Paired Wilcoxon Rank-Sum Test for Mean Comparison 1
(Also called as Mann-Whitney Test)
14:27 Tuesday, March 30, 2004
Obs Alloy Stress
1 1 3238
2 1 3254
3 1 3195
4 1 3229
5 1 3246
6 1 3225
7 1 3190
8 1 3217
9 1 3204
10 1 3241
11 2 3261
12 2 3248
13 2 3187
14 2 3215
15 2 3209
16 2 3226
17 2 3212
18 2 3240
19 2 3258
20 2 3234
Paired Wilcoxon Rank-Sum Test for Mean Comparison 2
(Also called as Mann-Whitney Test)
14:27 Tuesday, March 30, 2004
The NPAR1WAY Procedure
Wilcoxon Scores (Rank Sums) for Variable Stress
Classified by Variable Alloy
Sum of Expected Std Dev Mean
Alloy N Scores Under H0 Under H0 Score
---------------------------------------------------------------------
1 10 99.0 105.0 13.228757 9.90
2 10 111.0 105.0 13.228757 11.10
Wilcoxon Two-Sample Test
Statistic 99.0000
Normal Approximation
Z -0.4158
One-Sided Pr < Z 0.3388
Two-Sided Pr > |Z| 0.6776
t Approximation
One-Sided Pr < Z 0.3411
Two-Sided Pr > |Z| 0.6822
Z includes a continuity correction of 0.5.
Kruskal-Wallis Test
Chi-Square 0.2057
DF 1
Pr > Chi-Square 0.6501
Paired Wilcoxon Rank-Sum Test for Mean Comparison 3
(Also called as Mann-Whitney Test)
14:27 Tuesday, March 30, 2004
The NPAR1WAY Procedure
Median Scores (Number of Points Above Median) for Variable Stress
Classified by Variable Alloy
Sum of Expected Std Dev Mean
Alloy N Scores Under H0 Under H0 Score
---------------------------------------------------------------------
1 10 5.0 5.0 1.147079 0.50
2 10 5.0 5.0 1.147079 0.50
Median Two-Sample Test
Statistic 5.0000
Z 0.0000
One-Sided Pr < Z 0.5000
Two-Sided Pr > |Z| 1.0000
Median One-Way Analysis
Chi-Square 0.0000
DF 1
Pr > Chi-Square 1.0000
Paired Wilcoxon Rank-Sum Test for Mean Comparison 4
(Also called as Mann-Whitney Test)
14:27 Tuesday, March 30, 2004
The NPAR1WAY Procedure
Kolmogorov-Smirnov Test for Variable Stress
Classified by Variable Alloy
EDF at Deviation from Mean
Alloy N Maximum at Maximum
--------------------------------------------------
1 10 0.30 0.316228
2 10 0.10 -0.316228
Total 20 0.20
Maximum Deviation Occurred at Observation 9
Value of Stress at Maximum = 3204.0
Kolmogorov-Smirnov Two-Sample Test (Asymptotic)
KS 0.100000 D 0.200000
KSa 0.447214 Pr > KSa 0.9883
Cramer-von Mises Test for Variable Stress
Classified by Variable Alloy
Summed Deviation
Alloy N from Mean
-----------------------------------------
1 10 0.02750
2 10 0.02750
Cramer-von Mises Statistics (Asymptotic)
CM 0.002750 CMa 0.055000
Kuiper Test for Variable Stress
Classified by Variable Alloy
Deviation
Alloy N from Mean
-------------------------------
1 10 0.20
2 10 0.10
Kuiper Two-Sample Test (Asymptotic)
K 0.300000 Ka 0.670820 Pr > Ka 0.9986