Title
Dimension reduction with missing response at random.
Abstract
When there are many predictors, how to efficiently impute responses missing at random is an important problem to deal with for regression analysis because this missing mechanism, unlike missing completely at random, is highly related to high-dimensional predictor vectors. In sufficient dimension reduction framework, the fusion-refinement (FR) method in the literature is a promising approach. To make estimation more accurate and efficient, two methods are suggested in this paper. Among them, one method uses the observed data to help on missing data generation, and the other one is an ad hoc approach that mainly reduces the dimension in the nonparametric smoothing in data generation. A data-adaptive synthesization of these two methods is also developed. Simulations are conducted to examine their performance and a HIV clinical trial dataset is analyzed for illustration.
Year
DOI
Venue
2014
10.1016/j.csda.2013.08.001
Computational Statistics & Data Analysis
Keywords
Field
DocType
data generation,impute response,hiv clinical trial dataset,missing mechanism,missing response,missing data generation,sufficient dimension reduction framework,data-adaptive synthesization,promising approach,important problem,observed data,multiple imputation
Econometrics,Data mining,Dimensionality reduction,Regression analysis,Missing data,Imputation (statistics),Statistics,Nonparametric smoothing,Sufficient dimension reduction,Test data generation,Mathematics
Journal
Volume
ISSN
Citations 
69
0167-9473
2
PageRank 
References 
Authors
0.72
0
4
Name
Order
Citations
PageRank
Xu Guo165.09
Tao Wang2154.71
Wangli Xu396.40
Lixing Zhu411634.41