NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 38 15:37 Saturday, January 25, 2003 Obs GROUP I DOPA LNDOPA 1 neurblst 1 48.000 1.68124 2 neurblst 1 133.000 2.12385 3 neurblst 1 34.000 1.53148 4 neurblst 1 109.000 2.03743 5 neurblst 1 4.500 0.65321 6 neurblst 1 170.000 2.23045 7 neurblst 1 10.300 1.01284 8 neurblst 1 8.500 0.92942 9 neurblst 1 6.000 0.77815 10 neurblst 1 17.000 1.23045 11 neurblst 1 9.000 0.95424 12 neurblst 1 15.300 1.18469 13 neurblst 1 2.400 0.38021 14 neurblst 1 5.900 0.77085 15 neurblst 1 5.900 0.77085 16 control 2 16.036 1.20508 17 control 2 0.751 -0.12413 18 control 2 4.133 0.61626 19 control 2 0.925 -0.03376 20 control 2 5.605 0.74854 21 control 2 0.710 -0.14857 22 control 2 1.495 0.17472 23 control 2 5.211 0.71693 24 control 2 9.895 0.99543 25 control 2 0.917 -0.03750 26 control 2 4.365 0.63996 27 control 2 2.349 0.37090 28 control 2 0.943 -0.02556 29 control 2 0.388 -0.41090 30 control 2 0.536 -0.27061 31 control 2 5.347 0.72811 32 control 2 6.063 0.78271 33 control 2 4.051 0.60756 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 39 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 The UNIVARIATE Procedure Variable: DOPA Moments N 33 Sum Weights 33 Mean 19.6521212 Sum Observations 648.52 Std Deviation 39.7816861 Variance 1582.58255 Skewness 2.90194849 Kurtosis 7.86865192 Uncorrected SS 63387.4353 Corrected SS 50642.6416 Coeff Variation 202.429477 Std Error Mean 6.92510267 Basic Statistical Measures Location Variability Mean 19.65212 Std Deviation 39.78169 Median 5.60500 Variance 1583 Mode 5.90000 Range 169.61200 Interquartile Range 7.95100 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 2.837809 Pr > ІtІ 0.0078 Sign M 16.5 Pr >= ІMІ <.0001 Signed Rank S 280.5 Pr >= ІSІ <.0001 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.505821 Pr < W <0.0001 Kolmogorov-Smirnov D 0.375061 Pr > D <0.0100 Cramer-von Mises W-Sq 1.356928 Pr > W-Sq <0.0050 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 40 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 The UNIVARIATE Procedure Variable: DOPA Tests for Normality Test --Statistic--- -----p Value------ Anderson-Darling A-Sq 6.850042 Pr > A-Sq <0.0050 Quantiles (Definition 5) Quantile Estimate 100% Max 170.000 99% 170.000 95% 133.000 90% 48.000 75% Q3 10.300 50% Median 5.605 25% Q1 2.349 10% 0.751 5% 0.536 1% 0.388 0% Min 0.388 Extreme Observations -----Lowest---- ----Highest--- Value Obs Value Obs 0.388 14 34 21 0.536 15 48 19 0.710 6 109 22 0.751 2 133 20 0.917 10 170 24 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 41 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 The UNIVARIATE Procedure Variable: DOPA Frequency Counts Percents Percents Percents Percents Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum 0.388 1 3.0 3.0 2.349 1 3.0 27.3 5.605 1 3.0 51.5 15.300 1 3.0 78.8 0.536 1 3.0 6.1 2.400 1 3.0 30.3 5.900 2 6.1 57.6 16.036 1 3.0 81.8 0.710 1 3.0 9.1 4.051 1 3.0 33.3 6.000 1 3.0 60.6 17.000 1 3.0 84.8 0.751 1 3.0 12.1 4.133 1 3.0 36.4 6.063 1 3.0 63.6 34.000 1 3.0 87.9 0.917 1 3.0 15.2 4.365 1 3.0 39.4 8.500 1 3.0 66.7 48.000 1 3.0 90.9 0.925 1 3.0 18.2 4.500 1 3.0 42.4 9.000 1 3.0 69.7 109.000 1 3.0 93.9 0.943 1 3.0 21.2 5.211 1 3.0 45.5 9.895 1 3.0 72.7 133.000 1 3.0 97.0 1.495 1 3.0 24.2 5.347 1 3.0 48.5 10.300 1 3.0 75.8 170.000 1 3.0 100.0 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 42 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 The UNIVARIATE Procedure Variable: DOPA Stem Leaf # Boxplot Normal Probability Plot 16 0 1 * 170+ * 14 І 12 3 1 * І * 