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## ECON 2300 Loyola Marymount University Analysis of Variance Exercises Worksheet I have two worksheet that have like 2 or 3 exercises and I need solvedOneway

ECON 2300 Loyola Marymount University Analysis of Variance Exercises Worksheet I have two worksheet that have like 2 or 3 exercises and I need solvedOneway Anova using Fisher’s Analysis of VarianceUsing Fisher’s method to answer the question.I have the exercises and will attach them Week of March 23
Preliminary:
Then:
Chapter 10: One Way Analysis of Variance
Read pp. 157 – 171 of our Daniels.
Go through Ch 10 PowerPoint which is posted in Contents
Commit to Memory the Stata command for oneway ANOVA:
. oneway y
x, tabulate
An experiment is conducted using n = 12 statistics students and three-levels of caffeine, T1 T2 T3
Each treatment being one, two or three cups of espresso. Below are the results. For example, student
1 in the T1 treatment solved 2 problems in a given time period. The last student in T3 solved 5 problems
in the time frame.
Query: Use Fisher’s Analysis of Variance to investigate the effectiveness of caffeine on problem
solving: Please show the calculations for the F test and mark the critical value on the graph.
T1 T2 T3
__________
2
3
4
3
4
5
4
5
6
3
4
5
_________
Ho:
H 1:
Hint: display Ftail(df1, df2, F) with the degrees of freedom and calculated F value in order to
determine the p-value.

Accept Ho
Reject Ho
p-value =
Introduction to Fisher’s Analysis of Variance
Dr. Konow , Chair of the LMU Economics department wishes to compare the
productivity – as measured by the number of students counseled per semester- among
three of his charges. Below are the statistics for the past four semesters for each of
the counselors.
Dr_Zaki Umaga Tukey
55
66
47
54
76
51
59
67
46
56
71
48
Economics department tutor Alex Rhodes presented Dr. K with the following Minitab
printout.
1. Understand the intuition behind this anova output.
2. And … be able to apply Sir Ronald’s 5-step method to answer Dr. K’s query.
One-way ANOVA: Dr_Zaki, Umaga, Tukey
Source
DF
Factor
2
992.0
Error
9
90.0
Total
11
1082.0
S = 3.162
Level
Dr_Zaki
Umaga
Tukey
SS
MS
496.0
Mean
56.000
70.000
48.000
Pooled StDev = 3.162
P
49.60
0.000
10.0
R-Sq = 91.68%
N
4
4
4
F
StDev
2.160
4.546
2.160
Individual 95% CIs For Mean Based on
Pooled StDev
—-+———+———+———+—-(—*—)
(—-*—)
(—*—)
—-+———+———+———+—-48.0
56.0
64.0
72.0
Exercise(pun intended) : Below are the results of three methods of losing
weight: exercise alone, portion control and a combination of both. Each method had four
people as subjects.
Use Minitab and the Fisher method to investigate whether or not there was a difference
in the amount of weight lost for each method (= treatment).
exercise portion_control
6
4
5
7
5
6
8
7
both
17
13
16
16