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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">radhyd</journal-id><journal-title-group><journal-title xml:lang="ru">Радиационная гигиена</journal-title><trans-title-group xml:lang="en"><trans-title>Radiatsionnaya Gygiena = Radiation Hygiene</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1998-426X</issn><issn pub-type="epub">2409-9082</issn><publisher><publisher-name>NIIRG</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21514/1998-426X-2019-12-4-47-55</article-id><article-id custom-type="elpub" pub-id-type="custom">radhyd-657</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>Научные статьи</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Scientific articles</subject></subj-group></article-categories><title-group><article-title>Использование метода бета-подстановки для анализа цензурированных данных об объемной активности радона в воздухе помещений</article-title><trans-title-group xml:lang="en"><trans-title>Application of the β-substitution method for analyzing censored data on indoor radon concentrations</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1392-1226</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кононенко</surname><given-names>Д. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Kononenko</surname><given-names>Dmitry V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кононенко Дмитрий Викторович – научный сотрудник лаборатории дозиметрии природных источников</p><p>197101, Санкт-Петербург, ул. Мира, д. 8</p></bio><bio xml:lang="en"><p>Researcher</p><p>Mira str., 8, Saint-Petersburg, 197101</p></bio><email xlink:type="simple">d.kononenko@niirg.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Санкт-Петербургский научно-исследовательский институт радиационной гигиены имени профессора П.В. Рамзаева, Федеральная служба по надзору в сфере защиты прав потребителей и благополучия человека</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Saint-Petersburg Research Institute of Radiation Hygiene after Professor P.V. Ramzaev, Federal Service for Surveillance on Consumer Rights Protection and Human Well-Being</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>06</day><month>01</month><year>2020</year></pub-date><volume>12</volume><issue>4</issue><fpage>47</fpage><lpage>55</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Кононенко Д.В., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Кононенко Д.В.</copyright-holder><copyright-holder xml:lang="en">Kononenko D.V.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" 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.radhyg.ru/jour/article/view/657">https://www.radhyg.ru/jour/article/view/657</self-uri><abstract><p>При обработке результатов измерений объемной активности радона, проводимых в рамках радоновых обследований на различных уровнях административно-территориального деления, существует проблема учета результатов, значение которых не превышает нижней границы диапазона измерений использованного типа средств измерений, т.е. задача анализа цензурированных слева данных. В данной работе на практическом примере продемонстрирована возможность применения одного из наиболее точных, но при этом несложных с вычислительной точки зрения методов анализа цензурированных данных – метода бета-подстановки – для анализа массива результатов измерений объемной активности радона в воздухе помещений. Выполнен анализ результатов радонового обследования, проведенного в рамках региональной программы «Радон» в Красносельском районе Санкт-Петербурга в 2000 г. Показано, что грубые подходы к решению обозначенной задачи, такие как отбрасывание цензурированных значений или их замена на значение нижней границы диапазона измерений, могут приводить к существенному смещению оценок параметров или статистических характеристик получаемых распределений, которые в дальнейшем используются при расчете доз внутреннего облучения населения радоном и различных показателей риска для здоровья населения, что приводит к заметному их завышению. Результаты визуального и количественного анализа Q-Q диаграмм позволяют сделать вывод о том, что оцененные параметры распределения, полученного после применения метода бета-подстановки, характеризуются минимальным смещением. Использованный метод бета-подстановки может быть рекомендован для применения в качестве элемента в процедуре обработки результатов радоновых обследований для минимизации смещения оценок параметров распределений значений объемной активности радона, наряду с методом построения и анализа Q-Q диаграмм, применяемым для проверки соответствия полученных распределений логнормальному закону.</p></abstract><trans-abstract xml:lang="en"><p>When analyzing the results of radon surveys, there could be an issue with measurements that are below the limit of detection (LOD) of the measurement technique used. This issue is usually referred to as the management of left-censored data. The paper presents the results of the practical application of one the most accurate and easy to calculate methods for analyzing censored data – the β-substitution method – to the analysis of an indoor radon concentrations dataset. The results of the radon survey conducted in the framework of the regional program “Radon” in Krasnoselskiy district of St. Petersburg in 2000 have been used as the test dataset. It is shown that inappropriate approaches to the management of the censored data, such as discarding the censored values or substituting them with the LOD value, can lead to considerably biased estimates of parameters or statistics of the resulting distributions. Further, this could result in an overestimation of doses and risk estimates which are based on the median values. The visual and quantitative analysis of Q-Q plots leads to conclusion that the estimated parameters of the distribution after the application of the β-substitution method are characterized by a minimum bias. The applied β-substitution method could be recommended for use as an element in the procedure of analyzing the results of radon surveys to minimize the bias of the estimates of the parameters of the radon concentration distributions alongside with Q-Q plots used to verify the conformity of radon concentrations with a lognormal distribution.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>радон</kwd><kwd>объемная активность</kwd><kwd>анализ цензурированных данных</kwd><kwd>бета-подстановка</kwd><kwd>логнормальное распределение</kwd><kwd>параметры распределения</kwd><kwd>Q-Q диаграмма</kwd><kwd>оценка риска</kwd></kwd-group><kwd-group xml:lang="en"><kwd>radon</kwd><kwd>concentration</kwd><kwd>censored data analysis</kwd><kwd>beta-substitution</kwd><kwd>β-substitution</kwd><kwd>lognormal distribution</kwd><kwd>distribution parameters</kwd><kwd>Q-Q plot</kwd><kwd>risk assessment</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">Маренный, А.М. 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