Dependent Groups ANOVA

What is the primary goal of increasing the power of ANOVA?

Increasing the magnitude of the treatment effect is generally a practical approach to increasing the power of ANOVA.

Which of the following actions can increase the power within an ANOVA test?

In dependent groups ANOVA, 'independent random sampling' implies that the sampling of any given participant within the data is dependent on the presence of any other participant within the data.

What does the assumption of normality in dependent groups ANOVA primarily ensure?

Circularity, an assumption underlying dependent groups ANOVA, is primarily assessed using the Kolmogorov-Smirnov test.

In dependent groups ANOVA, the unsystematic error term of the independent groups ANOVA has been partitioned into ______ sources of error, and unsystematic sources of error.

In the context of ANOVA, what is the primary distinction between 'blocks' and 'subjects'?

The F-ratio for blocks is calculated to determine the extent to which the matching process was successful in reducing random error.

State the formula for eta-squared ($η^2$) in the context of ANOVA.

If a significant F-ratio is observed in an ANOVA, what does this generally indicate?

In ANOVA, post-hoc tests are used to determine the magnitude of the overall effect, indicated by the eta-squared value.

In a computational example comparing four groups with 15 individuals each, which test should be used to analyze statistically if the participants were matched?

If an independent groups ANOVA is used when the data are matched, it may result in an ______ of the subject variance.

If the assumptions of normality and homogeneity of variance are violated, what is the general advice?

Match each term with its correct description in the context of dependent groups ANOVA:

In ANOVA, what does the term 'degrees of freedom' refer to?

In a dependent groups ANOVA, the degrees of freedom for the treatment effect are calculated differently than those in an independent groups ANOVA.

In an ANOVA summary table, the F statistic is calculated as the ratio of the Mean Square for Treatment ($MS_T$) to the Mean Square for ______ ($MS_E$).

How do you calculate the degrees of freedom for blocks/subjects ($df_B$)?

Which of the following is the formula for degrees of freedom for unsystematic error in a dependent groups ANOVA design?

Express the formula for sum of squares for error ($SS_E$) in a dependent groups ANOVA.

A non-significant F-ratio for the blocks effect in a repeated measures ANOVA suggests that one should proceed with the analysis after removing the systematic error.

In an ANOVA summary table, the formula used to calculate the Mean Square ($MS$) is $SS$ divided by ______.

What does a significant difference found through post hoc testing in the context of ANOVA indicate?

When there is a treatment effect the mean D is not different from all of the other means.

In Tukey's HSD, what does $'v'$ represent in $w = q(k,v)\sqrt{MSE/\bar{n}} $?

A researcher conducts a study using a dependent groups ANOVA and calculates the $F$ obt. of 9.36. If the $F$ critical is 2.839, what decision should the researcher make regarding the null hypothesis?

A researcher conducts a study using a dependent groups ANOVA, one benefit of this design is that it tends to be less powerful due to better matching.

Step 2 of conducting steps to determine if you should reject the null hypothesis requires checking assumptions, one of these assumptions is ______.

What does 'k' represent when calculating degrees of freedom?

In ANOVA, after obtaining a significant effect, follow-up tests such as Tukey's HSD are unnecessary as the overall effect is already known.

How do you define a hypothesis statement?

In repeated measures ANOVA, the $SS_{Total}$ represents the total variability in the data. It can be partitioned into the sum of squares due to the treatment effect, the sum of squares due to ________, and the sum of squares due to error.

Calculating the denominator degrees of freedom, why do the researchers drop down to the next lowest df estimate?

By proceeding with the same data through a dependent groups ANOVA can we can better control errors to see if we can have an impact on the subjects.

If a researcher decides to use repeated measures, what advantage can this decision have?

State the steps one would take to run a computational example to determine if you should reject that null hypothesis.

A dependent groups ANOVA would not apply if the participants were well matched.

In the hypothesis statement $Ha$ denotes at least one pair of ______ differ.

What are you looking at when looking for circularity?