scab ANOVA standard form 1 08:33 Monday, March 11, 2013 The GLM Procedure Class Level Information Class Levels Values time 2 fall spring sulfur 3 high low medium Number of Observations Read 24 Number of Observations Used 24 scab ANOVA standard form 2 08:33 Monday, March 11, 2013 The GLM Procedure Dependent Variable: index Sum of Source DF Squares Mean Square F Value Model 5 454.333333 90.866667 2.58 Error 18 633.000000 35.166667 Corrected Total 23 1087.333333 Source Pr > F Model 0.0625 Error Corrected Total R-Square Coeff Var Root MSE index Mean 0.417842 44.47612 5.930149 13.33333 Source DF Type I SS Mean Square F Value time 1 228.1666667 228.1666667 6.49 sulfur 2 189.5833333 94.7916667 2.70 time*sulfur 2 36.5833333 18.2916667 0.52 Source Pr > F time 0.0202 sulfur 0.0946 time*sulfur 0.6031 Source DF Type II SS Mean Square F Value time 1 228.1666667 228.1666667 6.49 sulfur 2 189.5833333 94.7916667 2.70 time*sulfur 2 36.5833333 18.2916667 0.52 Source Pr > F time 0.0202 sulfur 0.0946 time*sulfur 0.6031 scab analysis: cell means model (version 1) 3 08:33 Monday, March 11, 2013 The GLM Procedure Class Level Information Class Levels Values time 2 fall spring sulfur 3 high low medium Number of Observations Read 24 Number of Observations Used 24 scab analysis: cell means model (version 1) 4 08:33 Monday, March 11, 2013 The GLM Procedure Dependent Variable: index Sum of Source DF Squares Mean Square F Value Model 6 4721.000000 786.833333 22.37 Error 18 633.000000 35.166667 Uncorrected Total 24 5354.000000 Source Pr > F Model <.0001 Error Uncorrected Total R-Square Coeff Var Root MSE index Mean 0.417842 44.47612 5.930149 13.33333 Source DF Type I SS Mean Square F Value time*sulfur 6 4721.000000 786.833333 22.37 Source Pr > F time*sulfur <.0001 Source DF Type II SS Mean Square F Value time*sulfur 6 4721.000000 786.833333 22.37 Source Pr > F time*sulfur <.0001 Contrast DF Contrast SS Mean Square F Value fall vs spring 1 228.1666667 228.1666667 6.49 low vs medium 1 56.2500000 56.2500000 1.60 high vs others 1 133.3333333 133.3333333 3.79 Contrast Pr > F fall vs spring 0.0202 low vs medium 0.2221 high vs others 0.0673 scab analysis: cell means model (version 1) 5 08:33 Monday, March 11, 2013 The GLM Procedure Dependent Variable: index Contrast DF Contrast SS Mean Square F Value int1: low vs med 1 20.2500000 20.2500000 0.58 int2: hi vs others 1 16.3333333 16.3333333 0.46 time main 1 228.1666667 228.1666667 6.49 level main 2 189.5833333 94.7916667 2.70 interaction 2 36.5833333 18.2916667 0.52 Contrast Pr > F int1: low vs med 0.4578 int2: hi vs others 0.5042 time main 0.0202 level main 0.0946 interaction 0.6031 Standard Parameter Estimate Error t Value Pr > |t| fall 10.2500000 1.71188655 5.99 <.0001 spring 16.4166667 1.71188655 9.59 <.0001 low 13.1250000 2.09662427 6.26 <.0001 medium 16.8750000 2.09662427 8.05 <.0001 high 10.0000000 2.09662427 4.77 0.0002 fall vs spring -6.1666667 2.42097317 -2.55 0.0202 low vs medium -3.7500000 2.96507448 -1.26 0.2221 high vs others -5.0000000 2.56782982 -1.95 0.0673 int1: low vs med -4.5000000 5.93014896 -0.76 0.4578 int2: hi vs others -3.5000000 5.13565965 -0.68 0.5042 Parameter 