please explain step by step. A professor gives an exam to a class with four recitation sections. Each section has 7 students. Theprofessor has no reason to assume that the exam scores would not be independent and normally distributedwith equal variance. However, it is unknown whether or not the section choice (different TAs and differentdays of the week) has any relationship with how students performed on the test. The professor conducts aone-way ANOVA, and finds that Ho should be rejected at a significance level of a0.01.SourceSSdfMSF-ratio P-valueBetween1889.2933629.7645.257 0.0062Within2875.271 24119.803As shown above, the professor finds that F(3,24)occurring randomly. Additionally, the error variance was estimated as MSw = 119.803, and the samplemeans for each group were obtained as shown in the table below.= 5.257, which has a probability of p = 0.0062 ofLevelMeanGroup-1Group-2Group-3Group-488.21487.65769.31474.557The professor decides to use the Tukey HSD method to test all possible pairwise contrasts. To do so, thefollowing table of q; statistics needs to be completed. For this presentation, the groups will be orderedfrom smallest to largest means. (In other words, Group A should be the group with the smallest mean.)First, indicate the appropriate order for the groups (use the group number). Then fill in the table withvalues rounded to 3 decimal places. (Furthermore, even though the sign does not matter, report allcomparison statistics as positive values.)(Note: we often create a table of differences and compare those to HSD. In this case, we need a table of qstatistics, which we will compare to qcritical) Comparison GroupsGroups(ascending order)Group AGroup BGroup CGroup DGroup A = 3%3DGroup B = 4Group C =Group D =1What is the critical value of the studentized range for the Tukey HSD test (a0.01)?AcritMark all pairwise comparisons that are statistically significantgroup A vs. groupВgroup A vs. group Cgroup A vs. group Dgroup B vs. group COgroup B vs. group DgroupC vs. group Dnone of the groups are statistically significantly different

Post hoc tests: When there is significant difference between the means of several treatments, the…

A professor gives an exam to a class with four recitation sections. Each section has 7 students. The professor has no reason to assume that the exam scores would not be independent and normally distributed with equal variance. However, it is unknown whether or not the section choice (different TAs and different days of the week) has any relationship with how students performed on the test. The professor conducts a one-way ANOVA, and finds that Ho should be rejected at a significance level of a = 0.01.

A professor gives an exam to a class with four recitation sections. Each section has 7 students. The professor has no reason to assume that the exam scores would not be independent and normally distributed with equal variance. However, it is unknown whether or not the section choice (different TAs and different days of the week) has any relationship with how students performed on the test. The professor conducts a one-way ANOVA, and finds that Ho should be rejected at a significance level of a = 0.01.

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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Concept explainers

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.

Question

please explain step by step.

A professor gives an exam to a class with four recitation sections. Each section has 7 students. The
professor has no reason to assume that the exam scores would not be independent and normally distributed
with equal variance. However, it is unknown whether or not the section choice (different TAs and different
days of the week) has any relationship with how students performed on the test. The professor conducts a
one-way ANOVA, and finds that Ho should be rejected at a significance level of a
0.01.
Source
SS
df
MS
F-ratio P-value
Between
1889.293
3
629.764
5.257 0.0062
Within
2875.271 24
119.803
As shown above, the professor finds that F(3,24)
occurring randomly. Additionally, the error variance was estimated as MSw = 119.803, and the sample
means for each group were obtained as shown in the table below.
= 5.257, which has a probability of p = 0.0062 of
Level
Mean
Group-1
Group-2
Group-3
Group-4
88.214
87.657
69.314
74.557
The professor decides to use the Tukey HSD method to test all possible pairwise contrasts. To do so, the
following table of q; statistics needs to be completed. For this presentation, the groups will be ordered
from smallest to largest means. (In other words, Group A should be the group with the smallest mean.)
First, indicate the appropriate order for the groups (use the group number). Then fill in the table with
values rounded to 3 decimal places. (Furthermore, even though the sign does not matter, report all
comparison statistics as positive values.)
(Note: we often create a table of differences and compare those to HSD. In this case, we need a table of q
statistics, which we will compare to qcritical)

Comparison Groups
Groups
(ascending order)
Group A
Group B
Group C
Group D
Group A = 3
%3D
Group B = 4
Group C =
Group D =
1
What is the critical value of the studentized range for the Tukey HSD test (a
0.01)?
Acrit
Mark all pairwise comparisons that are statistically significant
group A vs. group
В
group A vs. group C
group A vs. group D
group B vs. group C
Ogroup B vs. group D
group
C vs. group D
none of the groups are statistically significantly different

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