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{"componentChunkName":"component---src-components-templates-course-template-js","path":"/en/pages/stat-methods","result":{"data":{"course":{"html":"<h2>Announcements</h2>\n<p><a href=\"/files/stat-methods-2017.pdf\">2018 announcement</a></p>\n<p><a href=\"/files/npm-2018.pdf\">2017 announcement</a></p>\n<h2>Course purpose</h2>\n<p>Probability theory and mathematical statistics are an integral part of modern experimental physics. Calculation of errors, correct presentation of the result, risk assessment - all these are important components of the work of the physicist who decided to conduct an experiment and publish its results. At the same time, as practice shows, many scientists (and not just students) complain about the lack of practical skills in this area. This is due to the fact that the teaching of the theoretical aspect of probability theory is often well placed in technical universities, but the purely practical aspect is completely overlooked.</p>\n<p>In our course, we will try to analyze in detail the issues of the practical application of the methods of statistical physics in planning and processing the results of a physical experiment (using specific examples). Theoretical calculations will be mainly excluded from lectures and left for independent study.</p>\n<h2>Course format</h2>\n<p>The course is planned in the optional format once a week, while lectures will be held every second week, and practical classes (seminars) will be held between the lectures, discussing examples and solving problems from modern experimental physics and everyday life (including laboratory work) .</p>\n<p>Announcements of important events, as well as a discussion of any issues related to the course, are available in the Google group <a href=\"https://groups.google.com/d/forum/mipt-statmethods\">mipt-statmethods</a>. We recommend you use your Google Account to sign up for a group, as it provides more opportunities to communicate and work with documents. All group members have access to the course materials at the <a href=\"https://drive.google.com/folderview?id=0B9tlm5xMb9Sdbkx2TXY4QXpfX1k&usp=sharing\">address</a>.</p>\n<h2>Course structure (preliminary program)</h2>\n<ol>\n<li>\n<p><strong>Statistical decision-making theory.</strong></p>\n<ol>\n<li>Decisions in deterministic tasks.</li>\n<li>Decisions in non-deterministic tasks, risk function.</li>\n<li>Conditional probability, decision making strategies.</li>\n</ol>\n</li>\n<li>\n<p><strong>Basic concepts of probability theory.</strong></p>\n<ol>\n<li>Definitions of probability.</li>\n<li>Function of plausibility.</li>\n<li>Point and interval estimates of distribution parameters.</li>\n<li>Confidence intervals.</li>\n</ol>\n</li>\n<li>\n<p><strong>Errors in physical experiment.</strong></p>\n<ol>\n<li>Statistical and systematic errors.</li>\n<li>Properties of distributions at replacement of variables.</li>\n<li>Uncorrector stacking.</li>\n<li>Adding results of various experiments.</li>\n</ol>\n</li>\n<li>\n<p><strong>Properties of distributions.</strong></p>\n<ol>\n<li>Poisson's binomial distribution and distribution.</li>\n<li>Normal distribution and its properties.</li>\n<li>Average values, moments of distributions.</li>\n</ol>\n</li>\n<li>\n<p><strong>Checking statistical hypotheses.</strong></p>\n<ol>\n<li>Functions of random variables.</li>\n<li>Statistical criteria and their properties.</li>\n<li>Methods of criteria construction.</li>\n<li>Criteria of data agreement with the theory.</li>\n</ol>\n</li>\n<li>\n<p><strong>Evaluation of parameters.</strong></p>\n<ol>\n<li>Parameter criteria.</li>\n<li>Maximum probability and chi-square method.</li>\n<li>Using the probability function to construct the Chi-square maximum and Chi-square maximum. Interval estimates.</li>\n<li>Interval estimates in the case of normal distribution.</li>\n</ol>\n</li>\n<li>\n<p><strong>Modern data analysis methods (optional).</strong></p>\n<ol>\n<li>Fitting of experimental curves. Criteria of phytate quality. Computer methods for solving optimization problems.</li>\n<li>Multiparameter analysis. Analysis of correlations.</li>\n<li>Fisher Information and its Application. Maximum information and its application.\nthe border between Rao and Kramer.</li>\n<li>Two approaches to probability: frequency approach and subjective probability. The problem of unique events.</li>\n<li>Using a computer to analyze experimental data.</li>\n</ol>\n</li>\n</ol>\n<h2>Reporting</h2>\n<p>The test takes place in the form of a presentation based on the materials of an individual project. Each student has the opportunity to prepare a report analyzing the results of a particular real or thought experiment (you can take laboratory work).</p>\n<h2>Recommended literature</h2>\n<ul>\n<li>The main textbook for the course - W. Idieu, D. Dryard, F. James, M. Ruth, B. Sadule.\n<em>Statistical methods in experimental physics</em> M.: Atomizdat, 1976. The Russian-language edition of the book is a bibliographical rarity, but the English version is republished every few years. In addition, an electronic version of the Russian-language edition is available (including the course materials on Google-drive).</li>\n<li>A lot of useful information is contained in the introductory chapters to the MIPT laboratory workshop for the 1st and 3rd courses.</li>\n<li>In concentrated form, information on probability theory and mathematical statistics can be found in the online version of the Particle Data Group (PDG) handbook of particle physics: <a href=\"http://pdg.lbl.gov/2014/reviews/rpp2014-rev-probability.pdf\">http://pdg.lbl.gov/2014/reviews/rpp2014-rev-probability.pdf</a>; <a href=\"http://pdg.lbl.gov/2014/reviews/rpp2014-rev-statistics.pdf\">http://pdg.lbl.gov/2014/reviews/rpp2014-rev-statistics.pdf</a>.</li>\n</ul>","frontmatter":{"title":"Statistical methods in experimental physics","shortTitle":"Statistical methods","path":"/pages/stat-methods","parent":"education","slug":"/en/pages/stat-methods"}}},"pageContext":{"isCreatedByStatefulCreatePages":false,"intl":{"language":"en","languages":["ru","en"],"messages":{"title":"NPM GROUP","language":"en","description":"Nuclear physics methods laboratory","header.news":"News","header.group":"Group","header.projects":"Projects","header.partners":"Partners","notfound.header":"NOT FOUND","notfound.description":"You just hit a route that doesn't exist.","jumbotron.labintro":"Nuclear physics methods laboratory","jumbotron.lead":"Features of our approach to solving scientific problems of today: ","jumbotron.list":"<ul><li>The laboratory was established on the basis of MIPT, which allows involving a large number of interested students.