1. Which of the following statements about a two-way analysis of variance model is/are TRUE? A) The population of interest is classified according to two categorical variables, or factors. An experiment involving the simultaneous use of two factors offers advantages over two one-way experiments with respect to such matters as efficiency and reduction of residual variation. The two-way type of experiment requires twice as many experimental observations as would be required in two one-way experiments of the same factors. An experiment involving the simultaneous study of two factors allows for the investigation of interactions between the factors. Only A, B, and D are true. B) C) D) E) 2. Which of the following statements about the two-way ANOVA is/are FALSE? A two-wayANOVA is used when there are two outcome variables. In a 3 3 ANOVA each level of Factor A appears with only two levels of Factor B. The two-way ANOVA can only be used when the samples sizes are the same in all cells The presence of interactions always tells us that the main effects are uninformative. All of the above are false. A) B) C) D) E) 3. A study compares three levels of Factor A and two levels of Factor B, with five observations in each cell. What are the degrees of freedom for the F statistic that is used to test for interaction? A) 2 and 24 B) 3 and 30 C) 5 and 6 D) 6 and 24 4. In a study comparing four levels of Factor A and two levels of Factor B, with six observations in each cell, the SSE-3456 and the SSA 364. What is the value of the F statistic that is used to test for the main effect of Factor A? A) 1.05 B) 1.26 C) 1.40 D) 4.21