Factor Analysis of Variance and Chi-Square Test

Flashcards containing key vocabulary terms and definitions related to factor analysis of variance and chi-square tests from the lecture notes.

Factorial designs

Experimental designs that involve studying the effects of two or more independent variables (factors) simultaneously.

Interaction effects

Occurs when the effect of one independent variable on the dependent variable varies depending on the level of another independent variable.

Two-way designs

Experiments that utilize two independent variables.

Main Effect

The effect of each independent variable on the dependent variable, ignoring other variables.

Interaction

The combined effect of two or more variables that differs from the sum of their individual effects.

Cells

Unique combinations of levels from different factors in factorial designs.

Marginal Means

Averaged scores across levels of one variable, ignoring the other.

F-scores

Statistics used in ANOVA that indicate whether observed differences between groups' means are likely due to real differences.

Repeated measures ANOVA

ANOVA used when the same subjects are tested under different conditions, allowing for their own controls.

Chi-square test

A statistical test that assesses the association between categorical variables.

Goodness of fit

A chi-square test that compares observed data to a hypothesized distribution.

Test of independence

A chi-square test that assesses whether there is a relationship between two categorical variables.

Expected frequencies

Values that represent what would be expected under the null hypothesis in a chi-square test.

Observed frequencies

The actual counts observed in the data during a chi-square analysis.

Independence (in statistics)

The occurrence of one variable is not related to the occurrence of another variable.

Contingency table

A table used to display observed frequencies across different categories of variables.

Repeated measures designs

Study designs that allow multiple measurements from the same subjects, providing insights into within-subject variability.

ANOVA table

A table that summarizes the results of an ANOVA, including sums of squares and F-scores.