NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 38 15:37 Saturday, January 25, 2003
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1 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 38 15:37 Saturday, January 25, 2003 Obs GROUP I DOPA LNDOPA 1 neurblst neurblst neurblst neurblst neurblst neurblst neurblst neurblst neurblst neurblst neurblst neurblst neurblst neurblst neurblst control control control control control control control control control control control control control control control control control control
2 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 39 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 Variable: DOPA Moments N 33 Sum Weights 33 Mean Sum Observations Std Deviation Variance Skewness Kurtosis Uncorrected SS Corrected SS Coeff Variation Std Error Mean Basic Statistical Measures Location Variability Mean Std Deviation Median Variance 1583 Mode Range Interquartile Range Tests for Location: Mu0=0 Test -Statistic p Value Student's t t Pr > t Sign M 16.5 Pr >= M <.0001 Signed Rank S Pr >= S <.0001 Tests for Normality Test --Statistic p Value Shapiro-Wilk W Pr < W < Kolmogorov-Smirnov D Pr > D <0.0100
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4 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 40 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 Variable: DOPA Tests for Normality Test --Statistic p Value Anderson-Darling A-Sq Pr > A-Sq < Quantiles (Definition 5) Quantile Estimate 100% Max % % % % Q % Median % Q % % % % Min Extreme Observations -----Lowest Highest--- Value Obs Value Obs
5 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 41 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 Variable: DOPA Frequency Counts Percents Percents Percents Percents Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum
6 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 42 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 Variable: DOPA Stem Leaf # Boxplot Normal Probability Plot * 170+ * * * * * * * * * * * *** ***************** * Multiply Stem.Leaf by 10**
7 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 43 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 Variable: LNDOPA Moments N 33 Sum Weights 33 Mean Sum Observations Std Deviation Variance Skewness Kurtosis Uncorrected SS Corrected SS Coeff Variation Std Error Mean Basic Statistical Measures Location Variability Mean Std Deviation Median Variance Mode Range Interquartile Range Tests for Location: Mu0=0 Test -Statistic p Value Student's t t Pr > t <.0001 Sign M 9.5 Pr >= M Signed Rank S Pr >= S <.0001 Tests for Normality Test --Statistic p Value Shapiro-Wilk W Pr < W Kolmogorov-Smirnov D Pr > D >0.1500
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9 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 44 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 Variable: LNDOPA Tests for Normality Test --Statistic p Value Anderson-Darling A-Sq Pr > A-Sq Quantiles (Definition 5) Quantile Estimate 100% Max % % % % Q % Median % Q % % % % Min Extreme Observations Lowest Highest----- Value Obs Value Obs
10 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 45 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 Variable: LNDOPA Frequency Counts Percents Percents Percents Percents Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum
11 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 46 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 Variable: LNDOPA Stem Leaf # Boxplot Normal Probability Plot * * * * * *+* ** *** *--+--* ********* * * *+*** * * * Multiply Stem.Leaf by 10**
12 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 47 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 DOPA 200 ˆ * 150 ˆ * * 100 ˆ ˆ * * * * * + + ** * * * ** * * * 0 ˆ * * * * * * * * * * * ** * ˆ ˆ Šƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒ Normal ranks (*) and Reference line (+) NOTE: 6 obs hidden.
13 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 48 Proc univariate -- combined groups 15:37 Saturday, January 25, 2003 LNDOPA 2.5 ˆ * * ˆ * + + * 1.5 ˆ * * * * 1.0 ˆ ++ * * * + + * ** * * * * * ** * ˆ ++ * * * 0.0 ˆ * * * * * * + * ˆ ˆ Šƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒ Normal ranks (*) and Reference line (+) NOTE: 11 obs hidden.
