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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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">sechenov</journal-id><journal-title-group><journal-title xml:lang="en">Sechenov Medical Journal</journal-title><trans-title-group xml:lang="ru"><trans-title>Сеченовский вестник</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2218-7332</issn><issn pub-type="epub">2658-3348</issn><publisher><publisher-name>Сеченовский Университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.47093/2218-7332.2023.14.1.4-14</article-id><article-id custom-type="elpub" pub-id-type="custom">sechenov-895</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="en"><subject>BIOMEDICAL STATISTICS TUTORIAL</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>РУКОВОДСТВО ПО БИОМЕДИЦИНСКОЙ СТАТИСТИКЕ</subject></subj-group></article-categories><title-group><article-title>Basic aspects of meta-analysis. Part 1</article-title><trans-title-group xml:lang="ru"><trans-title>Базовые аспекты мета-анализа. Часть 1</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2224-0019</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Суворов</surname><given-names>А. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Suvorov</surname><given-names>A. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Александр Юрьевич Суворов, канд. мед. наук, главный статистик</p><p>Центр анализа сложных систем</p><p>119991</p><p>ул. Трубецкая, д. 8, стр. 2</p><p>Москва</p></bio><bio xml:lang="en"><p>Alexander Yu. Suvorov, Cand. of Sci. (Medicine), Chief Statistician</p><p>Centre for Analysis of Complex Systems</p><p>119991</p><p>8/2, Trubetskaya str.</p><p>Moscow</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8885-6062</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Латушкина</surname><given-names>И. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Latushkina</surname><given-names>I. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ирина Викторовна Латушкина, младший научный сотрудник</p><p>Центр анализа сложных систем</p><p>119991</p><p>ул. Трубецкая, д. 8, стр. 2</p><p>Москва</p><p>Тел.: +7 (916) 126-12-85</p></bio><bio xml:lang="en"><p>Irina V. Latushkina, junior researcher</p><p>Centre for Analysis of Complex Systems</p><p>119991</p><p>8/2, Trubetskaya str.</p><p>Moscow</p><p>Tel.: +7 (916) 126-12-85</p></bio><email xlink:type="simple">latushkina_i_v@staff.sechenov.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3462-0123</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гуляева</surname><given-names>К. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Gulyaeva</surname><given-names>K. А.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ксения Александровна Гуляева, аспирант</p><p>кафедра пропедевтики внутренних болезней, гастроэнтерологии и гепатологии</p><p>119991</p><p>ул. Трубецкая, д. 8, стр. 2</p><p>Москва</p></bio><bio xml:lang="en"><p>Kseniya А. Gulyaeva, postgraduate student</p><p>Department of Propaedeutics of Internal Diseases, Gastroenterology andHepatology</p><p>119991</p><p>8/2, Trubetskaya str.</p><p>Moscow</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3989-2590</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Буланов</surname><given-names>Н. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Bulanov</surname><given-names>N. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Николай Михайлович Буланов, канд. мед. наук, доцент</p><p>кафедра внутренних, профессиональных болезней и ревматологии</p><p>119991</p><p>ул. Трубецкая, д. 8, стр. 2</p><p>Москва</p></bio><bio xml:lang="en"><p>Nikolay M. Bulanov, Cand. of Sci. (Medicine), Associate Professor</p><p>Department of Internal, Occupational Diseases and Rheumatology</p><p>119991</p><p>8/2, Trubetskaya str.</p><p>Moscow</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1210-2528</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Надинская</surname><given-names>М. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Nadinskaia</surname><given-names>M. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Мария Юрьевна Надинская, канд. мед. наук, доцент</p><p>кафедра пропедевтики внутренних болезней, гастроэнтерологии и гепатологии</p><p>119991</p><p>ул. Трубецкая, д. 8, стр. 2</p><p>Москва</p></bio><bio xml:lang="en"><p>Maria Yu. Nadinskaia, Cand. of Sci. (Medicine), Associate Professor</p><p>Department of Propaedeutics of Internal Diseases, Gastroenterology and Hepatology</p><p>119991</p><p>8/2, Trubetskaya str.</p><p>Moscow</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7540-1130</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Заикин</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Zaikin</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Алексей Анатольевич Заикин, канд. физ-мат. наук, заместитель директора</p><p>Центр анализа сложных систем</p><p>119991</p><p>ул. Трубецкая, д. 8, стр. 2</p><p>Москва</p></bio><bio xml:lang="en"><p>Alexey A. Zaikin, Cand. of Sci. (Physics and Mathematics), Deputy Director</p><p>Centre for Analysis of Complex Systems</p><p>119991</p><p>8/2, Trubetskaya str.</p><p>Moscow</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ФГАОУ ВО «Первый Московский государственный медицинский университет им. И. М. Сеченова»&#13;
Минздрава России (Сеченовский Университет)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Sechenov First Moscow State Medical University (Sechenov University)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>30</day><month>03</month><year>2023</year></pub-date><volume>14</volume><issue>1</issue><fpage>4</fpage><lpage>14</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Suvorov A.Y., Latushkina I.V., Gulyaeva K.А., Bulanov N.M., Nadinskaia M.Y., Zaikin A.A., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Суворов А.Ю., Латушкина И.В., Гуляева К.А., Буланов Н.М., Надинская М.Ю., Заикин А.А.</copyright-holder><copyright-holder xml:lang="en">Suvorov A.Y., Latushkina I.V., Gulyaeva K.А., Bulanov N.M., Nadinskaia M.Y., Zaikin A.A.</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.sechenovmedj.com/jour/article/view/895">https://www.sechenovmedj.com/jour/article/view/895</self-uri><abstract><p>   Meta-analysis is one of the concepts of scientific methodology, and is a frequent but optional component of systematic reviews of empirical research. It joins the results of several scientific studies and tests one or more interrelated scientific hypotheses using quantitative (statistical) methods. This analysis can either use primary data from the original studies or published (secondary) results of studies dealing with the same problem. Meta-analysis is used to obtain an estimate of the magnitude of an unknown effect, and compare the results of different studies, identifying patterns or other relationships in them, as well as possible sources of disagreement. Meta-analyses are the highest level of credibility within evidence-based medicine (EBM), so meta-analysis results are considered as the most reliable source of evidence. Understanding all the procedures of a meta-analysis will allow researchers to analyze the results of such studies correctly, as well as formulate tasks when conducting meta-analyses on their own. In this article the reader will be introduced to key concepts such as weighted effects, heterogeneity, the different types of statistical models used, and how to work with some of the types of plots produced in meta-analyses.