Kwame Nkrumah One Way Analysis of Variance of Acute Otitis Media Dataset Essay: Statistics Answers 2021

Kwame Nkrumah One Way Analysis of Variance of Acute Otitis Media Dataset Essay: Statistics Answers 2021

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Kwame Nkrumah One Way Analysis of Variance of Acute Otitis Media Dataset Essay

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This case assesses Course Objectives
Acute Otitis media, an infection of the middle ear, is a common childhood illness. There
are various ways to treat the problem. To help determine the best way, researchers
conducted an experiment. One hundred and eighty children between 10 months and
two years with recurrent acute otitis media were divided into three equal groups. Group
1 was treated by surgically removing the adenoids (adenoidectomy), the second was
treated with the drug Sulfafurazole, and the third with a placebo. Each child was tracked
for 2 years during which time all symptoms and episodes of acute otitis media were
recorded. (Keller, 9th Edition, p. 588)
Researchers collected data for the following variables: Number of episodes of the
illness, number of visits to a physician because of any illness, number of prescriptions,
number of days with symptoms of respiratory infection. Can the researchers conclude
that there are differences between the three groups with respect to the number of
episodes, number of physician visits, number of prescriptions, and number of days with
symptoms of respiratory infections?
In the attached file, column 1 is an ID number for each child; column 2 is the group
number for each child, and columns 3 through 6 are the responses for the variables
collected.
Conduct the necessary tests to address the researchers? question. You should
use Excel to conduct your analyses and should use ONLY the p-value rule to
make your decision. Do NOT INCLUDE or use critical values to make your
decisions. You do not need to list the 7-step process, just be sure you state your
hypotheses and choose your alpha BEFORE conducting the test and include the pvalue in the text. Write a report to present your findings. Your case write-up must
include (use the rubric for guidance!):
?
?
?
?
?
?
Introduction
A discussion of the analysis you are conducting and why you chose it (my
chosen analysis: one-way ANOVA)
Brief discussion of basic descriptive statistics and check for outliers (use
other data charts: Histogram: set bins to be equal for all, box plots and scatter
plots).
A discussion of your selected alpha and why you chose it (i.e, carefully
consider the consequences of Type I and Type II errors and which would be
worse in terms of this analysis),
The required conditions of the chosen analysis and your analysis of whether
the data meet those conditions
Your analysis of each research hypothesis using a One-Way Analysis of
a Variance (One-Way ANOVA). Be sure to clearly state all hypotheses for
any test you are using in your analysis,
?
?
Number of episodes of illness
Number of visits to a physician because of any illness
?
?
?
Number of prescriptions
Number of days with symptoms of respiratory infection
Discussion of your results and a conclusion. This should not be simply restating the hypothesis test conclusion. Consider your findings and discuss
any implications of those findings. You may make suggestions for further
research or to improve the study.
ID Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
Group
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Episodes
6
2
3
2
4
3
2
4
4
2
4
5
3
6
3
2
4
3
2
3
2
2
1
2
2
3
4
3
3
3
3
2
4
2
3
5
3
3
5
4
2
3
6
2
3
4
7
7
2
3
2
Visits
5
0
2
1
2
3
1
2
4
2
3
4
1
7
2
0
3
2
0
2
0
0
1
1
1
3
2
1
2
3
2
2
2
0
2
3
2
2
5
3
1
1
4
2
1
3
6
7
0
1
2
Prescriptions
6
2
4
2
4
2
2
2
4
2
4
5
4
6
4
2
4
3
4
2
2
3
1
2
2
3
3
3
4
2
4
2
5
4
3
3
3
3
7
3
2
2
6
3
2
4
7
7
1
3
3
Days
22
8
8
5
14
7
6
11
9
7
11
16
10
21
8
9
14
7
7
11
11
8
6
5
8
11
13
11
14
7
12
10
14
7
11
21
11
12
23
13
8
11
20
7
11
12
25
22
10
15
10
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
4
4
2
4
4
4
3
4
3
1
4
4
5
3
3
4
2
2
5
3
2
3
4
5
4
1
4
2
3
4
4
4
2
4
3
4
3
2
2
3
2
5
1
3
1
4
3
2
2
1
3
2
2
3
1
2
2
2
1
4
1
0
4
3
3
2
1
2
1
0
3
3
0
1
4
5
2
1
3
0
3
3
2
2
0
3
1
2
2
2
1
1
2
3
0
1
1
4
1
1
2
0
2
1
5
4
2
4
5
4
2
4
2
0
5
5
5
5
5
4
0
1
7
3
1
1
4
5
2
1
3
4
5
3
5
6
2
3
4
5
4
5
1
2
0
5
2
1
1
6
3
4
2
1
1
5
13
15
9
10
17
12
9
9
7
5
14
20
17
14
12
19
6
7
12
10
7
6
14
16
12
5
17
8
8
16
13
17
7
10
11
16
9
16
9
8
7
22
4
13
6
9
7
10
7
5
13
104
105
106
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109
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148
149
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151
152
153
154
155
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
4
4
3
3
4
1
3
2
3
3
3
4
2
2
3
3
2
3
3
3
3
3
3
5
2
4
4
3
3
2
4
5
5
4
4
3
4
6
2
3
7
3
5
4
6
3
1
2
3
2
4
1
2
3
2
1
3
1
2
1
3
3
1
3
2
2
3
3
2
1
3
3
3
1
1
5
2
2
3
3
1
0
2
4
3
2
3
1
4
6
0
3
6
1
6
3
5
3
2
0
1
2
2
2
4
4
2
1
2
0
2
3
2
3
3
5
2
2
3
4
2
3
2
1
3
5
3
6
3
3
4
5
2
2
5
6
7
4
6
3
4
8
2
3
8
3
6
3
6
4
3
0
1
0
4
6
19
18
14
11
14
7
13
7
9
10
9
14
6
8
12
15
11
9
10
13
7
13
7
19
11
19
11
15
7
8
13
20
18
10
14
10
13
26
8
7
29
10
24
18
27
12
5
11
14
7
15
156
157
158
159
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161
