2.51 Calculation of Chi-square test for a 2 by 2, 3 by 3 or 2 by 3 table

In all cells with initial values you can put data, leave the zeros in the empty fields

The number of degrees of freedom for the Chi-square is equal to 1, 4 and 2 for the three possible combinations 2 by 2, 3 by 3 or 2 by 3 table.

Set digit for print ->

- Put your observed numbers and click the Calculate button.


Examples:
Use the program to the test for genetic disequilibrium between two loci A and B. The number of observed gametes is as follows:
AB gametes 10 
Ab gametes 20 
aB gametes 20 
ab gametes 10 

The numbers are given in the initial values of the program. Factor 1 is corresponding to locus A and Factor 2 is corresponding to locus B. Press the Calculate button to see the result.
The Chi-square are equal to 6.66 (df=1) which is larger then 3.84, this means that there is less than 5% chance that the genes at the two loci segregate independently.


Questions:
Calculate a Chi-square test for the association shown below.

     Genotype   Observed numbers  
                Diseased  Healthy
        AA        15        27
        Aa        16        28
        aa        51        49

Is there statistically significant association between genotype and disease frequency ?
The two dominant genotypes can be merged into one with the following results:

     Genotype   Observed numbers  
                Diseased  Healthy
        A-        31        55
        aa        51        49

What can justify to merge the to classes into one? Is there now statistically significant association between genotype and disease frequency ?

In a two gene system you have the following set of observed numbers:

     Genotype     BB        Bb       bb 
              ----------------------------
        AA    |    57       140       101
        Aa    |    39       224       226
        aa    |    3        54        156

Are there statistically significant association between the segregating genes at the to loci ?
In case there is found association, what does this mean ?
Can you propose a chi-square test which give 6 degrees of freedom to test a hypothesis of linkage between the genes A and B ?


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