This paper defined and studies the use of the response and nonresponse distributions for the prediction of finite population totals under single-stage sampling, when the sampling design is noninformative and missing value mechanism is nonignorable. The proposed predictors employ the response set values of the target study variable, the weights of the response set units. The prediction problem is treated by estimating the expectations of the study values for unobserved units in sample – nonresponse set, and for non-sample units. We apply the proposed new method, under three population models, namely: common mean population model, simple ratio population model, and simple regression population model. The main features of the present predictors are their behaviours in terms of the nonignorable nonresponse parameters. Also the use of the best linear unbiased predictors and estimators that ignore the nonignorable nonresponse yield biased predictors and bias estimators.Furthermore, we introduce new test for the testing ignorability of nonresponse based on the Kullback-Leibler information measure.
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Keywords: Probability-Weighted Estimator; Nonignorable Nonresponse; Response distribution.; Kullback-Leibler Information Measure
Biography: Abdulhakeem Eideh, Al-Quds University, Palestine, is sampling: designa and analysis consultants, academic, and trainer for official statistics, in particular, Palestinian Central Bureau of Statistics. Since 2001, Abdulhakeem vists Univ of Southampton (S3RI) 10 times. Most of Abdulhakeem career is an academic statistician with resposibilities for teaching and research: analysis of complex survey data. Abdulhakeem married with Hudda and has a family with six children:
Muath – 22 years old: 4th year faculty of medicine at Al-Quds Univ, cv 85
Yasmeen – 20 years old: 2nd year faculty of dawa - Islamic studies, cv 70
Mohamd Noor: 18 years old - grade 12: last year school, cv 90
Chaza – 13 years old: grade 8, cv 92
Adie – 8 years old: grade 3, cv = good
Saad Aldeen – 6 years old: grade 1, cv good