INVESTIGATION OF MEASUREMENT PRECISION OF LATENT VARIABLES DEPENDING ON THE NOISE TEST RESULTS
DOI:
https://doi.org/10.17770/sie2019vol5.3770Keywords:
latent variable, precision of measurement, Rasch modelAbstract
Measurement precision is an important aspect of experimental studies because it affects the effectiveness of decisions. The precision of measurements is influenced by many factors, including the quality of the original data or how the data was obtained. When measuring a latent variable, one of these factors is the precision of the indicators. For example, there may be situations in which, for various reasons, the subject gave the wrong answer instead of the correct answer and vice versa. This fully applies to conducting surveys. In general, we are talking about the noise of the original data. The aim of the work is to analyze the precision of measurement of the latent variable depending on the degree of noise of the original data. The results of the simulation experiment are used as initial data, which allows to simulate the necessary experimental situations. The analysis is conducted within the framework of the theory of latent variables, which allows to obtain estimates of the latent variable on a linear scale. The measurement precision of the latent variable is determined on the basis of absolute error. The noise level of the original data varies from 0 to 0.10%. It is shown that even minor noise of the original data significantly reduces the precision of the measurement of the latent variable.
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References
Bond, Trevor, G. (2015). Applying the Rasch model : fundamental measurement in the human sciences. Third edition. Trevor G. Bond & Christine M. Fox. Routledge. New York. NY.
Engelhard, G. (2013). Invariant Measurement: Using Rash Models in the Social, Behavioral, and Health Sciences. Routledge, New York, NY.
Krabe, P. (2017). The Measurement of Health and Health Status: Concepts, Methods, and Applications from a Multidisciplinary Perspective. Academic Press, Elsevier. London.
Leus, O., & Maslak, A. (2018) Measurement and Analysis of Teachers’ Professional Performance. Society. Integration. Education. Proceeding of the International Scientific Conference. Vol. II, Higher Education, May 25th-26th, 2018. Rezekne : Rezekne Academy of Technologies, 308–319.
Maslak, A. A., Karabatsos, G., Anisimova, T. S., & Osipov, S. A. (2005). Measuring and Comparing Higher Education Quality between Countries Worldwide. Journal of Applied Measurement, 6(4), 432 – 442.
Maslak, A., Moiseev, S., & Nasonova, T. (2018). Application of the Rasch Method of Evaluating Latent Variables in Management and Administration. Society. Integration. Education. Proceeding of the International Scientific Conference. Vol. VI, Higher Education, May 25th-26th, 2018. Rezekne: Rezekne Academy of Technologies, 330–340.
Maslak, A., & Pozdniakov, S. (2018). Measurement and Multifactorial Analysis of Students’ Patriotism. Society. Integration. Education. Proceeding of the International Scientific Conference. Vol. I, Higher Education, May 25th-26th, 2018. Rezekne: Rezekne Academy of Technologies, 2018. 373–383.
Maslak, A. A, Rybkin, A. D., Anisimova, T. S., & Pozdniakov, S. A. (2015). Monitoring of pupils’ imagination within the framework of creativity formation program. Mediterranean Journal of Social Sciences, 6(6), Supplement 5, Special edition, 234-241.
Rasch, G. (1980). Probabilistic models for some intelligence and attainment tests (Expanded edition, with foreword and afterword by Benjamin D. Wright). Chicago: University of Chicago Press.
Маслак, А.А., Моисеев, С.И., Осипов, С.А., & Поздняков, С.А. (2017). Исследование точности измерения латентной переменной в зависимости от диапазона варьирования набора индикаторов. Радіоелектроніка, інформатика, управління. 1 (40), 42-49.
Маслак, А.А., Осипов, С.А., Алиакпарова, М. М., & Филист, С.А. (2012). Оценка влияния частично правильных ответов учащихся на точность измерения уровня их подготовленности. Известия Юго-Западного государственного университета. Серия: Управление, вычислительная техника, информатика. Медицинское приборостроение, 2-2, 76-87.
