2011
Statistical Inference in Mixed Models and Analysis of Twin and Family Data
Wang X, Guo X, He M, Zhang H. Statistical Inference in Mixed Models and Analysis of Twin and Family Data. Biometrics 2011, 67: 987-995. PMID: 21306354, PMCID: PMC3129472, DOI: 10.1111/j.1541-0420.2010.01548.x.Peer-Reviewed Original ResearchConceptsStandard regularity conditionsStatistical inferenceAsymptotic distributionRegularity conditionsSufficient conditionsCholesky decompositionLikelihood ratio testComputational softwareLinear modelAdvanced theoryFamily data analysisImportant exampleRatio testFamily dataKey ideaPrecise estimatesMixed-effects modelsTheoryMixed effects modelsData setsIdentifiabilityModelEstimatesMixed modelsGeneral linear model
2007
A score test for linkage analysis of ordinal traits based on IBD sharing
Feng R, Zhang H. A score test for linkage analysis of ordinal traits based on IBD sharing. Biostatistics 2007, 9: 114-127. PMID: 17519391, DOI: 10.1093/biostatistics/kxm016.Peer-Reviewed Original Research
2006
Generalized score test of homogeneity for mixed effects models
Zhu H, Zhang H. Generalized score test of homogeneity for mixed effects models. The Annals Of Statistics 2006, 34: 1545-1569. DOI: 10.1214/009053606000000380.Peer-Reviewed Original ResearchTest statisticsAsymptotic distributionRandom quadratic formsGeneralized score testQuadratic formInvariance principleScore testTest of homogeneityLatent variable modelsSimulation studyResampling procedureRestrictive assumptionsEmpirical performanceHomogeneity hypothesisTheoretical resultsVariance componentsVariable modelTest procedureBiomedical studiesMild conditionsInvarianceOverdispersionImportant problemsAssumptionsObservational data
2003
Hypothesis testing in mixture regression models
Zhu H, Zhang H. Hypothesis testing in mixture regression models. Journal Of The Royal Statistical Society Series B (Statistical Methodology) 2003, 66: 3-16. DOI: 10.1046/j.1369-7412.2003.05379.x.Peer-Reviewed Original ResearchMixture regression modelLikelihood estimatorTest statisticLog-likelihood ratio test statisticOptimal convergence ratesMaximum likelihoodRatio test statisticAsymptotic theoryReal data setsAsymptotic distributionConvergence rateTheoretical resultsEmpirical performanceReasonable conditionsSimulation studyHypothesis testingEstimatorStatisticsData setsRegression modelsModelTheoryDistribution