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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. AMS Subject Classification: 62D05, 62P99

ASSESSING SOME ESTIMATION CRITERIA OF MEASUREMENT ERROR FOR CATEGORICAL DATA