StatXact version 6 !Cytel Studio (1.0.0) >>> DA ! Datafile: ! Table 1 of 1 !------------------------------------------------------! | Table1 | col1 | col2 | TOTAL | |------------|-------------|-------------|-------------| | row1 | 6 | 4 | 10 | |------------|-------------|-------------|-------------| | TOTAL | 6 | 4 | 10 | !----------------------------------------!-------------- !One Sample Rates and Proportions:One Binomial >>> OB BI/EX /SC=3 /CI=0.9200 /MC=0.9900 /CR=10000 /FR=1000 /IM=1000 /TI=NONE /PR=0.140000 /H1=0.500000 /AL=0.050000 /BStill Datafile: ESTIMATION OF BINOMIAL PARAMETER (PI) Number of Trials =10 Number of Successes =4 Maximum Likelihood Estimate of PI = 0.4000 92.00% Confidence Interval for PI: (Clopper-Pearson) = ( 0.1400 , 0.7106) (Blyth-Still-Casella) = ( 0.1742 , 0.6891) Exact P-values for testing PI = 0.1400 One-sided : Pr { T .GE. 4 } = 0.0400 Pr { T .EQ. 4 } = 0.0326 Two-sided : 2 * One-sided = 0.0799 (Note: In this example I have set the confidence coefficient coefficient to 92%. At this confidence level the lower confidence bound of the Clopper-Pearson confidence interval just touches 0.14. Therefore the one-sided p-value for testing the hypothesis that pi=0.14, based on Clopper-Pearson, is (1-0.92)/2 = 0.04.) !One Sample Rates and Proportions:One Binomial >>> OB BI/EX /SC=3 /CI=0.9600 /MC=0.9900 /CR=10000 /FR=1000 /IM=1000 /TI=NONE /PR=0.140000 /H1=0.500000 /AL=0.050000 /BStill Datafile: ESTIMATION OF BINOMIAL PARAMETER (PI) Number of Trials =10 Number of Successes =4 Maximum Likelihood Estimate of PI = 0.4000 96.00% Confidence Interval for PI: (Clopper-Pearson) = ( 0.1138 , 0.7493) (Blyth-Still-Casella) = ( 0.1400 , 0.7106) Exact P-values for testing PI = 0.1400 One-sided : Pr { T .GE. 4 } = 0.0400 Pr { T .EQ. 4 } = 0.0326 Two-sided : 2 * One-sided = 0.0799 (Note:In this example I have set the confidence coefficient coefficient to 96%. At this confidence level the lower confidence bound of the Blyth-Still-Casella confidence interval just touches 0.14. Therefore the one-sided p-value for testing the hypothesis that pi=0.14, based on Blyth-Still-Casella, is (1-0.96)/2 = 0.02.) Cytel Inc. | 675 Massachusetts Avenue | Cambridge, MA 02139-3309 T: +1.617.661.2011 | F: +1.617.661.4405 | www.cytel.com