10 9 1 * І * +++++ 8 90+ +++++ 6 І +++++ 4 8 1 * І +++++ * 2 4 1 0 І +++++ * 0 0111111122444455666668900567 28 +--+--+ 10+ * * * *** ***************** * ----+----+----+----+----+--- +----+----+----+----+----+----+----+----+----+----+ Multiply Stem.Leaf by 10**+1 -2 -1 0 +1 +2 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 43 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 The UNIVARIATE Procedure Variable: LNDOPA Moments N 33 Sum Weights 33 Mean 0.75165242 Sum Observations 24.80453 Std Deviation 0.67353486 Variance 0.45364921 Skewness 0.40923115 Kurtosis -0.0483395 Uncorrected SS 33.1611597 Corrected SS 14.5167746 Coeff Variation 89.6072224 Std Error Mean 0.11724737 Basic Statistical Measures Location Variability Mean 0.751652 Std Deviation 0.67353 Median 0.748540 Variance 0.45365 Mode 0.770850 Range 2.64135 Interquartile Range 0.64194 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 6.410825 Pr > ІtІ <.0001 Sign M 9.5 Pr >= ІMІ 0.0013 Signed Rank S 248.5 Pr >= ІSІ <.0001 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.955473 Pr < W 0.1919 Kolmogorov-Smirnov D 0.117974 Pr > D >0.1500 Cramer-von Mises W-Sq 0.085232 Pr > W-Sq 0.1763 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 44 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 The UNIVARIATE Procedure Variable: LNDOPA Tests for Normality Test --Statistic--- -----p Value------ Anderson-Darling A-Sq 0.526527 Pr > A-Sq 0.1735 Quantiles (Definition 5) Quantile Estimate 100% Max 2.23045 99% 2.23045 95% 2.12385 90% 1.68124 75% Q3 1.01284 50% Median 0.74854 25% Q1 0.37090 10% -0.12413 5% -0.27061 1% -0.41090 0% Min -0.41090 Extreme Observations ------Lowest----- -----Highest----- Value Obs Value Obs -0.41090 14 1.53148 21 -0.27061 15 1.68124 19 -0.14857 6 2.03743 22 -0.12413 2 2.12385 20 -0.03750 10 2.23045 24 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 45 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 The UNIVARIATE Procedure Variable: LNDOPA Frequency Counts Percents Percents Percents Percents Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum -0.41090 1 3.0 3.0 0.37090 1 3.0 27.3 0.74854 1 3.0 51.5 1.18469 1 3.0 78.8 -0.27061 1 3.0 6.1 0.38021 1 3.0 30.3 0.77085 2 6.1 57.6 1.20508 1 3.0 81.8 -0.14857 1 3.0 9.1 0.60756 1 3.0 33.3 0.77815 1 3.0 60.6 1.23045 1 3.0 84.8 -0.12413 1 3.0 12.1 0.61626 1 3.0 36.4 0.78271 1 3.0 63.6 1.53148 1 3.0 87.9 -0.03750 1 3.0 15.2 0.63996 1 3.0 39.4 0.92942 1 3.0 66.7 1.68124 1 3.0 90.9 -0.03376 1 3.0 18.2 0.65321 1 3.0 42.4 0.95424 1 3.0 69.7 2.03743 1 3.0 93.9 -0.02556 1 3.0 21.2 0.71693 1 3.0 45.5 0.99543 1 3.0 72.7 2.12385 1 3.0 97.0 0.17472 1 3.0 24.2 0.72811 1 3.0 48.5 1.01284 1 3.0 75.8 2.23045 1 3.0 100.0 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 46 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 The UNIVARIATE Procedure Variable: LNDOPA Stem Leaf # Boxplot Normal Probability Plot 22 3 1 0 2.3+ *+++ 20 42 2 0 І * * +++ 18 І +++ 16 8 1 І І *+++ 14 3 1 І І +*+ 12 13 2 І І +*+* 10 018 3 +-----+ І ++** 8 35 2 І І 0.9+ +++*** 6 12452357788 11 *--+--* І ********* 4 І І І +++ 2 78 2 +-----+ І ++* 0 7 1 І І +++ * -0 52433 5 І І *+*** * -2 7 1 І І *++ -4 1 1 І -0.5+ *+++ ----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+ Multiply Stem.Leaf by 10**-1 -2 -1 0 +1 +2 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 47 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 DOPA щ 200 ъ щ щ щ * щ 150 ъ щ щ * щ щ * 100 ъ + щ + щ + щ + щ + + 50 ъ + + + * щ + + + щ + + * щ + + + * * * щ + + ** * * * ** * * * 0 ъ * * * * * * * * * * * ** * щ + + + щ + + щ + щ + -50 ъ + щ + щ щ щ -100 ъ шттъттттттттттъттттттттттъттттттттттъттттттттттъттттттттттъттттттттттъттттттттттъттттттттттъттттттттттъттттттттттътт -2.5 -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5 Normal ranks (*) and Reference line (+) NOTE: 6 obs hidden. NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 48 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 LNDOPA щ щ 2.5 ъ щ щ * щ * + 2.0 ъ * щ + щ + щ * 1.5 ъ * щ + + щ + * * щ + + + * 1.0 ъ ++ * * * щ + + * щ ** * * * * щ * ** * + 0.5 ъ ++ щ * * + щ + щ + + * 0.0 ъ * * * щ * * щ * + щ * + -0.5 ъ щ + щ щ -1.0 ъ щ шттъттттттттттъттттттттттъттттттттттъттттттттттъттттттттттъттттттттттъттттттттттъттттттттттъттттттттттъттттттттттътт -2.5 -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5 Normal ranks (*) and Reference line (+) NOTE: 11 obs hidden. NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 49 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=control -------------------------------------------------------- The UNIVARIATE Procedure Variable: DOPA Moments N 18 Sum Weights 18 Mean 3.87333333 Sum Observations 69.72 Std Deviation 4.00974174 Variance 16.0780288 Skewness 1.85155829 Kurtosis 4.15951154 Uncorrected SS 543.37529 Corrected SS 273.32649 Coeff Variation 103.521732 Std Error Mean 0.94510519 Basic Statistical Measures Location Variability Mean 3.873333 Std Deviation 4.00974 Median 3.200000 Variance 16.07803 Mode . Range 15.64800 Interquartile Range 4.43000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 4.098309 Pr > ІtІ 0.0007 Sign M 9 Pr >= ІMІ <.0001 Signed Rank S 85.5 Pr >= ІSІ <.0001 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 50 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=control -------------------------------------------------------- The UNIVARIATE Procedure Variable: DOPA Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.790918 Pr < W 0.0011 Kolmogorov-Smirnov D 0.192364 Pr > D 0.0778 Cramer-von Mises W-Sq 0.179623 Pr > W-Sq 0.0086 Anderson-Darling A-Sq 1.186157 Pr > A-Sq <0.0050 Quantiles (Definition 5) Quantile Estimate 100% Max 16.036 99% 16.036 95% 16.036 90% 9.895 75% Q3 5.347 50% Median 3.200 25% Q1 0.917 10% 0.536 5% 0.388 1% 0.388 0% Min 0.388 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 51 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=control -------------------------------------------------------- The UNIVARIATE Procedure Variable: DOPA Extreme Observations -----Lowest---- -----Highest---- Value Obs Value Obs 0.388 14 5.347 16 0.536 15 5.605 5 0.710 6 6.063 17 0.751 2 9.895 9 0.917 10 16.036 1 Frequency Counts Percents Percents Percents Percents Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum 0.388 1 5.6 5.6 0.925 1 5.6 33.3 4.133 1 5.6 61.1 5.605 1 5.6 83.3 0.536 1 5.6 11.1 0.943 1 5.6 38.9 4.365 1 5.6 66.7 6.063 1 5.6 88.9 0.710 1 5.6 16.7 1.495 1 5.6 44.4 5.211 1 5.6 72.2 9.895 1 5.6 94.4 0.751 1 5.6 22.2 2.349 1 5.6 50.0 5.347 1 5.6 77.8 16.036 1 5.6 100.0 0.917 1 5.6 27.8 4.051 1 5.6 55.6 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 52 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=control -------------------------------------------------------- The UNIVARIATE Procedure Variable: DOPA Stem Leaf # Boxplot Normal Probability Plot 16 0 1 0 17+ * 14 І 12 І +++++ 10 І +++++ 8 9 1 І 9+ ++*++ 6 1 1 І І +++++* 4 114236 6 +-----+ І **+** ** 2 3 1 *--+--* І +++*+ 0 45789995 8 +-----+ 1+ * * * +**+** * ----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 53 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=control -------------------------------------------------------- The UNIVARIATE Procedure Variable: LNDOPA Moments N 18 Sum Weights 18 Mean 0.363065 Sum Observations 6.53517 Std Deviation 0.47877199 Variance 0.22922262 Skewness -0.0203277 Kurtosis -1.2478952 Uncorrected SS 6.26947598 Corrected SS 3.89678448 Coeff Variation 131.869497 Std Error Mean 0.11284764 Basic Statistical Measures Location Variability Mean 0.363065 Std Deviation 0.47877 Median 0.489230 Variance 0.22922 Mode . Range 1.61598 Interquartile Range 0.76561 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 3.217303 Pr > ІtІ 0.0051 Sign M 2 Pr >= ІMІ 0.4807 Signed Rank S 54.5 Pr >= ІSІ 0.0159 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 54 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=control -------------------------------------------------------- The UNIVARIATE Procedure Variable: LNDOPA Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.935195 Pr < W 0.2394 Kolmogorov-Smirnov D 0.195209 Pr > D 0.0695 Cramer-von Mises W-Sq 0.106987 Pr > W-Sq 0.0865 Anderson-Darling A-Sq 0.571056 Pr > A-Sq 0.1230 Quantiles (Definition 5) Quantile Estimate 100% Max 1.20508 99% 1.20508 95% 1.20508 90% 0.99543 75% Q3 0.72811 50% Median 0.48923 25% Q1 -0.03750 10% -0.27061 5% -0.41090 1% -0.41090 0% Min -0.41090 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 55 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=control -------------------------------------------------------- The UNIVARIATE Procedure Variable: LNDOPA Extreme Observations ------Lowest----- -----Highest----- Value Obs Value Obs -0.41090 14 0.72811 16 -0.27061 15 0.74854 5 -0.14857 6 0.78271 17 -0.12413 2 0.99543 9 -0.03750 10 1.20508 1 Frequency Counts Percents Percents Percents Percents Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum -0.41090 1 5.6 5.6 -0.03376 1 5.6 33.3 0.61626 1 5.6 61.1 0.74854 1 5.6 83.3 -0.27061 1 5.6 11.1 -0.02556 1 5.6 38.9 0.63996 1 5.6 66.7 0.78271 1 5.6 88.9 -0.14857 1 5.6 16.7 0.17472 1 5.6 44.4 0.71693 1 5.6 72.2 0.99543 1 5.6 94.4 -0.12413 1 5.6 22.2 0.37090 1 5.6 50.0 0.72811 1 5.6 77.8 1.20508 1 5.6 100.0 -0.03750 1 5.6 27.8 0.60756 1 5.6 55.6 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 56 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=control -------------------------------------------------------- The UNIVARIATE Procedure Variable: LNDOPA Stem Leaf # Boxplot Normal Probability Plot 12 1 1 І 1.3+ *+++ 10 0 1 І І ++++ 8 І І +++* 6 1242358 7 +-----+ 0.7+ ** **+**+ * 4 *-----* І ++++ 2 7 1 І + І І ++*+ 0 7 1 І І 0.1+ ++++ * -0 52433 5 +-----+ І *++** ** -2 7 1 І І ++*+ -4 1 1 І -0.5+ ++*++ ----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+ Multiply Stem.Leaf by 10**-1 -2 -1 0 +1 +2 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 57 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=neurblst ------------------------------------------------------- The UNIVARIATE Procedure Variable: DOPA Moments N 15 Sum Weights 15 Mean 38.5866667 Sum Observations 578.8 Std Deviation 53.7919918 Variance 2893.57838 Skewness 1.679039 Kurtosis 1.6314953 Uncorrected SS 62844.06 Corrected SS 40510.0973 Coeff Variation 139.405646 Std Error Mean 13.8890326 Basic Statistical Measures Location Variability Mean 38.58667 Std Deviation 53.79199 Median 10.30000 Variance 2894 Mode 5.90000 Range 167.60000 Interquartile Range 42.10000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 2.778211 Pr > ІtІ 0.0148 Sign M 7.5 Pr >= ІMІ <.0001 Signed Rank S 60 Pr >= ІSІ <.0001 