12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Class Level Information Class Levels Values VARIETY 4 1 2 3 4 BLOCK 5 1 2 3 4 5 Number of observations in data set = 20 12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Dependent Variable: LEAF1 Sum of Mean Source DF Squares Square F Value Pr > F Model 7 11.07933000 1.58276143 80.14 0.0001 Error 12 0.23699000 0.01974917 Corrected Total 19 11.31632000 R-Square C.V. Root MSE LEAF1 Mean 0.979058 2.892790 0.1405317 4.8580000 Source DF Anova SS Mean Square F Value Pr > F BLOCK 4 8.31897000 2.07974250 105.31 0.0001 VARIETY 3 2.76036000 0.92012000 46.59 0.0001 12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Dependent Variable: LEAF2 Sum of Mean Source DF Squares Square F Value Pr > F Model 7 12.06320000 1.72331429 83.80 0.0001 Error 12 0.24678000 0.02056500 Corrected Total 19 12.30998000 R-Square C.V. Root MSE LEAF2 Mean 0.979953 3.012078 0.1434050 4.7610000 Source DF Anova SS Mean Square F Value Pr > F BLOCK 4 8.60998000 2.15249500 104.67 0.0001 VARIETY 3 3.45322000 1.15107333 55.97 0.0001 12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Dependent Variable: LEAF3 Sum of Mean Source DF Squares Square F Value Pr > F Model 7 12.42047000 1.77435286 79.56 0.0001 Error 12 0.26763000 0.02230250 Corrected Total 19 12.68810000 R-Square C.V. Root MSE LEAF3 Mean 0.978907 3.429167 0.1493402 4.3550000 Source DF Anova SS Mean Square F Value Pr > F BLOCK 4 6.37145000 1.59286250 71.42 0.0001 VARIETY 3 6.04902000 2.01634000 90.41 0.0001 12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Dependent Variable: LEAF4 Sum of Mean Source DF Squares Square F Value Pr > F Model 7 12.56845500 1.79549357 54.92 0.0001 Error 12 0.39232000 0.03269333 Corrected Total 19 12.96077500 R-Square C.V. Root MSE LEAF4 Mean 0.969730 4.472801 0.1808130 4.0425000 Source DF Anova SS Mean Square F Value Pr > F BLOCK 4 6.30000000 1.57500000 48.17 0.0001 VARIETY 3 6.26845500 2.08948500 63.91 0.0001 12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Dependent Variable: LEAF5 Sum of Mean Source DF Squares Square F Value Pr > F Model 7 10.33877000 1.47696714 71.80 0.0001 Error 12 0.24683000 0.02056917 Corrected Total 19 10.58560000 R-Square C.V. Root MSE LEAF5 Mean 0.976682 3.940097 0.1434195 3.6400000 Source DF Anova SS Mean Square F Value Pr > F BLOCK 4 4.34105000 1.08526250 52.76 0.0001 VARIETY 3 5.99772000 1.99924000 97.20 0.0001 12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Repeated Measures Analysis of Variance Repeated Measures Level Information Dependent Variable LEAF1 LEAF2 LEAF3 LEAF4 LEAF5 Level of WEEK 1 2 3 4 5 12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Repeated Measures Analysis of Variance Partial Correlation Coefficients from the Error SS&CP Matrix / Prob > |r| DF = 12 LEAF1 LEAF2 LEAF3 LEAF4 LEAF5 LEAF1 1.000000 0.708271 0.643949 0.747705 0.533801 0.0001 0.0067 0.0175 0.0033 0.0603 LEAF2 0.708271 1.000000 0.633946 0.743892 0.548753 0.0067 0.0001 0.0200 0.0036 0.0521 LEAF3 0.643949 0.633946 1.000000 0.933890 0.717591 0.0175 0.0200 0.0001 0.0001 0.0058 LEAF4 0.747705 0.743892 0.933890 1.000000 0.775904 0.0033 0.0036 0.0001 0.0001 0.0018 LEAF5 0.533801 0.548753 0.717591 0.775904 1.000000 0.0603 0.0521 0.0058 0.0018 0.0001 WEEK.N represents the contrast between the nth level of WEEK and the last M Matrix Describing Transformed Variables LEAF1 LEAF2 LEAF3 LEAF4 LEAF5 WEEK.1 1.000000000 0.000000000 0.000000000 0.000000000 -1.000000000 WEEK.2 0.000000000 1.000000000 0.000000000 