Question

12. What is the total of the ANOVA split into?

16. What is a post hoc test and why don’t you need it if your ANOVA is not significant?

18. What happens to the curve as the degrees of freedom for the numerator and for the denominator get larger? This information was also discussed in previous chapters.

Answer #1

Week 8 Discussion
Consider the different post hoc tests discussed in the readings
and respond to the following:
Describe the general rationale behind using post hoc tests
(i.e., when they are used and why).
One of the advantages of using an ANOVA (compared to using
t-tests) is also a disadvantage—using an ANOVA makes it
necessary to use post hoc tests if there is a significant main
effect. We use a post hoc test because there is one specific
advantage in...

What is a post-hoc test and why is it necessary to use one after
a significant ANOVA?

Describe a situation where you would use ANOVA by stating
1. the quantity of populations that are to be investigated,
2. a quantitative variable on these populations,
3. the sizes of samples from these Populations,
4. your null hypothesis,
5. your alternative hypothesis, and
6. a significance level.
Then find 7. The degrees of freedom of the numerator of your
F-statistic, p
8. the degrees of freedom of the denominator of your
F-statistic, and state
9. what the P-value for...

A one-way analysis of variance was conducted on 5 groups. The
total standard devation was calculated to be 2. The total degrees
of freedom was found to be 18 and the resulting p-value was found
to be 0.25. Use the given information to fill out the rest of the
ANOVA table.
What is the number of treatment degrees of
freedom?
What is the denominator degrees of freedom for the test
statistic?
How many total observations were there?
What is the...

Practice Exercise 13: One -way Analysis of Variance (ANOVA)
1. When is it appropriate to use a one-way ANOVA to analyze
data?
2. What letter is use the designate the test statistic used in
the one-way ANOVA?
3. What are the two types of variance that are examined when
conducting an analysis of variance?
4. Which type of variance is related to the effect of a
treatment?
5. Does the analysis of variance test differences between two
specific groups?
Use...

Effect Size and Post-Hoc Tests
For each of the following studies, use the information given to
calculate the effect size and then do post-hoc tests and interpret
the results. Use alpha = .05
1. Fifteen third-grade students participated in a memory
experiment. Five students had a story read to them by a teacher,
five read the story themselves, and five saw a video of the story.
Each student then took a memory test on 12 items from the story.
The...

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:...

Another type of painted ceramic vessel is called
three-circle red-on-white ( Mimbres Mogollon
Archaeology). At four different sites in an archaeological
region, the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
Site IV
19
12
38
15
27
5
20
17
7
35
16
12
19
3
44
35
17
22
15
17
13
Shall we reject or not reject the claim that there is no
difference in the population mean three-circle...

A university also wants to determine if there are significant
differences in GPA among students from different majors. They
collect data on GPA for four different majors and find the
following results: Business Administration (M = 2.9; N = 60), Fine
Art (M = 3.3; N = 60), Nursing (M = 3.5; N = 60), and Psychology (M
= 3.6; N = 60). They also calculated the between-group and total
sum of squares (SSB = 19.8; SST = 303.0). Use...

Consider the partial ANOVA table shown below. Let a = .01
Source of Variation
DF
SS
MS
F
Between Treatments
3
180
Within Treatments (Error)
Total
19
380
If all the samples have five observations each:
there are 10 possible pairs of sample means.
the only appropriate comparison test is the Tukey-Kramer.
all of the absolute differences will likely exceed their
corresponding critical values.
there is no need for a comparison test – the null hypothesis is
not rejected.
2...

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