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 58 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=neurblst ------------------------------------------------------- The UNIVARIATE Procedure Variable: DOPA Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.690309 Pr < W 0.0002 Kolmogorov-Smirnov D 0.322567 Pr > D <0.0100 Cramer-von Mises W-Sq 0.400772 Pr > W-Sq <0.0050 Anderson-Darling A-Sq 2.085257 Pr > A-Sq <0.0050 Quantiles (Definition 5) Quantile Estimate 100% Max 170.0 99% 170.0 95% 170.0 90% 133.0 75% Q3 48.0 50% Median 10.3 25% Q1 5.9 10% 4.5 5% 2.4 1% 2.4 0% Min 2.4 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 59 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=neurblst ------------------------------------------------------- The UNIVARIATE Procedure Variable: DOPA Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 2.4 13 34 3 4.5 5 48 1 5.9 15 109 4 5.9 14 133 2 6.0 9 170 6 Frequency Counts Percents Percents Percents Percents Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum 2.4 1 6.7 6.7 8.5 1 6.7 40.0 17.0 1 6.7 66.7 109.0 1 6.7 86.7 4.5 1 6.7 13.3 9.0 1 6.7 46.7 34.0 1 6.7 73.3 133.0 1 6.7 93.3 5.9 2 13.3 26.7 10.3 1 6.7 53.3 48.0 1 6.7 80.0 170.0 1 6.7 100.0 6.0 1 6.7 33.3 15.3 1 6.7 60.0 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 60 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=neurblst ------------------------------------------------------- The UNIVARIATE Procedure Variable: DOPA Stem Leaf # Boxplot Normal Probability Plot 16 0 1 0 170+ * +++ 14 І ++++ 12 3 1 0 І * +++ 10 9 1 І І * ++++ 8 І 90+ ++++ 6 І І ++++ 4 8 1 +-----+ І +++ * 2 4 1 І + І І ++++ * 0 2466689057 10 *-----* 10+ * * * ++*+** * ** ----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+ Multiply Stem.Leaf by 10**+1 -2 -1 0 +1 +2 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 61 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=neurblst ------------------------------------------------------- The UNIVARIATE Procedure Variable: LNDOPA Moments N 15 Sum Weights 15 Mean 1.21795733 Sum Observations 18.26936 Std Deviation 0.57572208 Variance 0.33145591 Skewness 0.59558441 Kurtosis -0.8122927 Uncorrected SS 26.8916838 Corrected SS 4.64038276 Coeff Variation 47.2694784 Std Error Mean 0.1486508 Basic Statistical Measures Location Variability Mean 1.217957 Std Deviation 0.57572 Median 1.012840 Variance 0.33146 Mode 0.770850 Range 1.85024 Interquartile Range 0.91039 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 8.193412 Pr > ІtІ <.0001 Sign M 7.5 Pr >= ІMІ <.0001 Signed Rank S 60 Pr >= ІSІ <.0001 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 62 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=neurblst ------------------------------------------------------- The UNIVARIATE Procedure Variable: LNDOPA Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.918478 Pr < W 0.1826 Kolmogorov-Smirnov D 0.172517 Pr > D >0.1500 Cramer-von Mises W-Sq 0.088893 Pr > W-Sq 0.1467 Anderson-Darling A-Sq 0.529615 Pr > A-Sq 0.1497 Quantiles (Definition 5) Quantile Estimate 100% Max 2.23045 99% 2.23045 95% 2.23045 90% 2.12385 75% Q3 1.68124 50% Median 1.01284 25% Q1 0.77085 10% 0.65321 5% 0.38021 1% 0.38021 0% Min 0.38021 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 63 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=neurblst ------------------------------------------------------- The UNIVARIATE Procedure Variable: LNDOPA Extreme Observations ------Lowest----- -----Highest----- Value Obs Value Obs 0.38021 13 1.53148 3 0.65321 5 1.68124 1 0.77085 15 2.03743 4 0.77085 