Statistics for the Behavioral Sciences by Frederick J. Gravetter, Larry B. Wallnau ISBN 10: 1305504917 ISBN 13: 9781305504912

PROBLEMS 481
15. Research results indicate that 5-year-old children who
watched a lot of educational programming such as
Sesame Street and Mr. Rogers had higher high-school
grades than their peers (Anderson, Huston, Wright, &
Collins, 1998). The same study reported that 5-yearold
children who watched a lot of non-educational TV
programs had relatively low high-school grades compared
to their peers. A researcher attempting to replicate
this result using an independent-measures study
with four separate groups of high school students
obtained the following data. The dependent variable
is a rating of high school academic performance, with
higher scores indicating higher levels of performance.
a. Use a two-factor ANOVA with α = .01 to evaluate
the main effects and interaction.
b. Calculate the effect size (η 2 ) for the main effects
and the interaction.
c. Briefly describe the outcome of the study.
Educational TV
Non-educational
TV
Little Watching
Substantial
Watching
1 6
5 6
4 4
3 5
2 4
M = 3
SS = 10
M = 5
SS = 4
5 0
1 0
5 1
3 3
1 1
M = 3
SS = 16
M = 1
SS = 6
N = 20 G = 60 ΣX 2 = 256
16. Some people like to pour beer gently down the side of
the glass to preserve bubbles. Others, splash it down
the center to release the bubbles into a foamy head and
free the aromas. Champagne, however, is best when
the bubbles remain concentrated in the wine. A group
of French scientists recently verified the difference
between the two pouring methods by measuring the
amount of bubbles in each glass of champagne poured
two different ways and at three different temperatures
(Liger-Belair et al., 2010). The following data present
the pattern of results obtained in the study.
Gentle
Pour
Splashing
Pour
Champagne Temperature (°F)
40° 46° 52°
n = 10 n = 10 n = 10
M = 7 M = 3 M = 2
SS = 64 SS = 57 SS = 47
n = 10 n = 10 n = 10
M = 5 M = 1 M = 0
SS = 56 SS = 54 SS = 46
a. Use a two-factor ANOVA with α = .05 to evaluate
the mean differences.
b. Briefly explain how temperature and pouring influence
the bubbles in champagne according to this
pattern of results.
17. The following table summarizes the results from a
two-factor study with 2 levels of factor A and 4 levels
of factor B using a separate sample of n = 5 participants
in each treatment condition. Fill in the missing
values. (Hint: Start with the df values.)
Source SS df MS
Between treatments _____ _____
Factor A 20 _____ _____ F = _____
Factor B _____ _____ 12 F = _____
A × B Interaction _____ _____ 6 F = _____
Within treatments 64 _____ _____
Total _____ _____
18. The following table summarizes the results from a
two-factor study with 2 levels of factor A and 3 levels
of factor B using a separate sample of n = 8 participants
in each treatment condition. Fill in the missing
values. (Hint: Start with the df values.)
Source SS df MS
Between treatments 72 _____
Factor A _____ _____ _____ F = _____
Factor B _____ _____ _____ F = 6.0
A × B Interaction _____ _____ 12 F = _____
Within treatments 126 _____ _____
Total _____ _____