Question

How do you calculate degrees of freedom for within and between subjects in one way ANOVA? Does the calculation formula change for 2 way (factorial) ANOVA?

Answer #1

Describe the structural model of a one-way between subject’s
ANOVA. Illustrate how the components of a score change as we go to
a) ANCOVA, b) one way within-subject’s ANOVA, c) factorial design,
d) mixed factorial design, and e) within-factorial design.

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...

Question 12
How many sources of error are present in a one-way
within-subjects ANOVA?
a.
0
b.
2
c.
1
d.
3

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...

There are two F ratios you can derive from an one-way
within-subjects ANOVA.
a. true
b. false

Consider the partially completed one-way ANOVA summary table
below.
Source
Sum of Squares
Degrees of Freedom
Mean Sum of Squares
F
Between
35
5
7
1.167
Within
144
24
6
Total
179
29
c. Using alpha = 0.05, what conclusions can be
made concerning the population means?

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...

Explain how a one-way analysis of variance works. How do you use
between-and within-group variability? ** Your answer should
indicate that a one-way ANOVA compares the relative size
of…..Between-groups variability comes from….while within-groups
variability comes from….The F ratio ratio divides….When the I.V.
has no effect, the F ratio is about….etc.

You conduct a one-factor ANOVA with 6 groups and 5 subjects in
each group (a balanced design) and obtain F=2.67F=2.67. Find the
requested values.
dfbetween=
dfwithin=
You intend to conduct an ANOVA with 5 groups in which each group
will have the same number of subjects: n=25n=25. (This is referred
to as a "balanced" single-factor ANOVA.)
What are the degrees of freedom for the numerator?
d.f.(treatment) =
What are the degrees of freedom for the denominator?
d.f.(error) =

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...

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