Exam 13: Hypothesis Tests Applied to Means: Two Related Samples

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A repeated measures t test is more likely to lead to rejection of the null hypothesis if

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An experimenter collected data on how well a study guide improved grades on an exam taken late in the semester compared to an exam taken early in the semester. Using a related sample means t test, the results showed that later grades were higher than early grades ( t (74) = 3.64, p

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Which of the following is sometimes a serious problem with repeated measures designs?

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  -Calculate and interpret the correlation for the previous data. -Calculate and interpret the correlation for the previous data.

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We want to study the mean difference in autonomy between first-born and second-born children. Instead of taking a random sample of children we take a random sample of families and sort the children into first- and second-born. The dependent variable is a measure of autonomy. This experiment would most likely employ

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Individual differences between subjects are less problematic in related samples designs than in independent samples designs.

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The following is part of the printout from an SPSS analysis of data on paired samples.  Use it to answer the next several questions. The following is part of the printout from an SPSS analysis of data on paired samples.  Use it to answer the next several questions.   The 2-tailed significance level tells us The 2-tailed significance level tells us

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The standard error of the difference between two means is

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We treat the repeated sample case differently from the case involving two separate samples because of

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As the value of the mean difference score decreases

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If the experimenter had instead used an independent samples design with the same number of participants

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The variables under study in repeated measures designs are unrelated to one another.

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The following is part of the printout from an SPSS analysis of data on paired samples.  Use it to answer the next several questions. The following is part of the printout from an SPSS analysis of data on paired samples.  Use it to answer the next several questions.   The standard error of the mean of difference scores could be calculated by The standard error of the mean of difference scores could be calculated by

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In Chapter 13 the calculation for a repeated measures t test on change within subjects is given as In Chapter 13 the calculation for a repeated measures t test on change within subjects is given as   Use this formula for the next several questions. In the formula for t , 1.73 is Use this formula for the next several questions. In the formula for t , 1.73 is

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In Chapter 13 the calculation for a repeated measures t test on change within subjects is given as In Chapter 13 the calculation for a repeated measures t test on change within subjects is given as   Use this formula for the next several questions. A t test, in general, involves Use this formula for the next several questions. A t test, in general, involves

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  -Calculate and interpret t for the previous data. -Calculate and interpret t for the previous data.

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A difference score is obtained by

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Generate three examples of research questions that are appropriate for testing with a related samples t-test.

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The null hypothesis of a related scores t test is

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Related samples designs require fewer subjects than independent sample designs to achieve the same degree of statistical power.

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