A professor has a class with four recitation groups. Each section has 7 students. Determine 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 77.8 93.9 40.5 86.6 73.4 87.1 65.9 91.5 66.9 74 47.1 87 74.7 99.2 57.1 81.6 75.6 65.7 57.6 92.7 82.4 64.8 74.6 46.1 91 63.8 57.8 86.1 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 follow-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=0.01)? 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? group 1 vs. group 2 group 1 vs. group 3 group 1 vs. group 4 group 2 vs. group 3 group 2 vs. group 4 group 3 vs. group 4 none of the groups are statistically significantly different

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A professor has a class with four recitation groups. Each section has 7 students. Determine 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
77.8	93.9	40.5	86.6
73.4	87.1	65.9	91.5
66.9	74	47.1	87
74.7	99.2	57.1	81.6
75.6	65.7	57.6	92.7
82.4	64.8	74.6	46.1
91	63.8	57.8	86.1

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 follow-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=0.01)?
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?