Imputation methods of missing data for estimating the population mean using simple random sampling with known correlation coefficient

被引:18
作者
Al-Omari, Amer Ibrahim [1 ]
Bouza, Carlos N. [2 ]
Herrera, Carmelo [3 ]
机构
[1] Al al Bayt Univ, Dept Math, Fac Sci, Mafraq, Jordan
[2] Univ La Habana, Havana, Cuba
[3] Univ Las Palmas de Cran Canaria, Las Palmas Gran Canaria, Spain
关键词
Imputation; Missing data; Efficiency;
D O I
10.1007/s11135-011-9522-1
中图分类号
C [社会科学总论];
学科分类号
03 ; 0303 ;
摘要
This paper considers three ratio estimators of the population mean using known correlation coefficient between the study and auxiliary variables in simple random sample when some sample observations are missing. The suggested estimators are compared with the estimators of Singh and Horn (Metrika 51:267-276, 2000), Singh and Deo (Stat Pap 44:555-579, 2003) and Kadilar and Cingi (Commun Stat Theory Methods 37:2226-2236, 2008). They are compared with other imputation estimators based on the mean or a ratio. It is found that the suggested estimators are approximately unbiased for the population mean. Also, it turns out that the suggested estimators perform well when compared with the other estimators considered in this study.
引用
收藏
页码:353 / 365
页数:13
相关论文
共 16 条
[1]   An introduction to modern missing data analyses [J].
Baraldi, Amanda N. ;
Enders, Craig K. .
JOURNAL OF SCHOOL PSYCHOLOGY, 2010, 48 (01) :5-37
[2]  
Bouza CN., 2008, REV INVESTIG OPER, V29, P207
[3]  
Bouza Herrera C., 2003, REV MATEMATICA ESTAT, V21, P85
[4]  
Cairo-Valcarcel E., 2000, Revista Cubana de Psicologia, V17, P95
[5]   An improved estimator to analyse missing data [J].
Gonzalez, S. ;
Rueda, M. ;
Arcos, A. .
STATISTICAL PAPERS, 2008, 49 (04) :791-796
[6]   Estimators for the population mean in the case of missing data [J].
Kadilar, Cem ;
Cingi, Hulya .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2008, 37 (14) :2226-2236
[7]   New imputation methods for missing data using quantiles [J].
Munoz, J. F. ;
Rueda, M. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 232 (02) :305-317
[8]  
RAO JNK, 1995, BIOMETRIKA, V82, P453
[9]  
RUBIN DB, 1976, BIOMETRIKA, V63, P581, DOI 10.1093/biomet/63.3.581
[10]   A new ratio-type imputation with random disturbance [J].
Rueda, M. ;
Gonzalez, S. .
APPLIED MATHEMATICS LETTERS, 2008, 21 (09) :978-982