RPD - Example 12.1 - Box-tidwell Transformation 1 09:45 Monday, August 10, 2009 The GLM Procedure Class Level Information Class Levels Values family 8 1 2 3 4 5 6 7 8 Number of Observations Read 72 Number of Observations Used 72 RPD - Example 12.1 - Box-tidwell Transformation 2 09:45 Monday, August 10, 2009 The GLM Procedure Dependent Variable: y Sum of Source DF Squares Mean Square F Value Pr > F Model 9 1151.022329 127.891370 81.94 <.0001 Error 63 98.333271 1.560846 Uncorrected Total 72 1249.355600 R-Square Coeff Var Root MSE y Mean 0.785484 37.69374 1.249338 3.314444 Source DF Type I SS Mean Square F Value Pr > F family 8 804.8166667 100.6020833 64.45 <.0001 x 1 346.2056624 346.2056624 221.81 <.0001 Source DF Type III SS Mean Square F Value Pr > F family 8 23.9980375 2.9997547 1.92 0.0721 x 1 346.2056624 346.2056624 221.81 <.0001 Standard Parameter Estimate Error t Value Pr > |t| family 1 1.011978200 0.45465015 2.23 0.0296 family 2 0.099755978 0.45465015 0.22 0.8270 family 3 1.470867089 0.45465015 3.24 0.0019 family 4 0.445311533 0.45465015 0.98 0.3311 family 5 0.834200422 0.45465015 1.83 0.0713 family 6 0.390867089 0.45465015 0.86 0.3932 family 7 0.343089311 0.45465015 0.75 0.4533 family 8 0.184200422 0.45465015 0.41 0.6867 x 0.037560977 0.00252203 14.89 <.0001 RPD - Example 12.1 - Box-tidwell Transformation 3 09:45 Monday, August 10, 2009 The GLM Procedure Class Level Information Class Levels Values family 8 1 2 3 4 5 6 7 8 Number of Observations Read 72 Number of Observations Used 72 RPD - Example 12.1 - Box-tidwell Transformation 4 09:45 Monday, August 10, 2009 The GLM Procedure Dependent Variable: y Sum of Source DF Squares Mean Square F Value Pr > F Model 10 1155.735453 115.573545 76.54 <.0001 Error 62 93.620147 1.510002 Uncorrected Total 72 1249.355600 R-Square Coeff Var Root MSE y Mean 0.795766 37.07474 1.228822 3.314444 Source DF Type I SS Mean Square F Value Pr > F family 8 804.8166667 100.6020833 66.62 <.0001 x 1 346.2056624 346.2056624 229.27 <.0001 z 1 4.7131237 4.7131237 3.12 0.0822 Source DF Type III SS Mean Square F Value Pr > F family 8 16.56325107 2.07040638 1.37 0.2269 x 1 12.83935688 12.83935688 8.50 0.0049 z 1 4.71312369 4.71312369 3.12 0.0822 Standard Parameter Estimate Error t Value Pr > |t| family 1 0.772483494 0.46727923 1.65 0.1034 family 2 -0.139738729 0.46727923 -0.30 0.7659 family 3 1.231372382 0.46727923 2.64 0.0106 family 4 0.205816827 0.46727923 0.44 0.6611 family 5 0.594705716 0.46727923 1.27 0.2079 family 6 0.151372382 0.46727923 0.32 0.7471 family 7 0.103594605 0.46727923 0.22 0.8253 family 8 -0.055294284 0.46727923 -0.12 0.9062 x 0.094877618 0.03253726 2.92 0.0049 z -0.304827766 0.17253965 -1.77 0.0822 RPD - Example 12.1 - Box-tidwell Transformation 5 09:45 Monday, August 10, 2009 The GLM Procedure Class Level Information Class Levels Values family 8 1 2 3 4 5 6 7 8 Number of Observations Read 72 Number of Observations Used 72 RPD - Example 12.1 - Box-tidwell Transformation 6 09:45 Monday, August 10, 2009 The GLM Procedure Dependent Variable: y Sum of Source DF Squares Mean Square F Value Pr > F Model 9 1155.708738 128.412082 86.39 <.0001 Error 63 93.646862 1.486458 Uncorrected Total 72 1249.355600 R-Square Coeff Var Root MSE y Mean 0.795708 36.78456 1.219204 3.314444 Source DF Type I SS Mean Square F Value Pr > F family 8 804.8166667 100.6020833 67.68 <.0001 x1 1 350.8920718 350.8920718 236.06 <.0001 Source DF Type III SS Mean Square F Value Pr > F family 8 15.6258732 1.9532342 1.31 0.2531 x1 1 350.8920718 350.8920718 236.06 <.0001 Standard Parameter Estimate Error t Value Pr > |t| family 1 0.681566117 0.45221715 1.51 0.1368 family 2 -0.230656106 0.45221715 -0.51 0.6118 family 3 1.140455006 0.45221715 2.52 0.0142 family 4 0.114899450 0.45221715 0.25 0.8003 family 5 0.503788339 0.45221715 1.11 0.2695 family 6 0.060455006 0.45221715 0.13 0.8941 family 7 0.012677228 0.45221715 0.03 0.9777 family 8 -0.146211661 0.45221715 -0.32 0.7475 x1 0.175117735 0.01139776 15.36 <.0001 RPD - Example 12.1 - Box-tidwell Transformation 7 09:45 