1 A researcher is performing a twoway ANOVA using two factor

1. A researcher is performing a two-way ANOVA using two factors. The first factor has 4 levels and the second factor has 5 levels. In the ANOVA Summary Table, the degrees of freedom for the first and second factors will be

a. 4 d.f. for the first factor and 5 d.f. for the second factor

b. 3 d.f. for the first factor and 4 d.f. for the second factor

c. 5 d.f. for the first factor and 6 d.f. for the second factor

d. 20 d.f. for the first factor and 20 d.f. for the second factor

2. Which of the following assumptions does not apply to the two-way ANOVA?

a. The populations from which the samples were obtained must be normally or approximately normally distributed.

b. The samples must be independent of each other.

C The means of the populations must be equal.

d. The groups must be equal in sample size.

3. In a two-way ANOVA design, variable A has four levels and variable B has two levels. There are eight data values in each cell. What is the d.f.N. for factor B?

Solution

Answer to question# 1)

degree of freedom (df) = number of levels - 1

.

given : first factor has four levels , this implies it df = 4-1 = 3

the second factor has 5 levels , this implies its df = 5 -1 = 4

Thus we get 3 df for first factor and 4 df for second factor

Option B is the correct answer choice