The SAS System 23:01 Wednesday, February 9, 2005 1 The FREQ Procedure Table of poured by lady poured lady Frequency| Expected | Percent | Row Pct | Col Pct |tea |milk | Total ---------+--------+--------+ tea | 3 | 1 | 4 | 2 | 2 | | 37.50 | 12.50 | 50.00 | 75.00 | 25.00 | | 75.00 | 25.00 | ---------+--------+--------+ milk | 1 | 3 | 4 | 2 | 2 | | 12.50 | 37.50 | 50.00 | 25.00 | 75.00 | | 25.00 | 75.00 | ---------+--------+--------+ Total 4 4 8 50.00 50.00 100.00 Statistics for Table of poured by lady Statistic DF Value Prob ------------------------------------------------------ Chi-Square 1 2.0000 0.1573 Likelihood Ratio Chi-Square 1 2.0930 0.1480 Continuity Adj. Chi-Square 1 0.5000 0.4795 Mantel-Haenszel Chi-Square 1 1.7500 0.1859 Phi Coefficient 0.5000 Contingency Coefficient 0.4472 Cramer's V 0.5000 WARNING: 100% of the cells have expected counts less than 5. (Asymptotic) Chi-Square may not be a valid test. Pearson Chi-Square Test ---------------------------------- Chi-Square 2.0000 DF 1 Asymptotic Pr > ChiSq 0.1573 Exact Pr >= ChiSq 0.4857 The SAS System 23:01 Wednesday, February 9, 2005 2 The FREQ Procedure Statistics for Table of poured by lady Likelihood Ratio Chi-Square Test ---------------------------------- Chi-Square 2.0930 DF 1 Asymptotic Pr > ChiSq 0.1480 Exact Pr >= ChiSq 0.4857 Mantel-Haenszel Chi-Square Test ---------------------------------- Chi-Square 1.7500 DF 1 Asymptotic Pr > ChiSq 0.1859 Exact Pr >= ChiSq 0.4857 Fisher's Exact Test ---------------------------------- Cell (1,1) Frequency (F) 3 Left-sided Pr <= F 0.9857 Right-sided Pr >= F 0.2429 Table Probability (P) 0.2286 Two-sided Pr <= P 0.4857 Column 1 Risk Estimates (Asymptotic) 95% (Exact) 95% Risk ASE Confidence Limits Confidence Limits ----------------------------------------------------------------------------- Row 1 0.7500 0.2165 0.3257 1.0000 0.1941 0.9937 Row 2 0.2500 0.2165 0.0000 0.6743 0.0063 0.8059 Total 0.5000 0.1768 0.1535 0.8465 0.1570 0.8430 Difference 0.5000 0.3062 -0.1001 1.0000 Difference is (Row 1 - Row 2) Column 2 Risk Estimates (Asymptotic) 95% (Exact) 95% Risk ASE Confidence Limits Confidence Limits ----------------------------------------------------------------------------- Row 1 0.2500 0.2165 0.0000 0.6743 0.0063 0.8059 Row 2 0.7500 0.2165 0.3257 1.0000 0.1941 0.9937 Total 0.5000 0.1768 0.1535 0.8465 0.1570 0.8430 Difference -0.5000 0.3062 -1.0000 0.1001 Difference is (Row 1 - Row 2) The SAS System 23:01 Wednesday, February 9, 2005 3 The FREQ Procedure Statistics for Table of poured by lady Estimates of the Relative Risk (Row1/Row2) Type of Study Value 95% Confidence Limits ----------------------------------------------------------------- Case-Control (Odds Ratio) 9.0000 0.3666 220.9270 Cohort (Col1 Risk) 3.0000 0.5013 17.9539 Cohort (Col2 Risk) 0.3333 0.0557 1.9949 Odds Ratio (Case-Control Study) ----------------------------------- Odds Ratio 9.0000 Asymptotic Conf Limits 95% Lower Conf Limit 0.3666 95% Upper Conf Limit 220.9270 Exact Conf Limits 95% Lower Conf Limit 0.2117 95% Upper Conf Limit 626.2435 Sample Size = 8