2018
Modeling hybrid traits for comorbidity and genetic studies of alcohol and nicotine co-dependence
Zhang H, Liu D, Zhao J, Bi X. Modeling hybrid traits for comorbidity and genetic studies of alcohol and nicotine co-dependence. The Annals Of Applied Statistics 2018, 12: 2359-2378. PMID: 30666272, PMCID: PMC6338437, DOI: 10.1214/18-aoas1156.Peer-Reviewed Original ResearchFull likelihoodComplicated likelihood functionsParametric frameworkParametric modeling frameworkHigh computational complexityExtensive simulation studyModel fitting algorithmStatistical inferenceRank-based methodLikelihood functionComputational burdenType I error ratesComputational complexityFitting algorithmSimulation studyNovel multivariate modelModeling frameworkEffect size estimationLatent variablesHybrid modelInferenceSize estimationModelFrameworkTheory
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
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