0.000000000 -1.000000000 WEEK.3 0.000000000 0.000000000 1.000000000 0.000000000 -1.000000000 WEEK.4 0.000000000 0.000000000 0.000000000 1.000000000 -1.000000000 E = Error SS&CP Matrix WEEK.N represents the contrast between the nth level of WEEK and the last WEEK.1 WEEK.2 WEEK.3 WEEK.4 WEEK.1 0.2256100000 0.1535750000 0.0954650000 0.1042650000 WEEK.2 0.1535750000 0.2227400000 0.0898800000 0.1014100000 WEEK.3 0.0954650000 0.0898800000 0.1455900000 0.1235550000 WEEK.4 0.1042650000 0.1014100000 0.1235550000 0.1562500000 12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Repeated Measures Analysis of Variance Partial Correlation Coefficients from the Error SS&CP Matrix of the Variables Defined by the Specified Transformation / Prob > |r| DF = 12 WEEK.1 WEEK.2 WEEK.3 WEEK.4 WEEK.1 1.000000 0.685082 0.526744 0.555328 0.0001 0.0098 0.0644 0.0488 WEEK.2 0.685082 1.000000 0.499112 0.543590 0.0098 0.0001 0.0825 0.0548 WEEK.3 0.526744 0.499112 1.000000 0.819190 0.0644 0.0825 0.0001 0.0006 WEEK.4 0.555328 0.543590 0.819190 1.000000 0.0488 0.0548 0.0006 0.0001 Test for Sphericity: Mauchly's Criterion = 0.1009828 Chisquare Approximation = 23.883383 with 9 df Prob > Chisquare = 0.0045 Applied to Orthogonal Components: Test for Sphericity: Mauchly's Criterion = 0.5208938 Chisquare Approximation = 6.7938446 with 9 df Prob > Chisquare = 0.6586 H = Anova SS&CP Matrix for WEEK WEEK.N represents the contrast between the nth level of WEEK and the last WEEK.1 WEEK.2 WEEK.3 WEEK.4 WEEK.1 29.67048 27.30756 17.4174 9.8049 WEEK.2 27.30756 25.13282 16.0303 9.02405 WEEK.3 17.4174 16.0303 10.2245 5.75575 WEEK.4 9.8049 9.02405 5.75575 3.240125 12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Repeated Measures Analysis of Variance Characteristic Roots and Vectors of: E Inverse * H, where H = Anova SS&CP Matrix for WEEK E = Error SS&CP Matrix WEEK.N represents the contrast between the nth level of WEEK and the last Characteristic Percent Characteristic Vector V'EV=1 Root WEEK.1 WEEK.2 WEEK.3 WEEK.4 198.054324 100.00 1.24664851 0.92859332 2.10579163 -2.28112760 0.000000 0.00 -0.98687222 2.02606743 -3.02448104 2.71625519 0.000000 0.00 -1.52915245 -0.09077150 2.05316729 1.23291409 0.000000 0.00 -2.10105331 2.03902596 1.89618277 -2.68928160 Manova Test Criteria and Exact F Statistics for the Hypothesis of no WEEK Effect H = Anova SS&CP Matrix for WEEK E = Error SS&CP Matrix S=1 M=1 N=3.5 Statistic Value F Num DF Den DF Pr > F Wilks' Lambda 0.00502375 445.6222 4 9 0.0001 Pillai's Trace 0.99497625 445.6222 4 9 0.0001 Hotelling-Lawley Trace 198.05432448 445.6222 4 9 0.0001 Roy's Greatest Root 198.05432448 445.6222 4 9 0.0001 H = Anova SS&CP Matrix for WEEK*BLOCK WEEK.N represents the contrast between the nth level of WEEK and the last WEEK.1 WEEK.2 WEEK.3 WEEK.4 WEEK.1 0.90827 0.880165 0.427475 0.402575 WEEK.2 0.880165 0.88498 0.4376 0.42025 WEEK.3 0.427475 0.4376 0.23245 0.218225 12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Repeated Measures Analysis of Variance WEEK.1 WEEK.2 WEEK.3 WEEK.4 WEEK.4 0.402575 0.42025 0.218225 0.21035 Characteristic Roots and Vectors of: E Inverse * H, where H = Anova SS&CP Matrix for WEEK*BLOCK E = Error SS&CP Matrix WEEK.N represents the contrast between the nth level of WEEK and the last Characteristic Percent Characteristic Vector V'EV=1 Root WEEK.1 WEEK.2 WEEK.3 WEEK.4 4.82408852 89.48 1.23350176 1.18574844 0.51611579 -0.73722962 0.41990490 7.79 -2.47681777 1.42122345 0.66684993 1.66498935 0.14328586 2.66 -0.32728020 1.21969332 -4.27851993 2.60663148 0.00390652 0.07 1.23187513 -2.05416013 -1.54144471 3.35017512 Manova Test Criteria and F Approximations for the Hypothesis of no WEEK*BLOCK Effect H = Anova SS&CP Matrix for WEEK*BLOCK E = Error SS&CP Matrix S=4 M=-0.5 N=3.5 Statistic Value F Num DF Den DF Pr > F Wilks' Lambda 0.10535731 1.9146 16 28.13308 0.0640 Pillai's Trace 1.25324623 1.3688 16 48 0.1978 Hotelling-Lawley Trace 5.39118580 2.5271 16 30 0.0138 Roy's Greatest Root 4.82408852 14.4723 4 12 0.0002 NOTE: F Statistic for Roy's Greatest Root is an upper bound. 12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Repeated Measures Analysis of Variance H = Anova SS&CP Matrix for WEEK*VARIETY WEEK.N represents the contrast between the nth level of WEEK and the last WEEK.1 WEEK.2 WEEK.3 WEEK.4 WEEK.1 1.21284 0.5301 0.14886 0.02826 WEEK.2 0.5301 0.38586 0.08352 0.09699 WEEK.3 0.14886 0.08352 0.20866 0.23727 WEEK.4 0.02826 0.09699 0.23727 0.312975 Characteristic Roots and Vectors of: E Inverse * H, where H = Anova SS&CP Matrix for WEEK*VARIETY E = Error SS&CP Matrix WEEK.N represents the contrast between the nth level of WEEK and the last Characteristic Percent Characteristic Vector V'EV=1 Root WEEK.1 WEEK.2 WEEK.3 WEEK.4 8.79530914 72.23 2.69226558 -0.44255352 0.22121178 -2.10021361 1.97081831 16.19 0.85375789 -1.46796457 1.20380939 1.55003032 1.40985494 11.58 -0.51386844 2.20820737 -1.90111908 1.73100702 0.00000000 0.00 1.01957062 -1.38063309 -4.03491059 3.39470493 12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Repeated Measures Analysis of Variance Manova Test Criteria and F Approximations for the Hypothesis of no WEEK*VARIETY Effect H = Anova SS&CP Matrix for WEEK*VARIETY E = Error SS&CP Matrix S=3 M=0 N=3.5 Statistic Value F Num DF Den DF Pr > F Wilks' Lambda 0.01425985 8.0046 12 24.10326 0.0001 Pillai's Trace 2.14633999 6.9143 12 33 0.0001 Hotelling-Lawley Trace 12.17598239 7.7791 12 23 0.0001 Roy's Greatest Root 8.79530914 24.1871 4 11 0.0001 NOTE: F Statistic for Roy's Greatest Root is an upper bound. 12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Repeated Measures Analysis of Variance Tests of Hypotheses for Between Subjects Effects Source DF Anova SS Mean Square F Value Pr > F BLOCK 4 33.26712600 8.31678150 94.36 0.0001 VARIETY 3 23.28250700 7.76083567 88.05 0.0001 Error 12 1.05765800 0.08813817 12:53 Wednesday, May 1, 1996 Analysis of Variance Procedure Repeated Measures Analysis of Variance Analysis of Variance of Contrast Variables WEEK.N represents the contrast between the nth level of WEEK and the last Contrast Variable: WEEK.1 Source DF Anova SS Mean Square F Value Pr > F MEAN 1 29.67048000 29.67048000 1578.15 0.0001 BLOCK 4 0.90827000 0.22706750 12.08 0.0004 VARIETY 3 1.21284000 0.40428000 21.50 0.0001 Error 12 0.22561000 0.01880083 Contrast Variable: WEEK.2 Source DF Anova SS Mean Square F Value Pr > F MEAN 1 25.13282000 25.13282000 1354.02 0.0001 BLOCK 4 0.88498000 0.22124500 11.92 0.0004 VARIETY 3 0.38586000 0.12862000 6.93 0.0058 Error 12 0.22274000 0.01856167 Contrast Variable: WEEK.3 Source DF Anova SS Mean Square F Value Pr > F MEAN 1 10.22450000 10.22450000 842.74 0.0001 BLOCK 4 0.23245000 0.05811250 4.79 0.0153 VARIETY 3 0.20866000 0.06955333 5.73 0.0114 Error 12 0.14559000 0.01213250 Contrast Variable: WEEK.4 Source DF Anova SS Mean Square F Value Pr > F MEAN 1 3.24012500 3.24012500 248.84 0.0001 BLOCK 4 0.21035000 0.05258750 4.04 0.0266 VARIETY 3 0.31297500 0.10432500 8.01 0.0034 Error 12 0.15625000 0.01302083