1 EXAMPLE 18. KRUSKAL-WALLIS PROCEDURE: PRETHERAPY DATA 1 17:13 Sunday, December 30, 2001 The NPAR1WAY Procedure Analysis of Variance for Variable SCORE Classified by Variable METHOD METHOD N Mean ---------------------------------------- C 9 8.666667 TR 9 12.222222 VTP 9 11.000000 RII 9 17.000000 Source DF Sum of Squares Mean Square F Value Pr > F ------------------------------------------------------------------- Among 3 332.666667 110.888889 1.6251 0.2030 Within 32 2183.555556 68.236111 Average scores were used for ties. 1 EXAMPLE 18. KRUSKAL-WALLIS PROCEDURE: PRETHERAPY DATA 2 17:13 Sunday, December 30, 2001 The NPAR1WAY Procedure Wilcoxon Scores (Rank Sums) for Variable SCORE Classified by Variable METHOD Sum of Expected Std Dev Mean METHOD N Scores Under H0 Under H0 Score ---------------------------------------------------------------------- C 9 125.50 166.50 27.324832 13.944444 TR 9 168.50 166.50 27.324832 18.722222 VTP 9 156.00 166.50 27.324832 17.333333 RII 9 216.00 166.50 27.324832 24.000000 Average scores were used for ties. Kruskal-Wallis Test Chi-Square 4.2646 DF 3 Pr > Chi-Square 0.2343 1 EXAMPLE 18. KRUSKAL-WALLIS PROCEDURE: PRETHERAPY DATA 3 17:13 Sunday, December 30, 2001 The NPAR1WAY Procedure Median Scores (Number of Points Above Median) for Variable SCORE Classified by Variable METHOD Sum of Expected Std Dev Mean METHOD N Scores Under H0 Under H0 Score ---------------------------------------------------------------------- C 9 3.0 4.50 1.317465 0.333333 TR 9 4.0 4.50 1.317465 0.444444 VTP 9 4.0 4.50 1.317465 0.444444 RII 9 7.0 4.50 1.317465 0.777778 Average scores were used for ties. Median One-Way Analysis Chi-Square 3.8889 DF 3 Pr > Chi-Square 0.2737 1 EXAMPLE 18. KRUSKAL-WALLIS PROCEDURE: PRETHERAPY DATA 4 17:13 Sunday, December 30, 2001 The NPAR1WAY Procedure Van der Waerden Scores (Normal) for Variable SCORE Classified by Variable METHOD Sum of Expected Std Dev Mean METHOD N Scores Under H0 Under H0 Score ---------------------------------------------------------------------- C 9 -3.450514 0.0 2.400056 -0.383390 TR 9 -0.091623 0.0 2.400056 -0.010180 VTP 9 -1.197242 0.0 2.400056 -0.133027 RII 9 4.739379 0.0 2.400056 0.526598 Average scores were used for ties. Van der Waerden One-Way Analysis Chi-Square 4.6625 DF 3 Pr > Chi-Square 0.1982 1 EXAMPLE 18. KRUSKAL-WALLIS PROCEDURE: PRETHERAPY DATA 5 17:13 Sunday, December 30, 2001 The NPAR1WAY Procedure Savage Scores (Exponential) for Variable SCORE Classified by Variable METHOD Sum of Expected Std Dev Mean METHOD N Scores Under H0 Under H0 Score ---------------------------------------------------------------------- C 9 -2.792250 0.0 2.474717 -0.310250 TR 9 -0.868130 0.0 2.474717 -0.096459 VTP 9 -2.308916 0.0 2.474717 -0.256546 RII 9 5.969296 0.0 2.474717 0.663255 Average scores were used for ties. Savage One-Way Analysis Chi-Square 6.0637 DF 3 Pr > Chi-Square 0.1086 1 EXAMPLE 18. KRUSKAL-WALLIS PROCEDURE: PRETHERAPY DATA 6 17:13 Sunday, December 30, 2001 The NPAR1WAY Procedure Kolmogorov-Smirnov Test for Variable SCORE Classified by Variable METHOD EDF at Deviation from Mean METHOD N Maximum at Maximum --------------------------------------------------- C 9 0.888889 0.500000 TR 9 0.666667 -0.166667 VTP 9 0.888889 0.500000 RII 9 0.444444 -0.833333 Total 36 0.722222 Maximum Deviation Occurred at Observation 26 Value of SCORE at Maximum = 17.0 Kolmogorov-Smirnov Statistics (Asymptotic) KS 0.184257 KSa 1.105542 Cramer-von Mises Test for Variable SCORE Classified by Variable METHOD Summed Deviation METHOD N from Mean ---------------------------------------- C 9 0.216049 TR 9 0.041667 VTP 9 0.067901 RII 9 0.291667 Cramer-von Mises Statistics (Asymptotic) CM 0.017147 CMa 0.617284