document: A modified Fieller interval for the interval estimation of effective doses for a logistic dose-response curve Interval estimation of the gamma % effective dose -LRB- mu / sub gamma / say -RRB- is often based on the asymptotic variance of the maximum likelihood estimator -LRB- delta interval -RRB- or Fieller 's theorem -LRB- Fieller interval -RRB- . Sitter and Wu -LRB- 1993 -RRB- compared the delta and Fieller intervals for the median effective dose -LRB- mu / sub 50 / -RRB- assuming a logistic dose-response curve . Their results indicated that although Fieller intervals are generally superior to delta intervals , they appear to be conservative . Here an adjusted form of the Fieller interval for mu / sub gamma / termed an adjusted Fieller -LRB- AF -RRB- interval is introduced . A comparison of the AF interval with the delta and Fieller intervals is provided and the properties of these three interval estimation methods are investigated
doc_bio_tags: O B I I O O B I O B I O O O O O B I O O O O O O O O O O O O O O O O O O O B I O O B I I O B I O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O
extractive_keyphrases: modified fieller interval interval estimation effective doses asymptotic variance maximum likelihood estimator delta interval median effective dose
abstractive_keyphrases: logistic dose-response curve fieller's theorem