An Application of Linear Mixed Effects Model to Assess the Agreement Between Two Methods With Replicated Observations

REFERENCES

• Argall , J. A. W. , Wright , N. , Mackway-Jones , K. , Jackson , R. ( 2003 ). A comparison of two commonly used methods of weight estimation . Archives of Disease in Childhood 88 : 789 – 790
   PubMed Web of Science ®Google Scholar
• Barnhart , H. X. , Song , J. , Haber , M. J. ( 2005 ). Assessing intra, inter and total agreement with replicated readings . Stat. Med. 24 : 1371 – 1384 .
   PubMed Web of Science ®Google Scholar
• Barnhart , H. X. , Haber , M. J. , Lin , L. I. ( 2007 ). An overview on assessing agreement with continuous measurements . Journal of Biopharmaceutical Statistics 17 : 529 – 569 .
   PubMed Web of Science ®Google Scholar
• Bartko , J. J. ( 1994 ). Measures of agreement: a single procedure . Stat. Med. 13 : 737 – 745 .
   PubMed Web of Science ®Google Scholar
• Bland , J. M. , Altman , D. G. ( 1983 ). Measurement in medicine: the analysis of method comparison studies . Statistician 32 : 307 – 17 .
   Google Scholar
• Bland , J. M. , Altman , D. G. ( 1986 ). Statistical methods for assessing agreement between two methods of clinical measurement . The Lancet 8 : 307 – 310 .
   Web of Science ®Google Scholar
• Bland , J. M. , Altman , D. G. (1990). A note on the use of the intraclass correlation coefficient in the evaluation of agreement between two methods of measurement. Comput. Biol. Med. 20(5):337–340.
   PubMed Web of Science ®Google Scholar
• Bland , J. M. , Altman , D. G. ( 1999 ). Measuring agreement in method comparison studies . Statistical Methods in Medical Research 8 : 135 – 160 .
   PubMed Web of Science ®Google Scholar
• Bland , J. M. , Altman , D. G. ( 2007 ). Agreement between methods of measurement with multiple observations per individual . Journal of Biopharmaceutical Statistics 17 : 571 – 582 .
   PubMed Web of Science ®Google Scholar
• Boik , J. B. ( 1991 ). Scheffe's mixed model for multivariate repeated measures: a relative efficiency evaluation . Commun. Statist – Theory Meth. 20 : 1233 – 1255 .
   Web of Science ®Google Scholar
• Bowling , L. S. , Sageman , W. S. , O'Connor , S. M. , Cole , R. , Amundson , D. E. ( 1993 ). Lack of agreement between measurement of ejection fraction by impedance cardiography versus radionuclide ventriculography . Crit. Care Med. 21 : 1523 – 1527 .
   PubMed Web of Science ®Google Scholar
• Chaganty , N. R. , Naik , D. N. ( 2002 ). Analysis of multivariate longitudinal data using quasi-least squares . Journal of Statistical Planning and Inference 103 : 421 – 436 .
   Web of Science ®Google Scholar
• Chen , M. L. ( 1997 ). Individual bioequivalence—a regulatory update . Journal of Biopharmaceutical Statistics 7 : 5 – 11 .
   PubMedGoogle Scholar
• Choudhary , P. K. ( 2007 ). Semiparametric regression for assessing agreement using tolerance bands . Computational Statistics and Data Analysis 51 : 6229 – 6241 .
   Web of Science ®Google Scholar
• Choudhary , P. K. ( 2008 ). A tolerance interval approach for assessment of agreement in method comparison studies with repeated measurements . Journal of Statistical Planning and Inference 138 : 1102 – 1115 .
   Web of Science ®Google Scholar
• Choudhary , P. K. , Nagaraja , H. N. ( 2005 ). Assessment of agreement using intersection-union principle . Biometrical Journal 47 ( 5 ): 674 – 681 .
   PubMedGoogle Scholar
• Choudhary , P. K. , Ng , H. K. T. ( 2006 ). Assessment of agreement under non-standard conditions using regression models for mean and variance . Biometrics 62 : 288 – 296 .
   PubMed Web of Science ®Google Scholar
• Choudhary , P. K. , Nagaraja , H. N. ( 2007 ). Tests for assessment of agreement using probability criteria . Journal of Statistical Planning and Inference 137 : 279 – 290 .
   Web of Science ®Google Scholar
• Galecki , A. T. ( 1994 ). General class of covariance structures for two or more repeated factors in longitudinal data analysis . Commun. Statist – Theory Meth. 22 : 3105 – 3120 .
