Exam 11: The T Test for Two Related Samples

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For a repeated-measures design, df = n1 + n2 - 2 for the t statistic.

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A repeated-measures study comparing two treatments with a sample of n = 4 participants produces a mean of M = 18 with SS = 24 for the scores in the first treatment, a mean of M = 14 with SS = 18 for the scores in the second treatment, and a mean of M = 4 with SS = 12 for the difference scores.What is the estimated standard error for the sample mean difference?

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In general, as the variance of the difference scores increases, the likelihood of finding a significant difference also increases.

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The repeated-measures t statistic is used with a matched-subjects design even though the design uses two separate samples.

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What is indicated by a large variance for a sample of difference scores?

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A researcher reports df = 18 for a repeated-measures t statistic.This research study used a total of n = 19 participants.

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Although the original data for a repeated-measures study consist of two scores for each participant, the calculation of the mean and variance are done with only one score for each participant.

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If the sample size is held constant, which of the following will produce the widest 90% confidence interval for the population mean difference for a repeated-measures study?

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A researcher plans to conduct a research study comparing two treatment conditions with a total of 20 scores in each treatment.Which of the following designs would require only 20 participants?

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In a repeated measures study, the null hypothesis says that the mean for the sample of difference scores should be equal to zero.

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In the repeated-measures t statistic, the value for the estimated standard error in the denominator is computed entirely from the sample data.

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What is the value of the estimated standard error for the following set of D?scores?

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For a repeated-measures study, a small variance for the difference scores indicates that the treatment effect is consistent across participants.

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What value is estimated with a confidence interval using the repeated-measures t statistic?

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A researcher obtains t = 2.35 for a repeated-measures study using a sample of n = 8 participants.Based on this t value, what is the correct decision for a two-tailed test?

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For the repeated-measures t statistic, df = _____.

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Repeated-measures designs are particularly well-suited to research studies examining learning or other changes that occur over time.

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If a set of n = 9 difference scores has a mean of MD = 3.5 and a variance of s2 = 36, then the standard error for the sample mean difference is 4 points.

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A sample of n = 9 college students is used to evaluate the effectiveness of a new Study Skills Workshop.Each student's grade point average (GPA) is recorded for the semester before the workshop and for the semester after the workshop.The average GPA improved by MD = 0.60 points with s2 = 0.09.The researcher would like to use the sample to estimate how much effect the workshop would have for the entire college population.Which of the following is the 80% confidence interval for these data?

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The estimated standard error in the denominator of the repeated-measures t statistic measures the average mean difference that is expected for a sample when there is a zero mean difference for the population.

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