</li><li>By combining scientific work with educational process, we ensure continuity of scientific experience.</li><li>The structure of our laboratory allows even junior students to take part in world-class experiments.</li><li>We use the most modern methods in our work on physical experiments.</li></ul><p />","jumbotron.about":"About our laboratory","more.nuclear_title":"Nuclear physics","more.nuclear_body":"The laboratory participates in several international particle physics experiments, such as the GERDA neutrine-free double beta decay experiment, the Troitsk nu-mass neutrino mass search experiment and so on.","more.nuclear_more":"More »","more.education_title":"Education","more.education_body":"The tasks of the laboratory include the development of new educational programs in physics and methods of physical experiment, as well as improving the existing methodological and information base in MIPT and in academic institutes.","more.education_more":"More »","more.software_title":"Computational methods","more.software_body":"One of the main activities is the development of computational methods and open source software for use in education and scientific activities.","more.software_more":"More »","more.news":"Latest news","about.title":"Nuclear physics methods group","about.descr":"The group was created in 2015 on the basis of the Department of General Physics, MIPT, several laboratories of the INR RAS and with the support of the Laboratory of High Energy Physics, MIPT. The purpose of the creation is the development of methods for conducting and analyzing data from experiments in the field of particle physics and nuclear physics. In addition, members of the group are engaged in the implementation of modern information technologies in experimental physics and education.","about.pubs.title":"Publications","about.pubs.available1":"Group`s publications are available at ","about.pubs.available2":"this page","about.contacts.title":"Contact information","about.contacts.mail":"Email: ","about.contacts.telegram":"Telegram: ","partners.mipt.title_fund":"MIPT department of general physics","partners.mipt.description_fund":"The Department of General Physics is the main point of contact for scientists and teachers on the one hand and students on the other. Close cooperation with the department is the key to a constant influx of young employees, as well as continuous self-improvement of group members working with students.","partners.mipt.title_energy":"MIPT laboratory of high-energy physics","partners.mipt.description_energy":"Close cooperation with the laboratory of high-energy physics allows for direct contact between education and the scientific community, without going beyond the bounds of MIPT.","partners.jb.description":"Laboratory actively cooperates with JetBrains in introducing Kotlin into scientific programming, teaching Kotlin and developing libraries on it.","partners.jbr.description":"The software development group is a part of an international scientific association JetBrains Research.","partners.ras.title_exp":"Department of experimental physics, INR RAS","partners.ras.description_exp":"Very close cooperation is being maintained with the OEF of the INR RAS in the framework of the Troitsk nu-mass and KATRIN collaborations, as well as in terms of training qualified personnel for work on the NICA experiment and in other accelerator experiments. Within the framework of cooperation, both scientific and educational tasks are implemented.","partners.ras.title_beam":"Beam Laboratory, INR RAS","partners.ras.description_beam":"The Laboratory of a Linear Accelerator Beam Laboratory of the INR RAS is responsible for wiring and diagnostics of the accelerator beam, and is also developing the beam diagnostic systems used around the world. The group runs several joint educational projects with this laboratory.","partners.ras.title_education":"Scientific and educational center, INR RAS","partners.ras.description_education":"Some of the students participating in the group study at the Scientific and Educational Center of the INR RAS.","partners.ras.title_iki":"SRI RAS","partners.ras.description_iki":"The group is involved in the mathematical modeling of electrical discharges in the atmosphere.","physics.bc_title":"Physics","physics.title":"Nuclear physics","physics.description":"Traditionally, nuclear physics includes not only research related to the structure of the atomic nucleus and nuclear reactions, but also the entire physics of elementary particles, as well as partly some sections of astrophysics and cosmology. Currently, the efforts of our group are concentrated in the field of so-called non-accelerator experiments in elementary particle physics.","education.bc_title":"Education","education.title":"Education","education.description":"Educational projects in the field of nuclear physics and methods for conducting and analyzing the results of a physical experiment are one of the key activities of the group.","education.course1":"Details available at ","education.course2":"the course page","math.bc_title":"Maths","math.title":"Mathematical methods","math.description":"Mathematical modeling of physical processes and mathematical methods of data analysis are an integral part of modern experimental physics. There is a constant need for both improving existing methods and developing fundamentally new approaches.","software.bc_title":"Software","software.title":"Scientific software","software.description":"Modern experiments in particle physics are inconceivable without special software, which is required both at the stage of the experiment and data collection, and in processing the results. The development of scientific software is an additional, but significant area of work for the group.","quarks":"Physics"},"routed":true,"originalPath":"/pages/stat-methods","redirect":true}}}} |