Ch.14 Two-Way Between-Groups ANOVA

Interaction

A statistical ____________ occurs in a factorial design where two or more independent variables have an effect on the dependent variable in combination that neither independent variable has on its own.

Two way

A ___-____ ANOVA is a hypothesis test that includes two nominal independent variables, regardless of their numbers of levels, and a scale dependent variable.

Factorial

Any ANOVA with at least two independent variables can be called a _________ ANOVA.

Factorial ANOVA

A _________ ______ is a statistical test used with one scale dependent variable and at least two nominal independent variables.

Factor

A ________ is another word used to describe an independent variable in a study with more than one independent variable.

Cell

A ____ is a box that depicts one unique combination of levels of the independent variables in a factorial design.

Main effects

The F statistic for each of the two independent variables in a two-way ANOVA describe _____ ________.

Main effect

A ____ _______ occurs in a factorial design when one of the independent variables has an influence on the dependent variable.

Interaction

Any subgroup that represents a significant exception in any direction to the general trend in data might indicate a statistical ___________.

Interaction

An ___________ occurs when the effect of one independent variable depends on the specific level of another independent variable.

Main effects interaction

The two-way between-groups ANOVA allows us to separate between-groups variance into three finer categories: The two _____ ________ and an __________ effect.

Quantitative interaction

A ___________ ________ is an interaction in which the effect of one independent variable is strengthened or weakened at one or more levels of the other independent variable, but the direction of the initial effect does not change.

Quantitative

In a ______________ interaction, the effect of one independent variable is modified in the presence of another independent variable.

Qualitative interaction

A __________ ___________ is a particular type of quantitative interaction of two (or more) independent variables in which one independent variable reverses its effect depending on the level of the other independent variable.

Main effects

If there is a significant interaction we ignore any significant ____ ________.

Marginal mean

A _________ _____ is the mean of a row or a column in a table that shows the cells of a study with a two-way ANOVA design.

Main effects

If we are unable to reject the null hypothesis in a two-way between-groups ANOVA, then we focus on any significant ____ ________, drawing a specific directional conclusion for each.

Mixed design ANOVA

A _______-_______ ______ is used to analyze the data from a study with at least two independent variables; at least one variable must be within-groups and at least one variable must be between-groups.

Within between

A mixed-design ANOVA is used to analyze the data from a study with at least two independent variables; at least one variable must be __________-groups and at least one variable must be __________-groups.

multivariate analysis of variance

A __________ _________ __ _________ (MANOVA) is a form of ANOVA in which there is more than one dependent variable.

Dependent

A multivariate analysis of variance (MANOVA) is a form of ANOVA in which there is more than one __________ variable.

analysis of covariance

An ________ __ __________ (ANCOVA) is a type of ANOVA in which a covariate is included so that statistical findings reflect effects after a scale variable has been statistically removed.

Scale

An analysis of covariance (ANCOVA) is a type of ANOVA in which a covariate is included so that statistical findings reflect effects after a __________ variable has been statistically removed.

Covariate

A __________ is a scale variable that we suspect associates, or covaries, with the independent variable of interest.

ANCOVA

An ____________ (test) statistically subtracts the effect of a possible confounding variable.

Confounding

An ANCOVA statistically subtracts the effect of a possible ___________ variable.