Question

1. Factorial analysis of variance (factorial ANOVA) extends ANOVA to research scenarios with two or more IVs that are categorical. True or False

2. Factorial analysis of variance (factorial ANCOVA) examines group differences in a single quantitative dependent variable based upon two or more categorical independent variables, while controlling for a covariate that may influence the DV. True or False

3. One-way multivariate analysis of variance (MANOVA) is utilized to simultaneously study two or more related IVs, while controlling for the correlations among the IVs. True or False

4. One-way multivariate analysis of covariance (MANCOVA) investigates group differences among several IVs, while also controlling for covariates that may influence the DVs. True or False 5. Factorial multivariate analysis of variance (factorial MANOVA) extends MANOVA to research scenarios with two or more DVs that are categorical. True or False

6. Factorial multivariate analysis of covariance (MANCOVA) extends factorial MANCOVA to research scenarios that require the adjustment of one or more covariates on the IV. True or False

7. The primary purpose of predicting group membership is to identify specific IVs that best predict group membership as defined by the IVs. True or False

8. Discriminant analysis and logistic regression are appropriate statistical techniques when the DV is categorical. True or False

Answer 1

1. True

A factorial ANOVA compares means across two or more independent variables. A one way ANOVA has one categorical independent variable whereas the factorial ANOVA has two or more categorical independent variables. Thus, factorial analysis of variance (factorial ANOVA) extends ANOVA to research scenarios with two or more IVs (Independent Variables) that are categorical.

2. True

ANCOVA is used to know the influence of two or more independent variables on a dependent variable while removing the effect of covariate factor on the dependent variable. The factorial ANCOVA includes more than one independent variable(2 or more). The dependent variable is quantitative (measured on a continuous scale - interval or ratio) and independent variables are categorical.

3. False

A one way MANOVA has the following:

One independent variable that is categorical with two or more groups.

Two or more dependent variables that are continuous.

Thus, one way multivariate analysis of variance (one way MANOVA) is used to know whether there are any differences between two or more groups of an independent variable on more than one continuous dependent variable. But it is not utilized to simultaneously study two or more related IVs.

4. False

The One way MANCOVA includes one independent variable and one or more dependent variables and can include more than one covariate. But it is not used to investigate group differences among several IVs.

5. False

A factorial MANOVA is used to know if two or more categorical grouping variables(and their interactions) significantly affect optimally weighted linear combinations of two or more normally distributed dependent variables. The dependent variables are not categorical but continuous and independent variables are categorical.

6. False

The factorial ANCOVA (but not factorial MANCOVA) is used to determine whether there is an interaction effect between two independent variables in terms of a continuous dependent variable (if a two-way interaction effect exists), after adjusting for one or more continuous covariates.

7. False

The primary purpose of predicting group membership is to identify specific IVs that best predict group membership as defined by the Dependent Variable, DV (but not IVs).

8. True

Discriminant analysis and logistic regression are the statistical methods that are used when the dependent variable(DV) of the study is categorical.