Exam 13: One-Way Repeated Measures Analysis of Variance

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: What is the value for the F ratio?

Two ways to deal with confounding due to carryover effects involve randomly ordering the conditions for each participant and ____________________ the order of the conditions.

What are the assumptions underlying the F test for a one-way repeated measures analysis of variance?

The assumption that the variance of the population difference scores for any two conditions is the same as the variance of the population difference scores for any other two conditions is known as the non-homogeneous differences assumption.

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: 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 training on computer knowledge.

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

The variability in the dependent variable of a one-way repeated ANOVA that reflects the influence of the independent variable is the _____ and is conceptually equivalent to _____ in a between-subjects design.

The probable violation of sphericity in a repeated measures design can be evaluated using the

When reporting an F ratio,it is conventional to present the degrees of freedom IV followed by the degrees of freedom error.

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 the F ratio:

Many statisticians recommend that modifications be made to the _____ unless one is confident that sphericity holds.

Since the value of F required to reject the null hypothesis becomes more extreme as the degrees of freedom become smaller,repeated measures analysis of variance might actually be less powerful than between-subjects analysis of variance when individual differences have only a minimal influence on the dependent variable.

To the extent that the mean square within is larger than the mean square error,a larger F ratio and a greater likelihood of rejecting the null hypothesis should result in a between-subjects analysis of variance as opposed to a repeated measures analysis of variance.

The source of variability that reflects the influence of disturbance variables other than individual differences is termed the sum of squares ____________________.

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

Degrees of freedom adjustment factors for violation of the sphericity assumption result in degrees of freedom for ____ that are _____ the traditional degrees of freedom.

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

The sum of squares within in a between-subjects design does not include the effects of individual differences while the sum of squares error in a repeated measures design does.

The one-way repeated measures analysis of variance is typically used to analyze the relationship between two variables when the independent variable has two and only two levels.

The sum of squares within from a one-way between-subjects analysis of variance is mathematically equal to the total of the sum of squares _____ and the sum of squares _____ from a one-way repeated measures analysis of variance applied to the same scores.