Question

Two-way repeated-measures ANOVA compares: a. Two means when there are more than two independent variables, and the same entities have been used in all conditions. b. Several means when there are two independent variables, and the same entities have been used in some of the conditions. c. Several means when there are more than two independent variables, and some have been manipulated using the same entities and others have used different entities. d. Several means when there are two independent variables, and the same entities have been used in all conditions.

Answer 1

d. Several means when there are two independent variables, and the same entities have been used in all conditions.

Explanation:

ANOVA is an abbreviation for analysis of variance and it was developed by the notable statistician Ronald Fisher. It is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors. In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.

Two-way repeated-measures ANOVA compares several means when there are two independent variables, and the same entities have been used in all conditions.

Hence, the aim of a two-way analysis of variance (ANOVA) is to give the relationship or identify if there is an interaction between the two independent variables on the dependent variable.