162
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180
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
4
3
4
5
2
3
3
3
3
4
4
2
3
3
1
1
2
4
7
4
5
3
4
3
4
4
1
4
5
0
1
3
2
1
2
4
0
1
3
0
0
0
3
5
3
5
2
4
1
4
3
3
4
6
0
2
4
2
5
2
4
3
2
5
1
1
1
3
5
4
3
2
4
2
4
13
13
19
11
9
15
7
12
9
14
15
10
14
10
5
5
12
10
16
18
17
15
18
13
8
Analysis of Variance Case Grading Rubric
Team Component ? 75 Points
Introduction
(5 points
possible)
Weak Case Analysis
Basic summary of case
story ONLY or pastes in
verbatim from assignment
(1-2 points)
Analysis Process
Analysis
Wrong analysis chosen
justification
and/or no discussion.
(10 points
(1-4 points)
possible)
Numerical
descriptive
statistics and
outlier analysis
(5 points
possible)
Includes only either
descriptive or outlier
discussion. Reports facts
with no discussion.
(1-2 points)
Alpha
justification
(10 points
possible)
Not included or does not
justify in context of the
case; justification indicates
poor understanding.
(1-4 points)
Required
Conditions
analysis
(10 points
possible)
Not included or facts
presented with no analysis;
errors in execution indicate
poor understanding.
(1-4 points)
Average Case Analysis
Missing aspects shown for
excellent.
(3-4 points)
Exemplary Case Analysis
Brief overview of case
story, analysis conducted,
findings, and statement of
paper organization.
(5 points)
Correct analysis chosen,
but justification does not
clearly indicate
understanding of why this
is the correct choice.
(5-7 points)
Correct analysis chosen;
justification clearly
indicates understanding of
chosen technique; If
independent vs blocked,
clearly explains why; If
factorial, clearly explains
factors and levels.
(8-10 points)
Includes proper summary
tables and brief discussion
of numerical statistics for
both central tendency and
variability measures;
Tables are organized
appropriately for chosen
analysis and organized to
facilitate comparison;
Includes outlier analysis
with box plots and
discussion for all variables
organized correctly for
chosen analysis.(5 points)
Defends alpha clearly in
context of case;
justification clearly
indicates understanding of
type I and type II errors;
Explains error types in
context of case; Includes
consequences of possible
decisions made based on
results for both error
types. (8-10 points)
Cleary discussed and
analyzed all required
conditions for chosen
analysis, with no errors in
execution.
(8-10 pts)
Includes summary tables of
only relevant stats that
were discussed, but
organization is not correct
for chosen analysis or does
not clearly facilitate
comparison; Includes only
either central tendency or
variability; Does not
include outlier analysis for
all variables; Does not use
boxplots, but alternative
method is appropriate.
(3-4 points)
Weak justification of alpha;
does not clearly indicate
understanding of type I
and type II errors; Does not
include consequences of
possible decisions made
based on results for both
error types.
(5-7 points)
Basics included with weak
discussion; histograms not
organized appropriately for
chosen analysis; missing
hypotheses or hypotheses
not written with correct
symbols for Bartlett?s test;
no p-values for Bartlett?s
test; Bartlett?s conclusion
stated correctly (not taken
from output); minor errors
in execution. (5-7 points)
Score/comments
Research
Hypothesis
Analysis
(10 points
possible)
Hypotheses not stated
clearly; errors in execution
indicate poor
understanding. (1-4 points)
Minor errors in execution;
missing hypotheses;
hypotheses not written
with correct symbols.
(5-7 points)
Discussion and
Conclusion
(5 points
possible)
Basic summary of paper;
no discussion of findings
(1-2 points)
Basic summary and
discussion of findings
(3-4 points)
Disjointed writing and
arguments; appears to be
written by different people
and just pasted together;
No section headings;
improper use of
appendices.
(1-2 points)
Poorly written to an extent
that clarity is impacted.
(1-2 points)
Somewhat cohesive
presentation, but not fully
integrated; Unclear section
headings; If appendix is
included, it is not used
properly
(3-4 points)
Cohesive, professional
presentation; Descriptive
section headings; If
appendix is included, it is
used properly.
(5 points)
Well written, but some
minor grammatical,
punctuation, or spelling
issues that impact clarity;
Mostly logical flow.
(3-4 points)
Used appropriate statistical
concepts and terminology
but some concern about
conceptual understanding.
(5-7 points)
Very well written with few
grammatical, punctuation,
or spelling issues; Paper
flows logically.
(5 points)
Overall Case
Cohesiveness
and paper
organization
(5 points
possible)
Clarity of
written
communication
(5 points
possible)
Use of
statistical
concepts
(10 points
possible)
Did not use correct
statistical concepts and
terminology. Concern
about conceptual
understanding in many
areas.
(1-4 points)
Clearly stated hypotheses
with correct symbols;
included appropriate pvalues and correct
conclusion.
(8-10 points)
Clear and thorough
discussion of implications
of findings; includes
suggestions for
improvement or further
study.
(5 points)
Use of statistical concepts
and terminology clearly
indicates conceptual
understanding.
(8-10 points)

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