data repeat; infile 'mvrepeat.dat'; input leaf1 leaf2 leaf3 leaf4 leaf5 block variety; proc anova; class variety block; model leaf1 leaf2 leaf3 leaf4 leaf5 = block variety / ss1; repeated week 5 (1 2 3 4 5) contrast / printm printh printe printrv nou short summary; ------------------------------------------------------------------------------- Partial Correlation Coefficients from the Error SS&CP Matrix / Prob > |r| DF = 11 LEAF1 LEAF2 LEAF3 LEAF4 LEAF5 LEAF1 1.000000 0.708271 0.643949 0.747705 0.533801 0.0 0.0067 0.0175 0.0033 0.0603 LEAF2 0.708271 1.000000 0.633946 0.743892 0.548753 0.0067 0.0 0.0200 0.0036 0.0521 LEAF3 0.643949 0.633946 1.000000 0.933890 0.717591 0.0175 0.0200 0.0 0.0001 0.0058 LEAF4 0.747705 0.743892 0.933890 1.000000 0.775904 0.0033 0.0036 0.0001 0.0 0.0018 LEAF5 0.533801 0.548753 0.717591 0.775904 1.000000 0.0603 0.0521 0.0058 0.0018 0.0 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 ------------------------------------------------------------------------------- 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.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 ------------------------------------------------------------------------------- Partial Correlation Coefficients from the Error SS&CP Matrix of the Variables Defined by the Specified Transformation / Prob > |r| DF = 11 WEEK.1 WEEK.2 WEEK.3 WEEK.4 WEEK.1 1.000000 0.685082 0.526744 0.555328 0.0 0.0098 0.0644 0.0488 WEEK.2 0.685082 1.000000 0.499112 0.543590 0.0098 0.0 0.0825 0.0548 WEEK.3 0.526744 0.499112 1.000000 0.819190 0.0644 0.0825 0.0 0.0006 WEEK.4 0.555328 0.543590 0.819190 1.000000 0.0488 0.0548 0.0006 0.0 ------------------------------------------------------------------------------- H = Anova SS&CP Matrix for WEEK 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 Characteristic Roots and Vectors of: E Inverse * H, where H = Anova SS&CP Matrix for WEEK E = Error SS&CP Matrix Characteristic Percent Characteristic Vector V'EV=1 Root WEEK.1 WEEK.2 WEEK.3 WEEK.4 198.05432448 100.00 1.24664851 0.92859332 2.10579163 -2.28112760 0.0000000000 0.00 -1.07385031 2.06251933 -2.92324442 2.69810005 0.0000000000 0.00 -1.59150233 -0.06089420 2.22935821 1.02539409 0.0000000000 0.00 2.01012806 -2.00327768 -1.85555775 2.79270084 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*VARIETY 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 Characteristic Percent Characteristic Vector V'EV=1 Root WEEK.1 WEEK.2 WEEK.3 WEEK.4 8.7953091402 72.23 2.69226558 -0.44255352 0.22121178 -2.10021361 1.9708183133 16.19 0.85375789 -1.46796457 1.20380939 1.55003032 1.4098549367 11.58 -0.51386844 2.20820737 -1.90111908 1.73100702 0.0000000000 0.00 1.01957062 -1.38063309 -4.03491059 3.39470493 Manova Test Criteria and F Approximations for 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. ------------------------------------------------------------------------------- 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 Adj Pr > F VARIETY 3 23.28250700 7.76083567 88.05 0.0001 G - G H - F Error 12 1.05765800 0.08813817 ------------------------------------------------------------------------------- WEEK 4 20.47835600 5.11958900 738.20 0.0001 0.0001 0.0001 WEEK*BLOCK 16 0.67432400 0.04214525 6.08 0.0001 0.0001 0.0001 WEEK*VARIETY 12 1.24626800 0.10385567 14.98 0.0001 0.0001 0.0001 Error(WEEK) 48 0.33289200 0.00693525 Greenhouse-Geisser Epsilon = 0.7954 Huynh-Feldt Epsilon = 1.7473 ------------------------------------------------------------------------------- Analysis of Variance of Contrast Variables Source WEEK.1 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 Source WEEK.2 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 Source WEEK.3 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 Source WEEK.4 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