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CHI-SQUARE TEST OF INDEPENDENCE
What Is the Purpose? What Are the Assumptions? How Does it Work?
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What is the Purpose? Test whether two nominal variables are related.
Use for a design in which individuals categorized in two ways. Null hypothesis is that the two variables are unrelated.
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What are the Assumptions?
Mutually exclusive groups Expected frequencies at least 5 per cell
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How Does it Work? Determine the frequencies you expect if the Ho is true. These expected frequencies are based on the Ho: the frequency distribution for one variable is not different for different levels of the other variable.
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How Does it Work? Compare the observed frequencies to the Ho expected frequencies. Large differences between observed and expected give a large value of chi-square, likely to be significant.
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