</p></abstract><trans-abstract xml:lang="ru"><p>   Мета-анализ – одно из понятий научной методологии. Он является частым, но не обязательным компонентом систематического обзора эмпирических исследований. Для проведения мета-анализа объединяются результаты нескольких научных исследований и осуществляется проверка одной или нескольких взаимосвязанных научных гипотез при помощи количественных (статистических) методов. Для такого анализа можно использовать либо первичные данные оригинальных исследований, либо обобщенные опубликованные (вторичные) результаты исследований, посвященные одной проблеме. Мета-анализ используется для получения оценки величины неизвестного эффекта, а также для сравнения результатов различных исследований, выявляет в них закономерности или другие взаимосвязи, а также возможные источники разногласий. Мета-анализы занимают высшую ступень достоверности в концепции доказательной медицины, поэтому их результаты считаются самым надежным источником доказательств. Понимание всех этапов проведения мета-анализа позволит научным сотрудникам грамотно анализировать результаты таких исследований, а также формулировать задачи при самостоятельном проведении мета-анализов. В настоящей статье читатель познакомится с такими ключевыми понятиями мета-анализа, как взвешенные эффекты, гетерогенность, различные типы используемых статистических моделей, а также научится работать с некоторыми видами графиков, получаемых в мета-анализах.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>размер эффекта</kwd><kwd>модель с фиксированными эффектами</kwd><kwd>модель со случайными эффектами</kwd><kwd>гетерогенность</kwd><kwd>анализ чувствительности</kwd><kwd>рандомизированное контролируемое исследование</kwd><kwd>когортное исследование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>effect size</kwd><kwd>fixed effects model</kwd><kwd>random effects model</kwd><kwd>heterogeneity</kwd><kwd>sensitivity analysis</kwd><kwd>randomized controlled trial</kwd><kwd>cohort study</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Статья подготовлена при поддержке программы стратегического академического лидерства «Приоритет-2030» ФГАОУ ВО «Первый Московский государственный медицинский университет им. И. М. Сеченова» Минздрава России (Сеченовский Университет)</funding-statement><funding-statement xml:lang="en">This article was supported by the Academic leadership program Priority 2030 proposed by Sechenov First Moscow State Medical University (Sechenov University)</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Sackett D. L., Rosenberg W. M., Gray J. A., et al. Evidence based medicine: what it is and what it isn’t. BMJ. 1996 Jan 13; 312 (7023): 71–72. doi: 10.1136/bmj.312.7023.71. PMID: 8555924</mixed-citation><mixed-citation xml:lang="en">Sackett D. L., Rosenberg W. M., Gray J. A., et al. Evidence based medicine: what it is and what it isn’t. BMJ. 1996 Jan 13; 312 (7023): 71–72. doi: 10.1136/bmj.312.7023.71. PMID: 8555924</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Page M. J., McKenzie J. E., Bossuyt P. M., et al. The PRISMA 2020 statement: an updated guideline for reporting systematic reviews BMJ 2021; 372: n71. doi: 10.1136/bmj.n71</mixed-citation><mixed-citation xml:lang="en">Page M. J., McKenzie J. E., Bossuyt P. M., et al. The PRISMA 2020 statement: an updated guideline for reporting systematic reviews BMJ 2021; 372: n71. doi: 10.1136/bmj.n71</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Sterne J. A. C., Savović J., Page M. J., et al. RoB 2: a revised tool for assessing risk of bias in randomised trials. BMJ. 2019 Aug 28; 366: l4898. doi: 10.1136/bmj.l4898. PMID: 31462531</mixed-citation><mixed-citation xml:lang="en">Sterne J. A. C., Savović J., Page M. J., et al. RoB 2: a revised tool for assessing risk of bias in randomised trials. BMJ. 2019 Aug 28; 366: l4898. doi: 10.1136/bmj.l4898. PMID: 31462531</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Sterne J. A., Hernán M. A., Reeves B. C., et al. ROBINS-I: a tool for assessing risk of bias in non-randomised studies of interventions. BMJ. 2016 Oct 12; 355: i4919. doi: 10.1136/bmj.i4919. PMID: 27733354</mixed-citation><mixed-citation xml:lang="en">Sterne J. A., Hernán M. A., Reeves B. C., et al. ROBINS-I: a tool for assessing risk of bias in non-randomised studies of interventions. BMJ. 2016 Oct 12; 355: i4919. doi: 10.1136/bmj.i4919. PMID: 27733354</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">McGuinness L. A., Higgins J. P. T. Risk-of-bias VISualization (robvis): An R package and Shiny web app for visualizing risk-of-bias assessments. Res Synth Methods. 