Deviations from 1:1 and numbers of progeny necessary for establishing linkage

D.D. Perkins, Department of Biological Sciences, Stanford University, Stanford CA 94305-5020.

We have found the following table useful when assigning new genes to linkage groups, either with Parental:Recombinant random isolates or with Parental ditype:Nonparental ditype tetrads. The ratios for total numbers through 50 are from Perkins, D.D. 1953 Genetics 38:187-197, and were extracted from tables in Warwick, B.L. Texas Agric. Exper. Sta. Bull. 463:1-28. The ratios for total numbers from 51-100 were obtained using binomial probability paper (Mosteller, F., and J.W. Tukey. J. Amer. Stat. Assoc. 44:174-212).

Smallest numerical ratios showing significant deviation in one direction from 1 : 1

Total            Ratios
numbers 5%     2.5%     1% 
5       5:0                    
6       6:0    6:0               
7       7:0    7:0     7:0          
8       7:1    8:0     8:0          
9       8:1    8:1     9:0          
10      9:1    9:1    10:0         
11      9:2   10:1    10:1         
12     10:2   10:2    11:1         
13     10:3   11:2    12:1         
14     11:3   12:2    12:2         
15     12:3   12:3    13:2         
16     12:4   13:3    14:2         
17     13:4   13:4    14:3         
18     13:5   14:4    15:3         
19     14:5   15:4    15:4         
20     15:5   15:5    16:4         
21     15:6   16:5    17:4         
22     16:6   17:5    17:1         
23     16:7   17:6    18:5         
24     17:7   18:6    19:5         
25     18:7   18:7    19:1         
Total            Ratios
numbers 5%     2.5%     1% 
26     18:8   19:7    20:6         
27     19:8   20:7    20:7         
28     19:9   20:8    21:7         
29     20:9   21:8    22:7 
30     20:10  21:9    22:1 
31     21:10  22:9    23:8 
32     22:10  22:10   23:9 
33     22:11  23:10   24:9 
34     23:11  24:10   25:9 
35     23:12  24:11   25:10
36     24:12  25:11   26:10
37     24:13  25:12   26:11
38     25:13  26:12   27:11
39     26:13  27:12   28:11
40     26:14  27:13   28:12
41     27:14  28:13   29:12
42     27:15  28:14   29:13
43     28:15  29:14   30:13
44     28:16  29:15   31:13
45     29:16  30:15   31:14   
Total            Ratios
numbers 5%     2.5%     1% 
46     30:16  31:15   32:14
47     30:17  31:16   32:15
48     31:17  32:16   33:15
49     31:18  32:17   34:15
50     32:18  33:17   34:16
51     33:18        
52     33:19             
53     34:19   
54     34:20   
55     35:20   
56     35:21   
57     36:21   
58     36:22   
59     37:22   
60     38:22   
61     39:22   
62     39:23   
63     39:24   
64     40:24   
Total  Ratios
numbers 5%    
65     40:25   
66     41:25   
67     41:26   
68     42:26   
69     43:26   
70     43:27   
71     44:27   
72     44:28   
73     45:28   
74     45:29   
75     46:29   
76     46:30   
77     47:30
78     47:31
79     48:31
80     49:31
81     49:32
82     50:32
83     50:33
84     51:33
85     51:34
86     52:34
87     52:35
88     53:35
89     54:35
90     54:61
91     55:61
92     55:37
93     56:37
94     56:38
95     57:38
96     57:39
97     58:39
98     58:40
99     59:40
100    59:41

Numerical ratios are those attaining the one-sided significance level shown in percent.