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ABSTRACT
In this research, we propose longitudinal generalised variance functions (LGVFs) to produce convenient estimates of variances by incorporating time effect into modelling. Asymptotic properties of some certain type of estimators are investigated. Simulation studies and implementation of the proposed methods to Current Population Survey (CPS) data show that LGVFs work well in producing standard error estimates.
Acknowledgements
The authors thank the referees for helpful comments and constructive suggestions to improve the manuscript.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Notes on contributors
Guoyi Zhang
Dr Guoyi Zhang is an Associate Professor of the Department of Mathematics and Statistics at the University of New Mexico. His research areas are in nonparametric function estimation, statistical computing, and survey sampling.
Yang Cheng
Dr Yang Cheng is a Senior Mathematical Statistician at the Substance Abuse and Mental Health Administration. He works on the areas of sample designs, weighting structure, statistical estimation and modelling.
Yan Lu
Dr Yan Lu is an Associate Professor of the Department of Mathematics and Statistics at the University of New Mexico. Her research areas are in survey sampling and mixed Models.