title: Upper and lower bounds for a serial dilution test.
abstract: A Poisson-binomial model estimates the concentration of a target microbe from a serial dilution test. The maximum likelihood procedure gives an equation whose solution equals the estimate of the concentration. This paper gives bounds for the solution to this equation that require only minimal calculations.
authors.affiliation: U.S. Food and Drug Administration, HFS-705, Rm 2D-011, 5100 Paint Branch Pkwy, College Park, MD 20740, USA. Robert.Blodgett@cfsan.fda.gov
authors.forename: Robert J
authors.initials: RJ
authors.lastname: Blodgett
mesh_terms: D002623:Chemistry Techniques, Analytical / Q000379:methods*; D007201:Indicator Dilution Techniques; D016013:Likelihood Functions; D008828:Microbiological Techniques / Q000379:methods*; D015233:Models, Statistical; D016012:Poisson Distribution; D015203:Reproducibility of Results; D013223:Statistics as Topic