================================================================= COMPARE2 Version 1.90 Tuesday, 13th January 2009, 15:16. ----------------------------------------------------------------- Measures with number-of-individuals denominators [module B] ================================================================= DATA: A: Yes, 751 No, 7755 Denominator, 8506 B: Yes, 623 No, 7479 Denominator, 8102 RESULTS: Proportions (of "Yes"): A, 0.0883 B, 0.0769 If inverse sampling was used, see results at end of output. [Campbell (2007) recommends use of Upton's chi-square (the "N-1" chi-square) for this table, where no cell has an expected value less than 1.] Exact probabilities not computed. Upton's "N - 1" chi-sq. = 7.101 P = 0.008 [ 7.7E-3 ] Pearson's chi-square = 7.101 P = 0.008 [ 7.7E-3 ] with Yates's correction = 6.952 P = 0.008 [ 8.4E-3 ] Haber's adjusted chi-sq. = 7.015 P = 0.008 [ 8.1E-3 ] Log-likelihood chi-square = 7.114 P = 0.008 [ 7.6E-3 ] with Yates's correction = 6.964 P = 0.008 [ 8.3E-3 ] DIFFERENCE [A minus B] = 0.011 S.E. = 0.004 Large-sample method (Fleiss), continuity-corrected: 90% C.I. = 0.004 to 0.019 95% C.I. = 0.003 to 0.020 99% C.I. = 0.000 to 0.023 Wilson's score method: Not continuity-corrected (Newcombe's method 10): 90% C.I. = 0.004 to 0.018 95% C.I. = 0.003 to 0.020 99% C.I. = 0.000 to 0.022 Continuity-corrected (Newcombe's method 11): 90% C.I. = 0.004 to 0.019 95% C.I. = 0.003 to 0.020 99% C.I. = 0.000 to 0.022 RATIO [A:B] = 1.148 S.E. of log ratio = 0.052 Traditional (log-transformation) method: 90% C. I. = 1.05 to 1.25 95% C. I. = 1.04 to 1.27 99% C. I. = 1.00 to 1.31 Zou-Donner method: 90% C.I. = 1.05 to 1.25 95% C.I. = 1.04 to 1.27 99% C.I. = 1.00 to 1.31 Low-bias estimator of ratio in population = 1.147 ODDS RATIO = 1.16 [reciprocal = 0.86] Fisher's exact confidence intervals: 90%: 1.06 to 1.28 95%: 1.04 to 1.30 99%: 1.00 to 1.35 Mid-P exact confidence intervals: 90%: 1.06 to 1.28 95%: 1.04 to 1.30 99%: 1.01 to 1.35 Cornfield's confidence intervals: 90%: 1.06 to 1.28 95%: 1.04 to 1.30 99%: 1.00 to 1.35 S.E. of log O.R. = 0.057 Low-bias indicator of O.R. in the population = 1.16 Adjusted O.R. (0.5 added in each cell) = 1.16 Yule's Q = 0.08 Phi = 0.02 Lambda (for prediction of Yes-No distribution) = 0.00 NUMBER NEEDED: Subjects needed in B to avoid 1 event*: 87.7 95% C.I.: 50.4 to 341 Assuming a risk of R per 1 in group B, number needed in group B to avoid 1 event* (if the risk ratio seen in this study sample is appropriate) = 7/R [Formula not valid if R exceeds 0.9 per 1] *If this is a therapeutic trial where A = "treated" and B = "controls", this is the NNTH (number needed to treat to produce one episode of harm). MEASURES OF IMPACT (if Group A is exposed, and Group B not exposed, to a risk factor] Attributable fraction in exposed = 12.9% 90% C.I. = 5.1 to 20.0 95% C.I. = 3.6 to 21.3 99% C.I. = 0.4 to 23.8 Attributable fraction in population = 7.1% 90% C.I. = 2.7% to 11.4% 95% C.I. = 1.9% to 12.2% 99% C.I. = 0.2% to 13.8% INVERSE SAMPLING The following results are applicable if, in each group (A and B), subjects were added until a prespecified number of cases (subjects with "Yes") were found. Large-sample test: one-tailed P = 0.002 [ 2.1E-3 ] two-tailed P = 0.004 [ 4.2E-3 ] DIFFERENCE [A minus B] = 0.011 S.E. = 0.004 Unbiased estimate = 0.011 Confidence intervals: 90% conf. interval = 0.004 to 0.018 95% conf. interval = 0.003 to 0.020 99% conf. interval = 0.000 to 0.022 RATIO (A:B) = 1.148 Unbiased estimate = 1.147 Alternative confidence intervals: 90% conf. interval = 1.054 to 1.251 or 1.050 to 1.256* 95% conf. interval = 1.037 to 1.271 or 1.033 to 1.277* 99% conf. interval = 1.004 to 1.313 or 0.999 to 1.321* * May be preferable if the numbers or proportions of cases (subjects with "Yes") are small. ODDS RATIO = 1.16 [reciprocal = 0.86] 90% C.I. = 1.06 to 1.28 95% C.I. = 1.04 to 1.30 99% C.I. = 1.00 to 1.34 ======================================================*===========