Question

a Test 8, 9, 10 [Compatibility Mode] Mailings Review View - A = E.E. E a + 1 Aa Bbccddee AaBbccddee Aa BbCCD AaBbccddee AaBbc abccdd A = = = = E4 Normal No Spacing Heading1 Heading 2 Title Subtitle 29. Two researchers analyze the same data set Researcher Auses a two-independent sample t test and decides to retain the null hypothesis. Researcher B uses a related samplest test and decides to reject the null hypothesis. Which of the following is a likely explanation for the disparity in the decisions made. A) The two-independent sample t test had greater power to detect the effect. B) The two-independent sample t test was associated with fewer degrees of freedom. C) The related samples t test had greater power to detect the effect. D) The related samplest test was associated with more degrees of freedom. 30. Compared to the two-independent sample t test, the related samples design decreases A) power B) effect size C) standard error D) significance 31. Which of the following is an advantage for selecting related samples compared to selecting independent samples in behavioral research? A) Selecting related samples can be more practical. B) Selecting related samples minimizes standard error. C) Selecting related samples increases power. D) All of the above. 32. All other things being equal, as the sample size increases, what happens to the critical value for a related samplest test (or for any ttest, for that matter)? A) The critical value increases. B) The critical value decreases. c) The critical value does not change. D) It depends on the value of the test statistie. 33, A researcher conducts a study in which the same participants are observed across each level of the independent variable. If there are only two levels of the independent variable, then what type of t test is appropriate for this study? A) one-sample t test B) two-independent sample t test c) related samplest test D) There is not enough information to answer this question BONUS: The related samples design can A) eliminate within groups error B) reduce power c) increase standard error D) be more practical E 10 E C Focus

Answer 1

29. The answer is Option C, the related samples t test had greater power to detect the effect. The ability to reject a null hypothesis is associated with the statistical power.

30. The answer is Option C, standard error. This is because in case of the related samples test, the same set of participants are used thereby decreasing variability.

31. The answer is Option D, all of the above. Selecting related samples can be more practical, can minimise standard error and increases the statistical power.

32. The answer is Option B, the critical value decreases. This is because as the sample size increases, the critical value moves closer to 0.

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