Print all the data 08:25 Thursday, July 3, 2008 1 Obs method score 1 1 96 2 1 79 3 1 91 4 1 85 5 1 83 6 1 91 7 1 82 8 1 87 9 . . 10 2 77 11 2 76 12 2 74 13 2 73 14 2 78 15 2 71 16 2 80 17 . . 18 3 66 19 3 73 20 3 69 21 3 66 22 3 77 23 3 73 24 3 71 25 3 70 26 3 74 One way ANOVA, hostility data 08:25 Thursday, July 3, 2008 2 The GLM Procedure Class Level Information Class Levels Values method 3 1 2 3 Number of Observations Read 26 Number of Observations Used 24 One way ANOVA, hostility data 08:25 Thursday, July 3, 2008 3 The GLM Procedure Dependent Variable: score Sum of Source DF Squares Mean Square F Value Pr > F Model 2 1090.619048 545.309524 29.57 <.0001 Error 21 387.214286 18.438776 Corrected Total 23 1477.833333 R-Square Coeff Var Root MSE score Mean 0.737985 5.534745 4.294040 77.58333 Source DF Type I SS Mean Square F Value Pr > F method 2 1090.619048 545.309524 29.57 <.0001 Source DF Type III SS Mean Square F Value Pr > F method 2 1090.619048 545.309524 29.57 <.0001 One way ANOVA, hostility data 08:25 Thursday, July 3, 2008 4 The GLM Procedure Duncan's Multiple Range Test for score NOTE: This test controls the Type I comparisonwise error rate, not the experimentwise error rate. Alpha 0.05 Error Degrees of Freedom 21 Error Mean Square 18.43878 Harmonic Mean of Cell Sizes 7.91623 NOTE: Cell sizes are not equal. Number of Means 2 3 Critical Range 4.489 4.712 Means with the same letter are not significantly different. D u n c a n G r o u p i n g Mean N method A 86.750 8 1 B 75.571 7 2 C 71.000 9 3 One way ANOVA, hostility data 08:25 Thursday, July 3, 2008 5 The GLM Procedure Duncan's Multiple Range Test for score NOTE: This test controls the Type I comparisonwise error rate, not the experimentwise error rate. Alpha 0.01 Error Degrees of Freedom 21 Error Mean Square 18.43878 Harmonic Mean of Cell Sizes 7.91623 NOTE: Cell sizes are not equal. Number of Means 2 3 Critical Range 6.111 6.374 Means with the same letter are not significantly different. D u n c a n G r o u p i n g Mean N method A 86.750 8 1 B 75.571 7 2 B B 71.000 9 3 Box plot to check normality 08:25 Thursday, July 3, 2008 6 method=. The UNIVARIATE Procedure Variable: score Missing Values -----Percent Of----- Missing Missing Value Count All Obs Obs . 2 100.00 100.00 Box plot to check normality 08:25 Thursday, July 3, 2008 7 method=1 The UNIVARIATE Procedure Variable: score Moments N 8 Sum Weights 8 Mean 86.75 Sum Observations 694 Std Deviation 5.62519841 Variance 31.6428571 Skewness 0.33628109 Kurtosis -0.6891816 Uncorrected SS 60426 Corrected SS 221.5 Coeff Variation 6.48437857 Std Error Mean 1.98880797 Basic Statistical Measures Location Variability Mean 86.75000 Std Deviation 5.62520 Median 86.00000 Variance 31.64286 Mode 91.00000 Range 17.00000 Interquartile Range 8.50000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 43.61909 Pr > |t| <.0001 Sign M 4 Pr >= |M| 0.0078 Signed Rank S 18 Pr >= |S| 0.0078 Quantiles (Definition 5) Quantile Estimate 100% Max 96.0 99% 96.0 95% 96.0 90% 96.0 75% Q3 91.0 50% Median 86.0 25% Q1 82.5 10% 79.0 5% 79.0 1% 79.0 0% Min 79.0 Box plot to check normality 08:25 Thursday, July 3, 2008 8 method=1 The UNIVARIATE Procedure Variable: score Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 79 4 85 6 82 9 87 10 83 7 91 5 85 6 91 8 87 10 96 3 Stem Leaf # Boxplot 96 0 1 | 94 | 92 | 90 00 2 +-----+ 88 | | 86 0 1 *--+--* 84 0 1 | | 82 00 2 +-----+ 80 | 78 0 1 | ----+----+----+----+ Normal Probability Plot 97+ * +++ | ++++ | +++ 91+ *+++* | +++ | +++* 85+ ++* | *+++* | +++ 79+ +*++ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 