The SAS System 1 13:04 Tuesday, March 20, 2018 -------------------------------- category=1 -------------------------------- The GLM Procedure Class Level Information Class Levels Values store 6 1 2 3 4 5 6 week 6 1 2 3 4 5 6 shelfspace 6 4 6 8 10 12 14 Number of Observations Read 36 Number of Observations Used 36 The SAS System 2 13:04 Tuesday, March 20, 2018 -------------------------------- category=1 -------------------------------- The GLM Procedure Dependent Variable: sales Sum of Source DF Squares Mean Square F Value Pr > F Model 15 55037.08333 3669.13889 10.32 <.0001 Error 20 7113.66667 355.68333 Corrected Total 35 62150.75000 R-Square Coeff Var Root MSE sales Mean 0.885542 19.80007 18.85957 95.25000 Source DF Type I SS Mean Square F Value Pr > F store 5 44455.91667 8891.18333 25.00 <.0001 week 5 3450.25000 690.05000 1.94 0.1324 shelfspace 5 7130.91667 1426.18333 4.01 0.0111 Source DF Type III SS Mean Square F Value Pr > F store 5 44455.91667 8891.18333 25.00 <.0001 week 5 3450.25000 690.05000 1.94 0.1324 shelfspace 5 7130.91667 1426.18333 4.01 0.0111 The SAS System 3 13:04 Tuesday, March 20, 2018 -------------------------------- category=1 -------------------------------- The GLM Procedure Tukey's Studentized Range (HSD) Test for sales NOTE: This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ. Alpha 0.05 Error Degrees of Freedom 20 Error Mean Square 355.6833 Critical Value of Studentized Range 4.44524 Minimum Significant Difference 34.226 Means with the same letter are not significantly different. Tukey Grouping Mean N shelfspace A 120.67 6 12 A B A 101.83 6 10 B A B A 99.33 6 14 B A B A 88.00 6 6 B B 83.50 6 8 B B 78.17 6 4 The SAS System 4 13:04 Tuesday, March 20, 2018 -------------------------------- category=1 -------------------------------- The GLM Procedure Bonferroni (Dunn) t Tests for sales NOTE: This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ. Alpha 0.05 Error Degrees of Freedom 20 Error Mean Square 355.6833 Critical Value of t 3.33064 Minimum Significant Difference 36.266 Means with the same letter are not significantly different. Bon Grouping Mean N shelfspace A 120.67 6 12 A B A 101.83 6 10 B A B A 99.33 6 14 B A B A 88.00 6 6 B B 83.50 6 8 B B 78.17 6 4 The SAS System 5 13:04 Tuesday, March 20, 2018 -------------------------------- category=2 -------------------------------- The GLM Procedure Class Level Information Class Levels Values store 6 1 2 3 4 5 6 week 6 1 2 3 4 5 6 shelfspace 6 2 4 6 8 10 12 Number of Observations Read 36 Number of Observations Used 36 The SAS System 6 13:04 Tuesday, March 20, 2018 -------------------------------- category=2 -------------------------------- The GLM Procedure Dependent Variable: sales Sum of Source DF Squares Mean Square F Value Pr > F Model 15 9663.33333 644.22222 8.66 <.0001 Error 20 1487.66667 74.38333 Corrected Total 35 11151.00000 R-Square Coeff Var Root MSE sales Mean 0.866589 18.54748 8.624577 46.50000 Source DF Type I SS Mean Square F Value Pr > F store 5 8286.666667 1657.333333 22.28 <.0001 week 5 981.666667 196.333333 2.64 0.0546 shelfspace 5 395.000000 79.000000 1.06 0.4103 Source DF Type III SS Mean Square F Value Pr > F store 5 8286.666667 1657.333333 22.28 <.0001 week 5 981.666667 196.333333 2.64 0.0546 shelfspace 5 395.000000 79.000000 1.06 0.4103 The SAS System 7 13:04 Tuesday, March 20, 2018 -------------------------------- category=2 -------------------------------- The GLM Procedure Tukey's Studentized Range (HSD) Test for sales NOTE: This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ. Alpha 0.05 Error Degrees of Freedom 20 Error Mean Square 74.38333 Critical Value of Studentized Range 4.44524 Minimum Significant Difference 15.652 Means with the same letter are not significantly different. Tukey Grouping Mean N shelfspace A 51.167 6 10 A A 49.167 6 4 A A 46.500 6 12 A A 46.000 6 8 A A 45.667 6 6 A A 40.500 6 2 The SAS System 8 13:04 Tuesday, March 20, 2018 -------------------------------- category=2 -------------------------------- The GLM Procedure Bonferroni (Dunn) t Tests for sales NOTE: This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ. Alpha 0.05 Error Degrees of Freedom 20 Error Mean Square 74.38333 Critical Value of t 3.33064 Minimum Significant Difference 16.585 Means with the same letter are not significantly different. Bon Grouping Mean N shelfspace A 51.167 6 10 A A 49.167 6 4 A A 46.500 6 12 A A 46.000 6 8 A A 45.667 6 6 A A 40.500 6 2 The