   Web of Science ®Google Scholar
• Haber , M. , Barnhart , H. X. , Song , J. , Gruden J. ( 2005 ). Observer variability: a new approach in evaluating interobserver agreement . Journal of Data Science 3 : 69 – 83 .
   Google Scholar
• Hamlett , A. , Ryan , L. , Serrano-Trespalacios , P. , Wolfinger , R. ( 2003 ). Mixed models for assessing correlation in the presence of replication . Journal of the Air & Waste Management Association 53 : 442 – 450 .
   Web of Science ®Google Scholar
• Hamlett , A. , Ryan , L. , Wolfinge , R. ( 2004 ). On the use of PROC MIXED to estimate correlation in the presence of repeated measures . SAS Users Group International, Proceedings of the Statistics and Data Analysis Section 198–229 : 1 – 7 .
   Google Scholar
• Kenward , M. G. , Roger , J. H. ( 1997 ). Small sample inference for fixed effects from restricted maximum likelihood . Biometrics 53 : 983 – 997 .
   PubMed Web of Science ®Google Scholar
• Lam , M. , Webb , K. A. , O'Donnell , D. E. ( 1999 ). Correlation between two variables in repeated measures . American Statistical Association, Proceedings of the Biometric Section 213 – 218 .
   Google Scholar
• Laird , N. M. , Ware , J. H. ( 1982 ). Random effects models for longitudinal data . Biometrics 38 : 963 – 974 .
   PubMed Web of Science ®Google Scholar
• Lee , J. , Koh , D. , Ong , C. N. ( 1989 ). Statistical evaluation of agreement between two methods for measuring a quantitative variable . Comput. Biol. Med. 19 ( 1 ): 61 – 70 .
   PubMed Web of Science ®Google Scholar
• Lin , L. K. ( 1989 ). A concordance correlation coefficient to evaluate reproducibility . Biometrics 45 : 255 – 268 .
   PubMed Web of Science ®Google Scholar
• Lin , L. I. , Hedayat , A. S. , Sinha , B. , Yang , M. ( 2002 ). Statistical methods in assessing agreement: models, issues and tools . J. Amer. Statist. Assoc. 97 : 257 – 270 .
   Web of Science ®Google Scholar
• Naik , D. N. , Rao , S. S. (2001). Analysis of multivariate repeated measures data with a kronecker product structured covariance matrix. Journal of Applied Statistics 28(1):91–105.
   Web of Science ®Google Scholar
• Quiroz , J. ( 2005 ). Assessment of equivalence using a concordance correlation coefficient in a repeated measurements design . Journal of Biopharmaceutical Statistics 15 : 913 – 928 .
   PubMed Web of Science ®Google Scholar
• Roy , A. ( 2006 ). Estimating correlation coefficient between two variables with repeated observations using mixed effects model . Biometrical Journal 48 : 286 – 301 .
   PubMed Web of Science ®Google Scholar
• Roy , A. , Khattree , R. ( 2007 ). Classification rules for repeated measures data from biomedical research . In: Khattree , R. , Naik , D. N. , eds. Computational Methods in Biomedical Research . Boca Raton , FL : Chapman & Hall , pp. 323 – 370 .
   Google Scholar
• SAS Institute, Inc. ( 2004 ). SAS/STAT User's Guide Version 9 . Cary , NC : SAS Institute, Inc .
   Google Scholar
• Shults , J. , Morrow , A. L. ( 2002 ). The use of quasi-least squares to adjust for two levels of correlation . Biometrics 58 : 521 – 530 .
   PubMedGoogle Scholar
• Shults , J. , Whitt , M. C. , Kumanyika , S. ( 2004 ). Analysis of data with multiple sources of correlation in the framework of generalized estimating equations . Statistics in Medicine 23 : 3209 – 3226 .
   PubMed Web of Science ®Google Scholar
• St. Laurent , R. T. ( 1998 ). Evaluating agreement with a gold standard in method comparison studies . Biometrics 54 : 537 – 545 .
   PubMed Web of Science ®Google Scholar
• Timm , N. H. ( 2002 ). Applied Multivariate Analysis . New York : Springer-Verlag .
   Google Scholar
• Timm , N. H. , Mieczkowski , T. A. ( 1997 ). Univariate & Multivariate General Linear Models: Theory and Applications Using SAS Software . Cary , NC : SAS Institute, Inc .
   Google Scholar
• Westfall , P. H. , Tobias , R. D. , Rom , D. , Wolfinger , R. D. , Hochberg , Y. ( 1999 ). Multiple Comparisons and Multiple Tests Using SAS . Cary , NC : SAS Institute, Inc .
   Google Scholar