When a research study involves more than one factor, it is called a factorial de
ID: 3205523 • Letter: W
Question
When a research study involves more than one factor, it is called a factorial design.
True
False
0.5 points
Question 3
From the textbook information, you learned that a two-factor ANOVA allows us to examine 6 types of mean differences within one analysis.
True
False
0.5 points
Question 4
A(n) ___ examines the potential for mean differences between individual treatment conditions (i.e., cells) while a(n) ___ examines mean differences among the levels of only one factor.
main effect; interaction
interaction; main effect
0.5 points
Question 5
After reading the information in section 14.2, you know that if the two factors are independent, so that one factor does not influence the effect of the other, then there ___ interaction. When the two factors are not independent, so that the effect of one factor depends on the other, then there ___ an interaction.
is not; is not
is not; is
is; is not
is; is
0.5 points
Question 6
In a two-factor ANOVA, what is the implication of a significant AxB interaction on main effects?
At least one of the main effects must also be significant.
Both of the main effects must be significant.
Neither of the main effects can be significant.
The significance of the interaction has no impact on whether a main effect is significant or not
0.5 points
Question 7
Using the information provided in the Table, determine the F(observed) values for Factor A, Factor B, and Factor AxB (Note that you will need to fill in some of the SS and df information).
Source
SS
df
MS
F(observed)
F(critical)
Significant?
Between
36
3
FactorA
1
12
FactorB
3
1
3
AxB
21
21
Within
84
28
3
Total
120
31
F(observed) for Factor A is 2.00, F(observed) for Factor B is 4.00, and F(observed) for Factor AxB is 3.00
F(observed) for Factor A is 2.00, F(observed) for Factor B is 1.00, and F(observed) for Factor AxB is 3.00
F(observed) for Factor A is 4.00, F(observed) for Factor B is 1.00, and F(observed) for Factor AxB is 7.00
F(observed) for Factor A is 4.00, F(observed) for Factor B is 4.00, and F(observed) for Factor AxB is 7.00
1 points
Question 8
Using the Table from Question 7, determine the F(critical) value for FactorAxB (alpha = 0.05)
3.88
4.41
4.20
7.64
Explanation / Answer
Answer:
When a research study involves more than one factor, it is called a factorial design.
Answer:True
False
0.5 points
Question 3
From the textbook information, you learned that a two-factor ANOVA allows us to examine 6 types of mean differences within one analysis.
Answer:True
False
0.5 points
Question 4
A(n) ___ examines the potential for mean differences between individual treatment conditions (i.e., cells) while a(n) ___ examines mean differences among the levels of only one factor.
main effect; interaction
interaction; main effect
0.5 points
Question 5
After reading the information in section 14.2, you know that if the two factors are independent, so that one factor does not influence the effect of the other, then there ___ interaction. When the two factors are not independent, so that the effect of one factor depends on the other, then there ___ an interaction.
is not; is not
Answer: is not; is
is; is not
is; is
0.5 points
Question 6
In a two-factor ANOVA, what is the implication of a significant AxB interaction on main effects?
At least one of the main effects must also be significant.
Both of the main effects must be significant.
Neither of the main effects can be significant.
Answer:The significance of the interaction has no impact on whether a main effect is significant or not
0.5 points
Question 7
Using the information provided in the Table, determine the F(observed) values for Factor A, Factor B, and Factor AxB (Note that you will need to fill in some of the SS and df information).
Source
SS
df
MS
F(observed)
F(critical)
Significant?
Between
36
3
FactorA
12
1
12
4
4.2
No
FactorB
3
1
3
1
4.2
No
AxB
21
1
21
7
4.2
Yes
Within
84
28
3
Total
120
31
Answer:F(observed) for Factor A is 4.00, F(observed) for Factor B is 1.00, and F(observed) for Factor AxB is 7.00
1 points
Question 8
Using the Table from Question 7, determine the F(critical) value for FactorAxB (alpha = 0.05)
3.88
4.41
Answer:4.20
7.64
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