SAS System 9 13:04 Tuesday, March 20, 2018 -------------------------------- category=3 -------------------------------- The GLM Procedure Class Level Information Class Levels Values store 6 1 2 3 4 5 6 week 6 1 2 3 4 5 6 shelfspace 6 6 9 12 15 18 21 Number of Observations Read 36 Number of Observations Used 36 The SAS System 10 13:04 Tuesday, March 20, 2018 -------------------------------- category=3 -------------------------------- The GLM Procedure Dependent Variable: sales Sum of Source DF Squares Mean Square F Value Pr > F Model 15 6669.750000 444.650000 8.97 <.0001 Error 20 991.888889 49.594444 Corrected Total 35 7661.638889 R-Square Coeff Var Root MSE sales Mean 0.870538 20.59496 7.042332 34.19444 Source DF Type I SS Mean Square F Value Pr > F store 5 6192.138889 1238.427778 24.97 <.0001 week 5 315.805556 63.161111 1.27 0.3139 shelfspace 5 161.805556 32.361111 0.65 0.6631 Source DF Type III SS Mean Square F Value Pr > F store 5 6192.138889 1238.427778 24.97 <.0001 week 5 315.805556 63.161111 1.27 0.3139 shelfspace 5 161.805556 32.361111 0.65 0.6631 The SAS System 11 13:04 Tuesday, March 20, 2018 -------------------------------- category=3 -------------------------------- The GLM Procedure Tukey's Studentized Range (HSD) Test for sales NOTE: This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ. Alpha 0.05 Error Degrees of Freedom 20 Error Mean Square 49.59444 Critical Value of Studentized Range 4.44524 Minimum Significant Difference 12.78 Means with the same letter are not significantly different. Tukey Grouping Mean N shelfspace A 36.833 6 18 A A 36.667 6 21 A A 34.833 6 15 A A 33.500 6 12 A A 32.000 6 6 A A 31.333 6 9 The SAS System 12 13:04 Tuesday, March 20, 2018 -------------------------------- category=3 -------------------------------- The GLM Procedure Bonferroni (Dunn) t Tests for sales NOTE: This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ. Alpha 0.05 Error Degrees of Freedom 20 Error Mean Square 49.59444 Critical Value of t 3.33064 Minimum Significant Difference 13.542 Means with the same letter are not significantly different. Bon Grouping Mean N shelfspace A 36.833 6 18 A A 36.667 6 21 A A 34.833 6 15 A A 33.500 6 12 A A 32.000 6 6 A A 31.333 6 9 The SAS System 13 13:04 Tuesday, March 20, 2018 -------------------------------- category=4 -------------------------------- The GLM Procedure Class Level Information Class Levels Values store 6 1 2 3 4 5 6 week 6 1 2 3 4 5 6 shelfspace 6 6 9 12 15 18 21 Number of Observations Read 36 Number of Observations Used 36 The SAS System 14 13:04 Tuesday, March 20, 2018 -------------------------------- category=4 -------------------------------- The GLM Procedure Dependent Variable: sales Sum of Source DF Squares Mean Square F Value Pr > F Model 15 7513.750000 500.916667 7.84 <.0001 Error 20 1277.222222 63.861111 Corrected Total 35 8790.972222 R-Square Coeff Var Root MSE sales Mean 0.854712 26.22492 7.991315 30.47222 Source DF Type I SS Mean Square F Value Pr > F store 5 6475.805556 1295.161111 20.28 <.0001 week 5 529.472222 105.894444 1.66 0.1908 shelfspace 5 508.472222 101.694444 1.59 0.2078 Source DF Type III SS Mean Square F Value Pr > F store 5 6475.805556 1295.161111 20.28 <.0001 week 5 529.472222 105.894444 1.66 0.1908 shelfspace 5 508.472222 101.694444 1.59 0.2078 The SAS System 15 13:04 Tuesday, March 20, 2018 -------------------------------- category=4 -------------------------------- The GLM Procedure Tukey's Studentized Range (HSD) Test for sales NOTE: This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ. Alpha 0.05 Error Degrees of Freedom 20 Error Mean Square 63.86111 Critical Value of Studentized Range 4.44524 Minimum Significant Difference 14.502 Means with the same letter are not significantly different. Tukey Grouping Mean N shelfspace A 38.333 6 21 A A 31.000 6 12 A A 30.000 6 6 A A 28.500 6 15 A A 28.167 6 18 A A 26.833 6 9 The SAS System 16 13:04 Tuesday, March 20, 2018 -------------------------------- category=4 -------------------------------- The GLM Procedure Bonferroni (Dunn) t Tests for sales NOTE: This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ. Alpha 0.05 Error Degrees of Freedom 20 Error Mean Square 63.86111 Critical Value of t 3.33064 Minimum Significant Difference 15.367 Means with the same letter are not significantly different. Bon Grouping Mean N shelfspace A 38.333 6 21 A A 31.000 6 12 A A 30.000 6 6 A A 28.500 6 15 A A 28.167 6 18 A A 26.833 6 9