TESTING THE AGREEMENT OF TWO QUANTITATIVE ASSAYS IN INDIVIDUAL MEANS

ABSTRACT Existing approaches for the statistical evaluation of the agreement of two quantitative assays in terms of individual means are either based on a linear model and some stringent assumptions or comparisons of averages of individual means. Furthermore, the related statistical tests for some of these approaches are not valid in the sense that the sizes of these tests are not exactly the same as the nominal size even asymptotically. In this paper we propose a new method, which produces exact statistical tests that are easy to compute. When independent replicates are available, the proposed method requires very little or no assumption on the individual error variances. Simulation results show that the proposed tests perform better than some existing tests. Some examples are presented for illustration.

[1]  V M Chinchilli,et al.  A generalized concordance correlation coefficient for continuous and categorical data , 2001, Statistics in medicine.

[2]  R. St. Laurent,et al.  Evaluating agreement with a gold standard in method comparison studies. , 1998, Biometrics.

[3]  S Kumanyika,et al.  A weighted concordance correlation coefficient for repeated measurement designs. , 1996, Biometrics.

[4]  Lawrence G. Rubin,et al.  AIP handbook of modern sensors , 1993 .

[5]  K. Linnet,et al.  Estimation of the linear relationship between the measurements of two methods with proportional errors. , 1990, Statistics in medicine.

[6]  L. Lin,et al.  A concordance correlation coefficient to evaluate reproducibility. , 1989, Biometrics.

[7]  W Bablok,et al.  Comparison of Several Regression Procedures for Method Comparison Studies and Determination of Sample Sizes Application of linear regression procedures for method comparison studies in Clinical Chemistry, Part II , 1984, Journal of clinical chemistry and clinical biochemistry. Zeitschrift fur klinische Chemie und klinische Biochemie.

[8]  W. Bablok,et al.  A New Biometrical Procedure for Testing the Equality of Measurements from Two Different Analytical Methods. Application of linear regression procedures for method comparison studies in Clinical Chemistry, Part I , 1983, Journal of clinical chemistry and clinical biochemistry. Zeitschrift fur klinische Chemie und klinische Biochemie.

[9]  L. Guttman,et al.  Statistical Adjustment of Data , 1944 .