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NON‐PARAMETRIC METHODS FOR COMPARING MULTIPLE TREATMENT GROUPS TO A CONTROL GROUP, BASED ON INCOMPLETE NON‐DECREASING REPEATED MEASUREMENTS
Author(s) -
DAVIS CHARLES S.
Publication year - 1996
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/(sici)1097-0258(19961215)15:23<2509::aid-sim383>3.0.co;2-v
Subject(s) - parametric statistics , estimator , confidence interval , mathematics , statistics , time point , group (periodic table) , treatment and control groups , subject (documents) , point (geometry) , computer science , philosophy , chemistry , organic chemistry , library science , aesthetics , geometry
In the comparison of two or more treatment groups to a control group, consider a study with non‐decreasing repeated measurements of the same characteristic taken over a common set of time points for each subject. Based on the vector of possibly incomplete responses from each subject, this paper considers asymptotically distribution‐free tests of the equality of the groups. I propose consistent point estimators of the overall treatment differences and I derive non‐parametric simultaneous confidence regions for the treatment effects. An example using data from a bladder cancer study illustrates the proposed methods.