Abstract

Abstract We have studied the usefulness of common statistical tests as applied to method comparison studies. We simulated different types of errors in test sets of data to determine the sensitivity of different statistical parameters. Least-squares parameters (slope of least-squares line, its y intercept, and the standard error of estimate in the y direction) provide specific estimates of proportional, constant, and random errors, but comparison data must be presented graphically to detect limitations caused by nonlinearity and errant points. t-test parameters ( bias, standard deviation of difference) provide estimates of constant and random errors, but only when proportional error is absent. Least-squares analysis can estimate proportional error and should be considered a prerequisite to t-test analysis. The correlation coefficient (r) is sensitive only to random error, but is not easily interpreted. Values for r, t, and F are not useful in making decisions on the acceptability of performance. These decisions should be judgments on the errors that are tolerable. Statistical tests can be applied in a manner that provides specific estimates of these errors

Keywords

StatisticsStandard deviationMathematicsStandard errorRandom errorLeast-squares function approximationConstant (computer programming)Statistical hypothesis testingNon-linear least squaresSensitivity (control systems)Non-sampling errorExplained sum of squaresComputer science

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1979 The Annals of Statistics 16966 citations

Publication Info

Year
1973
Type
article
Volume
19
Issue
1
Pages
49-57
Citations
261
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Closed

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James O. Westgard, Marian R. Hunt (1973). Use and Interpretation of Common Statistical Tests in Method-Comparison Studies. Clinical Chemistry , 19 (1) , 49-57. https://doi.org/10.1093/clinchem/19.1.49

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DOI
10.1093/clinchem/19.1.49