ASSESSING SOME ESTIMATION CRITERIA OF
MEASUREMENT ERROR FOR CATEGORICAL DATA

Abstract

The measurement error is an essential and unavoidable part of nonsampling error in surveys. Therefore, estimation of the measurement error to compute precision of the survey results is necessary. In the previous investigations, modeling of measurement error for continues and categorical data is studied. In this paper, some criteria to quantify measurement error of categorical data are proposed. Besides, in a simulation study, the effect of sample size and number of categories on performance of the criteria is assessed. Furthermore, based on the simulation results, the standard error of the criteria is compared and the proper criterion is proposed for each of the cases of categorical data.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 30
Issue: 2
Year: 2017

DOI: 10.12732/ijam.v30i2.1

Download Section



Download the full text of article from here.

You will need Adobe Acrobat reader. For more information and free download of the reader, please follow this link.

References

  1. [1] R. Alimohammadi and H.R. Navvabpour, Response error modeling in face to face surveys, Research Journal of Science of Isfahan University, 4, No 33 (2008), 1-14.
  2. [2] R. Alimohammadi, Modeling of measurement error for categorical datasurveys, International Mathematical Forum, 7, No 57 (2012), 2833-2837.
  3. [3] P. Biemer and S.L. Stokes, Approaches of modeling of measurement error, In: P. Biemer et al., Measurement Error in Surveys, Wiley, New York (1991), 487-516.
  4. [4] P. Biemer and D. Trewin, A review of measurement error effects on the analysis of survey data, In: L. Lyberg, P. Biemer, M. Collins, E. Deleeuw, C. Dippo, N. Schwartz and D. Trewin (Eds.), Survey Measurement and Process Quality, Wiley, New York (1997).
  5. [5] J. Cohen, A coefficient of agreement for nominal scales, Educational and Psycological Measurement, 10, No 1 (1960), 37-46.
  6. [6] J. Fleiss and J. Cohen, The equivalence of weighted kappa and the intraclass correlation coefficient as measure of reliability, Educational and Psycological Measurement, 33 (1973), 613-619.
  7. [7] L. Kish, Studies of interviewer variance for attitudinal variables, Journal of the American Statistical Association, 57 (1962), 92-115.