Question

11.If there is an overall significant F in a one-way ANOVA, can we conclude that the group

membership or treatment variable caused the observed differences in the group means? Why or

why not?

11A.

11B. Why or why not?

Answer #1

If there is an overall significant F in a one-way ANOVA, can we
conclude that the group membership or treatment variable cause the
observed difference in the group means? Why or why not?

In a one-way ANOVA test, we conclude there are differences
across population mean if the :
a. between variation is small relative to the within
variation
b. between variation and within variable variation are equal
c. between variation is large relative to the within
variation
d. between variation equals zero

Suppose that the overall F-test obtained from performing a
one-way ANOVA resulted in a p-value that was not statistically
significant. Which of the following CANNOT be true?
The variability within the groups is very large compared to
between-group variability.
The variability between the groups is very large compared to
within-group variability.
The ratio of the between and within variability was not
sufficiently large.
The F-statistic was not larger than the critical value obtained
from the F-distribution.

The results of a one-way ANOVA are reported below.
Source of variation
SS
df
MS
F
Between groups
7.18
3
2.39
21.73
Within groups
48.07
453
0.11
Total
55.25
456
How many treatments are there in the study?
What is the total sample size?
What is the critical value of F if p = 0.05?
Write out the null hypothesis and the alternate
hypothesis.
What is your decision regarding the null hypothesis?
Can we conclude any of the treatment means...

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...

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...

In a one-way ANOVA, what is the minimum difference between means
(for each group/level/condition/sample) required to conclude that
there is a significant difference between a pair of
groups/levels/conditions/samples?

Q1. Why would you perform a one-way ANOVA over
a t-test? Is the answer, when the population means of only two
groups is to be compared, a t-test is used, but
when means of more than two groups are to be compared,
ANOVA is preferred (Y/N)
Q2. A rag-tag group of bandits crash the party
to steal candy. In a frenzy, you carefully record the numbers of
different candies that group grabbed. You arrange
the data in a table, below:...

In a one-way ANOVA, what does it mean to reject the statement
in the null hypothesis if three treatment groups are being
compared? Choose the correct answer below. A. Rejecting the
statement in the null hypothesis means that there is insufficient
evidence to conclude that the mean of one of the populations is
different than the other two or that all three populations are
different. B. Rejecting the statement in the null hypothesis means
that there is sufficient evidence to...

1. In one-way ANOVA, involving three groups, the alternative
hypothesis would be considered correct if, in the population,
a. all means were equal
b. two means are equal but the third is different
c. all three means have different values
d. either (b) or (c) above is true
QUESTION 2 When Null is true for a one-way ANOVA, variation of
the group means is a reflection of
a. inherent variation
b. differential treatment effects
c. nondifferential treatment effects
d. a...

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