1 EXAMPLE 16. ONE-WAY FIXED-EFFECTS ANOVA MODEL: VENEER DATA 1 15:16 Tuesday, July 31, 2001 Obs N BRAND WEAR 1 1 ACME 2.3 2 2 ACME 2.1 3 3 ACME 2.4 4 4 ACME 2.5 5 5 CHAMP 2.2 6 6 CHAMP 2.3 7 7 CHAMP 2.4 8 8 CHAMP 2.6 9 9 AJAX 2.2 10 10 AJAX 2.0 11 11 AJAX 1.9 12 12 AJAX 2.1 13 13 TUFFY 2.4 14 14 TUFFY 2.7 15 15 TUFFY 2.6 16 16 TUFFY 2.7 17 17 XTRA 2.3 18 18 XTRA 2.5 19 19 XTRA 2.3 20 20 XTRA 2.4 1 EXAMPLE 16. ONE-WAY FIXED-EFFECTS ANOVA MODEL: VENEER DATA 2 15:16 Tuesday, July 31, 2001 The ANOVA Procedure Class Level Information Class Levels Values BRAND 5 ACME AJAX CHAMP TUFFY XTRA Number of observations 20 1 EXAMPLE 16. ONE-WAY FIXED-EFFECTS ANOVA MODEL: VENEER DATA 3 15:16 Tuesday, July 31, 2001 The ANOVA Procedure Dependent Variable: WEAR Sum of Source DF Squares Mean Square F Value Model 4 0.61700000 0.15425000 7.40 Error 15 0.31250000 0.02083333 Corrected Total 19 0.92950000 Source Pr > F Model 0.0017 Error Corrected Total R-Square Coeff Var Root MSE WEAR Mean 0.663798 6.155120 0.144338 2.345000 Source DF Anova SS Mean Square F Value BRAND 4 0.61700000 0.15425000 7.40 Source Pr > F BRAND 0.0017 1 EXAMPLE 16. ONE-WAY FIXED-EFFECTS ANOVA MODEL: VENEER DATA 4 15:16 Tuesday, July 31, 2001 The ANOVA Procedure t Tests (LSD) for WEAR NOTE: This test controls the Type I comparisonwise error rate, not the experimentwise error rate. Alpha 0.05 Error Degrees of Freedom 15 Error Mean Square 0.020833 Critical Value of t 2.13145 Least Significant Difference 0.2175 Means with the same letter are not significantly different. t Grouping Mean N BRAND A 2.6000 4 TUFFY B 2.3750 4 XTRA B B 2.3750 4 CHAMP B B 2.3250 4 ACME C 2.0500 4 AJAX 1 EXAMPLE 16. ONE-WAY FIXED-EFFECTS ANOVA MODEL: VENEER DATA 5 15:16 Tuesday, July 31, 2001 The ANOVA Procedure Level of -------------WEAR------------ BRAND N Mean Std Dev ACME 4 2.32500000 0.17078251 AJAX 4 2.05000000 0.12909944 CHAMP 4 2.37500000 0.17078251 TUFFY 4 2.60000000 0.14142136 XTRA 4 2.37500000 0.09574271 1 EXAMPLE 16. ONE-WAY FIXED-EFFECTS ANOVA MODEL: VENEER DATA 6 15:16 Tuesday, July 31, 2001 The GLM Procedure Class Level Information Class Levels Values BRAND 5 ACME AJAX CHAMP TUFFY XTRA Number of observations 20 1 EXAMPLE 16. ONE-WAY FIXED-EFFECTS ANOVA MODEL: VENEER DATA 7 15:16 Tuesday, July 31, 2001 The GLM Procedure Dependent Variable: WEAR Sum of Source DF Squares Mean Square F Value Model 4 0.61700000 0.15425000 7.40 Error 15 0.31250000 0.02083333 Corrected Total 19 0.92950000 Source Pr > F Model 0.0017 Error Corrected Total R-Square Coeff Var Root MSE WEAR Mean 0.663798 6.155120 0.144338 2.345000 Source DF Type I SS Mean Square F Value BRAND 4 0.61700000 0.15425000 7.40 Source Pr > F BRAND 0.0017 Source DF Type III SS Mean Square F Value BRAND 4 0.61700000 0.15425000 7.40 Source Pr > F BRAND 0.0017 Contrast DF Contrast SS Mean Square F Value US VS FOREIGN 1 0.27075257 0.27075257 13.00 US VS FOREIGN 1 0.27075000 0.27075000 13.00 ALINE VS CLINE 1 0.09375000 0.09375000 4.50 Contrast Pr > F US VS FOREIGN 0.0026 US VS FOREIGN 0.0026 ALINE VS CLINE 0.0510 1 EXAMPLE 16. ONE-WAY FIXED-EFFECTS ANOVA MODEL: VENEER DATA 8 15:16 Tuesday, July 31, 2001 The GLM Procedure Dependent Variable: WEAR Contrast DF Contrast SS Mean Square F Value ACME VS AJAX 1 0.15125000 0.15125000 7.26 TUFFY VS XTRA 1 0.10125000 0.10125000 4.86 US VS FOREIGN 1 0.27075000 0.27075000 13.00 ALINE VS CLINE 1 0.09375000 0.09375000 4.50 ACME VS AJAX 1 0.15125000 0.15125000 7.26 TUFFY VS XTRA 1 0.10125000 0.10125000 4.86 US BRANDS 2 0.24500000 0.12250000 5.88 Contrast Pr > F ACME VS AJAX 0.0166 TUFFY VS XTRA 0.0435 US VS FOREIGN 0.0026 ALINE VS CLINE 0.0510 ACME VS AJAX 0.0166 TUFFY VS XTRA 0.0435 US BRANDS 0.0130 Standard Parameter Estimate Error t Value Pr > |t| ACME VS AJAX 0.27500000 0.10206207 2.69 0.0166 US AVERAGE 2.25000000 0.04166667 54.00 <.0001