Exam 12: One-Way Repeated Measures Analysis of Variance

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The function of the sum of squares subjects is to remove variability due to _____ from the dependent variable so that a more sensitive test of the relationship between the independent and dependent variables can be performed.

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Eta2 reflects the proportion of variance in the dependent variable associated with the _____ after variability due to _____ has been removed.

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A

Describe an alternative to counterbalancing as a means of controlling confounding variables.

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An alternative to counterbalancing as a means of controlling confounding variables is to randomly order the conditions for each subject.The rationale is that when the sequence of conditions across subjects is randomly determined,chance will ensure that each condition occurs in each position an approximately equal number of times and,thus,that carry-over effects are evenly distributed across conditions.This approach is particularly valuable when the number of conditions is so great that counterbalancing is impossible.

A biopsychologist is interested in studying the effects of marijuana on cognitive skills by studying a group of 7 rats.He puts each rat in a maze and measures the time it takes the rat (in minutes)to find the cheese at the end of the maze.He then puts a mask on the rat and has it inhale marijuana smoke for 5 seconds.He then puts the rat back in the maze,and records its time to reach the cheese.Twenty minutes later he puts the rat back in the maze to test for lasting effects of the drug.The tables below summarize the data and part of the data analysis: A biopsychologist is interested in studying the effects of marijuana on cognitive skills by studying a group of 7 rats.He puts each rat in a maze and measures the time it takes the rat (in minutes)to find the cheese at the end of the maze.He then puts a mask on the rat and has it inhale marijuana smoke for 5 seconds.He then puts the rat back in the maze,and records its time to reach the cheese.Twenty minutes later he puts the rat back in the maze to test for lasting effects of the drug.The tables below summarize the data and part of the data analysis:       Based on the F ratio you just computed and the appropriate critical value (3.88),your decision would be to _______,suggesting that ______ a statistically significant effect of marijuana on the time it takes rats to complete the maze. A biopsychologist is interested in studying the effects of marijuana on cognitive skills by studying a group of 7 rats.He puts each rat in a maze and measures the time it takes the rat (in minutes)to find the cheese at the end of the maze.He then puts a mask on the rat and has it inhale marijuana smoke for 5 seconds.He then puts the rat back in the maze,and records its time to reach the cheese.Twenty minutes later he puts the rat back in the maze to test for lasting effects of the drug.The tables below summarize the data and part of the data analysis:       Based on the F ratio you just computed and the appropriate critical value (3.88),your decision would be to _______,suggesting that ______ a statistically significant effect of marijuana on the time it takes rats to complete the maze. Based on the F ratio you just computed and the appropriate critical value (3.88),your decision would be to _______,suggesting that ______ a statistically significant effect of marijuana on the time it takes rats to complete the maze.

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ÓX2 = 704 (ÓX)2 = 8464 ÓTj2 =3178 ÓX = 92 k=3 N = 5 Ósi2 = 1898 Based on the summary values given earlier,what is the value of eta2?

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The usual assumption that the sample is independently and randomly selected from the population of interest is not applicable to the repeated measures analysis of variance.

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In the one-way repeated measures analysis of variance,the F ratio is calculated by dividing the MSIV by the ____________________.

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In the summary table of a one-way repeated ANOVA,______ degrees of freedom values and _____ F values are recorded.

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The null hypothesis of a one-way repeated ANOVA is _____.

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The one-way repeated measures analysis of variance is used under the same conditions as one-way between-subjects analysis of variance except that the independent variable is within-subjects in nature rather than between-subjects in nature.

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For sample sizes larger than _____,the Type I error rate remains near the specified alpha level even in the face of marked _____.

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Violations of the assumption of _____ lead to increased _____ error.

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An industrial psychologist is interested in the effectiveness of an employee computer training course.A total of 7 employees are enrolled in the course.The psychologist measures computer knowledge (1)just before the training begins, (2)again at the end of training,and (3)again at a 3-month follow-up.An increase in computer knowledge from pre-training to end-of-training would suggest the training is effective.Scores on the computer knowledge test can range from 1 to 10.The tables below summarize the data and part of the data analysis: An industrial psychologist is interested in the effectiveness of an employee computer training course.A total of 7 employees are enrolled in the course.The psychologist measures computer knowledge (1)just before the training begins, (2)again at the end of training,and (3)again at a 3-month follow-up.An increase in computer knowledge from pre-training to end-of-training would suggest the training is effective.Scores on the computer knowledge test can range from 1 to 10.The tables below summarize the data and part of the data analysis:         Calculate MS<sub>IV</sub>: An industrial psychologist is interested in the effectiveness of an employee computer training course.A total of 7 employees are enrolled in the course.The psychologist measures computer knowledge (1)just before the training begins, (2)again at the end of training,and (3)again at a 3-month follow-up.An increase in computer knowledge from pre-training to end-of-training would suggest the training is effective.Scores on the computer knowledge test can range from 1 to 10.The tables below summarize the data and part of the data analysis:         Calculate MS<sub>IV</sub>: Calculate MSIV:

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Discuss the issue of the robustness of the F test to violations of the sphericity assumption.

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An important advantage of the one-way repeated measures ANOVA over the one-way between subjects ANOVA is the ability to partition variability due to _____ out of the F ratio.

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The sum of squares across subjects is a feature that differentiates the between-subjects and the repeated measures analysis of variance.

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The variability component in a one-way repeated ANOVA that differentiates it from the between-subjects design is the ______.

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How is the total variability in the dependent variable partitioned in a repeated measures design?

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As with the correlated groups t test,eta-squared in the context of the one-way repeated measures analysis of variance represents the proportion of variability in the dependent variable that is associated with the independent variable,before variability due to individual differences has been removed.

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The F test is robust to violations of the ____________________ assumption.

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