When the covariate correlates +.5 with the dependent variable, I assert that the adjusted MSwithi...
When the covariate correlates +.5 with the dependent variable, I assert that the adjusted MSwithin from the ANCOVA will be less than the MSwithin from the ANOVA.
Am I correct?
Homework Answers
Yes, since ANCOVA studies the behavior of the independent variable as a covariate whereas ANOVA studies the variation in the independent variable - correlation between the covariate and the dependent variable gives us an idea of how the MSw from ANCOVA and ANOVA relate.
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When the covariate correlates +.5 with the dependent variable, I assert that the adjusted MSwithi...
Which is not true in ANCOVA? i. The covariate is continuous ii. The dependent variable is...
Which is not true in ANCOVA? i. The covariate is continuous ii. The dependent variable is categorical iii. The independent variable is categorical iv. The response is continuous
In ANCOVA, suppose Y is the dependent variable, X is the covariate, and the factor has...
In ANCOVA, suppose Y is the dependent variable, X is the covariate, and the factor has two levels. Also all assumptions of ANCOVA are met. Which of the following situations is the most desirable? a. rXY = 0.5; x̅₁=10, x̅₂=12, x̅ =11. b. rXY = 0.1; x̅₁=10, x̅₂=12, x̅ =11. c. rXY = -0.1; x̅₁=10, x̅₂=20, x̅ =15. d. rXY = -0.5; x̅₁=10, x̅₂.=20, x̅ =15.
In which of the following situations is ANOVA more powerful than ANCOVA? Choose one answer only....
In which of the following situations is ANOVA more powerful than ANCOVA? Choose one answer only. a. The adjusted means are the same as unadjusted means. b. The unadjusted means all have the same value. c. The correlation between the covariate and the dependent variable is strong. d. The correlation between the covariate and the dependent variable is weak.
In a randomized experiment (true experiment), if the covariate contains considerable measurement error, the use of...
In a randomized experiment (true experiment), if the covariate contains considerable measurement error, the use of ANCOVA would likely result in a. too much adjustment of means. b. less of the covariate effect being removed from the dependent variable. c. an F test that is too liberal. d. biased estimates of the treatment effects.
If the regression slopes of the dependent variable (Y) on the covariate (X) are substantially different...
If the regression slopes of the dependent variable (Y) on the covariate (X) are substantially different across the groups, one would expect that a. the adjusted means will be biased. b. Y is independent of X. c. the factor is not independent of X. d. there is a modest effect with equal n's in quasi-experiment.
If the regression slopes of the dependent variable (Y) on the covariate (X) are substantially different across the groups, one would expect that a. the adjusted means will be biased. b. Y is independe...
If the regression slopes of the dependent variable (Y) on the covariate (X) are substantially different across the groups, one would expect that a. the adjusted means will be biased. b. Y is independent of X. c. the factor is not independent of X. d. there is a modest effect with equal n's in quasi-experiment.
I assert that rejecting H0 (null hypothesis) in a one-factor fixed-effects ANOVA with J=3 indicates that...
I assert that rejecting H0 (null hypothesis) in a one-factor fixed-effects ANOVA with J=3 indicates that all three pairs of group means are necessarily statistically significantly different using the Scheffe procedure. Am I correct?
Question 5 (1 point) What makes ANCOVA different from ANOVA? ANCOVA can include dummy variables. O...
Question 5 (1 point) What makes ANCOVA different from ANOVA? ANCOVA can include dummy variables. O ANCOVA can include one or more continuous variables that predict the outcome. ANCOVA can include continuous variables that are not part of the main experimental manipulation but influence the dependent variable. O ANCOVA can include continuous variables that are not part of the main experimental manipulation but influence the independent variable.
Interactions: a. occur when the effect of one factor on the dependent variable is independent of...
Interactions: a. occur when the effect of one factor on the dependent variable is independent of the level of other factors b. occur only in one-way ANOVA tests c. indicate the effect of one factor on the dependent variable is the same regardless of the level of the other factors d. indicate patterns of differences in means that could not be guessed from the main effects alone
Both the χ2 and the 1-way ANOVA allow one to study the effects of more than 2 levels of an independent variable on a dependent variable. Explain why we need the χ2 when we already have the ANOVA to ha...
Both the χ2 and the 1-way ANOVA allow one to study the effects of more than 2 levels of an independent variable on a dependent variable. Explain why we need the χ2 when we already have the ANOVA to handle more than one level of the independent variable. What does the χ2 allow us to do that the ANOVA does not?
Question 5 (1 point) What makes ANCOVA different from ANOVA? ANCOVA can include dummy variables. O ANCOVA can include one or more continuous variables that predict the outcome. ANCOVA can include continuous variables that are not part of the main experimental manipulation but influence the dependent variable. O ANCOVA can include continuous variables that are not part of the main experimental manipulation but influence the independent variable.
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