14 2.12385 2 0.77815 9 2.23045 6 Frequency Counts Percents Percents Percents Percents Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum 0.38021 1 6.7 6.7 0.92942 1 6.7 40.0 1.23045 1 6.7 66.7 2.03743 1 6.7 86.7 0.65321 1 6.7 13.3 0.95424 1 6.7 46.7 1.53148 1 6.7 73.3 2.12385 1 6.7 93.3 0.77085 2 13.3 26.7 1.01284 1 6.7 53.3 1.68124 1 6.7 80.0 2.23045 1 6.7 100.0 0.77815 1 6.7 33.3 1.18469 1 6.7 60.0 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 64 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 ------------------------------------------------------- GROUP=neurblst ------------------------------------------------------- The UNIVARIATE Procedure Variable: LNDOPA Stem Leaf # Boxplot Normal Probability Plot 2 012 3 І 2.25+ * * +++*+++++ 1 57 2 +-----+ І *+*++++++ 1 0022 4 *--+--* 1.25+ +++*+**+ 0 78889 5 +-----+ І *++*+++*+** 0 4 1 І 0.25+ ++++*++++ ----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 65 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 The UNIVARIATE Procedure Variable: DOPA Schematic Plots І 175 + І 0 І І 150 + І І І 0 125 + І І І І 100 + І І І І І І І 75 + І І І І І І І 50 + +-----+ І І І І І + І І І І 25 + І І І 0 І І І І *-----* І *--+--* +-----+ 0 + +-----+ І ------------+-----------+----------- GROUP control neurblst NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 66 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 The UNIVARIATE Procedure Variable: LNDOPA Schematic Plots І 2.5 + І І І І І 2 + І І І І І І +-----+ 1.5 + І І І І І І І І + І І І І І 1 + І *-----* І І І І І +-----+ +-----+ І І І І 0.5 + *-----* І І І + І І І І І І І І 0 + +-----+ І І І І І І -0.5 + ------------+-----------+----------- GROUP control neurblst NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 67 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 20 ъ щ щ щ щ щ * 15 ъ щ щ DOPA щ щ щ + 10 ъ * щ + щ + щ + щ + щ + * * 5 ъ + + * * щ * * * щ + + щ + * щ + * щ * * * * * * 0 ъ * + щ щ + щ щ + щ -5 ъ шттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътт -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 Normal ranks (*) and Reference line (+) NOTE: 3 obs hidden. NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 68 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 LNDOPA щ 1.5 ъ щ щ щ щ * щ щ 1.0 ъ * щ щ + щ + * щ * * * щ * * * щ + 0.5 ъ + щ + + щ * щ + щ + щ + * щ + 0.0 ъ * * щ + * щ * * щ щ * щ щ * -0.5 ъ + щ шттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътт -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 Normal ranks (*) and Reference line (+) NOTE: 6 obs hidden. NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 69 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 200 ъ щ щ щ * щ 150 ъ щ щ * + щ щ * + 100 ъ щ + DOPA щ + щ + щ + 50 ъ + * щ + щ + * щ + * * щ * * * * * 0 ъ * * щ + щ щ + щ -50 ъ + щ щ щ щ -100 ъ шттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътт -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 Normal ranks (*) and Reference line (+) NOTE: 3 obs hidden. NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 70 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 2.5 ъ щ щ щ * щ щ * 2.0 ъ * щ + щ LNDOPA щ + щ * щ 1.5 ъ * щ + щ + щ + * щ * щ + 1.0 ъ + * щ + * * щ щ * * щ * щ 0.5 ъ + щ * щ щ + щ щ 0.0 ъ шттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътттттттттттттътт -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 Normal ranks (*) and Reference line (+) NOTE: 6 obs hidden. NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 71 Proc ttest -- for dopa and log(dopa) 