Statistics Meeting Book (June 20, 2018)

Validation of coverage accuracy

N = 12 N = 40 t-based z-Based t-based z-Based t-based z-Based N = 20

copyright 2016 by Least Cost Formulations, Ltd., all rights reserved. p(A) % COVERAGE % COVERAGE % COVERAGE 0.98 0.0099 0.0001 0.01 100.00% 100.00% 100.00% 100.00% 100.00% 100.00% 0.98 0.00925 0.00075 0.01 100.00% 100.00% 100.00% 100.00% 100.00% 100.00% 0.98 0.005 0.005 0.01 100.00% 100.00% 100.00% 100.00% 100.00% 100.00% 0.915 0.07425 0.00075 0.01 99.99% 99.98% 99.95% 99.95% 95.05% 95.27% 0.915 0.069375 0.005625 0.01 99.99% 99.93% 99.98% 99.81% 98.66% 98.71% 0.915 0.0375 0.0375 0.01 100.00% 99.92% 99.92% 99.92% 99.80% 99.13% 0.49 0.495 0.005 0.01 99.21% 96.12% 98.53% 95.88% 97.22% 96.07% 0.49 0.4625 0.0375 0.01 98.55% 96.57% 96.72% 95.86% 96.75% 95.47% 0.49 0.25 0.25 0.01 96.99% 93.03% 95.87% 95.28% 95.75% 94.69% Conclusions • New continuity-corrected C.I. has reasonable coverage, but is conservative for small n. • New C.I. eliminates degeneracy issue and is ‘Excelable’. • Applies to qualitative testing of both microbial and chemical analytes. p(B) p(C) p(D) 15

16

copyright 2016 by Least Cost Formulations, Ltd., all rights reserved.