A limited dependent variable model for heritability estimation with non-random ascertained samples

被引:10
作者
Bechger, TM
Boomsma, DI
Koning, H
机构
[1] CITO, OPD, NL-6801 MG Arnhem, Netherlands
[2] Vrije Univ Amsterdam, Dept Expt Psychol, Amsterdam, Netherlands
关键词
sample selection; missing data; volunteering bias; DeFries-Fulker regression; Heckman model; limited dependent variables model; Immunoglobulin E; asthma;
D O I
10.1023/A:1015257908396
中图分类号
B84 [心理学]; C [社会科学总论]; Q98 [人类学];
学科分类号
03 ; 0303 ; 030303 ; 04 ; 0402 ;
摘要
In a questionnaire study, a random sample of Dutch families was asked whether they suffered from asthma and related symptoms. From these families, a selected sample was invited to come to the hospital for further phenotyping. Families were selected if at least one family member reported a history of asthma and the twins were 18 years of age or older. Not all families that were thus selected volunteered, leaving us with a fraction of the original sample. The aim of this paper is to describe a limited dependent variable model that can be used in such situations in order to obtain estimates that are representative of the population from which the sample was originally drawn. The model is a linear (DeFries-Fulker) regression model corrected for sample selection. This correction is possible when (some of) the characteristics that determine whether subjects volunteer (or not) are known for all subjects, including those that did not volunteer. The questionnaire study is of interest by itself but serves mainly to provide a concrete illustration of our method. The present model is used to analyze the data and the results are compared to those obtained with other methods: raw (or direct) likelihood estimation, multiple imputation, and sample weighting. Throughout, Rubin's general theory of inference with missing data serves as an integrating framework.
引用
收藏
页码:145 / 151
页数:7
相关论文
共 35 条
[1]  
Aitchison J., 1969, The lognormal distribution With special reference to its uses in economics
[2]  
Arbuckle J. L., 1996, Advanced structural equation modeling: Issues and techniques, P243, DOI [10.4324/9781315827414, DOI 10.4324/9781315827414]
[3]  
Arminger G, 1995, HDB STAT MODELING SO
[4]  
BECHGER TM, 1997, UNPUB CASE HERITABIL
[5]  
BOOMSMA DI, 1999, IN PRESS TWIN RES
[6]   ASSOCIATION OF ASTHMA WITH SERUM IGE LEVELS AND SKIN-TEST REACTIVITY TO ALLERGENS [J].
BURROWS, B ;
MARTINEZ, FD ;
HALONEN, M ;
BARBEE, RA ;
CLINE, MG .
NEW ENGLAND JOURNAL OF MEDICINE, 1989, 320 (05) :271-277
[7]   MULTIPLE-REGRESSION ANALYSIS OF TWIN DATA [J].
DEFRIES, JC ;
FULKER, DW .
BEHAVIOR GENETICS, 1985, 15 (05) :467-473
[8]  
Dudewicz E., 1988, MODERN MATH STAT
[9]   ESTIMATION FOR THE MULTIPLE FACTOR MODEL WHEN DATA ARE MISSING [J].
FINKBEINER, C .
PSYCHOMETRIKA, 1979, 44 (04) :409-420
[10]   MULTIPLE-REGRESSION ANALYSIS OF SIB-PAIR DATA ON READING TO DETECT QUANTITATIVE TRAIT LOCI [J].
FULKER, DW ;
CARDON, LR ;
DEFRIES, JC ;
KIMBERLING, WJ ;
PENNINGTON, BF ;
SMITH, SD .
READING AND WRITING, 1991, 3 (3-4) :299-313