Monday, August 10, 2009 The GLM Procedure Class Level Information Class Levels Values family 8 1 2 3 4 5 6 7 8 Number of Observations Read 72 Number of Observations Used 72 RPD - Example 12.1 - Box-tidwell Transformation 8 09:45 Monday, August 10, 2009 The GLM Procedure Dependent Variable: y Sum of Source DF Squares Mean Square F Value Pr > F Model 10 1155.735453 115.573545 76.54 <.0001 Error 62 93.620147 1.510002 Uncorrected Total 72 1249.355600 R-Square Coeff Var Root MSE y Mean 0.795766 37.07474 1.228822 3.314444 Source DF Type I SS Mean Square F Value Pr > F family 8 804.8166667 100.6020833 66.62 <.0001 x1 1 350.8920718 350.8920718 232.38 <.0001 z1 1 0.0267143 0.0267143 0.02 0.8946 Source DF Type III SS Mean Square F Value Pr > F family 8 15.08641261 1.88580158 1.25 0.2867 x1 1 2.01054128 2.01054128 1.33 0.2530 z1 1 0.02671429 0.02671429 0.02 0.8946 Standard Parameter Estimate Error t Value Pr > |t| family 1 0.710284920 0.50434003 1.41 0.1640 family 2 -0.201937302 0.50434003 -0.40 0.6902 family 3 1.169173809 0.50434003 2.32 0.0238 family 4 0.143618253 0.50434003 0.28 0.7768 family 5 0.532507142 0.50434003 1.06 0.2951 family 6 0.089173809 0.50434003 0.18 0.8602 family 7 0.041396031 0.50434003 0.08 0.9348 family 8 -0.117492858 0.50434003 -0.23 0.8166 x1 0.157076191 0.13612650 1.15 0.2530 z1 0.029174876 0.21934413 0.13 0.8946 RPD - Example 12.1 - Box-tidwell Transformation 9 09:45 Monday, August 10, 2009 The GLM Procedure Class Level Information Class Levels Values family 8 1 2 3 4 5 6 7 8 Number of Observations Read 72 Number of Observations Used 72 RPD - Example 12.1 - Box-tidwell Transformation 10 09:45 Monday, August 10, 2009 The GLM Procedure Dependent Variable: y Sum of Source DF Squares Mean Square F Value Pr > F Model 9 1155.735453 128.415050 86.41 <.0001 Error 63 93.620147 1.486034 Uncorrected Total 72 1249.355600 R-Square Coeff Var Root MSE y Mean 0.795766 36.77932 1.219030 3.314444 Source DF Type I SS Mean Square F Value Pr > F family 8 804.8166667 100.6020833 67.70 <.0001 x2 1 350.9187860 350.9187860 236.14 <.0001 Source DF Type III SS Mean Square F Value Pr > F family 8 16.0386650 2.0048331 1.35 0.2365 x2 1 350.9187860 350.9187860 236.14 <.0001 Standard Parameter Estimate Error t Value Pr > |t| family 1 0.709334393 0.45135974 1.57 0.1211 family 2 -0.202887829 0.45135974 -0.45 0.6546 family 3 1.168223282 0.45135974 2.59 0.0120 family 4 0.142667727 0.45135974 0.32 0.7530 family 5 0.531556615 0.45135974 1.18 0.2434 family 6 0.088223282 0.45135974 0.20 0.8457 family 7 0.040445504 0.45135974 0.09 0.9289 family 8 -0.118443385 0.45135974 -0.26 0.7939 x2 0.158003069 0.01028198 15.37 <.0001 RPD - Example 12.1 - Box-tidwell Transformation 11 09:45 Monday, August 10, 2009 The GLM Procedure Class Level Information Class Levels Values family 8 1 2 3 4 5 6 7 8 Number of Observations Read 72 Number of Observations Used 72 RPD - Example 12.1 - Box-tidwell Transformation 12 09:45 Monday, August 10, 2009 The GLM Procedure Dependent Variable: y Sum of Source DF Squares Mean Square F Value Pr > F Model 10 1155.735453 115.573545 76.54 <.0001 Error 62 93.620147 1.510002 Uncorrected Total 72 1249.355600 R-Square Coeff Var Root MSE y Mean 0.795766 37.07474 1.228822 3.314444 Source DF Type I SS Mean Square F Value Pr > F family 8 804.8166667 100.6020833 66.62 <.0001 x2 1 350.9187860 350.9187860 232.40 <.0001 z2 1 0.0000001 0.0000001 0.00 0.9998 Source DF Type III SS Mean Square F Value Pr > F family 8 15.14513804 1.89314225 1.25 0.2841 x2 1 2.48919725 2.48919725 1.65 0.2039 z2 1 0.00000013 0.00000013 0.00 0.9998 Standard Parameter Estimate Error t Value Pr > |t| family 1 0.709393438 0.49883408 1.42 0.1600 family 2 -0.202828785 0.49883408 -0.41 0.6857 family 3 1.168282326 0.49883408 2.34 0.0224 family 4 0.142726771 0.49883408 0.29 0.7757 family 5 0.531615660 0.49883408 1.07 0.2907 family 6 0.088282326 0.49883408 0.18 0.8601 family 7 0.040504549 0.49883408 0.08 0.9355 family 8 -0.118384340 0.49883408 -0.24 0.8132 x2 0.157967674 0.12303463 1.28 0.2039 z2 0.000061787 0.21401052 0.00 0.9998