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Investigations on Some Attributes of the Likelihood Function for MPN Determination
Author(s) -
Diener W.
Publication year - 1987
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/bimj.4710290114
Subject(s) - mathematics , statistics , serial dilution , selection (genetic algorithm) , function (biology) , measure (data warehouse) , likelihood function , maximum likelihood , computer science , data mining , biology , medicine , alternative medicine , pathology , artificial intelligence , evolutionary biology
The paper investigates the likelihood function to determine the MPN (Most Probable Number as a measure of concentration in the virology), dependent on several parameters. Taking only ‘probable’ result schemes into the MPN‐tables they would become much shorter. There are suggested two conditions for the selection of the result schemes, given and compared by some tables together with a mathematical foundation of the number of the selected schemes. Some tables and a theorem about success probabilities of the result schemes point out their changes under different conditions (number of tubes, number of dilutions, dilution ratio), and make it possible to estimate success probabilities of result schemes not selected by the more restricted condition.