Term
| Chi-square test for independence |
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Definition
| Used to to determine whether there is an association between a row variable and a column variable in the contingency table constructed from sample data |
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Term
| If two events E and F are independent, then P(E and F) = |
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Definition
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Term
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Definition
| (row total)(column total)/table total |
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Term
| Test statistic for the test of independence, X^2 = |
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Definition
Summation[(Oi-Ei)^2/Ei]
where Oi = observed number of counts
Ei = expected number of counts |
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Term
| 2 assumptions for test statistic for the test of independence |
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Definition
1. All expected frequencies are greater than or equal to 1
2. No more than 20% of the expected frequencies are less than 5 |
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Term
| All hypothesis tests for chi-square tests for independence are |
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Definition
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Term
Right-tailed test, chi-square test for independence
H0:
H1: |
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Definition
H0: The row variable and the column variable are independent
H1: The row variable and the column variable are dependent |
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Term
Chi-square test for independence, classical approach
X0^2 > Xalpha^2 |
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Definition
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Term
Chi-square test for independence, classical approach
X0^2 < Xalpha^2 |
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Definition
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Term
Chi-square test for independence, p-value approach
P-value < alpha |
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Definition
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Term
Chi-square test for independence, p-value approach
P-value > alpha |
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Definition
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Term
| Chi-square test for homogeneity of proportions |
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Definition
| Testing whether different populations have the same proportion of individuals with some characteristic |
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Term
| Chi-square test for homogeneity of proportions is identical to |
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Definition
| The chi-square test for independence |
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Term
Right-tailed test, chi-square test for homogeneity of proportions
H0:
H1: |
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Definition
H0: p1=p2=p3
H1: At least one of the population proportions is different from the others |
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