15:37 Saturday, January 25, 2003 The TTEST Procedure Statistics Lower CL Upper CL Lower CL Upper CL Variable GROUP N Mean Mean Mean Std Dev Std Dev Std Dev Std Err Minimum Maximum DOPA control 18 1.8793 3.8733 5.8673 3.0089 4.0097 6.0112 0.9451 0.388 16.036 DOPA neurblst 15 8.7977 38.587 68.376 39.383 53.792 84.835 13.889 2.4 170 DOPA Diff (1-2) -60.58 -34.71 -8.851 29.079 36.271 48.222 12.68 LNDOPA control 18 0.125 0.3631 0.6012 0.3593 0.4788 0.7177 0.1128 -0.411 1.2051 LNDOPA neurblst 15 0.8991 1.218 1.5368 0.4215 0.5757 0.908 0.1487 0.3802 2.2305 LNDOPA Diff (1-2) -1.229 -0.855 -0.481 0.4207 0.5248 0.6977 0.1835 T-Tests Variable Method Variances DF t Value Pr > ІtІ DOPA Pooled Equal 31 -2.74 0.0102 DOPA Satterthwaite Unequal 14.1 -2.49 0.0257 LNDOPA Pooled Equal 31 -4.66 <.0001 LNDOPA Satterthwaite Unequal 27.3 -4.58 <.0001 Equality of Variances Variable Method Num DF Den DF F Value Pr > F DOPA Folded F 14 17 179.97 <.0001 LNDOPA Folded F 14 17 1.45 0.4655 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 72 Proc npar1way -- Wilcoxon rank sum test for dopa 15:37 Saturday, January 25, 2003 The NPAR1WAY Procedure Wilcoxon Scores (Rank Sums) for Variable DOPA Classified by Variable GROUP Sum of Expected Std Dev Mean GROUP N Scores Under H0 Under H0 Score тттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттт control 18 201.0 306.0 27.656322 11.166667 neurblst 15 360.0 255.0 27.656322 24.000000 Average scores were used for ties. Wilcoxon Two-Sample Test Statistic 360.0000 Normal Approximation Z 3.7785 One-Sided Pr > Z <.0001 Two-Sided Pr > ІZІ 0.0002 t Approximation One-Sided Pr > Z 0.0003 Two-Sided Pr > ІZІ 0.0006 Z includes a continuity correction of 0.5. Kruskal-Wallis Test Chi-Square 14.4142 DF 1 Pr > Chi-Square 0.0001 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 73 Proc rank -- Rank transformation of dopa 15:37 Saturday, January 25, 2003 Obs DOPA rankdopa 1 16.036 27.0 2 0.751 4.0 3 4.133 12.0 4 0.925 6.0 5 5.605 17.0 6 0.710 3.0 7 1.495 8.0 8 5.211 15.0 9 9.895 24.0 10 0.917 5.0 11 4.365 13.0 12 2.349 9.0 13 0.943 7.0 14 0.388 1.0 15 0.536 2.0 16 5.347 16.0 17 6.063 21.0 18 4.051 11.0 19 48.000 30.0 20 133.000 32.0 21 34.000 29.0 22 109.000 31.0 23 4.500 14.0 24 170.000 33.0 25 10.300 25.0 26 8.500 22.0 27 6.000 20.0 28 17.000 28.0 29 9.000 23.0 30 15.300 26.0 31 2.400 10.0 32 5.900 18.5 33 5.900 18.5 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 74 Proc ttest using rank transformation for dopa 15:37 Saturday, January 25, 2003 The TTEST Procedure Statistics Lower CL Upper CL Lower CL Upper CL Variable GROUP N Mean Mean Mean Std Dev Std Dev Std Dev Std Err Minimum Maximum rankdopa control 18 7.3708 11.167 14.963 5.7278 7.6331 11.443 1.7991 1 27 rankdopa neurblst 15 20.216 24 27.784 5.002 6.8322 10.775 1.7641 10 33 rankdopa Diff (1-2) -18.03 -12.83 -7.641 5.8383 7.2823 9.6817 2.5459 T-Tests Variable Method Variances DF t Value Pr > ІtІ rankdopa Pooled Equal 31 -5.04 <.0001 rankdopa Satterthwaite Unequal 30.8 -5.09 <.0001 Equality of Variances Variable Method Num DF Den DF F Value Pr > F rankdopa Folded F 17 14 1.25 0.6826 PAIRED PRE-POST DATA 15:37 Saturday, January 25, 2003 75 PROC UNIVARIATE assessment of normality and with paired t-test, and Wilcoxon signed rank test The UNIVARIATE Procedure Variable: DIFF Moments N 15 Sum Weights 15 Mean 7.93333333 Sum Observations 119 Std Deviation 9.93167132 Variance 98.6380952 Skewness -0.0460032 Kurtosis 0.35032791 Uncorrected SS 2325 Corrected SS 1380.93333 Coeff Variation 125.189134 Std Error Mean 2.56434651 Basic