Exam 16: Chi-Square Tests: Goodness-of-Fit and Independence

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A chi-square goodness-of-fit test with five levels of a categorical variable will have four degrees of freedom.

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Which of the following is a key assumption for a chi-square goodness-of-fit test?

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The larger the value of the chi-square test statistic,the more likely the discrepancy between observed and expected frequencies was due to chance or error.

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A researcher computes a 2 ×\times 4 chi-square test for independence.What are the degrees of freedom for this test?

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A researcher computes a 3 ×\times 5 chi-square test for independence.What are the degrees of freedom for this test?

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The observed frequencies can be summarized,

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As a general rule,the larger the degrees of freedom for a chi-square test,

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A researcher computes a 2 ×\times 3 chi-square test for independence.What is the critical value for this test at a .05 level of significance?

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A key assumption for a chi-square goodness-of-fit test is that observed frequencies are independently recorded in each cell.

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What is the key assumption for a chi-square goodness-of-fit test?

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Which of the following is recorded using a chi-square goodness-of-fit test and a chi-square test for independence?

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The phi coefficient can be used to estimate the effect size of a 2 ×\times 2 chi-square test for independence.

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A researcher computes a 4 ×\times 6 chi-square test for independence with a sample of 120 participants,with  A researcher computes a 4  \times  6 chi-square test for independence with a sample of 120 participants,with   = 14.79.What is the effect size for this result? = 14.79.What is the effect size for this result?

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To interpret a chi-square goodness-of-fit test,we compare observed and expected frequencies at each level of the categorical variable,and not across the levels of the categorical variable.

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To summarize the chi-square test,report the test statistic,the degrees of freedom,and the p value.

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For a 2 ×\times 2 chi-square test for independence,the value of a phi coefficient will equal the value of Cramer's V for a given data set.

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A researcher computes a 2 ×\times 2 chi-square test for independence.What is the critical value for this test at a .05 level of significance?

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A researcher conducts two chi-square tests.The 2 ×\times 2 chi-square was χ\chi 2 = 3.82.The 2 ×\times 3 chi-square was χ\chi 2 = 5.02.Which chi-square test resulted in a decision to reject the null hypothesis at a .05 level of significance?

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Which of the following is an example of a nonparametric test?

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A researcher compares the frequency of participants who sleep primarily on their stomach,back,or side during the night.What is the critical value for a chi-square goodness-of-fit test at a .05 level of significance?

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