
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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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- . What are the values of SS and variance s? for the following sample of n=3 scores? Sample: 1, 4, 7arrow_forwardand if the scores A set of 10 scores has SS= 90. If the scores are a sample, the sample variance is are a population, the population variance is O 2 - 10: ? = 10arrow_forwardThe role of the covariate is to: a.Compare variables of interest without a nuisance variable masking true differences. b.Reduce within-wroup error variance and help eliminate confounding variable bias. c.To determine the predictive power of the independent variable using odds d.A & Barrow_forward
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