Has a čláss with four recitation sections. Each section has 7 students (rare, but there are exactly the same number in each clas...how convenient for our purposes, yes?). At first glance, the professor has no reason to assume that these exam scores from the first test would not be independent and normally distributed with equal variance. However, the question is whether or not the section choice (different TAs and different days of the week) has any relationship with how students performed on the test. Group-1 Group-2 Group-3 Group-4 76.9 60.5 75.5 70.7 78.1 71.3 78.7 102.2 71.4 54.5 80.1 67.3 72.6 56.1 82.8 89.5 74.1 71.8 68.1 72.9 68.9 68.1 81.7 70.5 67.6 62.2 68.8 92.1

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A professor has a class with four recitation sections. Each section has 7 students (rare, but there are
exactly the same number in each class...how convenient for our purposes, yes?). At first glance, the
professor has no reason to assume that these exam scores from the first test would not be
independent and normally distributed with equal variance. However, the question is whether or not
the section choice (different TAS and different days of the week) has any relationship with how
students performed on the test.
Group-1
Group-2 Group-3 Group-4
76.9
60.5
75.5
70.7
78.1
71.3
78,7
102.2
71.4
54.5
80.1
67.3
72.6
56.1
82.8
89.5
74.1
71.8
68.1
72.9
68.9
68.1
81.7
70.5
67.6
62.2
68.8
92.1
First, run an ANOVA with this data and fill in the summary table. (Report P-values accurate to 4
decimal places and all other values accurate to 3 decimal places.
Source
SS
df
MS
F-ratio
P-value
Between
Within
To follo.v-up, the professor decides to use the Tukey-Kramer method to test all possible pairwise
contrasts,
What is the Q critical value for the Tukey-Kramer critical range (alpha=D0.01)?
Use the table below to locate the Q critical value to 4 decimal places.
Q =
Using the critical value above, compute the critical range and then determine which pairwise
comparisons are statistically significant?
O group 1 vs. group 2
O group 1 vs. group 3
O group 1 vs. group 4
O group 2 vs. group 3
Ogroup 2 vs. group 4
O groun3 v.
Transcribed Image Text:A professor has a class with four recitation sections. Each section has 7 students (rare, but there are exactly the same number in each class...how convenient for our purposes, yes?). At first glance, the professor has no reason to assume that these exam scores from the first test would not be independent and normally distributed with equal variance. However, the question is whether or not the section choice (different TAS and different days of the week) has any relationship with how students performed on the test. Group-1 Group-2 Group-3 Group-4 76.9 60.5 75.5 70.7 78.1 71.3 78,7 102.2 71.4 54.5 80.1 67.3 72.6 56.1 82.8 89.5 74.1 71.8 68.1 72.9 68.9 68.1 81.7 70.5 67.6 62.2 68.8 92.1 First, run an ANOVA with this data and fill in the summary table. (Report P-values accurate to 4 decimal places and all other values accurate to 3 decimal places. Source SS df MS F-ratio P-value Between Within To follo.v-up, the professor decides to use the Tukey-Kramer method to test all possible pairwise contrasts, What is the Q critical value for the Tukey-Kramer critical range (alpha=D0.01)? Use the table below to locate the Q critical value to 4 decimal places. Q = Using the critical value above, compute the critical range and then determine which pairwise comparisons are statistically significant? O group 1 vs. group 2 O group 1 vs. group 3 O group 1 vs. group 4 O group 2 vs. group 3 Ogroup 2 vs. group 4 O groun3 v.
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