Inference on Polychotomous Responses in Finite Populations

被引:4
作者
Adhya, Sumanta [2 ]
Banerjee, Tathagata [1 ]
Chattopadhyay, Gaurangadeb [3 ]
机构
[1] Indian Inst Management, Ahmadabad 380015, Gujarat, India
[2] W Bengal State Univ, Dept Stat, Kolkata, W Bengal, India
[3] Univ Calcutta, Dept Stat, Kolkata 700073, W Bengal, India
关键词
auxiliary information; design-based approach; multinomial logit type model; predictive approach; AUXILIARY INFORMATION; ESTIMATORS; VARIANCE;
D O I
10.1111/j.1467-9469.2011.00758.x
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
. A model-based predictive estimator is proposed for the population proportions of a polychotomous response variable, based on a sample from the population and on auxiliary variables, whose values are known for the entire population. The responses for the non-sample units are predicted using a multinomial logit model, which is a parametric function of the auxiliary variables. A bootstrap estimator is proposed for the variance of the predictive estimator, its consistency is proved and its small sample performance is compared with that of an analytical estimator. The proposed predictive estimator is compared with other available estimators, including model-assisted ones, both in a simulation study involving different sampling designs and model mis-specification, and using real data from an opinion survey. The results indicate that the prediction approach appears to use auxiliary information more efficiently than the model-assisted approach.
引用
收藏
页码:788 / 800
页数:13
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