论文信息 - LIKELIHOOD-BASED METHODS FOR BIAS REDUCTION IN LIMITING DILUTION ASSAYS

LIKELIHOOD-BASED METHODS FOR BIAS REDUCTION IN LIMITING DILUTION ASSAYS

Two likelihood-based methods for reducing the bias of the estimator of the parameter in a limiting dilution assay are compared with those using the jackknife. The maximum likelihood estimator, even after amendment so that its expectation exists, has positive bias which is removed by both likelihood-based methods and some versions of the jackknife. However, the variance of the resulting estimators is estimated reliably only for the likelihood-based methods; the estimate of the variance of the jackknife estimators can be in error by as much as 85%.

Yadollah Mehrabi | John N. S. Matthews

[1] L. Strijbosch,et al. Comparison of bias-reducing methods for estimating the parameter in dilution series , 1988 .

[2] J. Gart. 13 An application of score methodology: Confidence intervals and tests of fit for one-hit curves , 1991 .

[3] D. Firth. Bias reduction of maximum likelihood estimates , 1993 .

[4] G. Koch,et al. On the estimation of the most probable number in a serial dilution experiment , 1978 .

[5] H. Waldmann,et al. Limiting Dilution Analysis of Cells in the Immune System , 1980 .

[6] L. Strijbosch,et al. Using jackknife methods for estimating the parameter in dilution series. , 1988, Biometrics.

[7] L. Strijbosch,et al. Multiple‐dose design and bias‐reducing methods for limiting dilution assays , 1990 .

[8] M. S. Ridout,et al. Three-stage designs for seed testing experiments , 1995 .

[9] W A Buurman,et al. Limiting dilution assays. Experimental design and statistical analysis. , 1987, Journal of immunological methods.

[10] W. Garthright. Bias in the Logarithm of Microbial Density Estimates from Serial Dilutions , 1993 .

[11] P. Rust,et al. Confidence Intervals for the Relative Frequency of Responding Cells in Limiting Dilution Assays , 1993 .