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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">edscience</journal-id><journal-title-group><journal-title xml:lang="ru">Образование и наука</journal-title><trans-title-group xml:lang="en"><trans-title>The Education and science journal</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1994-5639</issn><issn pub-type="epub">2310-5828</issn><publisher><publisher-name>RSVPU</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17853/1994-5639-2014-7-36-46</article-id><article-id custom-type="elpub" pub-id-type="custom">edscience-243</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>КВАЛИМЕТРИЧЕСКИЙ ПОДХОД В ОБРАЗОВАНИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>QUALIMETRIC APPROACH IN EDUCATION</subject></subj-group></article-categories><title-group><article-title>ИССЛЕДОВАНИЕ ТОЧНОСТИ ИЗМЕРЕНИЯ ЛАТЕНТНЫХ ПЕРЕМЕННЫХ В ОБРАЗОВАНИИ</article-title><trans-title-group xml:lang="en"><trans-title>INVESTIGATION OF MEASUREMENT PRECISION OF LATENT VARIABLES IN EDUCATION</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Маслак</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Maslak Anatoly A.</surname><given-names>Anatoly A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>доктор технических наук, профессор, заведующий лабораторией объективных измерений</p></bio><bio xml:lang="en"><p>Doctor of Science, Professor, Head of Laboratory for Objective Measurement</p></bio><email xlink:type="simple">ruch_measurement@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Осипов</surname><given-names>С. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Osipov</surname><given-names>Sergey A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>кандидат технических наук, доцент кафедры математики и информатики</p></bio><bio xml:lang="en"><p>Candidate of Sciences, Associate Professor, Department of Mathematics and Informatics</p></bio><email xlink:type="simple">osipov21@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гончарова</surname><given-names>Т. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Goncharova</surname><given-names>Tatyana N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>аспирант кафедры математики и информатики</p></bio><bio xml:lang="en"><p>Postgraduate, Department of Mathematics and Informatics</p></bio><email xlink:type="simple">tngonchrova@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">филиал Кубанского государственного университета, Славянск-на-Кубани<country>Россия</country></aff><aff xml:lang="en">Affiliate of Kuban State University, Slavyansk-on-Kuban<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2014</year></pub-date><pub-date pub-type="epub"><day>08</day><month>03</month><year>2015</year></pub-date><volume>0</volume><issue>7</issue><fpage>36</fpage><lpage>46</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Маслак А.А., Осипов С.А., Гончарова Т.Н., 2015</copyright-statement><copyright-year>2015</copyright-year><copyright-holder xml:lang="ru">Маслак А.А., Осипов С.А., Гончарова Т.Н.</copyright-holder><copyright-holder xml:lang="en">Maslak Anatoly A. A.A., Osipov S.A., Goncharova T.N.</copyright-holder><license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.edscience.ru/jour/article/view/243">https://www.edscience.ru/jour/article/view/243</self-uri><abstract><p>Цель работы – исследование точности измерения латентных переменных в зависимости от числа дихотомических тестовых заданий и диапазона их варьирования.</p><sec><title>Методика и методы</title><p>Методика и методы: исследование проведено на основе имитационного моделирования.</p></sec><sec><title>Результаты</title><p>Результаты. Разработаны рекомендации по выбору числа дихотомических тестовых заданий и диапазона их варьирования в зависимости от требуемой точности измерения латентных переменных.</p></sec><sec><title>Научная новизна</title><p>Научная новизна. Получена статистическая взаимосвязь между точностью измерения латентной переменной и числом тестовых заданий и диапазона их варьирования.</p></sec><sec><title>Практическая значимость</title><p>Практическая значимость. Результаты исследования могут быть использованы при построении тестов и опросников для измерения латентных переменных.</p></sec></abstract><trans-abstract xml:lang="en"><p>The objective of the study is to investigate the measurement accuracy of latent variables depending on a number of dichotomous test items and variation range.</p><sec><title>Methods</title><p>Methods: Investigation is based on the simulation experiments.</p></sec><sec><title>Results</title><p>Results: The authors make recommendations for selecting a number of dichotomous test items and variation range depending on the required measurement precision of latent variables.</p></sec><sec><title>Scientific novelty</title><p>Scientific novelty: The research demonstrates statistical correlation between the measurement precision of latent variables and a number of test items and variation range.</p></sec><sec><title>Importance for practice</title><p>Importance for practice: The research results can be used while developing the questionnaires and tests for measuring the latent variables.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>латентная переменная</kwd><kwd>модель Раша</kwd><kwd>точность измерения</kwd><kwd>имитационный эксперимент</kwd></kwd-group><kwd-group xml:lang="en"><kwd>latent variable</kwd><kwd>Rasch model</kwd><kwd>measurement precision</kwd><kwd>dichotomous items</kwd><kwd>simulation experiment</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Rasch G., 1980. 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