STAT 205 Lecture Notes - Lecture 29: Dependent And Independent Variables

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A chi squared test is used to compare two or more populations with two or more response possibilities. It is a measure of how much the observed values in a two way table diverge from the expected values. An rxc table has r rows and c columns. The explanatory variable (the one which might affect the other) is the column variable. Because it is a 2x2 table you could just as easily use a 2-proportion test to analyze the data. The row and column labeled total do not count. There are more than 2 columns and rows which means you must use a chi-squared test as you cannot use a p-proportion test. Formulas where i = 1,2,,r and j = 1,2,,c (cid:4666) (cid:4667)2 where the sum includes all cells in the rxc . A chi squared test is an upper tailed test, like anova.

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