Computation of profile likelihood-based confidence intervals for reference limits with covariates

Statistics in Medicine

Volumn 27, Issue 7, 2008, Pages 1121-1132

  Virtanen, A ^a,b   Uusipaikka, Esa ^b  

^a TURKU UNIVERSITY HOSPITAL   (Finland)

^b UNIVERSITY OF TURKU   (Finland)

Author keywords

Confidence interval; Generalized linear model; Immunoglobulin; Profile likelihood; Reference limit

Indexed keywords

ALPHA FETOPROTEIN; IMMUNOGLOBULIN G;

ACCURACY; ADOLESCENT; AGE; ARTICLE; CALCULATION; CHEMICAL ANALYSIS; CHILD; CONFIDENCE INTERVAL; CONTROLLED STUDY; DATA ANALYSIS; FEMALE; HUMAN; INFANT; LINEAR REGRESSION ANALYSIS; MALE; REFERENCE VALUE; SIMULATION; STATISTICAL MODEL;

ADOLESCENT; AGE FACTORS; ALPHA-FETOPROTEINS; CHILD; CHILD, PRESCHOOL; CONFIDENCE INTERVALS; FEMALE; GESTATIONAL AGE; HUMANS; IMMUNOGLOBULINS; INFANT; LIKELIHOOD FUNCTIONS; LINEAR MODELS; PREGNANCY; REFERENCE VALUES;

EID: 40849120714     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.3000     Document Type: Article

References (26)

1. Solberg HE, Gräsbeck R. Reference values. Advances in Clinical Chemistry 1989; 27:2-79.
2. NCCLS. How to define reference intervals in the clinical laboratory; approved guideline. Document C28-A, NCCLS, Wayne, 1995.
3. Berkey CS, Dockery DW, Wang X, Wypij D, Ferris Jr B. Longitudinal height velocity standards for U.S. adolescents. Statistics in Medicine 1993; 12:403-414
4. Cole TJ. Fitting smoothed centile curves to reference data (with discussion). Journal of the Royal Statistical Society, Series A 1988; 151:385-418.
5. Cole TJ, Green PJ. Smoothing reference centile curves: the LMS method and penalised likelihood. Statistics in Medicine 1992; 11:1305-1319.
6. Royston P. Constructing time-specific reference ranges. Statistics in Medicine 1991; 10:675-690.
7. Altman DG. Construction of age-related reference centiles using absolute residuals. Statistics in Medicine 1993; 12:917-924.
8. Healy M, Rasbash J, Yang M. Distribution-free estimation of age-related centiles. Annals of Human Biology 1988; 15:17-22.
9. Rossiter JE. Calculating centile curves using kernel density estimation methods with application to infant kidney lengths. Statistics in Medicine 1991; 10:1693-1701.
10. Goldstein H, Pan H. Percentile smoothing using piecewise polynomials with covariates. Biometrics 1992; 48:1057-1068.
11. Borghi E, De Onis M, Garza C, Van den Broeck J, Frongillo EA, Grummer-Strawn L, Van Buuren S, Pan H, Molinari L, Martorell R, Onyango AW, Martines JC. Construction of the World Health Organization child growth standards: selection of methods for attained growth curves. Statistics in Medicine 2006; 25:247-265.
12. Wade AM, Ades AE. Age-related reference ranges: significance tests for models and confidence intervals for centiles. Statistics in Medicine 1994; 13:2359-2367.
13. Virtanen A, Kairisto V, Irjala K, Rajamäki A, Uusipaikka E. Regression-based reference limits and their reliability: example on hemoglobin during the first year of life. Clinical Chemistry 1998; 44:327-335.
14. Katki HA, Engels EA, Rosenberg PS. Assessing uncertainty in reference intervals via tolerance intervals: application to a mixed model describing HIV infection. Statistics in Medicine 2005; 24:3185-3198.
15. Uusipaikka EI. A new method for construction of profile likelihood based confidence intervals. Proceedings of the Biometrics Section of the American Statistical Association, Alexandria. The American Statistical Association, 1996; 244-249.
16. Venzon DJ, Moolgavkar SH. A method for computing profile-likelihood-based confidence intervals. Applied Statistics 1988; 37:87-94.
17. Matthews DA. Likelihood-based confidence intervals for functions of many parameters. Biometrika 1988; 75: 139-144.
18. Chen J, Jennrich RI. The signed root deviance profile and confidence intervals in maximum likelihood analysis. Journal of the American Statistical Association 1996; 91:993-998.
19. McCullagh P, Nelder JA. Generalized Linear Models. Chapman & Hall: London, 1989.
20. Wolfram S. The Mathematica Book (4th edn). Wolfram Media/Cambridge University Press: Champaign, IL, U.S.A., 1999.
21. Barndorff-Nielsen OE, Cox DR. Inference and Asymptotics. Chapman & Hall: London, 1994.
22. Statistical Inference Package SIP. http://www.wolfram.com/products/ applications/sip/ [28 March 2006].
23. Harris EK, Boyd JC. On dividing reference data into subgroups to produce separate reference ranges. Clinical Chemistry 1990; 36:265-270.
24. Pierce DA, Schafer DW. Residuals in generalized linear models. Journal of the American Statistical Association 1986; 81:977-986.
25. Wald NJ, Cuckle HS, Densem JW, Kennard A, Smith D. Maternal serum screening for Down's syndrome: the effect of routine ultrasound scan determination of gestational age and adjustment for maternal weight. British Journal of Obstetrics and Gynaecology 1992; 99:144-149.
26. Linnet K. Two-stage transformation systems for normalization of reference distributions evaluated. Clinical Chemistry 1987; 33:381-386.