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Point and Interval Estimation in the Combination of Bioassay Results with Unequal Variances
Author(s) -
Ahmed S. Ejaz
Publication year - 2000
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/1521-4036(200012)42:8<973::aid-bimj973>3.0.co;2-k
Subject(s) - interval estimation , mathematics , statistics , estimator , null hypothesis , confidence interval , test statistic , bioassay , point estimation , statistical hypothesis testing , asymptotic distribution , statistic , interval (graph theory) , efficiency , econometrics , combinatorics , biology , genetics
Symmetric parallel‐line biological assays involve the estimation of (log) relative potencies. The class of p (≥ 2) combination of symmetric parallel line bioassays are considered in this study. A large sample test for the equality of the several potencies is developed. An estimator and a confidence interval are proposed for the common relative potency parameter. The asymptotic distribution of the proposed test‐statistic under the null hypothesis as well as under a contagious hypothesis is derived.