Development of Statistical Techniques to Better Utilize Data Characterized by Being Below Instrument Detection Thresholds and by Small Sample Size.
Final rept. 1 Jul 82-31 Aug 83,
VERSAR INC SPRINGFIELD VA
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Estimation of parametric families for small data sets where a significant portion of the data lay below fixed instrument detection thresholds was investigated. Thus the number of data points was random an example of Type I censoring. Both analytic and simulation procedures were utilized. In particular, maximum likelihood techniques, order statistic techniques, truncation techniques, fill-in with constants, and fill-in with expected values of the missing points were investigated. For exponential data, truncation seemed most appropriate while for normal and log-normal data, fill-in with expected values modified to correct for conditioning on the number of data points was best. The criteria for selection was the total square error. Author
- Statistics and Probability