14 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 49 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=control Variable: DOPA Moments N 18 Sum Weights 18 Mean Sum Observations Std Deviation Variance Skewness Kurtosis Uncorrected SS Corrected SS Coeff Variation Std Error Mean Basic Statistical Measures Location Variability Mean Std Deviation Median Variance Mode. Range Interquartile Range Tests for Location: Mu0=0 Test -Statistic p Value Student's t t Pr > t Sign M 9 Pr >= M <.0001 Signed Rank S 85.5 Pr >= S <.0001
15 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 50 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=control Variable: DOPA Tests for Normality Test --Statistic p Value Shapiro-Wilk W Pr < W Kolmogorov-Smirnov D Pr > D Cramer-von Mises W-Sq Pr > W-Sq Anderson-Darling A-Sq Pr > A-Sq < Quantiles (Definition 5) Quantile Estimate 100% Max % % % % Q % Median % Q % % % % Min 0.388
16 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 51 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=control Variable: DOPA Extreme Observations -----Lowest Highest---- Value Obs Value Obs Frequency Counts Percents Percents Percents Percents Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum
17 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 52 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=control Variable: DOPA Stem Leaf # Boxplot Normal Probability Plot * * * **+** ** *--+--* +++* * * * +**+** *
18 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 53 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=control Variable: LNDOPA Moments N 18 Sum Weights 18 Mean Sum Observations Std Deviation Variance Skewness Kurtosis Uncorrected SS Corrected SS Coeff Variation Std Error Mean Basic Statistical Measures Location Variability Mean Std Deviation Median Variance Mode. Range Interquartile Range Tests for Location: Mu0=0 Test -Statistic p Value Student's t t Pr > t Sign M 2 Pr >= M Signed Rank S 54.5 Pr >= S
19 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 54 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=control Variable: LNDOPA Tests for Normality Test --Statistic p Value Shapiro-Wilk W Pr < W Kolmogorov-Smirnov D Pr > D Cramer-von Mises W-Sq Pr > W-Sq Anderson-Darling A-Sq Pr > A-Sq Quantiles (Definition 5) Quantile Estimate 100% Max % % % % Q % Median % Q % % % % Min
20 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 55 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=control Variable: LNDOPA Extreme Observations Lowest Highest----- Value Obs Value Obs Frequency Counts Percents Percents Percents Percents Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum
21 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 56 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=control Variable: LNDOPA Stem Leaf # Boxplot Normal Probability Plot * * ** **+**+ * 4 *-----* * * *++** ** * * Multiply Stem.Leaf by 10**
22 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 57 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=neurblst Variable: DOPA Moments N 15 Sum Weights 15 Mean Sum Observations Std Deviation Variance Skewness Kurtosis Uncorrected SS Corrected SS Coeff Variation Std Error Mean Basic Statistical Measures Location Variability Mean Std Deviation Median Variance 2894 Mode Range Interquartile Range Tests for Location: Mu0=0 Test -Statistic p Value Student's t t Pr > t Sign M 7.5 Pr >= M <.0001 Signed Rank S 60 Pr >= S <.0001
23 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 58 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=neurblst Variable: DOPA Tests for Normality Test --Statistic p Value Shapiro-Wilk W Pr < W Kolmogorov-Smirnov D Pr > D < Cramer-von Mises W-Sq Pr > W-Sq < Anderson-Darling A-Sq Pr > A-Sq < Quantiles (Definition 5) Quantile Estimate 100% Max % % % % Q % Median % Q % 4.5 5% 2.4 1% 2.4 0% Min 2.4
24 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 59 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=neurblst Variable: DOPA Extreme Observations ----Lowest Highest--- Value Obs Value Obs Frequency Counts Percents Percents Percents Percents Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum
25 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 60 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=neurblst Variable: DOPA Stem Leaf # Boxplot Normal Probability Plot * * * * * *-----* 10+ * * * ++*+** * ** Multiply Stem.Leaf by 10**
26 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 61 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=neurblst Variable: LNDOPA Moments N 15 Sum Weights 15 Mean Sum Observations Std Deviation Variance Skewness Kurtosis Uncorrected SS Corrected SS Coeff Variation Std Error Mean Basic Statistical Measures Location Variability Mean Std Deviation Median Variance Mode Range Interquartile Range Tests for Location: Mu0=0 Test -Statistic p Value Student's t t Pr > t <.0001 Sign M 7.5 Pr >= M <.0001 Signed Rank S 60 Pr >= S <.0001
27 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 62 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=neurblst Variable: LNDOPA Tests for Normality Test --Statistic p Value Shapiro-Wilk W Pr < W Kolmogorov-Smirnov D Pr > D > Cramer-von Mises W-Sq Pr > W-Sq Anderson-Darling A-Sq Pr > A-Sq Quantiles (Definition 5) Quantile Estimate 100% Max % % % % Q % Median % Q % % % % Min
28 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 63 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=neurblst Variable: LNDOPA Extreme Observations Lowest Highest----- Value Obs Value Obs Frequency Counts Percents Percents Percents Percents Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum Value Count Cell Cum
29 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 64 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, GROUP=neurblst Variable: LNDOPA Stem Leaf # Boxplot Normal Probability Plot * * +++* *+* *--+--* *+** *++*+++*+** *
30 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 65 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 Variable: DOPA Schematic Plots *-----* *--+--* GROUP control neurblst
31 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 66 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 Variable: LNDOPA Schematic Plots *-----* *-----* GROUP control neurblst
32 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 67 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, ˆ * 15 ˆ DOPA + 10 ˆ * * * 5 ˆ + + * * * * * * + * * * * * * * 0 ˆ * ˆ Šƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒ Normal ranks (*) and Reference line (+) NOTE: 3 obs hidden.
33 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 68 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, 2003 LNDOPA 1.5 ˆ * 1.0 ˆ * + + * * * * * * * ˆ * * ˆ * * + * * * * * -0.5 ˆ + Šƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒ Normal ranks (*) and Reference line (+) NOTE: 6 obs hidden.
34 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 69 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, ˆ * 150 ˆ * + * ˆ + DOPA ˆ + * + + * + * * * * * * * 0 ˆ * * ˆ ˆ Šƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒ Normal ranks (*) and Reference line (+) NOTE: 3 obs hidden.
