A Generalized Modified - X 2 Analysis of Categorical Data from a Complex Dilution Experiment
نویسندگان
چکیده
A method in the current literature used to estimate the density of bacteria in a sample solution is the most probable number (MPN) procedure. This paper considers the change in density of bacteria in the sample through time. The MPN with its variance for a fixed time point is just one module of the experiment and is treated as a generalization of the unrestricted maximum likelihood estimates used for cell probabilities in linear categorical data analysis. The MPN variance estimates are used to fit an exponential decay model over time by weighted least squares. When the models fit, comparisons of decay rates between population can
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