A chi-square independence test is to be conducted to decide whether an association exists between two variables of a populations. One variable has 4 possible values and the other variable has 6. What are the degrees of freedom for the 𝜒2 -statistic?
answer:
Let the variable with 4 possible values be on the columns side and the variable with 6 possible values be on the rows side. We need to determine the number of rows and the number of columns as follows.
Number of columns=4
Number of rows =6
The formula to determine the number of degrees of freedom is, "df=(r-1)*(c-1)", where "r" is the number of rows and "c" is the number of columns. Therefore, the value of degrees of freedom is, "df=(6-1)*(4-1)=5*3=15"
Thus degrees of freedom, df=15.
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