Univariate Analysis of Variance

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Univariate Analysis of Variance Output Created Comments Input Missing Value Handling Syntax Resources Notes Data Active Dataset Filter Weight Split File N of Rows in Working Data File Definition of Missing Cases Used Processor Time Elapsed Time 07-MAR-2016 12:58:55 D:\Google Drive\ELEX_2016\CD\Bab 5\5.2.2. sav DataSet1 <none> <none> <none> User-defined missing values are treated as missing. 36 Statistics are based on all cases with valid data for all variables in the model. UNIANOVA B Material Temperatur WITH X /CONTRAST(Material)=Simple(1) /CONTRAST(Temperatur)=Simple(1) /METHOD=SSTPE(3) /INTERCEPT=INCLUDE /PLOT=PROFILE(Temperatur*Material) /EMMEANS=TABLES(Material) WITH (X=MEAN) COMPARE ADJ(LSD) /EMMEANS=TABLES(Temperatur) WITH (X=MEAN) COMPARE ADJ(LSD) /EMMEANS=TABLES(Material*Temperatur) WITH(X=MEAN) /PRINT=PARAMETER HOMOGENEIT DESCRIPTIVE /CRITERIA=ALPHA(.05) /DESIGN=X Material Temperatur Material*Temperatur. 00:00:04.22 00:00:01.50 Between-Subjects Factors Material 1 2 3 Temperatur 1 2 3 Value Label N Material tipe 1 12 Material tipe 2 12 Material tipe 3 12 12 12 12 Page 1

Descriptive Statistics Material Temperatur Mean Std. Deviation N Material tipe 1 134.75 45.353 4 57.25 23.599 4 57.50 26.851 4 83.17 48.589 12 Material tipe 2 155.75 25.617 4 119.75 12.659 4 49.50 19.261 4 108.33 49.472 12 Material tipe 3 144.00 25.974 4 145.75 22.544 4 85.50 19.279 4 125.08 35.766 12 144.83 31.694 12 107.58 42.883 12 64.17 25.672 12 105.53 47.101 36 Levene's Test of Equality of Variances a F df1 df2 Sig..677 8 27.707 Tests the null hypothesis that the error variance of the dependent variable is equal across groups. a. Design: Intercept + X + Material + Temperatur + Material * Temperatur Page 2

Tests of Between-Subjects Effects Source Corrected Model Intercept X Material Temperatur Material * Temperatur Corrected Type III Sum of 60094.518 a 9 6677.169 9.891.000 3734.700 1 3734.700 5.532.027 678.296 1 678.296 1.005.325 9065.823 2 4532.911 6.714.004 34564.617 2 17282.308 25.600.000 8514.456 4 2128.614 3.153.031 478547.000 36 77646.972 35 a. R Squared =.774 (Adjusted R Squared =.696) Parameter Estimates 95% Confidence Interval Parameter B Std. t Sig. Intercept 162.554 77.961 2.085.047 2.301 322.806 X -.562.561-1.002.325-1.716.591 [Material=1] -23.641 18.880-1.252.222-62.450 15.167 [Material=2] -29.813 19.382-1.538.136-69.652 10.026 [Material=3] 0 a..... [Temperatur=1] 59.344 18.392 3.227.003 21.539 97.148 [Temperatur=2] 59.547 18.386 3.239.003 21.754 97.340 [Temperatur=3] 0 a..... [Material=1] * [Temperatur=1] 14.954 26.257.570.574-39.019 68.926 [Material=1] * [Temperatur=2] -62.750 26.079-2.406.024-116.357-9.143 [Material=1] * [Temperatur=3] 0 a..... [Material=2] * [Temperatur=1] 41.001 26.841 1.528.139-14.171 96.173 [Material=2] * [Temperatur=2].720 27.583.026.979-55.977 57.417 [Material=2] * [Temperatur=3] 0 a..... [Material=3] * [Temperatur=1] 0 a..... [Material=3] * [Temperatur=2] 0 a..... [Material=3] * [Temperatur=3] 0 a..... a. This parameter is set to zero because it is redundant. Page 3

