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Unformatted text preview: How is the Chi-Square Test Statistic Calculated? What follows is the math behind calculating the chi-square test statistic for a test of independence between two categorical variables. The example used is that for testing whether Gender is independent of type of high school attended (public or private). The sample data is (the numbers reflect the counts). Public Private Total Female 38 7 45 Male 46 9 55 Total 84 16 100 The basic premise of the test of independence is to see if the distribution of the percentages is the same for each level of category. That is, is the percentage of males attending public schools close enough to that percentage for females attending public schools? We do this by comparing what we observe (i.e. the data in the table which is the sample data) to what we would expect to see in our sample if there was no relationship, i.e. the variables were independent....
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- Spring '11
- Chi-Square Test