2021 Jan; 12 (1): 55–61. doi: 10.1002/jrsm.1411. Epub 2020 May 6. PMID: 32336025</mixed-citation><mixed-citation xml:lang="en">McGuinness L. A., Higgins J. P. T. Risk-of-bias VISualization (robvis): An R package and Shiny web app for visualizing risk-of-bias assessments. Res Synth Methods. 2021 Jan; 12 (1): 55–61. doi: 10.1002/jrsm.1411. Epub 2020 May 6. PMID: 32336025</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Suvorov A. Yu., Bulanov N. М., Shvedova A. N., et al. Statistical hypothesis testing: general approach in medical research. Sechenov Medical Journal. 2022; 13 (1): 4–13. doi: 10.47093/2218-7332.2022.426.08</mixed-citation><mixed-citation xml:lang="en">Suvorov A. Yu., Bulanov N. М., Shvedova A. N., et al. Statistical hypothesis testing: general approach in medical research. Sechenov Medical Journal. 2022; 13 (1): 4–13. doi: 10.47093/2218-7332.2022.426.08</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Viechtbauer W. Bias and efficiency of meta-analytic variance estimators in the random-effects model. Journal of Educational and Behavioral Statistics, 2005; 30 (3): 261–293. doi: 10.3102/10769986030003261</mixed-citation><mixed-citation xml:lang="en">Viechtbauer W. Bias and efficiency of meta-analytic variance estimators in the random-effects model. Journal of Educational and Behavioral Statistics, 2005; 30 (3): 261–293. doi: 10.3102/10769986030003261</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Veroniki A. A, Jackson D., Viechtbauer W., et al. Methods to estimate the between-study variance and its uncertainty in meta-analysis. Res Synth Methods. 2016 Mar; 7 (1): 55–79. doi: 10.1002/jrsm.1164. Epub 2015 Sep 2. PMID: 26332144</mixed-citation><mixed-citation xml:lang="en">Veroniki A. A, Jackson D., Viechtbauer W., et al. Methods to estimate the between-study variance and its uncertainty in meta-analysis. Res Synth Methods. 2016 Mar; 7 (1): 55–79. doi: 10.1002/jrsm.1164. Epub 2015 Sep 2. PMID: 26332144</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Langan D., Higgins J. P. T., Jackson D., et al. A comparison of heterogeneity variance estimators in simulated random-effects meta-analyses. Res Synth Methods. 2019 Mar; 10 (1): 83–98. doi: 10.1002/jrsm.1316. Epub 2018 Sep 6. PMID: 30067315</mixed-citation><mixed-citation xml:lang="en">Langan D., Higgins J. P. T., Jackson D., et al. A comparison of heterogeneity variance estimators in simulated random-effects meta-analyses. Res Synth Methods. 2019 Mar; 10 (1): 83–98. doi: 10.1002/jrsm.1316. Epub 2018 Sep 6. PMID: 30067315</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Rücker G., Schwarzer G., Carpenter J. R., Schumacher M. Undue reliance on I(2) in assessing heterogeneity may mislead. BMC Med Res Methodol. 2008 Nov 27; 8: 79. doi: 10.1186/1471-2288-8-79. PMID: 19036172</mixed-citation><mixed-citation xml:lang="en">Rücker G., Schwarzer G., Carpenter J. R., Schumacher M. Undue reliance on I(2) in assessing heterogeneity may mislead. BMC Med Res Methodol. 2008 Nov 27; 8: 79. doi: 10.1186/1471-2288-8-79. PMID: 19036172</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Higgins J. P., Thompson S. G. Quantifying heterogeneity in a meta-analysis. Stat Med. 2002 Jun 15; 21 (11): 1539–1558. doi: 10.1002/sim.1186. PMID: 12111919</mixed-citation><mixed-citation xml:lang="en">Higgins J. P., Thompson S. G. Quantifying heterogeneity in a meta-analysis. Stat Med. 2002 Jun 15; 21 (11): 1539–1558. doi: 10.1002/sim.1186. PMID: 12111919</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Balduzzi S., Rücker G., Schwarzer G. How to perform a meta-analysis with R: a practical tutorial. Evid Based Ment Health. 2019 Nov; 22 (4): 153–160. doi: 10.1136/ebmental-2019-300117. Epub 2019 Sep 28. PMID: 31563865</mixed-citation><mixed-citation xml:lang="en">Balduzzi S., Rücker G., Schwarzer G. How to perform a meta-analysis with R: a practical tutorial. Evid Based Ment Health. 2019 Nov; 22 (4): 153–160. doi: 10.1136/ebmental-2019-300117. Epub 2019 Sep 28. PMID: 31563865</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
