Medical Radiology and radiation safety Medical Radiology and radiation safety Медицинская радиология и радиационная безопасность 1024-6177 2618-9615 33528 10.12737/1024-6177-2019-64-6-12-24 Радиационная биология Radiation biology Радиационная биология Strength of Association. Report 2. Graduations of Correlation Size Сила связи. Сообщение 2. Градации величины корреляции Котеров А. Н. Koterov A. N.

доктор биологических наук;

doctor of sciences in biology;

 Ушенкова Л. Н. Ushenkova L. N.

кандидат биологических наук;

candidate of sciences in biology;

 Зубенкова Э. С. Zubenkova E. S. Калинина М. В. Kalinina M. V. Бирюков А. П. Biryukov A. P.

доктор медицинских наук;

doctor of medical sciences;

 Ласточкина Е. М. Lastochkina E. M. Молодцова Д. В. Molodtsova D. V. Вайнсон А. А. Vaynson A. A.

доктор биологических наук;

doctor of sciences in biology;

 Федеральный медицинский биофизический центр им. А.И. Бурназяна ФМБА России Москва Россия A.I. Burnasyan Federal Medical Biophysical Center of FMBA Moscow Russian Federation Федеральный медицинский биофизический центр им. А.И. Бурназяна ФМБА России Москва Россия A.I. Burnasyan Federal Medical Biophysical Center of FMBA Moscow Russian Federation Федеральный медицинский биофизический центр им. А.И. Бурназяна ФМБА России Москва Россия A.I. Burnasyan Federal Medical Biophysical Center of FMBA Moscow Russian Federation Федеральный медицинский биофизический центр им. А.И. Бурназяна ФМБА России Москва Россия A.I. Burnasyan Federal Medical Biophysical Center of FMBA Moscow Russian Federation Федеральный медицинский биофизический центр им. А.И.Бур­на­зяна ФМБА России Москва Россия A.I. Burnasyan Federal Medical Biophysical Center (FMBC) FMBA Moscow Russian Federation Федеральный медицинский биофизический центр им. А.И. Бурназяна ФМБА России Москва Россия A.I. Burnasyan Federal Medical Biophysical Center of FMBA Moscow Russian Federation Федеральный медицинский биофизический центр им. А.И. Бурназяна ФМБА России Москва Россия A.I. Burnasyan Federal Medical Biophysical Center of FMBA Moscow Russian Federation Национальный медицинский исследовательский центр онкологии им. Н.Н. Блохина Минздрава России Москва Россия N.N. Blokhin National Medical Research Center of Oncology Moscow Russian Federation 64 6 12 24 https://naukaru.ru/en/nauka/article/33528/view

Цель: Создание сводки данных по градациям величины эффекта для первого критерия причинности Хилла «сила ассоциации» по параметру величины коэффициента корреляции (в основном r Пирсона). Материал и методы: Обзорное исследование опубликованных источников: монографии, пособия, статьи, учебный материал по статистике в различных дисциплинах (в том числе on-line) и др. (121 ссылка; из них более 20 пособий по статистическим методам и статистике в психологии и 8 пособий по эпидемиологии). Результаты: Оценка силы связи по величине корреляции наиболее распространена в психосоциальных дисциплинах и в эпидемиологии практически не используется, поскольку установление факта статистически значимой ассоциации/корреляции в эпидемиологии – только исходный этап доказательности, в отличие от экспериментальных и названных дисциплин. Описан ряд известных шкал для r: шкала Чеддока (R.E. Chaddock) от 1925 г., которая ныне, по-видимому, не используется за рубежом, но широко представлена в странах бывшего СССР; шкала Коэна (J. Cohen) от 1969–1988 гг., отражающая «ослабленные» критерии причинности в психологии; шкала D.E. Hinkle с соавторами (1979–2003) и шкала Эванса (J.D. Evans) от 1996 г. Приведен также ряд иных градаций, опубликованных в единственном числе. Всего собрано 19 в той или иной степени различных шкал для коэффициента корреляции r (1925–2019). Представлены сведения о величине r для корреляций, которыми следует пренебречь. В зависимости от источника, это r <0,1; r <0,2 или r <0,3. Приведены данные о возможности перенесения градаций с коэффициента r Пирсона на коэффициент корреляции Спирмена и прочие параметры величины эффекта. Рассмотрен вопрос о различии между оценками силы связи в эпидемиологии, медицине и в психосоциальных дисциплинах. В отличие от последних, в эпидемиологии и медицине малая величина коэффициента корреляции не обязательно означает малую величину эффекта. Выводы: Для оценки величины r следует пользоваться наиболее распространенными и официально устоявшимися шкалами, за исключением сильно «ослабленной» шкалы Коэна. Настоящее исследование может быть использовано как справочное руководство по градациям силы эффекта по r для разных описательных дисциплин.

Purpose: To summarize data on graduation of the effect size on the base of Hill’s first causality criterion ‘strength of association’ on the magnitude of the correlation coefficient (mainly Pearson r). Material and methods: Survey of published sources: monographs, handbooks, papers, educational material on statistics in various disciplines (including on-line), etc. (121 references; of which more than 20 textbooks on statistical methods and statistics in psychology and 8 textbooks on epidemiology). Results: Estimation of the strength of association by the correlation size is most common in psycho-sociological disciplines and is almost never used in epidemiology (since the establishment of a fact of statistically significant association/correlation in epidemiology is only the initial stage of evidence, unlike the experimental and named disciplines). A number of known scales for r were obtained: the Chaddok scale (R.E. Chaddock) from 1925, which is now apparently not used abroad, but widely represented in the countries of the former USSR, the Cohen scale (J. Cohen) from 1969–1988, reflecting the ‘soft’ criteria of causality in psychology, D.E. Hinkle with co-authors scale (1979–2003) and the Evans scale (J.D. Evans) from 1996. A number of other graduations, published in the singular, are also given. A total of at least 16 different scales of varying degrees were collected for the correlation coefficient r (1925–2019). The information about the value of r for correlations, which should be neglected was presented. Depending on the source, this is r <0.1; r <0.2 or r <0.3. The data on the possibility of transferring graduations from the Pearson coefficient r to the Spearman correlation coefficient and other parameters of the effect size are given. The question of the difference between estimation of strength of association in epidemiology and medicine and in psycho-sociological disciplines is considered. Unlike the second, in epidemiology and medicine a small value of the correlation coefficient does not necessarily mean a small effect size. Conclusions: To estimate the value of r one should use the most common and officially established scales, with the exception of the strongly ‘soft’ Cohen scale. The present study can be used as a reference guide on the graduations of effect size on r for a wide variety of observation disciplines.

 градации величины эффекта ординальные шкалы коэффициенты корреляции; эпидемиология; психология graduation of effect size correlation coefficient epidemiology psychology

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