1. A two factor research study has 2 levels of factor A and 3 levels of factor b
ID: 3360037 • Letter: 1
Question
1. A two factor research study has 2 levels of factor A and 3 levels of factor b with a separate sample of n=5 subjects in each treatment condition. Based on this information, what are the df values for the F-rations evaluating the main effect of factor A?
a. df=1,29
b. df= 1,24
c. df= 2,29
d. df= 2,24
2. In a two factor ANOVA, a significant interaction means that______?
a. The significance of the main effects is not related to the significance of the interaction
b. Neither of the main effects can be significant
c. At least one main effect is significant, but not necessarily both
d. The main effects for both factor A and factor B are also significant
3. If the results of a two factor experiment are presented in a line graph, than an interaction can be see whenever______.
a. There is a space separating the lines
b. The lines in the graph are not straight (bent)
c. The lines are parallel
d. The lines move toward each other or cross
4. In a two factor ANOVA, which of the following is not computed directly but rather is found by subtraction?
a. Ss between treatments
b. SS B
c. SS Al
d. SS AxB
5. For an experiment involving 3 levels of factor A and 4 levels of factor B with a sample of n=r5 in each treatment condition, what is the value for df within?
a. 60
b. 48
c. 12
d. 24
10.A two factor analysis of variance produces an F ration for factor A that has df=2,32. This analysis is comparing three different levels of factor A.
a. true
b. false
6. A two factor independent-measures research study with 2 levels of factor A and 2 levels of factor B would require 2 separate samples.
a. Ture
b. False
7. If the F-ratio for factor A has df=2,24 and F-ratio for factor b has df=2,24, then the F-ratio for the interaction must also have df=2,24.
a. True
b. False
8. The number of different treatment conditions(cells) in a two factor experiement is equal to the sum of df A, dfB, and dfAxB.
a. Ture
b. False
9. A two factor ANOVA consists of three separate hypothesis tests.
a. True
b. false
Explanation / Answer
Q 1. df for Factor A = m-1 = 2-1=1
df for Factor B = n-1 =3-1 =2
df for Interaction AB =(m-1)*(n-1) = 1*2 = 2
df for Total= n-1 = 30-1= 29
df for error = 29 - 5 = 24
Answer: F(1,24)
Q2 ) At least one main effect is significant, but not necessarily both
Q 3) d. The lines move toward each other or cross
Q 4) d. SS AxB
Q5) b. 48
Q6) Total number of separate groups of participants required =2 * 2 = 4
Answer: False
Q 7) False , the F-ratio for the interaction have df = F(4,24)
Q 8) False
Q 9) TRue
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