35 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 70 Proc univariate for dopa and log(dopa)-- stratified by group 15:37 Saturday, January 25, ˆ * * 2.0 ˆ * + LNDOPA + * 1.5 ˆ * * * ˆ + * + * * * * * 0.5 ˆ + * ˆ Šƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒ Normal ranks (*) and Reference line (+) NOTE: 6 obs hidden.
36 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 DOPA neurblst DOPA Diff (1-2) LNDOPA control LNDOPA neurblst LNDOPA Diff (1-2) T-Tests Variable Method Variances DF t Value Pr > t DOPA Pooled Equal DOPA Satterthwaite Unequal LNDOPA Pooled Equal <.0001 LNDOPA Satterthwaite Unequal <.0001 Equality of Variances Variable Method Num DF Den DF F Value Pr > F DOPA Folded F <.0001 LNDOPA Folded F
37 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 ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ control neurblst Average scores were used for ties. Wilcoxon Two-Sample Test Statistic Normal Approximation Z One-Sided Pr > Z <.0001 Two-Sided Pr > Z t Approximation One-Sided Pr > Z Two-Sided Pr > Z Z includes a continuity correction of 0.5. Kruskal-Wallis Test Chi-Square DF 1 Pr > Chi-Square
38 NEUROBLASTOMA DATA -- TWO GROUPS -- QUANTITATIVE MEASURES 73 Proc rank -- Rank transformation of dopa 15:37 Saturday, January 25, 2003 Obs DOPA rankdopa
39 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 rankdopa neurblst rankdopa Diff (1-2) T-Tests Variable Method Variances DF t Value Pr > t rankdopa Pooled Equal <.0001 rankdopa Satterthwaite Unequal <.0001 Equality of Variances Variable Method Num DF Den DF F Value Pr > F rankdopa Folded F
40 PAIRED PRE-POST DATA 15:37 Saturday, January 25, PROC UNIVARIATE assessment of normality and with paired t-test, and Wilcoxon signed rank test Variable: DIFF Moments N 15 Sum Weights 15 Mean Sum Observations 119 Std Deviation Variance Skewness Kurtosis Uncorrected SS 2325 Corrected SS Coeff Variation Std Error Mean Basic Statistical Measures Location Variability Mean Std Deviation Median Variance Mode. Range Interquartile Range Tests for Location: Mu0=0 Test -Statistic p Value Student's t t Pr > t Sign M 5.5 Pr >= M Signed Rank S 46 Pr >= S Tests for Normality Test --Statistic p Value Shapiro-Wilk W Pr < W
41
42 PAIRED PRE-POST DATA 15:37 Saturday, January 25, PROC UNIVARIATE assessment of normality and with paired t-test, and Wilcoxon signed rank test Variable: DIFF Tests for Normality Test --Statistic p Value Cramer-von Mises W-Sq Pr > W-Sq > Anderson-Darling A-Sq Pr > A-Sq > Quantiles (Definition 5) Quantile Estimate 100% Max 25 99% 25 95% 25 90% 23 75% Q % Median 7 25% Q1 2 10% -2 5% -13 1% -13 0% Min -13 Extreme Observations ----Lowest Highest--- Value Obs Value Obs
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44 PAIRED PRE-POST DATA 15:37 Saturday, January 25, PROC UNIVARIATE assessment of normality and with paired t-test, and Wilcoxon signed rank test Variable: DIFF Extreme Observations ----Lowest Highest--- Value Obs Value Obs Stem Leaf # Boxplot Normal Probability Plot * * * *+*+* *--+--* 7.5+ *+*+* * *+*+* * * Multiply Stem.Leaf by 10**
45 PAIRED PRE-POST DATA 15:37 Saturday, January 25, paired t-test conducted using PROC MEANS The MEANS Procedure Analysis Variable : DIFF N Sum Mean Std Dev Std Error t Value Pr > t ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
46 ASSOCIATION BETWEEN RACE AND CANCER SEVERITY 15:37 Saturday, January 25, The FREQ Procedure Table of grade by race grade race Frequency Expected Percent Row Pct Col Pct black white Total ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ Total
47 ASSOCIATION BETWEEN RACE AND CANCER SEVERITY 15:37 Saturday, January 25, The FREQ Procedure Statistics for Table of grade by race Statistic DF Value Prob ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ Chi-Square <.0001 Likelihood Ratio Chi-Square <.0001 Mantel-Haenszel Chi-Square <.0001 Phi Coefficient Contingency Coefficient Cramer's V Statistic Value ASE ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ Gamma Kendall's Tau-b Stuart's Tau-c Somers' D C R Somers' D R C Pearson Correlation Spearman Correlation Lambda Asymmetric C R Lambda Asymmetric R C Lambda Symmetric Uncertainty Coefficient C R Uncertainty Coefficient R C Uncertainty Coefficient Symmetric Sample Size = 611
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