Question

6. The most basic statistical test that measures group difference is the T-test. 7. One-way analysis of variance (ANOVA) only determines the significance of group differences and does not identify which groups are significantly different. 8. One-way analysis of covariance (ANCOVA) is similar to ANOVA but additionally controls for a variable that may influence the DV. 9. Factorial analysis of variance (factorial ANOVA) extends ANOVA to research scenarios with two or more IVs that are categorical. 10. 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

Answer 1

6) The most basic statistical test that measures group difference is the t test.

True

One of the most basic and common test to measure group difference is the t-test which is used to determine whether the means of two groups are equal to each other.

7) One way analysis of variance (ANOVA) only determines the significance of group differences and does not identify which groups are significantly different.

True

The one-way analysis of variance (ANOVA) is used to determine whether the mean of a dependent variable is the same in two or more unrelated, independent groups. When there is a statistically significant difference between the groups, we can determine which specific groups were significantly different from each other using post hoc tests. ANOVA cannot tell you which specific groups were significantly different from each other; it only tells you that at least two groups were different.

8) One way analysis of covariance (ANCOVA) is similar to ANOVA but additionally controls for a variable that may influence the DV.

True

The ANCOVA is similar to ANOVA but additionally examines the influence of an independent variable on a dependent variable while removing the effect of the covariate factor. Thus the ANCOVA tests whether the independent variable still influences the dependent variable after the influence of the covariates has been removed. It eliminates the covariates effect on the relationship between independent and dependent variable that is tested with an ANOVA.

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

True

A factorial ANOVA compares means across two or more categorical independent variables. We know that one-way ANOVA has one independent variable that splits the sample into two or more groups, whereas the factorial ANOVA has two or more independent variables that split the sample in four or more groups. The factorial ANOVA uses two binary variables as independent variables, thus creating four groups within the sample.

10) Factorial analysis of covariance (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

The factorial ANCOVA looks at the influence of two or more categorical independent variables on a dependent variable while removing the effect of the covariate factor. Thus the ANCOVA tests whether the categorical independent variables still influence the dependent variable after the influence of the covariates has been removed.