论文信息 - Some Grubbs-Type Statistics for the Detection of Several Outliers

Some Grubbs-Type Statistics for the Detection of Several Outliers

Several widely used tests for outlying observations are reviewed. Problems of repeated application and “masking” are described. Suggested as appropriate to over-come these problems are two new statistics: Lk which is based on the k largest (observed) values and Ek which is based on the k largest (in absolute value) residuals. Tables of approximate critical values for these statistics are given for 0.01, .025,0.05, and 0.10 levels of significance and for sample size n = 3 (1) 20 (5) 50.

R. H. Moore | G. L. Tietjen | Roger H. Moore | G. Tietjen

[1] F. E. Grubbs. Procedures for Detecting Outlying Observations in Samples , 1969 .

[2] H. A. David,et al. THE DISTRIBUTION OF THE RATIO, IN A SINGLE NORMAL SAMPLE, OF RANGE TO STANDARD DEVIATION , 1954 .

[3] F. E. Grubbs. Sample Criteria for Testing Outlying Observations , 1950 .

[4] W. R. Buckland,et al. A dictionary of statistical terms , 1958 .

[5] W. J. Dixon,et al. Analysis of Extreme Values , 1950 .

[6] J. Walsh,et al. A general use of the Poisson approximation for binomial events, with application to bacterial endocarditis data. , 1966, Biometrics.

[7] S. Shapiro,et al. An Analysis of Variance Test for Normality (Complete Samples) , 1965 .

[8] Thomas S. Ferguson,et al. On the Rejection of Outliers , 1961 .

[9] S. Shapiro,et al. A Comparative Study of Various Tests for Normality , 1968 .

[10] W. J. Dixon,et al. Processing Data for Outliers , 1953 .

[11] M. E. Muller,et al. A Note on the Generation of Random Normal Deviates , 1958 .