T-test: means of Spock's judge versus all other judges 1 12:10 Wednesday, January 5, judge1 N Mean Std Dev Std Err Minimum Maximum

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1 T-test: means of Spock's judge versus all other judges 1 The TTEST Procedure Variable: pcwomen judge1 N Mean Std Dev Std Err Minimum Maximum OTHER SPOCKS Diff (1-2) judge1 Method Mean 95% CL Mean Std Dev OTHER SPOCKS Diff (1-2) Pooled Diff (1-2) Satterthwaite judge1 Method 95% CL Std Dev OTHER SPOCKS Diff (1-2) Pooled Diff (1-2) Satterthwaite Method Variances DF t Value Pr > t Pooled Equal <.0001 Satterthwaite Unequal <.0001 Equality of Variances Method Num DF Den DF F Value Pr > F Folded F Regression: Spock's judge versus all other judges 2 The REG Procedure Model: MODEL1 Number of Observations Read 46 Number of Observations Used 46 Analysis of Variance Mean Source DF Squares Square F Value Pr > F Model <.0001 Error Corrected Total

2 Root MSE R-Square Dependent Mean Adj R-Sq Coeff Var Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > t Intercept <.0001 ispocks <.0001 Regression (GLM): Spock's judge versus all other judges 3 Class Level Information Class Levels Values judge1 2 OTHER SPOCKS Number of Observations Read 46 Number of Observations Used 46 Regression (GLM): Spock's judge versus all other judges 4 Source DF Squares Mean Square F Value Pr > F Model <.0001 Error Corrected Total R-Square Coeff Var Root MSE pcwomen Mean Source DF Type I SS Mean Square F Value Pr > F judge <.0001 Source DF Type III SS Mean Square F Value Pr > F judge <.0001

3 Standard Parameter Estimate Error t Value Pr > t Intercept B <.0001 judge1 OTHER B <.0001 judge1 SPOCKS B... NOTE: The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whose estimates are followed by the letter 'B' are not uniquely estimable. Regression (GLM): Spock's judge versus all other judges 5 Level of pcwomen judge1 N Mean Std Dev OTHER SPOCKS Regression (GLM): Spock's judge versus all other judges 6 Least Squares Means H0:LSMean1= pcwomen LSMean2 judge1 LSMEAN Pr > t OTHER <.0001 SPOCKS Regression: other judges 7 The REG Procedure Model: MODEL1 Number of Observations Read 37 Number of Observations Used 37 Analysis of Variance Mean Source DF Squares Square F Value Pr > F Model Error Corrected Total Root MSE R-Square Dependent Mean Adj R-Sq

4 Coeff Var Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > t Intercept <.0001 ia ib ic id ie Regression (GLM): other judges 8 Class Level Information Class Levels Values judge 6 A B C D E F Number of Observations Read 37 Number of Observations Used 37 Regression (GLM): other judges 9 Source DF Squares Mean Square F Value Pr > F Model Error Corrected Total R-Square Coeff Var Root MSE pcwomen Mean Source DF Type I SS Mean Square F Value Pr > F judge Source DF Type III SS Mean Square F Value Pr > F

5 judge Standard Parameter Estimate Error t Value Pr > t Intercept B <.0001 judge A B judge B B judge C B judge D B judge E B judge F B... NOTE: The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whose estimates are followed by the letter 'B' are not uniquely estimable. Regression (GLM): all judges 10 Class Level Information Class Levels Values judge 7 A B C D E F SPOCKS Number of Observations Read 46 Number of Observations Used 46 Regression (GLM): all judges 11 Source DF Squares Mean Square F Value Pr > F Model <.0001 Error Corrected Total R-Square Coeff Var Root MSE pcwomen Mean Source DF Type I SS Mean Square F Value Pr > F judge <.0001

6 Source DF Type III SS Mean Square F Value Pr > F judge <.0001 Standard Parameter Estimate Error t Value Pr > t Intercept B <.0001 judge A B <.0001 judge B B <.0001 judge C B <.0001 judge D B judge E B judge F B judge SPOCKS B... NOTE: The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whose estimates are followed by the letter 'B' are not uniquely estimable. Regression (GLM): all judges 12 Tukey's Studentized Range (HSD) Test for pcwomen NOTE: This test controls the Type I experimentwise error rate. Alpha 0.05 Error Degrees of Freedom 39 Error Mean Square Critical Value of Studentized Range Comparisons significant at the 0.05 level are indicated by ***. Difference judge Between Simultaneous 95% Comparison Means Confidence Limits A - B A - C A - D A - E A - F A - SPOCKS *** B - A B - C B - D B - E B - F B - SPOCKS *** C - A

7 C - B C - D C - E C - F C - SPOCKS *** D - A D - B D - C D - E D - F D - SPOCKS E - A E - B E - C E - D E - F E - SPOCKS *** F - A F - B Regression (GLM): all judges 13 Tukey's Studentized Range (HSD) Test for pcwomen Comparisons significant at the 0.05 level are indicated by ***. Difference judge Between Simultaneous 95% Comparison Means Confidence Limits F - C F - D F - E F - SPOCKS *** SPOCKS - A *** SPOCKS - B *** SPOCKS - C *** SPOCKS - D SPOCKS - E *** SPOCKS - F *** Regression (GLM): all judges 14 Least Squares Means pcwomen LSMEAN judge LSMEAN Number A B C D E

8 F SPOCKS Least Squares Means for effect judge Pr > t for H0: LSMean(i)=LSMean(j) i/j < < < <.0001 <.0001 < NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. Regression (GLM): all judges 15 Least Squares Means Adjustment for Multiple Comparisons: Tukey-Kramer pcwomen LSMEAN judge LSMEAN Number A B C D E F SPOCKS Least Squares Means for effect judge Pr > t for H0: LSMean(i)=LSMean(j) i/j Regression (GLM): all judges 16

9 Least Squares Means Adjustment for Multiple Comparisons: Bonferroni pcwomen LSMEAN judge LSMEAN Number A B C D E F SPOCKS Least Squares Means for effect judge Pr > t for H0: LSMean(i)=LSMean(j) i/j