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Bayesian Statistics: From Concept to Data Analysis · LearnSpace
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Bayesian Statistics: From Concept to Data Analysis

Курс от University of California, Santa Cruz
Средний≈ 11.9 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

This course introduces the Bayesian approach to statistics, starting with the concept of probability and moving to the analysis of data. We will learn about the philosophy of the Bayesian approach as well as how to implement it for common types of data. We will compare the Bayesian approach to the more commonly-taught Frequentist approach, and see some of the benefits of the Bayesian approach. In particular, the Bayesian approach allows for better accounting of uncertainty, results that have more intuitive and interpretable meaning, and more explicit statements of assumptions. This course combines lecture videos, computer demonstrations, readings, exercises, and discussion boards to create an active learning experience. For computing, you have the choice of using Microsoft Excel or the open-source, freely available statistical package R, with equivalent content for both options. The lectures provide some of the basic mathematical development as well as explanations of philosophy and interpretation. Completion of this course will give you an understanding of the concepts of the Bayesian approach, understanding the key differences between Bayesian and Frequentist approaches, and the ability to do basic data analyses.

Навыки, которые вы освоите

Bayesian StatisticsProbability DistributionProbabilityStatistical InferenceRegression AnalysisStatistical SoftwareData AnalysisStatistical VisualizationAnalytical SkillsStatistical ProgrammingProbability & StatisticsStatistical ModelingR ProgrammingR (Software)Predictive ModelingStatisticsData VisualizationStatistical AnalysisStatistical MethodsData Modeling

Программа курса

4 модулей · 75 учебных материалов

01Probability and Bayes' Theorem18 материалов

Module overview

🎥 Course introductionВидео📖 Module 1 objectives, assignments, and supplementary materialsЧтение

Probability

📖 Background for Lesson 1Чтение🎥 Lesson 1.1 Classical and frequentist probabilityВидео

Учитесь у экспертов

Herbert Lee

Professor

Bayesian Statistics: From Concept to Data Analysis
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Обучение на Coursera

≈ 11.9 ч

4 модулей

Язык: Английский

Субтитры: Арабский, Французский, Узбекский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Вьетнамский, Нидерландский, Корейский, Немецкий, Русский, Тайский, Индонезийский, Шведский, Турецкий, Испанский, Хинди, Японский, Казахский, Польский

Часть программы вашего университета
🎥 Lesson 1.2 Bayesian probability and coherenceВидео
✍️ Lesson 1: Demonstrate your knowledgeЗадание
🤖 ObjectivityDIALOGUE

Bayes' theorem

🎥 Lesson 2.1 Conditional probabilityВидео🎥 Lesson 2.2 Bayes' theoremВидео📖 Supplementary material for Lesson 2Чтение✍️ Lesson 2: Demonstrate your knowledgeЗадание

Review of distributions

🎥 Lesson 3.1 Bernoulli and binomial distributionsВидео✍️ Lesson 3.1: Demonstrate your knowledgeЗадание🎥 Lesson 3.2 Uniform distributionВидео🎥 Lesson 3.3 Exponential and normal distributionsВидео✍️ Lesson 3.2-3.3: Demonstrate your knowledgeЗадание📖 Supplementary material for Lesson 3Чтение

Probability and Bayes' theorem

✍️ Module 1 Honors Задание
02Statistical Inference21 материалов

Module overview

📖 Module 2 objectives, assignments, and supplementary materialsЧтение

Frequentist inference

📖 Background for Lesson 4Чтение🎥 Lesson 4.1 Confidence intervalsВидео🎥 Lesson 4.2 Likelihood function and maximum likelihoodВидео🎥 Lesson 4.3 Computing the MLEВидео🎥 Lesson 4.4 Computing the MLE: examplesВидео✍️ Lesson 4: Demonstrate your knowledgeЗадание📖 Supplementary material for Lesson 4Чтение🎥 Introduction to RВидео🎥 Plotting the likelihood in RВидео🎥 Plotting the likelihood in ExcelВидео

Bayesian inference

📖 Background for Lesson 5Чтение🎥 Lesson 5.1 Inference example: frequentistВидео🎥 Lesson 5.2 Inference example: BayesianВидео✍️ Lesson 5.1-5.2: Demonstrate your knowledgeЗадание🎥 Lesson 5.3 Continuous version of Bayes' theoremВидео🎥 Lesson 5.4 Posterior intervalsВидео

Statistical inference

✍️ Module 2 Honors Задание
03Priors and Models for Discrete Data16 материалов

Module overview

📖 Module 3 objectives, assignments, and supplementary materialsЧтение

Priors

🎥 Lesson 6.1 Priors and prior predictive distributionsВидео🎥 Lesson 6.2 Prior predictive: binomial exampleВидео🎥 Lesson 6.3 Posterior predictive distributionВидео✍️ Lesson 6: Demonstrate your knowledgeЗадание

Bernoulli/binomial data

🎥 Lesson 7.1 Bernoulli/binomial likelihood with uniform priorВидео🎥 Lesson 7.2 Conjugate priorsВидео🎥 Lesson 7.3 Posterior mean and effective sample sizeВидео🎥 Data analysis example in RВидео🎥 Data analysis example in ExcelВидео✍️ Lesson 7: Demonstrate your knowledgeЗадание🤖 Prior elicitationDIALOGUE📖 R and Excel code from example analysisЧтение

Poisson data

🎥 Lesson 8.1 Poisson dataВидео✍️ Lesson 8: Demonstrate your knowledgeЗадание

Priors and models for discrete data

✍️ Module 3 Honors Задание
04Models for Continuous Data20 материалов

Module overview

📖 Module 4 objectives, assignments, and supplementary materialsЧтение

Exponential data

🎥 Lesson 9.1 Exponential dataВидео✍️ Lesson 9: Demonstrate your knowledgeЗадание

Normal data

🎥 Lesson 10.1 Normal likelihood with variance knownВидео🎥 Lesson 10.2 Normal likelihood with variance unknownВидео✍️ Lesson 10: Demonstrate your knowledgeЗадание📖 Supplementary material for Lesson 10Чтение

Alternative priors

🎥 Lesson 11.1 Non-informative priorsВидео🎥 Lesson 11.2 Jeffreys priorВидео✍️ Lesson 11: Demonstrate your knowledgeЗадание🤖 A non-informative priorDIALOGUE📖 Supplementary material for Lesson 11Чтение

Linear regression

📖 Background for Lesson 12Чтение🎥 Linear regression in R (Datasets included in Downloads)Видео🎥 Linear regression in Excel (Analysis ToolPak)Видео🎥 Linear regression in Excel (StatPlus by AnalystSoft)Видео📖 R and Excel code for regressionЧтение✍️ Regression: Demonstrate your knowledgeЗадание

Course conclusion

🎥 ConclusionВидео

Models for continuous data

✍️ Module 4 Honors Задание
✍️ Lesson 5.3-5.4: Demonstrate your knowledgeЗадание
🤖 Confidence intervals and credible intervalsDIALOGUE
📖 Supplementary material for Lesson 5Чтение