Results ANOVA ANOVA - Braking Neighborhood Condition Neighborhood * Condition Residuals [3] Sum of Squares df Mean Square 0.125 1 0.125 50.000 1 50.000 55.125 1 55.125 70.750 28 2.527 F 0.0495 19.7880 21.8163 Р n'p 0.826 0.002 <.001 0.414 <.001 0.438

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 16E
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Strayer and colleagues have conducted many studies on the effects of cell phones on driver safety. In a typical study, participants are asked to drive through a neighbourhood in a driving simulator. Occasionally, and obstacle appears (a dog runs into the road, an area is closed off for construction, a traffic light suddenly turns red) and they measure the time required to brake (in seconds). In one study, 32 participants were randomly assigned to drive the route either in silence, or while talking to a confederate on a hands-free cell phone. Half the participants drove through a “novel” neighbourhood they had never seen before, and half drove through a simulation of their own neighbourhood. The JAMOVI analyses of this study are attached.

 

Which of the following is a correct description of the interaction (select all that apply)? in the second image

Estimated Marginal Means
Condition * Neighborhood
Braking
10
4
2
Novel
Familiar
X
Phone
Estimated Marginal Means - Condition * Neighborhood
Neighborhood Condition Mean SE
5.87 0.562
6.00 0.562
8.62
0.562
3.50 0.562
Condition
Phone
Silence
Phone
Silence
Silence
95% Confidence Interval
Upper
7.03
7.15
9.78
4.65
Lower
4.72
4.85
747
2.35
Neighborhood
Familiar
- Novel
O a. Familiarity affected braking times when people were talking on the phone but had no effect on braking time when people drove in silence.
O b. The effect of talking on the phone depends on how familiar the neighbourhood is.
O c. When talking on the phone people were faster to brake in a familiar neighbourhood than a novel neighbourhood, but when driving in silence, they were faster to brake in a novel
neighbourhood than in a familiar neighbourhood.
O d. Talking on the phone impaired braking in the novel neighbourhood but had no effect in a familiar neighbourhood.
Transcribed Image Text:Estimated Marginal Means Condition * Neighborhood Braking 10 4 2 Novel Familiar X Phone Estimated Marginal Means - Condition * Neighborhood Neighborhood Condition Mean SE 5.87 0.562 6.00 0.562 8.62 0.562 3.50 0.562 Condition Phone Silence Phone Silence Silence 95% Confidence Interval Upper 7.03 7.15 9.78 4.65 Lower 4.72 4.85 747 2.35 Neighborhood Familiar - Novel O a. Familiarity affected braking times when people were talking on the phone but had no effect on braking time when people drove in silence. O b. The effect of talking on the phone depends on how familiar the neighbourhood is. O c. When talking on the phone people were faster to brake in a familiar neighbourhood than a novel neighbourhood, but when driving in silence, they were faster to brake in a novel neighbourhood than in a familiar neighbourhood. O d. Talking on the phone impaired braking in the novel neighbourhood but had no effect in a familiar neighbourhood.
Results
ANOVA
ANOVA - Braking
Neighborhood
Condition
Neighborhood * Condition
Residuals
[3]
Assumption Checks
Homogeneity of Variances Test (Levene's)
F
df1 df2
P
1.60
3
0.212
[3]
Normality Test (Shapiro-Wilk)
Statistic
Р
0.672
0.976
28
Post Hoc Tests
Post Hoc Comparisons - Neighborhood Condition
Comparison
Neighborhood Condition
Familiar
Sum of Squares df Mean Square
0.125 1
0.125
50.000
1
50.000
55.125
1
55.125
70.750 28
2.527
Phone
Silence
Phone
Silence
Phone
Silence
Novel
Phone
Silence
Note. Comparisons are based on estimated marginal means
Silence
Neighborhood Condition
Familiar
Novel
Novel
- Novel
Novel
- Novel
F
Р
n'p
0.0495 0.826 0.002
19.7880 <.001 0.414
21.8163 <.001 0.438
Mean
Difference
SE df
t
Р
0.876
0.002
-0.125 0.795 28.0 -0.157
-2.750 0.795 28.0 -3.460
2.375 0.795 28.0 2.988 0.006
-2.625 0.795 28.0 -3.303 0.003
2.500 0.795 28.0 3.145
0.004
5.125
0.795 28.0 6.448
<.001
Cohen's
d
-0.0786
-1.7300
1.4941
1.6514
1.5727
3.2241
Transcribed Image Text:Results ANOVA ANOVA - Braking Neighborhood Condition Neighborhood * Condition Residuals [3] Assumption Checks Homogeneity of Variances Test (Levene's) F df1 df2 P 1.60 3 0.212 [3] Normality Test (Shapiro-Wilk) Statistic Р 0.672 0.976 28 Post Hoc Tests Post Hoc Comparisons - Neighborhood Condition Comparison Neighborhood Condition Familiar Sum of Squares df Mean Square 0.125 1 0.125 50.000 1 50.000 55.125 1 55.125 70.750 28 2.527 Phone Silence Phone Silence Phone Silence Novel Phone Silence Note. Comparisons are based on estimated marginal means Silence Neighborhood Condition Familiar Novel Novel - Novel Novel - Novel F Р n'p 0.0495 0.826 0.002 19.7880 <.001 0.414 21.8163 <.001 0.438 Mean Difference SE df t Р 0.876 0.002 -0.125 0.795 28.0 -0.157 -2.750 0.795 28.0 -3.460 2.375 0.795 28.0 2.988 0.006 -2.625 0.795 28.0 -3.303 0.003 2.500 0.795 28.0 3.145 0.004 5.125 0.795 28.0 6.448 <.001 Cohen's d -0.0786 -1.7300 1.4941 1.6514 1.5727 3.2241
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