Setting Up a Chi-Square Test for Homogeneity or Independence

AP Statistics· difficulty 3/5

Two categorical variables are independent if all conditional distributions of one variable across levels of the other are equal.

Independence vs Association Independent: conditional dist's equal Associated: conditional dist's differ Which sign indicates an association?

Which sign indicates that two categorical variables are NOT independent?

  • A

    Equal column totals

  • B

    Equal row totals

  • C

    A grand total of 100

  • D

    Different conditional distributions across rows

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Explanation

Differences in conditional distributions reveal an association between the categorical variables.

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