Does drinking alcohol affect how attractive other people seem? If so, what kinds of alcohol? To find out, Lauren had 48 participants rate the attractiveness of faces on a 0-to-10 scale after they had consumed 500 ml of either non-alcoholic beer (placebo), medium-strength beer, or strong beer. Here are the results of the omnibus ANOVA:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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13.
Does drinking alcohol affect how attractive other people
seem? If so, what kinds of alcohol? To find out, Lauren had 48
participants rate the attractiveness of faces on a 0-to-10 scale after
they had consumed 500 ml of either non-alcoholic beer (placebo),
medium-strength beer, or strong beer. Here are the results of the
omnibus ANOVA:
Descriptives
Descriptives - Attractiveness
Alcohol
Mean
SD
N
5.688
4.563
1.352
1.711
Medium
16
Placebo
16
Strong
6.563
0.964
16
ANOVA - Attractiveness
Cases
Sum of Squares
df
Mean Square
F
Alcohol
32.167
2
16.083
8.484
<.001
Residuals
85.312
45
1.896
Note. Type III Sum of Squares
Here are the results of planned contrasts for each pair of groups:
df
Placebo vs. Medium:
-2.063
30
0.048
df
Placebo vs. Strong:
-4.073
30
<.001
df
Medium vs. Strong:
-2.107
30
0.044
And here are the results of Tukey post hoc comparisons:
Post Hoc Comparisons - Alcohol
Mean Difference
SE
Ptukey
Placebo
Medium
-1.125
0.487
-2.311
0.064
Strong
-2.000
0.487
-4.108
< .001
Medium
Strong
-0.875
0.487
-1.797
0.182
Note. P-value adjusted for comparing a family of 3
For which pair(s) of groups did the planned contrasts and
post hoc comparisons yield the same decision regarding
statistical significance (a = .05)? For which pair(s) of groups did
they yield different decisions?
If Lauren had no theory-driven hypotheses about which
would differ from each other, which set of follow-up
analyses (planned contrasts or post hoc comparisons) should be
groups
used?
Based on the follow-up analyses you chose in the
previous bullet point, what kind(s) of beer affect perceived
attractiveness?
Transcribed Image Text:13. Does drinking alcohol affect how attractive other people seem? If so, what kinds of alcohol? To find out, Lauren had 48 participants rate the attractiveness of faces on a 0-to-10 scale after they had consumed 500 ml of either non-alcoholic beer (placebo), medium-strength beer, or strong beer. Here are the results of the omnibus ANOVA: Descriptives Descriptives - Attractiveness Alcohol Mean SD N 5.688 4.563 1.352 1.711 Medium 16 Placebo 16 Strong 6.563 0.964 16 ANOVA - Attractiveness Cases Sum of Squares df Mean Square F Alcohol 32.167 2 16.083 8.484 <.001 Residuals 85.312 45 1.896 Note. Type III Sum of Squares Here are the results of planned contrasts for each pair of groups: df Placebo vs. Medium: -2.063 30 0.048 df Placebo vs. Strong: -4.073 30 <.001 df Medium vs. Strong: -2.107 30 0.044 And here are the results of Tukey post hoc comparisons: Post Hoc Comparisons - Alcohol Mean Difference SE Ptukey Placebo Medium -1.125 0.487 -2.311 0.064 Strong -2.000 0.487 -4.108 < .001 Medium Strong -0.875 0.487 -1.797 0.182 Note. P-value adjusted for comparing a family of 3 For which pair(s) of groups did the planned contrasts and post hoc comparisons yield the same decision regarding statistical significance (a = .05)? For which pair(s) of groups did they yield different decisions? If Lauren had no theory-driven hypotheses about which would differ from each other, which set of follow-up analyses (planned contrasts or post hoc comparisons) should be groups used? Based on the follow-up analyses you chose in the previous bullet point, what kind(s) of beer affect perceived attractiveness?
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