95% Confidence Limits fall 6.6534598 13.8465402 spring 12.8201265 20.0132068 low 8.7201559 17.5298441 medium 12.4701559 21.2798441 high 5.5951559 14.4048441 fall vs spring -11.2529426 -1.0803908 low vs medium -9.9793903 2.4793903 high vs others -10.3948103 0.3948103 int1: low vs med -16.9587806 7.9587806 int2: hi vs others -14.2896205 7.2896205 Standard Parameter Estimate Error t Value time*sulfur fall high 5.75000000 2.96507448 1.94 time*sulfur fall low 9.50000000 2.96507448 3.20 time*sulfur fall medium 15.50000000 2.96507448 5.23 time*sulfur spring high 14.25000000 2.96507448 4.81 time*sulfur spring low 16.75000000 2.96507448 5.65 scab analysis: cell means model (version 1) 6 08:33 Monday, March 11, 2013 The GLM Procedure Dependent Variable: index Standard Parameter Estimate Error t Value time*sulfur spring medium 18.25000000 2.96507448 6.15 Parameter Pr > |t| 95% Confidence Limits time*sulfur fall high 0.0683 -0.47939032 11.97939032 time*sulfur fall low 0.0049 3.27060968 15.72939032 time*sulfur fall medium <.0001 9.27060968 21.72939032 time*sulfur spring high 0.0001 8.02060968 20.47939032 time*sulfur spring low <.0001 10.52060968 22.97939032 time*sulfur spring medium <.0001 12.02060968 24.47939032 interaction plots 7 08:33 Monday, March 11, 2013 Plot of mean*time. Symbol is value of sulfur. 20 + | | | | | m 18 + | | | | l | 16 + | m | mean | | | h 14 + | | | | | 12 + | | | | | 10 + | l | | | | 8 + | | | | | 6 + | h | | | | 4 + ---+-------------------------------------------+-- fall spring time interaction plots 8 08:33 Monday, March 11, 2013 Plot of mean*sulfur. Symbol is value of time. 20 + | | | | | s 18 + | | | | s | 16 + | f | mean | | | s 14 + | | | | | 12 + | | | | | 10 + | f | | | | 8 + | | | | | 6 + | f | | | | 4 + ---+----------------------+----------------------+-- high low medium sulfur scab analysis: cell means model (version 2) 9 08:33 Monday, March 11, 2013 The GLM Procedure Class Level Information Class Levels Values time 2 fall spring sulfur 3 high low medium Number of Observations Read 24 Number of Observations Used 24 scab analysis: cell means model (version 2) 10 08:33 Monday, March 11, 2013 The GLM Procedure Dependent Variable: index Sum of Source DF Squares Mean Square F Value Model 6 4721.000000 786.833333 22.37 Error 18 633.000000 35.166667 Uncorrected Total 24 5354.000000 Source Pr > F Model <.0001 Error Uncorrected Total R-Square Coeff Var Root MSE index Mean 0.417842 44.47612 5.930149 13.33333 Source DF Type I SS Mean Square F Value time*sulfur 6 4721.000000 786.833333 22.37 Source Pr > F time*sulfur <.0001 Source DF Type II SS Mean Square F Value time*sulfur 6 4721.000000 786.833333 22.37 Source Pr > F time*sulfur <.0001 Contrast DF Contrast SS Mean Square F Value fall vs spring 1 228.1666667 228.1666667 6.49 level: linear 1 71.5029762 71.5029762 2.03 level: quadratic 1 118.0803571 118.0803571 3.36 Contrast Pr > F fall vs spring 0.0202 level: linear 0.1710 level: quadratic 0.0835 scab analysis: cell means model (version 2) 11 08:33 Monday, March 11, 2013 The GLM Procedure Dependent Variable: index Contrast DF Contrast SS Mean Square F Value int1: linear 1 5.5029762 