Statistical Measures Location Variability Mean 7.933333 Std Deviation 9.93167 Median 7.000000 Variance 98.63810 Mode . Range 38.00000 Interquartile Range 11.00000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 3.093706 Pr > ІtІ 0.0079 Sign M 5.5 Pr >= ІMІ 0.0074 Signed Rank S 46 Pr >= ІSІ 0.0065 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.967972 Pr < W 0.8270 Kolmogorov-Smirnov D 0.109223 Pr > D >0.1500 PAIRED PRE-POST DATA 15:37 Saturday, January 25, 2003 76 PROC UNIVARIATE assessment of normality and with paired t-test, and Wilcoxon signed rank test The UNIVARIATE Procedure Variable: DIFF Tests for Normality Test --Statistic--- -----p Value------ Cramer-von Mises W-Sq 0.035409 Pr > W-Sq >0.2500 Anderson-Darling A-Sq 0.250215 Pr > A-Sq >0.2500 Quantiles (Definition 5) Quantile Estimate 100% Max 25 99% 25 95% 25 90% 23 75% Q3 13 50% Median 7 25% Q1 2 10% -2 5% -13 1% -13 0% Min -13 Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs -13 6 12 5 -2 2 13 11 1 10 20 13 2 1 23 8 PAIRED PRE-POST DATA 15:37 Saturday, January 25, 2003 77 PROC UNIVARIATE assessment of normality and with paired t-test, and Wilcoxon signed rank test The UNIVARIATE Procedure Variable: DIFF Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 3 15 25 3 Stem Leaf # Boxplot Normal Probability Plot 2 5 1 І 27.5+ *+++++ 2 03 2 І І * *+++++ 1 І І +++++ 1 023 3 +-----+ І *+*+* 0 579 3 *--+--* 7.5+ *+*+* 0 1234 4 +-----+ І * *+*+* -0 2 1 І І +*++++ -0 І І +++++ -1 3 1 І -12.5+ +++++ * ----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+ Multiply Stem.Leaf by 10**+1 -2 -1 0 +1 +2 PAIRED PRE-POST DATA 15:37 Saturday, January 25, 2003 78 paired t-test conducted using PROC MEANS The MEANS Procedure Analysis Variable : DIFF N Sum Mean Std Dev Std Error t Value Pr > ІtІ ттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттт 15 119.0000000 7.9333333 9.9316713 2.5643465 3.09 0.0079 ттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттттт ASSOCIATION BETWEEN RACE AND CANCER SEVERITY 15:37 Saturday, January 25, 2003 79 The FREQ Procedure Table of grade by race grade race Frequencyщ Expected щ Percent щ Row Pct щ Col Pct щblack щwhite щ Total тттттттттъттттттттъттттттттъ 1 щ 18 щ 240 щ 258 щ 36.314 щ 221.69 щ щ 2.95 щ 39.28 щ 42.23 щ 6.98 щ 93.02 щ щ 20.93 щ 45.71 щ тттттттттъттттттттъттттттттъ 2 щ 36 щ 173 щ 209 щ 29.417 щ 179.58 щ щ 5.89 щ 28.31 щ 34.21 щ 17.22 щ 82.78 щ щ 41.86 щ 32.95 щ тттттттттъттттттттъттттттттъ 3 щ 32 щ 112 щ 144 щ 20.268 щ 123.73 щ щ 5.24 щ 18.33 щ 23.57 щ 22.22 щ 77.78 щ щ 37.21 щ 21.33 щ тттттттттъттттттттъттттттттъ Total 86 525 611 14.08 85.92 100.00 ASSOCIATION BETWEEN RACE AND CANCER SEVERITY 15:37 Saturday, January 25, 2003 80 The FREQ Procedure Statistics for Table of grade by race Statistic DF Value Prob тттттттттттттттттттттттттттттттттттттттттттттттттттттт Chi-Square 2 20.3663 <.0001 Likelihood Ratio Chi-Square 2 21.3666 <.0001 Mantel-Haenszel Chi-Square 1 19.5733 <.0001 Phi Coefficient 0.1826 Contingency Coefficient 0.1796 Cramer's V 0.1826 Statistic Value ASE тттттттттттттттттттттттттттттттттттттттттттттттттттттт Gamma -0.4092 0.0780 Kendall's Tau-b -0.1716 0.0360 Stuart's Tau-c -0.1360 0.0302 Somers' D CІR -0.1048 0.0232 Somers' D RІC -0.2812 0.0578 Pearson Correlation -0.1791 0.0389 Spearman Correlation -0.1814 0.0380 Lambda Asymmetric CІR 0.0000 0.0000 Lambda Asymmetric RІC 0.0510 0.0203 Lambda Symmetric 0.0410 0.0162 Uncertainty Coefficient CІR 0.0430 0.0175 Uncertainty Coefficient RІC 0.0163 0.0068 Uncertainty Coefficient Symmetric 0.0237 0.0098 Sample Size = 611