Custom Hypothesis Tests Index 1 Coefficients (L' Matrix) Transformation Coefficients (M Matrix) Results (K Matrix) 2 Coefficients (L' Matrix) Transformation Coefficients (M Matrix) Results (K Matrix) Simple (reference category = 1) for Material Identity Matrix Zero Matrix Simple (reference category = 1) for Temperatur Identity Matrix Zero Matrix Custom Hypothesis Tests #1 Results (K Matrix) Material Simple a Level 2 vs. Level 1 Level 3 vs. Level 1 Estimate Hypothesized Value Difference (Estimate - Hypothesized) Std. Sig. Difference Estimate Hypothesized Value Difference (Estimate - Hypothesized) Std. Sig. Difference Dependent Variable 23.667 0 23.667 10.712.036 1.647 45.686 39.573 0 39.573 10.862.001 17.246 61.900 a. Reference category = 1 Page 4

Test Results Source Sum of 9065.823 2 4532.911 6.714.004 Custom Hypothesis Tests #2 Results (K Matrix) Temperatur Simple a Level 2 vs. Level 1 Level 3 vs. Level 1 Estimate Hypothesized Value Difference (Estimate - Hypothesized) Std. Sig. Difference Estimate Hypothesized Value Difference (Estimate - Hypothesized) Std. Sig. Difference Dependent Variable -39.125 0-39.125 10.771.001-61.265-16.985-77.995 0-77.995 10.937.000-100.477-55.514 a. Reference category = 1 Test Results Source Sum of 34564.617 2 17282.308 25.600.000 Estimated Marginal Means Page 5

1. Material Estimates 95% Confidence Interval Material Mean Std. Material tipe 1 84.448 a 7.609 68.808 100.088 Material tipe 2 108.115 a 7.504 92.691 123.539 Material tipe 3 124.021 a 7.575 108.450 139.592 a. Covariates appearing in the model are evaluated at the following values: X = 138.97. (I) Material (J) Material Material tipe 1 Material tipe 2 Material tipe 3 Material tipe 2 Material tipe 1 Material tipe 3 Material tipe 3 Material tipe 1 Material tipe 2 Based on estimated marginal means *. The mean difference is significant at the.05 level. Pairwise Comparisons Mean Difference (I-J) Std. Sig. b Difference b -23.667 * 10.712.036-45.686-1.647-39.573 * 10.862.001-61.900-17.246 23.667 * 10.712.036 1.647 45.686-15.906 10.641.147-37.779 5.966 39.573 * 10.862.001 17.246 61.900 15.906 10.641.147-5.966 37.779 b. Adjustment for multiple comparisons: Least Significant Difference (equivalent to no adjustments). Univariate Tests Sum of 9065.823 2 4532.911 6.714.004 The F tests the effect of Material. This test is based on the linearly independent pairwise comparisons among the estimated marginal means. 2. Temperatur Page 6

Estimates 95% Confidence Interval Temperatur Mean Std. 144.568 a 7.505 129.141 159.995 105.443 a 7.799 89.413 121.473 66.573 a 7.875 50.385 82.760 a. Covariates appearing in the model are evaluated at the following values: X = 138.97. (I) Temperatur (J) Temperatur Based on estimated marginal means *. The mean difference is significant at the.05 level. Pairwise Comparisons Mean Difference (I-J) Std. Sig. b Difference b 39.125 * 10.771.001 16.985 61.265 77.995 * 10.937.000 55.514 100.477-39.125 * 10.771.001-61.265-16.985 38.870 * 11.536.002 15.157 62.584-77.995 * 10.937.000-100.477-55.514-38.870 * 11.536.002-62.584-15.157 b. Adjustment for multiple comparisons: Least Significant Difference (equivalent to no adjustments). Univariate Tests Sum of 34564.617 2 17282.308 25.600.000 The F tests the effect of Temperatur. This test is based on the linearly independent pairwise comparisons among the estimated marginal means. Page 7

3. Material * Temperatur 95% Confidence Interval Material Temperatur Mean Std. Material tipe 1 135.047 a 12.995 108.336 161.758 57.547 a 12.995 30.836 84.258 60.750 a 13.390 33.227 88.273 Material tipe 2 154.922 a 13.018 128.164 181.680 114.844 a 13.883 86.308 143.380 54.578 a 13.944 25.915 83.240 Material tipe 3 143.734 a 12.994 117.025 170.444 143.938 a 13.116 116.976 170.899 84.391 a 13.038 57.590 111.191 a. Covariates appearing in the model are evaluated at the following values: X = 138.97. Profile Plots Page 8

Estimated Marginal Means of 150 Material Material tipe 1 Material tipe 2 Material tipe 3 Estimated Marginal Means 125 100 75 50 Temperatur Covariates appearing in the model are evaluated at the following values: X = 138.97 Page 9

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