5.5029762 0.16 int2: quadratic 1 31.0803571 31.0803571 0.88 time main 1 228.1666667 228.1666667 6.49 level main 2 189.5833333 94.7916667 2.70 interaction 2 36.5833333 18.2916667 0.52 Contrast Pr > F int1: linear 0.6971 int2: quadratic 0.3596 time main 0.0202 level main 0.0946 interaction 0.6031 Standard Parameter Estimate Error t Value Pr > |t| fall vs spring -6.16666667 2.42097317 -2.55 0.0202 level: linear -1.38392857 0.97054845 -1.43 0.1710 level: quadratic -2.39583333 1.30747495 -1.83 0.0835 int1: linear -0.76785714 1.94109689 -0.40 0.6971 int2: quadratic -2.45833333 2.61494990 -0.94 0.3596 Parameter 95% Confidence Limits fall vs spring -11.25294257 -1.08039077 level: linear -3.42297519 0.65511805 level: quadratic -5.14273627 0.35106960 int1: linear -4.84595038 3.31023610 int2: quadratic -7.95213921 3.03547254 Standard Parameter Estimate Error t Value time*sulfur fall high 5.75000000 2.96507448 1.94 time*sulfur fall low 9.50000000 2.96507448 3.20 time*sulfur fall medium 15.50000000 2.96507448 5.23 time*sulfur spring high 14.25000000 2.96507448 4.81 time*sulfur spring low 16.75000000 2.96507448 5.65 Parameter Pr > |t| 95% Confidence Limits time*sulfur fall high 0.0683 -0.47939032 11.97939032 time*sulfur fall low 0.0049 3.27060968 15.72939032 time*sulfur fall medium <.0001 9.27060968 21.72939032 time*sulfur spring high 0.0001 8.02060968 20.47939032 time*sulfur spring low <.0001 10.52060968 22.97939032 scab analysis: cell means model (version 2) 12 08:33 Monday, March 11, 2013 The GLM Procedure Dependent Variable: index Standard Parameter Estimate Error t Value time*sulfur spring medium 18.25000000 2.96507448 6.15 Parameter Pr > |t| 95% Confidence Limits time*sulfur spring medium <.0001 12.02060968 24.47939032 orthogonal polynomial contrasts 13 08:33 Monday, March 11, 2013 The REG Procedure Model: MODEL1 Dependent Variable: x1 Number of Observations Read 3 Number of Observations Used 3 NOTE: No intercept in model. R-Square is redefined. Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 1 16.33333 16.33333 7.00 0.1181 Error 2 4.66667 2.33333 Uncorrected Total 3 21.00000 Root MSE 1.52753 R-Square 0.7778 Dependent Mean 2.33333 Adj R-Sq 0.6667 Coeff Var 65.46537 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| x0 1 2.33333 0.88192 2.65 0.1181 Sequential Parameter Estimates x0 2.333333 orthogonal polynomial contrasts 14 08:33 Monday, March 11, 2013 The REG Procedure Model: MODEL2 Dependent Variable: x2 Number of Observations Read 3 Number of Observations Used 3 NOTE: No intercept in model. R-Square is redefined. Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 270.42857 135.21429 52.58 0.0971 Error 1 2.57143 2.57143 Uncorrected Total 3 273.00000 Root MSE 1.60357 R-Square 0.9906 Dependent Mean 7.00000 Adj R-Sq 0.9717 Coeff Var 22.90811 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| x0 1 -5.00000 1.96396 -2.55 0.2383 x1 1 5.14286 0.74231 6.93 0.0913 Sequential Parameter Estimates x0 x1 7.000000 0 -5.000000 5.142857 orthogonal polynomial contrasts 15 08:33 Monday, March 11, 2013 Obs x0 linear quad linear2 quad2 1 1 -1.33333 0.85714 -4 6 2 1 -0.33333 -1.28571 -1 -9 3 1 1.66667 0.42857 5 3