Maximum likelihood estimation of correction for dilution bias in simple linear regression using replicates from subjects with extreme first measurements

Statistics in Medicine

Volumn 27, Issue 22, 2008, Pages 4397-4407

  Berglund, Lars ^a,b   Garmo, Hans ^b   Lindbäck, Johan ^b   Svärdsudd, Kurt ^a   Zethelius, Björn ^a  

^a UPPSALA UNIVERSITY   (Sweden)

^b UPPSALA UNIVERSITY HOSPITAL   (Sweden)

Author keywords

Corrected regression coefficient; Extreme selection; Maximum likelihood estimation; Regression dilution bias; Reliability study

Indexed keywords

INSULIN;

ARTICLE; DATA ANALYSIS; GOLD STANDARD; INSULIN SENSITIVITY; LINEAR REGRESSION ANALYSIS; MAXIMUM LIKELIHOOD METHOD; MEASUREMENT ERROR; METHODOLOGY; NON INSULIN DEPENDENT DIABETES MELLITUS; RANDOM ERROR; RANDOM SAMPLE; RELIABILITY; REPLICATION STUDY; RISK FACTOR; STATISTICAL MODEL;

ANALYSIS OF VARIANCE; BLOOD GLUCOSE; CLINICAL TRIALS AS TOPIC; COMPUTER SIMULATION; HUMANS; INSULIN RESISTANCE; LEAST-SQUARES ANALYSIS; LIKELIHOOD FUNCTIONS; LINEAR MODELS; REGRESSION ANALYSIS; REPRODUCIBILITY OF RESULTS; SELECTION BIAS;

EID: 53349174429     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.3312     Document Type: Article

References (12)

1. Fuller WA. Measurement Error Models. Wiley: New York, 1987; 3, 103-113.
2. Berglund L, Garmo H, Lindbäck J, Zethelius B. Correction for regression dilution bias using replicates from subjects with extreme first measurements. Statistics in Medicine 2007; 26(10):2246-2257.
3. Hill WG. Design of experiments to estimate heritability by regression of offspring on selected parents. Biometrics 1970; 26(3):566-571.
4. Curnow RN. The estimation of repeatability and heritability from records subject to culling. Biometrics 1961; 17(4):553-566.
5. Kendall M, Stuart A. The Advanced Theory of Statistics (4th edn), vol. 2. Griffin: New York, 1979; 438-440.
6. Frost C, Thompson SG. Correcting for regression dilution bias: comparison of methods for a single predictor variable. Journal of the Royal Statistical Society, Series A 2000; 163(2):173-189.
7. Chan LK, Mak TK. Maximum likelihood estimation of a linear structural relationship with replication. Journal of the Royal Statistical Society, Series B 1979; 41(2):263-269.
8. Schafer DW, Purdy KG. Likelihood analysis for errors-in-variables regression with replicate measurements. Biometrika 1996; 83(4):813-824.
9. Carroll RJ, Ruppert D, Stefanski LA, Crainiceanu CM. Measurement Error in Nonlinear Models. A Modern Perspective (2nd edn). Chapman & Hall: London, 2006; 182.
10. Moré JJ, Sorensen DC. Computing a trust-region step. SIAM Journal on Scientific and Statistical Computing 1983; 4:553-572.
11. Venzon DJ, Moolgavkar SH. A method for computing profile-likelihood-based confidence intervals. Applied Statistics 1988; 37(1):87-94.
12. Zethelius B, Hales CN, Lithell HO, Berne C. Insulin resistance, impaired early insulin response, and insulin propeptides as predictors of the development of type 2 diabetes: a population-based, 7-year follow-up study in 70-year-old men. Diabetes Care 2004; 27(6):1433-1438.