Effects of Response Errors on Population Parameters in Double Sampling for Stratification
Science Journal of Applied Mathematics and Statistics
Volume 3, Issue 2, April 2015, Pages: 27-32
Received: Jan. 30, 2015; Accepted: Feb. 19, 2015; Published: Mar. 2, 2015
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Authors
David Anekeya Alilah, Departments mathematics and physical sciences, Maasai Mara University, Narok, Kenya
Robert Keli, Departments of Mathematics, Masinde Muliro University of Science & Technology, Kakamega, Kenya
Harun Makwata, Departments of Mathematics, Masinde Muliro University of Science & Technology, Kakamega, Kenya
James Kahiri, Departments of Statistics and Actuarial Sciences, Kenyatta University, Nairobi, Kenya
Leo O. Odongo, Departments of Statistics and Actuarial Sciences, Kenyatta University, Nairobi, Kenya
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Abstract
This study investigates the effects of response errors on population parameters obtained by double sampling for stratification at the interview and data processing level. Simulation study is carried out to investigate the effects of the response errors on these estimates. Finite population is generated using R-statistical package and study variables are investigated in the presence and absence of errors. The results obtained are compared. It is observed that, in the presence of response errors on the estimates results in underestimation of the population parameters.
Keywords
Response Errors, Double Sampling for Stratification, Error Proportion
To cite this article
David Anekeya Alilah, Robert Keli, Harun Makwata, James Kahiri, Leo O. Odongo, Effects of Response Errors on Population Parameters in Double Sampling for Stratification, Science Journal of Applied Mathematics and Statistics. Vol. 3, No. 2, 2015, pp. 27-32. doi: 10.11648/j.sjams.20150302.11
References
[1]
Chandhok, P. (1988). Stratified Sampling under Measurement Error with Optimal Allocation. Unpublished Ph.D dissertation.
[2]
Chen, T.T. (1979). Log Linear Models for Categorical Data with Misclassification and Double Sampling. Journal of the American Statistical Association, 74 (366), 481 - 488.
[3]
Clement E.P, Udofia G.A, Enang E.I(2014). Estimation for domains in stratified sampling design in the presence of non-response, American journal of mathematics and Statistics, Vol 4. No.2, 2014, pp. 65-71.
[4]
Cochran, W.G. (1977). Sampling Techniques. Third edition, John Wiley and Sons, New York.
[5]
Cohen, S and Kang, K. (2008). Assessment of Misclassification Error in Stratification due to Incomplete Frame Information. Research Triangle Park, NC. 01- 34.
[6]
Espeland, M.A. and Odoroff, C. L. (1985). Log-Linear Models for Double Sampled Categorical Data Fitted by the EM Algorithm. Journal of American Statistical Association, 80, 663-670.
[7]
Fellergi, L(1964). Response Variance and its Estimation. Journal of American Statistical Association, 59, 1016 – 1041.
[8]
Gamrot W.(2006). Estimation of a domain total under non-response in double sampling. Statistics in Transition, 7(4), 831-840
[9]
Hansen, M.H., Hurwitz W.N. and Madow W.G. (1953). Response Errors in Surveys Theory. Journal of American Statistical Association, 46, 147-190.
[10]
Horvitz, D.G. and Wolter K.M. (1967). Total Survey Design: Advances in Health Survey, Research Methods. US Department of Health Education and Welfare Publication. No. (HRA) 77 – 3154.
[11]
Jenkins, S.P., Lynn, P., Jackle, A. and Sala, E. (2012). The Impact of Questioning Method on Measurement Errors in Panel Survey Measures of Benefit Recipients; Evidence from a Validation Study. Journal of the Royal Statistical Society, Series A (Statistics in Society), 175, 289-308.
[12]
Kahiri, J.K. (1995). Impact of Measurement Errors on Categorical Data, Unpublished PhD thesis, University of Southampton.
[13]
Kahiri, J.K. (2007). Misclassification Errors from Respondents, Interviewers and Coders. East African journal of statistics, 1(3), 233-247.
[14]
Singh, M.P. and Tessie, R. (1965). Method Test Panel (MTP) Phase III: Feasibility Test for Complete Non Proxy Procedures: Methodology and Analysis Statistics Canada.
[15]
Udofia, G.A. (2002) Estimation for domains in double sampling for probabilities proportional to size. Sankhya, B64, 82-89
[16]
Warner, S.L. (1965). Randomized Response: A Survey technique for Eliminating Evasive Answer Bias. Journal of American Statistical Association, 60, 63 – 69.
[17]
Zarkovich, S .S. (1965). Sampling Methods for Censuses. Food and Agriculture Organization of the United Nations, Rome.
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