Effects of Response Errors on Population Parameters in Double Sampling for Stratification

David Anekeya Alilah; Robert Keli; Harun Makwata; James Kahiri; Leo O. Odongo

doi:doi:10.11648/j.sjams.20150302.11

| Peer-Reviewed

Effects of Response Errors on Population Parameters in Double Sampling for Stratification

David Anekeya Alilah, Robert Keli, Harun Makwata, James Kahiri, Leo O. Odongo

Published in Science Journal of Applied Mathematics and Statistics (Volume 3, Issue 2)

Received: 30 January 2015 Accepted: 19 February 2015 Published: 2 March 2015

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

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.

Published in	Science Journal of Applied Mathematics and Statistics (Volume 3, Issue 2)
DOI	10.11648/j.sjams.20150302.11
Page(s)	27-32
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Response Errors, Double Sampling for Stratification, Error Proportion

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 Unpublished Ph.D dissertation.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.

Cite This Article

Plain Text BibTeX RIS

APA Style

David Anekeya Alilah, Robert Keli, Harun Makwata, James Kahiri, Leo O. Odongo. (2015). Effects of Response Errors on Population Parameters in Double Sampling for Stratification. Science Journal of Applied Mathematics and Statistics, 3(2), 27-32. https://doi.org/10.11648/j.sjams.20150302.11

Copy | Download

ACS Style

David Anekeya Alilah; Robert Keli; Harun Makwata; James Kahiri; Leo O. Odongo. Effects of Response Errors on Population Parameters in Double Sampling for Stratification. Sci. J. Appl. Math. Stat. 2015, 3(2), 27-32. doi: 10.11648/j.sjams.20150302.11

Copy | Download

AMA Style

David Anekeya Alilah, Robert Keli, Harun Makwata, James Kahiri, Leo O. Odongo. Effects of Response Errors on Population Parameters in Double Sampling for Stratification. Sci J Appl Math Stat. 2015;3(2):27-32. doi: 10.11648/j.sjams.20150302.11

Copy | Download

@article{10.11648/j.sjams.20150302.11,
  author = {David Anekeya Alilah and Robert Keli and Harun Makwata and James Kahiri and Leo O. Odongo},
  title = {Effects of Response Errors on Population Parameters in Double Sampling for Stratification},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {3},
  number = {2},
  pages = {27-32},
  doi = {10.11648/j.sjams.20150302.11},
  url = {https://doi.org/10.11648/j.sjams.20150302.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20150302.11},
  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.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Effects of Response Errors on Population Parameters in Double Sampling for Stratification
AU  - David Anekeya Alilah
AU  - Robert Keli
AU  - Harun Makwata
AU  - James Kahiri
AU  - Leo O. Odongo
Y1  - 2015/03/02
PY  - 2015
N1  - https://doi.org/10.11648/j.sjams.20150302.11
DO  - 10.11648/j.sjams.20150302.11
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 27
EP  - 32
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20150302.11
AB  - 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.
VL  - 3
IS  - 2
ER  -

Copy | Download

Author Information

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

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

David Anekeya Alilah, Robert Keli, Harun Makwata, James Kahiri, Leo O. Odongo. (2015). Effects of Response Errors on Population Parameters in Double Sampling for Stratification. Science Journal of Applied Mathematics and Statistics, 3(2), 27-32. https://doi.org/10.11648/j.sjams.20150302.11

Copy | Download

ACS Style

David Anekeya Alilah; Robert Keli; Harun Makwata; James Kahiri; Leo O. Odongo. Effects of Response Errors on Population Parameters in Double Sampling for Stratification. Sci. J. Appl. Math. Stat. 2015, 3(2), 27-32. doi: 10.11648/j.sjams.20150302.11

Copy | Download

AMA Style

David Anekeya Alilah, Robert Keli, Harun Makwata, James Kahiri, Leo O. Odongo. Effects of Response Errors on Population Parameters in Double Sampling for Stratification. Sci J Appl Math Stat. 2015;3(2):27-32. doi: 10.11648/j.sjams.20150302.11

Copy | Download

@article{10.11648/j.sjams.20150302.11,
  author = {David Anekeya Alilah and Robert Keli and Harun Makwata and James Kahiri and Leo O. Odongo},
  title = {Effects of Response Errors on Population Parameters in Double Sampling for Stratification},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {3},
  number = {2},
  pages = {27-32},
  doi = {10.11648/j.sjams.20150302.11},
  url = {https://doi.org/10.11648/j.sjams.20150302.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20150302.11},
  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.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Effects of Response Errors on Population Parameters in Double Sampling for Stratification
AU  - David Anekeya Alilah
AU  - Robert Keli
AU  - Harun Makwata
AU  - James Kahiri
AU  - Leo O. Odongo
Y1  - 2015/03/02
PY  - 2015
N1  - https://doi.org/10.11648/j.sjams.20150302.11
DO  - 10.11648/j.sjams.20150302.11
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 27
EP  - 32
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20150302.11
AB  - 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.
VL  - 3
IS  - 2
ER  -

Copy | Download