Question

Problem No 1:

- What is the main difference between one-way ANOVA and three-way ANOVA? (1 point)

- In two-way ANOVA, what is the effect on dependent variable you are able observe otherwise not possible if running two separate studies with one-way ANOVA? (1 point)

- What does a marginal mean represent? (1 point)

- What does a cell mean represent? (1 point)

- In a three-way ANOVA, how many interaction effects are to be tested for significance? (1 point)

Answer #1

14)
The primary reason for conducting a two-way ANOVA instead of a
one-way ANOVA is to:
a)
control for order effects
b)
explore the interaction effect of the independent
variables
c)
explore the interaction between the independent and the
dependent variables
d)
rule out third-variable problems
e)
look at independent variables that have more than 2 levels or
treatment conditions
.

Complete the following ANOVA summary table for a two-factor
fixed-effects ANOVA, where there are three levels of factor A
(school) and seven levels of factor B (curriculum design). Each
cell includes 14 students. Use a significance level of α=0.05.
Source
SS
DF
MS
F
p
A
B
10902.6
AxB
15786.8
Error
197379
TOTAL
229475.3
Decision for the main effect of factor A:
reject the null H01
fail to reject the null H01
Decision for the main effect of factor...

Is there any difference between a Factorial ANOVA and a One-Way
ANOVA?
Yes, a Factorial ANOVA has 2+ IVs, whereas a One-Way ANOVA has
only 1 IV.
Yes, the main purpose of a Factorial ANOVA is to test if two or
more groups are significantly different from each other, whereas a
One-Way ANOVA compares means across two or more independent
variables.
No, both tests are the same.
Yes, Factorial ANOVA results in the calculation of three F
ratios, whereas two...

1. Using the two-way mixed ANOVA, different participants are
observed at each level of the between-subjects factor, and the same
participants are observed across the levels of the within-subjects
factor. TRUE OR FALSE
2. A researcher computes two 2 × 2 between-subjects ANOVAs. In
Study 1, he observes 8 participants in each cell; in Study 2, he
observes 12 participants in each cell. Which study is associated
with a larger value for degrees of freedom for the A × B...

1. A “one-way” between-subjects ANOVA is conducted when data are
recorded in one group.
True
False
2. Post hoc tests control for the total alpha level for a series
of tests conducted on the same data.
True
False
3. All post hoc tests control for the effect size of a
significant result.
True
False
4. A one-way between-subjects ANOVA is conducted to test for
mean differences between the levels of two or more factors.
True
False
5. A researcher conducts...

1.You obtained a significant F ratio when comparing
three treatments in a one-way ANOVA. In words, how would you
interpret the alternative hypothesis?
A.All three treatments have different effects on the mean
response.
B.Exactly two of the three treatments have the same effect on
the mean response.
c.At least two treatments are different from each other in terms
of their effect on the mean response.
D.The alternative hypothesis should be rejected.
c.None of the above.
2.In a multiple regression analysis,...

Part a: If the interaction in a two-way factorial ANOVA
is significant, then
A.
we need to test for all main effects.
B. we need to test for simple effects.
C.
we need to test for one of the main
effects.
D. None of above.
Part B: When testing for significant mean differences
among three groups means, doing independent t tests on all possible
pairwise comparisons will
A.not change the probability of a Type I
error.
B. increase the probability...

QUESTION 1
An interaction occurs whenever
a. there is one main effect
b. there are two main effects
c. there is no main effect for either factor
d. the existence of an interaction is independent of the main
effects
QUESTION 2
In a 2 ´ 2 factorial experiment if the effect of one factor is
the same at both levels of the second factor, then
1.
there is an interaction.
2.
the experiment is confounded.
3.
there is no interaction....

Two Way Analysis of Variance results:
Responses: Recall
Row factor: Vivid
Column factor: Length
ANOVA table
Source
DF
SS
MS
F-Stat
P-value
Vivid
1
0
0
0
1
Length
1
32
32
10.666667
0.0309
Interaction
1
8
8
2.6666667
0.1778
Error
4
12
3
Total
7
52
Means table
1
2
1
5
3
4
2
7
1
4
6
2
4
Is there a significant main effect? If yes, is it a main effect
of vividness, length, or both?...

You were comparing four treatments in a one-way ANOVA (or simply
ANOVA in our class) and obtained a significant test statistic. How
would you interpret the alternative hypothesis HA in words? justify
your answer
a)At least two treatments are different from each other in terms
of their effect on the mean response.
b)All of the above.
c)None of the above.
d)Exactly two of the four treatments have the same effect on the
mean response.
e)All four treatments have different effects...

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