Factorial Between-Participants ANOVA Review

Flashcards covering key concepts from the lecture on Factorial Between-Participants ANOVA.

What is a variable?

Anything that can vary, i.e., take on a given value in a set of possible values.

What is variance?

A measure of the dispersion or spread of scores around a point of central tendency (the mean).

In ANOVA, what question is examined regarding the IV and DV?

Mean differences in DV scores across levels/groups of the IV to see if these DV scores vary systematically as a function of the IV.

What does ANOVA partition total variance into?

Between-groups variance and within-groups variance.

What is between-groups variance?

Systematic variation in DV between the different groups/levels/treatments of the IV (treatment variance).

What is within-groups variance?

Random variation in DV within the groups that can’t be explained by the IV; due to unmeasured influences (error variance).

What does the F-test in ANOVA test?

Whether between-groups variance is proportionally greater than within-groups variance.

If the F statistic is significant in a one-way ANOVA, what does this suggest?

The between-groups variance is significantly larger than the within-groups variance, and there is a treatment effect.

Give the formula for the structural model in one-way ANOVA

Xij = . + j + ij

What are the three research questions in a two-way ANOVA?

Is there a main effect of Factor A? Is there a main effect of Factor B? Is there a Factor A x Factor B interaction?

What do main effects compare?

Marginal means for each factor

What does a summary table include?

F-test results for all omnibus tests.

What are the assumptions of two-way ANOVA?

Normality, Homogeneity of variance and Independence of observations