Some Grubbs-Type Statistics for the Detection of Several Outliers
TechnometricsPublished 1 August 1972
Gary L. Tietjen, R. W. Moore
Citations265
SJR quartileQ1
SJR score1.41
SNIP1.93
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
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.
Keywords
Mathematics
BiometrikaAn analysis of variance test for normality (complete samples)
19,344 Citations1965Samuel S. Shapiro, M. B. Wilk
TechnometricsProcedures for Detecting Outlying Observations in Samples
3,730 Citations1969Frank E. Grubbs
The Annals of Mathematical StatisticsSample Criteria for Testing Outlying Observations
1,636 Citations1950Frank E. Grubbs
Journal of the American Statistical AssociationA Comparative Study of Various Tests for Normality
1,086 Citations1968Samuel S. Shapiro, M. B. Wilk +1 more
TechnometricsProcedures for Detecting Outlying Observations in Samples
898 Citations1969Frank E. Grubbs
BiometricsProcessing Data for Outliers
868 Citations1953W. J. Dixon
Every experimenter has at some time or other faced the problem of whether certain of his observations properly belong in his presentation of measurements obtained, and this problem will be discussed in terms of the following general models.
BiometrikaTHE DISTRIBUTION OF THE RATIO, IN A SINGLE NORMAL SAMPLE, OF RANGE TO STANDARD DEVIATION
330 Citations1954H. A. DAVID, H. O. Hartley +1 more
Journal of the Royal Statistical Society Series C (Applied Statistics)A Dictionary of Statistical Terms.
256 Citations1957P. D. Oldham, M. G. Kendall +1 more
BiometricsA General Use of the Poisson Approximation for Binomial Events, with Application to Bacterial Endocarditis Data
9 Citations1966Herbert B. Eisenberg, Randolph R. M. Geoghagen +1 more
This methodology was originally developed for a mortality study of persons who had bacterial endocarditis and contains adjustment factors to allow for differences between the new group and the past data.
