Inference on Two Population DATA CARLSBAD; INPUT YEAR COUNT CARDS; ods graphics on; PROC UNIVARIATE DATA=CARLSBAD NORMAL; VAR COUNT; BY YEAR; TITLE 'PROBLEM ASSUMING NORMALITY'; PROC TTEST DATA=CARLSBAD; CLASS YEAR; VAR COUNT; TITLE 'Problem Assuming Normality'; PROC RANK DATA=CARLSBAD OUT=RANKED; VAR COUNT; PROC TTEST DATA=RANKED; CLASS YEAR; VAR COUNT; TITLE 'Wilcoxon-Mann-Whitney test with PROC RANK'; PROC NPAR1WAY data=carlsbad wilcoxon; Class year; Var count; TITLE 'Wilcoxon-Mann-Whitney test with PROC NPAR1WAY'; RUN;ods graphics off; QUIT;

Inference on Two Population PROBLEM ASSUMING NORMALITY YEAR= UNIVARIATE 프로시저 변수 : COUNT 적률 N 7 가중합 7 평균 관측치 합 2764 표준편차 분산 왜도 첨도 제곱합 수정 제곱합 변동계수 평균의 표준오차 위치모수 검정 : Mu0=0 검정 -- 통계량 p 값 스튜던트의 t t Pr > |t| 부호 M 3.5 Pr >= |M| 부호 순위 S 14 Pr >= |S| 정규성 검정 검정 ---- 통계량 p- 값 Shapiro-Wilk W Pr < W Kolmogorov-Smirnov D Pr > D > Cramer-von Mises W-Sq Pr > W-Sq Anderson-Darling A-Sq Pr > A-Sq PROBLEM ASSUMING NORMALITY YEAR= UNIVARIATE 프로시저 변수 : COUNT 적률 N 7 가중합 7 평균 관측치 합 2613 표준편차 분산 왜도 첨도 제곱합 수정 제곱합 변동계수 평균의 표준오차 위치모수 검정 : Mu0=0 검정 -- 통계량 p 값 스튜던트의 t t Pr > |t| 부호 M 3.5 Pr >= |M| 부호 순위 S 14 Pr >= |S| 정규성 검정 검정 ---- 통계량 p- 값 Shapiro-Wilk W Pr < W Kolmogorov-Smirnov D Pr > D Cramer-von Mises W-Sq Pr > W-Sq Anderson-Darling A-Sq Pr > A-Sq <0.0050

Inference on Two Population The TTEST Procedure Variable: COUNT YEAR N Mean Std Dev Std Err Minimum Maximum Diff (1-2) YEAR Method Mean 95% CL Mean Std Dev 95% CL Std Dev Diff (1-2) Pooled Diff (1-2) Satterthwaite Method Variances DF t Value Pr > |t| Pooled Equal Satterthwaite Unequal Equality of Variances Method Num DF Den DF F Value Pr > F Folded F _____________________________________________________________________________________

Inference on Two Population

Wilcoxon-Mann-Whitney test with PROC RANK 6 The TTEST Procedure Variable: COUNT (COUNT 값이 순위별로 교체됨 ) YEAR N Mean Std Dev Std Err Minimum Maximum Diff (1-2) YEAR Method Mean 95% CL Mean Std Dev 95% CL Std Dev Diff (1-2) Pooled Diff (1-2) Satterthwaite Method Variances DF t Value Pr > |t| Pooled Equal Satterthwaite Unequal Equality of Variances Method Num DF Den DF F Value Pr > F Folded F

Inference on Two Population

Problem using Wilcoxon-Mann-Whitney test The NPAR1WAY Procedure Wilcoxon Scores (Rank Sums) for Variable COUNT Classified by Variable YEAR Sum of Expected Std Dev Mean YEAR N Scores Under H0 Under H0 Score Wilcoxon Two-Sample Test Statistic Normal Approximation Z One-Sided Pr > Z Two-Sided Pr > |Z| t Approximation One-Sided Pr > Z Two-Sided Pr > |Z| Z includes a continuity correction of 0.5. Kruskal-Wallis Test Chi-Square DF 1 Pr > Chi-Square

Inference on Two Population