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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 P-value DF MS Between |田 Within a) larger than b) smaller than c) the exact same as d) not statistically different than total (c) Perform a Tukey HSD, Post Hoc analysis. Use a 95% confidence level. When looking at the difference: Hyellose-HBlue 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. a) yes (d) Based only on the correct ANOVA and Post Hoc analysis of the above data, does the colour of jersey influence the outcome? ? b) no

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 P-value DF MS Between |田 Within a) larger than b) smaller than c) the exact same as d) not statistically different than total (c) Perform a Tukey HSD, Post Hoc analysis. Use a 95% confidence level. When looking at the difference: Hyellose-HBlue 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. a) yes (d) Based only on the correct ANOVA and Post Hoc analysis of the above data, does the colour of jersey influence the outcome? ? b) no

MATLAB: An Introduction with Applications
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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Data:

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 a) larger than b) smaller than c) the exact same as d) not statistically different than 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. а) yes b) no (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 a) larger than b) smaller than c) the exact same as d) not statistically different than 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. а) yes b) no (d) Based only on the correct ANOVA and Post Hoc analysis of the above data, does the colour of jersey influence the outcome? ?
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