Short Formulas

X2 Tests For F Data

F2 Data

Homework Assignment #5Questions

 

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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 X2 for each X2 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

xT2 =
16(a12 + 3a22 + 3a23 + 9a4)2 - n  
9n    
   
=
16[(187)2 + [3(35)2] + [3(37)2] + [9(31)2] - 290
9(290)
   
=
16(34969 + 3675 + 4107 + 8649) - 290
2610
 
   
=
 25.095 w/3df reject Ho:9:3:3:1
 

X2A =
(a1 + a2 - 3a3 - 3a4)2
3n

=
[187 + 35 -3(37) - 3(31)]2
3(290)
               
=
324
= 0.372 w/1df accept Ho:3:1
870

X2B =
(a1 - 3a2 + a3 - 3a4)2
3n

=
(187 - 105 + 37 - 93)2
870

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

X2L =
(a1 - 3a2 - 3a3 + 9a4)2
9n

=
(187 - 105 - 111 + 279)2
2610

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

Copyright 2000©, Ted Helms

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