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Comparison of microbial mutation rates under the Luria–Delbrück protocol is a routine laboratory task. However, execution of this important task has been hampered by the lack of proper statistical methods. Visual inspection or improper use of the t test and the Mann–Whitney test can impair the quality of genetic research. This paper proposes a unified framework for constructing likelihood ratio tests...
The fluctuation experiment is an essential tool for measuring microbial mutation rates in the laboratory. When inferring the mutation rate from an experiment, one assumes that the number of mutants in each test tube follows a common distribution. This assumption conceptually restricts the scope of applicability of fluctuation assay. We relax this assumption by proposing a Bayesian two-level model,...
This paper aims at removing certain long-standing impediments to more effective and widespread use of fluctuation analysis. The paper presents a method of constructing confidence intervals for mutation rates using data from fluctuation experiments. The method was inspired by a rediscovery of a little-known, not fully developed method of Lea and Coulson; substantial modifications have been made both...
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