b. Using the paired t-test, determine if there is a significant difference between the means when the boards were outside versus inside the chamber. c. Does the analysis in part (b) lead to the same conclusion as the Wilcoxon signed-rank test? Why or why not?  The Wilcoxon Signed Rank test is an option on the matched pairs output (red triangle).

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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b. Using the paired t-test, determine if there is a significant difference between the means when the boards were outside versus inside the chamber.

c. Does the analysis in part (b) lead to the same conclusion as the Wilcoxon signed-rank test? Why or why not?  The Wilcoxon Signed Rank test is an option on the matched pairs output (red triangle).  

Matched Pairs
4 Difference: inside-outside
Across Groups
Mean
board Count Difference Mean Mean
2.95
12
13
14
15
16
17
18
19
20
21
22
23
24
1
1
1
1
1
1
1
Prob>ISI
Prob>S
Prob<S
1
1
1
1
1
1
Test Across
Groups
Mean Difference
Mean Mean
1.82
0.17
0.31
0.11
-2.92
1.92
0.16
-0.83
0.9
0.82
0.54
0.3
-2.8
Wilcoxon Signed Rank
inside-
outside
Test Statistic S 86.000
0.0106*
0.0053*
0.9947
0.645
0.575
0.785
12.92
4.39
4.85
7.915
2.23
5.85
1.83
1.47
6.19
F Ratio Prob>F
Within Pairs Y Axis
Among Pairs X Axis
Transcribed Image Text:Matched Pairs 4 Difference: inside-outside Across Groups Mean board Count Difference Mean Mean 2.95 12 13 14 15 16 17 18 19 20 21 22 23 24 1 1 1 1 1 1 1 Prob>ISI Prob>S Prob<S 1 1 1 1 1 1 Test Across Groups Mean Difference Mean Mean 1.82 0.17 0.31 0.11 -2.92 1.92 0.16 -0.83 0.9 0.82 0.54 0.3 -2.8 Wilcoxon Signed Rank inside- outside Test Statistic S 86.000 0.0106* 0.0053* 0.9947 0.645 0.575 0.785 12.92 4.39 4.85 7.915 2.23 5.85 1.83 1.47 6.19 F Ratio Prob>F Within Pairs Y Axis Among Pairs X Axis
Matched Pairs
Difference: inside-outside
3-
Difference: inside-outside
2
-2
-3
0
Upper 95%
Lower 95%
N
20
22
23
inside
outside
Mean Difference
Std Error
18
21
5
Mean: (inside+outside)/2
19
2.90667 t-Ratio
2.47333 DF
0.43333 Prob > t
0.26123 Probt
24
0.94059
Correlation
4 Across Groups
10
1.65884
23
0.97372 Prob t 0.9446
-0.1071
0.1107
0.0554
Mean
board Count Difference Mean Mean
15
pa
I
Transcribed Image Text:Matched Pairs Difference: inside-outside 3- Difference: inside-outside 2 -2 -3 0 Upper 95% Lower 95% N 20 22 23 inside outside Mean Difference Std Error 18 21 5 Mean: (inside+outside)/2 19 2.90667 t-Ratio 2.47333 DF 0.43333 Prob > t 0.26123 Probt 24 0.94059 Correlation 4 Across Groups 10 1.65884 23 0.97372 Prob t 0.9446 -0.1071 0.1107 0.0554 Mean board Count Difference Mean Mean 15 pa I
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