Estimation of Population Proportion and of Probabilities of Misclassification from Imperfect Binomial Data by Comparison with Results of a Standard Method of Known Imperfection.
Technical rept. Sep 84-Sep 85,
MARYLAND UNIV COLLEGE PARK DEPT OF MANAGEMENT SCIENCES AND STATISTICS
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Observations from inspection by a test method and a standard method are combined to provide estimators of population proportion, and of probabilities of misclassification for the test method. Results of Hochberg and Tenenbein 1983 and of Albers and Veldman 1984 are extended to the case where the standard method is not perfect, but its misclassification probabilities have known values. Both moment and maximum likelihood estimators are considered and some asymptotic properties of the resulting estimators are compared. Additional keywords Method of moments Binomial distribution Statistical differentials ApproximationMathematics Bias Correlation Covariance. Author
- Statistics and Probability