Selecting the instrument closest to a gold standard

We consider the comparison of two instruments with a gold standard with the goal of finding the best one—the one that agrees most with the gold standard. Using natural log of the mean squared deviation as the measure of agreement, we present a large sample two-stage procedure with good small sample...

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Bibliographic Details
Published in:Journal of statistical planning and inference 2005-02, Vol.129 (1), p.229-237
Main Authors: Choudhary, Pankaj K., Nagaraja, H.N.
Format: Article
Language:English
Subjects:
Agreement
Bivariate normal distribution
Concordance
Exact sciences and technology
Mathematics
Multiple comparisons with the best
Multivariate analysis
Probability and statistics
Sampling theory, sample surveys
Sciences and techniques of general use
Selection of the best
Statistics
Two-stage procedures
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Summary:We consider the comparison of two instruments with a gold standard with the goal of finding the best one—the one that agrees most with the gold standard. Using natural log of the mean squared deviation as the measure of agreement, we present a large sample two-stage procedure with good small sample properties. When the differences of the paired measurements are bivariate normal, a first-stage sample of size 15 is adequate for its application. We illustrate the procedure using a dataset from the literature.
ISSN:0378-3758
1873-1171
DOI:10.1016/j.jspi.2004.06.049