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Ex 7-49 in page 429

7-7 Factorial Experiments with More than Two Levels. Ex 7-49 in page 429. OPTIONS NOOVP NODATE NONUMBER LS= 80 ; proc format ; value tm 1 = '20min ' 2 ='25min' 3 ='30min'; DATA ex749; INPUT paint time finish @@; format time tm.; cards; 1 1 74 1 1 64 1 1 50

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Ex 7-49 in page 429

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  1. 7-7 Factorial Experiments with More than Two Levels Ex7-49 in page 429 OPTIONS NOOVP NODATE NONUMBER LS=80; procformat; value tm 1='20min' 2='25min' 3='30min'; DATA ex749; INPUT paint time finish @@; format time tm.; cards; 1 1 74 1 1 64 1 1 50 2 1 92 2 1 86 2 1 68 1 2 73 1 2 61 1 2 44 2 2 98 2 2 73 2 2 88 1 3 78 1 3 85 1 3 92 2 3 66 2 3 45 2 3 85 PROCGLM DATA=ex749; CLASS paint time; MODEL finish= paint timepaint*time; MEANS paint time paint*time/snk; contrast 'AB11-AB12' paint*time 1 -10 -110; contrast 'AB11-AB13' paint*time 10 -1 -101; TITLE 'Two-way ANOVA'; run; QUIT;

  2. 7-7 Factorial Experiments with More than Two Levels Two-way ANOVA The GLM Procedure Dependent Variable: finish Sum of Source DF Squares Mean Square F Value Pr > F Model 5 2261.777778 452.355556 2.42 0.0973 Error 12 2242.666667 186.888889 Corrected Total 17 4504.444444 R-Square CoeffVar Root MSE finish Mean 0.502121 18.61370 13.67073 73.44444 Source DF Type I SS Mean Square F Value Pr > F paint 1 355.555556 355.555556 1.90 0.1930 time 2 27.444444 13.722222 0.07 0.9296 paint*time 2 1878.777778 939.388889 5.03 0.0260 Source DF Type III SS Mean Square F Value Pr > F paint 1 355.555556 355.555556 1.90 0.1930 time 2 27.444444 13.722222 0.07 0.9296 paint*time 2 1878.777778 939.388889 5.03 0.0260

  3. 7-7 Factorial Experiments with More than Two Levels The GLM Procedure Student-Newman-Keuls Test for finish NOTE: This test controls the Type I experimentwise error rate under the complete null hypothesis but not under partial null hypotheses. Alpha 0.05 Error Degrees of Freedom 12 Error Mean Square 186.8889 Number of Means 2 Critical Range 14.040684 Means with the same letter are not significantly different. SNK Grouping Mean N paint A 77.889 9 2 A 69.000 9 1 The GLM Procedure Student-Newman-Keuls Test for finish NOTE: This test controls the Type I experimentwise error rate under the complete null hypothesis but not under partial null hypotheses. Alpha 0.05 Error Degrees of Freedom 12 Error Mean Square 186.8889 Number of Means 2 3 Critical Range 17.196255 21.056672 Means with the same letter are not significantly different. SNK Grouping Mean N time A 75.167 6 30min A 72.833 6 25min A 72.333 6 20min The GLM Procedure Level of Level of ------------finish----------- paint time N Mean StdDev 1 20 min 3 62.6666667 12.0554275 1 25min 3 59.3333333 14.5716620 1 30min 3 85.0000000 7.0000000 2 20 min 3 82.0000000 12.4899960 2 25min 3 86.3333333 12.5830574 2 30min 3 65.3333333 20.0083316

  4. 7-7 Factorial Experiments with More than Two Levels Coefficients for contrasts m11 = m12is1 -1 0 -1 1 0 Two-way ANOVA The GLM Procedure Dependent Variable: finish Contrast DF Contrast SS Mean Square F Value Pr > F AB11-AB12 1 44.083333 44.083333 0.24 0.6359 AB11-AB13 1 1140.750000 1140.750000 6.10 0.0295

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