Some rows in data are intentionally missing. Not all colours have the same sample size. Thank-you! Data: also data in excel attached as an image. Blue 54.73 54.92 51.81 46.02 48.73 51.06 46.04 52.92 48.75 51.79 53.69 54.42 52.18 50.03 50.33 52.36 46.54 50.11 53.19 51.56 48.77 52.8 48.96   Red 53.88 59.14 57.13 54.72 55.66 54.85 53.35 55.96 53.69 50.39 53.15 51.73 57.28 51.33 54.65 55.57   White 50.85 55.75 52.85 56.73 49.89 49.45 52.63 51.96 50.88 50.37 50.22   Yellow 48.88 50.69 47.61 46.52 45.27 46.12 46.51 43.76 46.98 46.41 49.42 42.26 55.73 47.85 48.33 51 43.26 44.15

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question

Some rows in data are intentionally missing. Not all colours have the same sample size. Thank-you!

Data: also data in excel attached as an image.

Blue
54.73
54.92
51.81
46.02
48.73
51.06
46.04
52.92
48.75
51.79
53.69
54.42
52.18
50.03
50.33
52.36
46.54
50.11
53.19
51.56
48.77
52.8
48.96

 

Red
53.88
59.14
57.13
54.72
55.66
54.85
53.35
55.96
53.69
50.39
53.15
51.73
57.28
51.33
54.65
55.57

 

White
50.85
55.75
52.85
56.73
49.89
49.45
52.63
51.96
50.88
50.37
50.22

 

Yellow
48.88
50.69
47.61
46.52
45.27
46.12
46.51
43.76
46.98
46.41
49.42
42.26
55.73
47.85
48.33
51
43.26
44.15
A
C
D
E
1
Blue
Red
White
Yellow
2
1
54.73
53.88
50.85
48.88
3
2
54.92
59.14
55.75
50.69
4
3
51.81
57.13
52.85
47.61
4
46.02
54.72
56.73
46.52
6
5
48.73
55.66
49.89
45.27
7
6
51.06
54.85
49.45
46.12
8
7
46.04
53.35
52.63
46.51
9
8
52.92
55.96
51.96
43.76
10
48.75
53.69
50.88
46.98
11
10
51.79
50.39
50.37
46.41
12
11
53.69
53.15
50.22
49.42
13
12
54.42
51.73
42.26
14
13
52.18
57.28
55.73
15
14
50.03
51.33
47.85
16
15
50.33
54.65
48.33
17
16
52.36
55.57
51
18
17
46.54
43.26
19
18
50.11
44.15
20
19
53.19
21
20
51.56
22
21
48.77
23
22
52.8
24
23
48.96
25
B
Transcribed Image Text:A C D E 1 Blue Red White Yellow 2 1 54.73 53.88 50.85 48.88 3 2 54.92 59.14 55.75 50.69 4 3 51.81 57.13 52.85 47.61 4 46.02 54.72 56.73 46.52 6 5 48.73 55.66 49.89 45.27 7 6 51.06 54.85 49.45 46.12 8 7 46.04 53.35 52.63 46.51 9 8 52.92 55.96 51.96 43.76 10 48.75 53.69 50.88 46.98 11 10 51.79 50.39 50.37 46.41 12 11 53.69 53.15 50.22 49.42 13 12 54.42 51.73 42.26 14 13 52.18 57.28 55.73 15 14 50.03 51.33 47.85 16 15 50.33 54.65 48.33 17 16 52.36 55.57 51 18 17 46.54 43.26 19 18 50.11 44.15 20 19 53.19 21 20 51.56 22 21 48.77 23 22 52.8 24 23 48.96 25 B
Does the color of your team uniform affect your performance? That's what researchers in England claimed, after studying data from 68 soccer teams over 56 seasons.
On average, teams wearing red won 54.5%, of their home games; blue won 50.9%, white won 52.0%, and teams wearing yellow won only 47.3%. The researchers compared the performance of teams wearing four different color groups (blue, yellow, red, white).
You have seen two groups compared before, but how do we compare means across four different groups?
The data can be found in the Download .csv file. Use a = 0.05 for any statistical tests.
(a) Perform Levene's test of common variance (homoscedasticity) and report the P-value.
P-value=
(use three decimals).
(b) Complete the following one-way ANOVA table. (for each entry use three decimals).
Source
DF
SS
MS
F
P-value
Between
Within
total
(c) Perform a Tukey HSD, Post Hoc analysis. Use a 95% confidence level.
When looking at the difference: Hyellow -H Blue the lower limit for the difference is
(use four decimals) and the upper limit is
(use four decimals). Based on the data the winning proportion of first colour listed is ?
v then the second color listed.
(d) Based only on the correct ANOVA and Post Hoc analysis of the above data, does the colour of jersey influence the outcome? ?
Transcribed Image Text:Does the color of your team uniform affect your performance? That's what researchers in England claimed, after studying data from 68 soccer teams over 56 seasons. On average, teams wearing red won 54.5%, of their home games; blue won 50.9%, white won 52.0%, and teams wearing yellow won only 47.3%. The researchers compared the performance of teams wearing four different color groups (blue, yellow, red, white). You have seen two groups compared before, but how do we compare means across four different groups? The data can be found in the Download .csv file. Use a = 0.05 for any statistical tests. (a) Perform Levene's test of common variance (homoscedasticity) and report the P-value. P-value= (use three decimals). (b) Complete the following one-way ANOVA table. (for each entry use three decimals). Source DF SS MS F P-value Between Within total (c) Perform a Tukey HSD, Post Hoc analysis. Use a 95% confidence level. When looking at the difference: Hyellow -H Blue the lower limit for the difference is (use four decimals) and the upper limit is (use four decimals). Based on the data the winning proportion of first colour listed is ? v then the second color listed. (d) Based only on the correct ANOVA and Post Hoc analysis of the above data, does the colour of jersey influence the outcome? ?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman