11.2 The Chi-Square Test for Goodness-of-Fit

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Last updated 2:09 PM on 3/13/25
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6 Terms

1
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chi-square statistic

can be used to test whether the observed counts match the counts we expect according to some model - equation is ฯ‡2 =
โˆ‘all cells (Obs-Exp)2 / Exp

2
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chi-square component

the components of a chi-square calculation are (Obs-Exp)2 / Exp, found for each cell of the table

3
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expected counts

the distribution of counts into groups as would be expected if they were distributed completely perfectly

4
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cell

one element of a table, which corresponds to a specific row and column - table cells can hold counts, percentages, measurements on other variables, or several values

5
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goodness-of-fit

an idea for testing whether a group of counts is distributed in a way that is expected or not

6
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chi-square model

these are skewed to the right, and parameterized by their degrees of freedom, becoming less skewed with increasing degrees of freedom

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