . . . . . . . . .. __ __ _ ___-__.. _______ ________ .0001 ...... _. ______ __ 9999 9998 1 0001 .9999 1.0000 1.0000 .9999 - - _ _ _ _ . - _ _ . _ - _ . _ _ - . . _ _ _ _ . _ _ _ . _ _. .0013 .0397 .8223 . _ . . . . _ . . . _ _ . . _ . . . . . _ _. .0004 .0090 .1323 .1612 ...... .. _ 0001 .0020 .0315 .2160 .0155 . . . . . . . _ . . _ . . . .. 0004 .0075 .0720 .2304 .0010 _ _ . . . . . . - _ . . _ ._ 0016 .0202 1209 .1805 ...... ._ .0001 0049 .0430 .1589 .1107 ___ ...... _. .0004 0123 .0744 .1702 .0554 ._. ...... .. .0012 .0259 .1079 .1528 .0232 _______. ...... .. .0033 0463 .1338 .1174 .0083 .-_--_.- .0001 .0077 0721 .1441 .0782 .0026 ...... .- .0003 .0157 0985 .1363 .0458 .0007 .0008 .0286 1194 .1144 .0238 .0002 ______ __ .0019 .0465 1294 .0858 .0111 ___- -_- ____ _ .0043 .0679 1261 .0579 .0046 _ .0089 .0898 1110 .0353 .0017 _ . . . _ _ _ . _ _ _ _ _ _ __ .0167 .1077 .0888 .0196 .0006 _ _ _ _ _ . . _ _ _ _ _ _ _ __ .0283 .1178 0648 .0099 .0002 ________ ________ .0441 .117 8 0432 .0046 .0001 ______ __ .0628 .1080 .0264 .0019 _ ____ __ ___" ______ .0823 .0910 .0148 .0007 . _ . _ _ _ _ _ _ _ _ , _ _ __ .0992 .0705 .0077 .0003 _ _ _ _ . . . . _ _ _ _ _ _ _ _ _ , _ _ _ _ __ .1102 .0504 0036 .0001 .............. .. ______ .1130 .0332 .0016 ...... .. ____ ______ .1070 .0202 .0006 _____________ _- _____ .0936 .0114 .0002 _ . _ _ . _ _ _ _ _ _ _ _ __ __ ___, .0757 .0059 0001 ___. ___ ____ .0566 .0028 _ . _ _ . _ _ . _ . _ _ _ _ _ _ _ . _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ .0392 .0013 _ . . . . . . . _ _ . . _ _ . _ _ . . . _ _ _ _ _ _ _ _ _ _ __ 28 BULLETIN NO. 463, TEXAS AGRICULTURAL EXPERIMENT STATION Table 4. Probabilities of Mendelian Ratios.—(Continued). The group of combinations at each end of each expansion is set o_ff so as to show the p0 beyond which the total probability in that direction 1s .0050 0r less. . Mendelian Ratios nation 1 :1 9 :7 2 :1 3 :1 13 :3 7 :1 15 :1 63 :1 255:1 14 36 .0008 _ _ _ _ _ . _ . _ _ . _ _ _ _ _ . . . . . _ _ . . . . . _ . _ . . _ _ _ _ _ _ . _ . 1 . . _ . . - _ - - . _ _ _ _ _ _ _ _._ 13 37 .0003 _ _ _ _ _ _ . _ _ _ _ _ . _ _. . . . . . . . . _ _ . . _ _ . . . . . 1 _ . _ __ -._. 12 38 .0001 _ _ _ _ . . _ . _ _ _ _ _ . . . _ _ _ _ _ _ _ _ . . _ . . . . _ _ _ . . _ . _ _ . . _ . 1 . . _ . 1 _ _ _ . .. 11 39 , , , _ _ , _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , _ _ _ . . . . _ . _ _ ._ 10 40 _ . , _ _ _ . . . , _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ . _ . . .. .9999 .9999 1.9999 _.9999 1.9991 H9999 |1.9999 11.9999 Table 5. Limits of Variation of Mendelian Ratios Any values outside the limits are extremely unlikely, i. e., .0050 or less in upper a,’ lower directions respectively. The numbers represent the number of recessives possi, within the limits. This table gives the ratios which were not completed in Table 4, w' their values from n:—.50 up to the point where the probability of n dominants +0 recessi is less than .0001. Mendelian Ratios 7 :1 15 :1 a 63 :1 255 :1 No. re- 1 n cessives n No. _ re- n No. _ re- n No. _re- cessives cessives cessives. 1-13 o-s 50-70 \ 0-4 50-87 J 0~2 1-14 0-9 71-100 0-5 88-173 0-3 2-14 0-10 101-132 0-6 174-278 0-4 2-15 0-11 133-166 0-7 279-395 0-5 2-16 1-12 167-203 0-8 396—525 0-6 3-17 1 ~13 204-241 0-9 526-661 0-7 ______ ._ 1-14 242-280 0-10 662-806 0-8 ______ .. 1-15 281-320 0-11 807-955 0-9 ...... __ 2-15 321-335 0-12 956-1113 0-10 ______ __ 2-16 336-360 1-12 1114-1274 0-11 ______ __ 2-17 361-402 1-13 1275-1356 0-12 ______ __ 3-17 403-444 1-14 1357-1430 1-12 ______ ._ 3-18 445-471 1-15 1431-1599 1-13 . _ _ _ . _ . _ . _ 472-489 2-15‘ 1600-1769 1-14 ...... .- 490-532 2-16 1770-1896 1-1E ...... ._ 533-578 2-17 1897-1946 2-15 ...... _. 579-589 2-18 1947-2120 2-16 _- 590-622 3-18 2121-2298 2-17 . . _ . _ _ _ . _ _ . . . _ __ 623-629 3-19 2299-2369 2-18 _ _ . . . _ . . . . _ _ _ _ _ . . . _ _ . _ _ _ . . 9 _ . . . . . . . . .. 2370-2479 3-18 - - - _ _ - - - _ _ _ _ . . _ . _ _ _ . _ . . . . . _ _ _ _ . . . . . . ._ 2480-2531 3-19