Short Formulas

X2 Tests For F Data

F2 Data

Homework Assignment #4 Questions

Homework Assignment #4 Answers

X2 Tests For F2 Data

Test

Ho:9:3:3:1 ratio overall w/3 df
Ho:3:1 ratio for A locus w/1df
Ho:3:1 ratio for B locus w/1df
Ho:A and B are independent w/1df
Ho:homogeneity X for each X above

Example: F test for linkage

Family A_B_ A_bb aaB_ aabb Total
1 47 8 11 9 75
2 75 14 14 11 114
   3      65     13    12    11    101 
Totals 187 35 37 31 290

For totals: Ho:9:3:3:1

X = (a + a - 3a - 3a)
                   3n

     = [187 + 35 -3(37) - 3(31)]
                    3(290)

     = 324 = 0.372 w/1df accept Ho:3:1
        870

X = (a - 3a + a - 3a)
                   3n

     = (187 - 105 + 37 - 93)
                   870

     = 676 = 0.777 w/1df accept Ho:3:1
        870

X2L = (a1 - 3a2 - 3a3 + 9a4)
                   9n

     = (187 - 105 - 111 + 279)
                    2610

     = 62500 = 23.946 w/1df reject Ho: independence
        2610                                      between loci

Copyright 2000©, Ted Helms

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