Estimating the Number of Aberrant Laboratories

It has long been observed that independent laboratories differ in reporting the results of repeated experiments. The problem is to detect those laboratories that might be considered aberrant. Previous analyses have been based on an analysis of variance framework or on subset selection for the detection of aberrant laboratories. The present procedure is also based on an ANOVA model but uses a Bayesian estimate of the number of aberrant laboratories. Subsequent to the determination of the aberrant laboratories, a linear model is used to separate sampling and laboratory effects.

[1]  N. L. Franklin,et al.  Statistical Analysis in Chemistry and the Chemical Industry , 1955 .

[2]  J. Mandel Models, Transformations of Scale, and Weighting , 1976 .

[3]  W. J Youden,et al.  Statistical Manual of the Association of Official Analytical Chemists , 1984 .

[4]  Ajaya K. Gupta Advances in Multivariate Statistical Analysis , 1987 .

[5]  Frank E. Grubbs,et al.  On Estimating Precision of Measuring Instruments and Product Variability , 1948 .

[6]  Maximum likelihood estimation evaluation of a material with unequal number of replicates , 1979 .

[7]  Robert S. Elder An Evaluation of the Laboratory Ranking Test , 1987 .

[8]  J. Mandel The Measuring Process , 1959 .

[9]  David M. Rocke Robust statistical analysis of interlaboratory studies , 1983 .

[10]  John Mandel,et al.  Interlaboratory evaluation of a material with unequal numbers of replicates , 1970 .

[11]  K. H. Kramer Use of Mean Deviation in the Analysis of Interlaboratory Tests , 1967 .

[12]  W. J. Youden,et al.  Graphical Diagnosis of Interlaboratory Test Results , 1972 .

[13]  C. Daniel Locating Outliers in Factorial Experiments , 1960 .

[14]  I. Kolthoff Treatise on analytical chemistry , 1959 .

[15]  G. C. Tiao,et al.  A bayesian approach to some outlier problems. , 1968, Biometrika.

[16]  N. Draper,et al.  Applied Regression Analysis , 1966 .

[17]  J. L. Jaech,et al.  Estimating Within-Laboratory Variability From Interlaboratory Test Data , 1979 .

[18]  J. L. Jaech A Program to Estimate Measurement Error in Nondestructive Evaluation of Reactor Fuel Element Quality , 1964 .

[19]  A Model for Interlaboratory Differences , 1987 .