Exam 16: Inference About Correlation Coefficients

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The The    transformation yields values of       for corresponding values of r which are transformation yields values of The    transformation yields values of       for corresponding values of r which are for corresponding values of r which are

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A

When n is very large, we may find that

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The problem that makes the inference about correlation coefficients somewhat less straightforward than inference about means is that the sampling distribution of r

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C

You read in a review article: "Milhous (1979) found a significant positive correlation between peer ratings of self-confidence and scores on the Milhous Self Confidence Scale for a large sample of college sorority members." (a)How might such a statement be misinterpreted by the statistically unsophisticated reader (b)What does the statement really mean? Be precise in your answer. Use appropriate symbols and statistical terminology (c)What single piece of additional information would be most necessary to an adequate interpretation of Milhous' results?

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The standard error of The standard error of    is is

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For each of the following cases, give the size of the sample r required for statistical significance: (a) For each of the following cases, give the size of the sample r required for statistical significance: (a)    one-tailed test;  (b)      two-tailed test; (c)     two-tailed test; (d)     two-tailed test;  (e)     one-tailed test. one-tailed test; (b) For each of the following cases, give the size of the sample r required for statistical significance: (a)    one-tailed test;  (b)      two-tailed test; (c)     two-tailed test; (d)     two-tailed test;  (e)     one-tailed test. two-tailed test; (c) For each of the following cases, give the size of the sample r required for statistical significance: (a)    one-tailed test;  (b)      two-tailed test; (c)     two-tailed test; (d)     two-tailed test;  (e)     one-tailed test. two-tailed test; (d) For each of the following cases, give the size of the sample r required for statistical significance: (a)    one-tailed test;  (b)      two-tailed test; (c)     two-tailed test; (d)     two-tailed test;  (e)     one-tailed test. two-tailed test; (e) For each of the following cases, give the size of the sample r required for statistical significance: (a)    one-tailed test;  (b)      two-tailed test; (c)     two-tailed test; (d)     two-tailed test;  (e)     one-tailed test. one-tailed test.

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In which of the following cases could the sample r have been any value over a range from rather small to quite large?

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The human resources director of a large bank conducts a study to evaluate a particular employment test for possible use in screening prospective applicants for the position of teller. A group of 16 applicants is administered the test, hired, and rated by their supervisors after 6 months on the job. A sample correlation of +.39 is obtained between test scores and supervisors' ratings. Use a significance testing approach to evaluate the sample result ( α\alpha = .05).

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If we want to know whether a test is predictive of success according to a given performance criterion, we can be certain that it is to some degree if r between these two variables is

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The sampling distribution of r is most nearly normal when The sampling distribution of r is most nearly normal when     is is

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To test the hypothesis that To test the hypothesis that     we need to remember that the number of degrees of freedom is we need to remember that the number of degrees of freedom is

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The test of a hypothesis about correlation coefficients is probably most frequently used to inquire whether

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We can be fairly sure that We can be fairly sure that    is very small in which of the following cases? is very small in which of the following cases?

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A nonsignificant correlation is obtained for a random sample of 6 cases. From this we can infer that

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A significant correlation indicates a conclusion that

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Values of r vary more when

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If the If the    transformation is used to evaluate inference about correlation coefficients, the referent distribution is transformation is used to evaluate inference about correlation coefficients, the referent distribution is

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When When    , the sampling distribution of r is , the sampling distribution of r is

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    is to the sampling distribution of r as ____________ is to the sampling distribution of the mean. is to the sampling distribution of r as ____________ is to the sampling distribution of the mean.

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The purpose of the The purpose of the    transformation is to correct for transformation is to correct for

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