Factorial Designs Lecture Flashcards

This set of vocabulary flashcards covers the fundamental concepts of factorial designs, including the types of effects, design notation, and statistical analyses mentioned in the lecture notes.

Factorial design

A design that tests the effects of more than one independent variable, typically simultaneously.

Main Effects

The effect of an independent variable on a dependent variable without regard to the level of other possible independent variables in a study.

Interaction

Occurs when the effect of one independent variable depends on the level of one or more other independent variables.

Two-way interaction

The interaction of two independent variables on some dependent variable; the simplest form of interaction.

Three-way interaction

A design that involves the interaction of three independent variables.

Conditional effect

Another way of describing an interaction, representing the effect of one independent variable on the outcome given some level of the other independent variable(s).

Joint effect

A term sometimes used to describe the combined effect of independent variables on the dependent variable in an interaction.

$2 \times 2$ design

A design with 2 independent variables with 2 levels each, resulting in 4 unique conditions.

$2 \times 3$ design

A design with 2 independent variables, one with 2 levels and one with 3 levels, resulting in 6 unique conditions.

$2 \times 2 \times 3$ design

A design with 3 independent variables, two with 2 levels and one with 3 levels, resulting in 12 unique conditions.

Orthogonal

Means independent in both a mathematical and statistical sense; ensures that independent variables are not confounded or correlated with each other.

Crossed design

A design wherein each level of the independent variables is paired with each level of every other independent variable.

Order Effects

An issue that arises when an interaction exists between the presentation order and the independent variables, making it difficult to disentangle effects.

Chi-squared test of independence

The analysis used when all variables (independent and dependent) are measured at the nominal level.

Factorial ANOVA

A statistical test used when independent variables are nominal and the dependent variable is interval or ratio to test for main effects and interactions simultaneously.

Multiple Regression

An analysis that assesses how well a set of variables predicts some outcome, used when there is at least one interval/ratio independent variable and an interval/ratio dependent variable.

Moderation analysis

A specific form of multiple regression used to test for interactions.