Multiple Choice 1. In a one-factor between-subjects analysis of variance, the F

Question

Multiple Choice

1. In a one-factor between-subjects analysis of variance, the F statistic is defined as ________.

a. MSA / dfError

b. MSTotal / MSError

c. SSA / dfA

d. MSA / MSError

e. SSError / dfError

2. SSA and SSError are also called ___________ and ____________ sums of squares, respectively.

a. between groups; mean groups

b. within groups; between groups

c. between groups; within groups

d. treatments; within groups

e. c and d

3. If SStotal = 80, SSA = 50, SSError = 30, dftotal = 15, dfA = 3, and dfError = 12 in a one-factor between-subjects analysis of variance, then MSError =_____

a. 1.43

b. 0.83

c. 2.5

d. 16.67

e. 5.33

4. Based on the sums of squares and degrees of freedom above in (c), what are the values of Fobs and Fcrit (assume ?=0.05)? Show work and reasoning in choosing the correct answer.

a. 2.13; 2.54

b. 6.67; 2.54

c. 2.13; 2.85

d. 6.67; 2.85

e. a or c

Explanation / Answer

1.c. SSA / dfA

2 .b. within groups; between groups

3.d. 16.67

4.b. 6.67; 2.54

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