A comparison of goodness of fit tests for age-related reference ranges

被引:90
作者
Pan, H [1 ]
Cole, TJ [1 ]
机构
[1] Inst Child Hlth, Ctr Paediat Epidemiol & Biostat, London WC1N 1EH, England
基金
英国医学研究理事会;
关键词
D O I
10.1002/sim.1692
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Age-related reference ranges based on cubic spline or kernel-based smoothing methods lack a parametric framework with which to assess goodness of fit, as the distribution of the log-likelihood ratio comparing models with different degrees of smoothing is not known in general. Several methods have been proposed to assess goodness of fit in this case: Healy's grid test, Royston's Q tests and van Buuren's worm plot. Here we compare the performance of the various methods, including an extension of the Q tests, and show how they can be used, with other information including the appearance of the fitted curves, to inform the choice of model for age-related reference ranges of height and weight in a large Dutch data set. Copyright (C) 2004 John Wiley Sons, Ltd.
引用
收藏
页码:1749 / 1765
页数:17
相关论文
共 21 条
[11]  
KOENKER R, 1994, BIOMETRIKA, V81, P673
[12]   Centers for Disease Control and Prevention 2000 growth charts for the United States: Improvements to the 1977 National Center for Health Statistics version [J].
Ogden, CL ;
Kuczmarski, RJ ;
Flegal, KM ;
Mei, Z ;
Guo, S ;
Wei, R ;
Grummer-Strawn, LM ;
Curtin, LR ;
Roche, AF ;
Johnson, CL .
PEDIATRICS, 2002, 109 (01) :45-60
[13]  
RASBASH J, 1990, GROSTAT 2 PROGRAM ES
[14]  
Royston P, 2000, STAT MED, V19, P2943, DOI 10.1002/1097-0258(20001115)19:21<2943::AID-SIM559>3.0.CO
[15]  
2-5
[16]   A method for estimating age-specific reference intervals ('normal ranges') based on fractional polynomials and exponential transformation [J].
Royston, P ;
Wright, EM .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY, 1998, 161 :79-101
[17]   REGRESSION USING FRACTIONAL POLYNOMIALS OF CONTINUOUS COVARIATES - PARSIMONIOUS PARAMETRIC MODELING [J].
ROYSTON, P ;
ALTMAN, DG .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 1994, 43 (03) :429-467
[18]   Worm plot: a simple diagnostic device for modelling growth reference curves [J].
van Buuren, S ;
Fredriks, M .
STATISTICS IN MEDICINE, 2001, 20 (08) :1259-1277
[19]   AGE-RELATED REFERENCE RANGES - SIGNIFICANCE TESTS FOR MODELS AND CONFIDENCE-INTERVALS FOR CENTILES [J].
WADE, AM ;
ADES, AE .
STATISTICS IN MEDICINE, 1994, 13 (22) :2359-2367
[20]   The distribution of chi square [J].
Wilson, EB ;
Hilferty, MM .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1931, 17 :684-688