Box plot to check normality 08:25 Thursday, July 3, 2008 9 method=2 The UNIVARIATE Procedure Variable: score Moments N 7 Sum Weights 7 Mean 75.5714286 Sum Observations 529 Std Deviation 3.10145895 Variance 9.61904762 Skewness -0.095771 Kurtosis -0.8094501 Uncorrected SS 40035 Corrected SS 57.7142857 Coeff Variation 4.10400995 Std Error Mean 1.1722413 Basic Statistical Measures Location Variability Mean 75.57143 Std Deviation 3.10146 Median 76.00000 Variance 9.61905 Mode . Range 9.00000 Interquartile Range 5.00000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 64.46747 Pr > |t| <.0001 Sign M 3.5 Pr >= |M| 0.0156 Signed Rank S 14 Pr >= |S| 0.0156 Quantiles (Definition 5) Quantile Estimate 100% Max 80 99% 80 95% 80 90% 80 75% Q3 78 50% Median 76 25% Q1 73 10% 71 5% 71 1% 71 0% Min 71 Box plot to check normality 08:25 Thursday, July 3, 2008 10 method=2 The UNIVARIATE Procedure Variable: score Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 71 16 74 13 73 14 76 12 74 13 77 11 76 12 78 15 77 11 80 17 Stem Leaf # Boxplot 80 0 1 | 79 | 78 0 1 +-----+ 77 0 1 | | 76 0 1 *-----* 75 | + | 74 0 1 | | 73 0 1 +-----+ 72 | 71 0 1 | ----+----+----+----+ Normal Probability Plot 80.5+ *+++ | +++ | *+++ 77.5+ *+++ | * +++ | +++ 74.5+ +*++ | *++ | +++ 71.5+ *++ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 Box plot to check normality 08:25 Thursday, July 3, 2008 11 method=3 The UNIVARIATE Procedure Variable: score Moments N 9 Sum Weights 9 Mean 71 Sum Observations 639 Std Deviation 3.67423461 Variance 13.5 Skewness 0 Kurtosis -0.638448 Uncorrected SS 45477 Corrected SS 108 Coeff Variation 5.17497833 Std Error Mean 1.22474487 Basic Statistical Measures Location Variability Mean 71.00000 Std Deviation 3.67423 Median 71.00000 Variance 13.50000 Mode 66.00000 Range 11.00000 Interquartile Range 4.00000 NOTE: The mode displayed is the smallest of 2 modes with a count of 2. Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 57.97126 Pr > |t| <.0001 Sign M 4.5 Pr >= |M| 0.0039 Signed Rank S 22.5 Pr >= |S| 0.0039 Quantiles (Definition 5) Quantile Estimate 100% Max 77 99% 77 95% 77 90% 77 75% Q3 73 50% Median 71 25% Q1 69 10% 66 5% 66 1% 66 0% Min 66 Box plot to check normality 08:25 Thursday, July 3, 2008 12 method=3 The UNIVARIATE Procedure Variable: score Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 66 21 71 24 66 18 73 19 69 20 73 23 70 25 74 26 71 24 77 22 Stem Leaf # Boxplot 76 0 1 | 74 0 1 | 72 00 2 +-----+ 70 00 2 *--+--* 68 0 1 +-----+ 66 00 2 | ----+----+----+----+ Normal Probability Plot 77+ +*++++ | *++++ | *++*++ | *++*++ | ++*+++ 67+ * ++++* +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 Box plot to check normality 08:25 Thursday, July 3, 2008 13 The UNIVARIATE Procedure Variable: score Schematic Plots 97.5 + | | | | | 95 + | | | | | | | 92.5 + | | | | +-----+ | | | 90 + | | | | | | | | | | | 87.5 + | | | | + | | *-----* | | | 85 + | | | | | | | | | | | 82.5 + +-----+ | | | | | | 80 + | | | | | | | | | +-----+ 77.5 + | | | | | | | *-----* | | | + | | 75 + | | | | | | | | | | | | +-----+ +-----+ 72.5 + | | | | | | | | | *--+--* | | | 70 + | | | | | | +-----+ | | 67.5 + | | | | | | 65 + Box plot to check normality 08:25 Thursday, July 3, 2008 14 The UNIVARIATE Procedure Variable: score Schematic Plots ------------+-----------+-----------+-----------+----------- method . 1 2 3 Output from PROC MEANS 08:25 Thursday, July 3, 2008 15 Obs method _TYPE_ _FREQ_ size mean std_dev stderr 1 . 0 2 0 . . . 2 1 0 8 8 86.7500 5.62520 1.98881 3 2 0 7 7 75.5714 3.10146 1.17224 4 3 0 9 9 71.0000 3.67423 1.22474