Factorial ANOVA Vocabulary

Flashcards covering key vocabulary and concepts from the Factorial ANOVA I lecture.

Factorial ANOVA

A statistical test used to compare the means of two or more groups when there is more than one independent variable (factor).

Moderating Effect (Statistical Interaction)

The effect of one independent variable on the dependent variable depends on the level of another independent variable.

Factors

Another name for Independent Variables in Factorial ANOVA.

Levels

Groups, categories, or conditions within a factor (or IV).

X-way design

A factorial ANOVA involving X factors.

Main Effect

Tests the independent effect of each factor on the dependent variable.

Interaction Effect

Tests whether the effect of one factor on the DV differs depending on the level of another factor.

Cell Mean

The mean of each unique combination of levels of the factors.

Marginal Mean

The mean for each level of a factor, averaging across the levels of the other factor(s).

SSTotal

Total Sum of Squares

Between-group Sum of Squares

The variability due to group differences.

Within-group Sum of Squares

The variability due to within-group individual differences.

Error Term

The extent to which individual observations within a population differ from each other

Factorial ANOVA

A statistical test used to compare the means of two or more groups when there is more than one independent variable (factor).

Moderating Effect (Statistical Interaction)

The effect of one independent variable on the dependent variable depends on the level of another independent variable.

Factors

Another name for Independent Variables in Factorial ANOVA.

Levels

Groups, categories, or conditions within a factor (or IV).

X-way design

A factorial ANOVA involving X factors.

Main Effect

Tests the independent effect of each factor on the dependent variable.

Interaction Effect

Tests whether the effect of one factor on the DV differs depending on the level of another factor.

Cell Mean

The mean of each unique combination of levels of the factors.

Marginal Mean

The mean for each level of a factor, averaging across the levels of the other factor(s).

SSTotal

Total Sum of Squares

Between-group Sum of Squares

The variability due to group differences.

Within-group Sum of Squares

The variability due to within-group individual differences.

Error Term

The extent to which individual observations within a population differ from each other

MSBetween

Numerator in F-ratio; represents the variance explained by the model.

MSWithin

Denominator in F-ratio; represents the error variance.

F-ratio

The ratio of variance between groups to variance within groups.

p-value

Probability of obtaining test results at least as extreme as the results actually observed, assuming that the null hypothesis is correct.

Alternative Hypothesis

The hypothesis that there is a significant difference between specified populations.

Null Hypothesis

The hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.