课程信息
4.6
1,240 ratings
330 reviews
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....
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100% 在线课程

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Intermediate Level

中级

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建议:Four weeks of study, two-five hours/week depending on your familiarity with mathematical statistics.

完成时间大约为20 小时
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English

字幕:English

您将获得的技能

StatisticsBayesian StatisticsBayesian InferenceR Programming
Globe

100% 在线课程

立即开始,按照自己的计划学习。
Calendar

可灵活调整截止日期

根据您的日程表重置截止日期。
Intermediate Level

中级

Clock

建议:Four weeks of study, two-five hours/week depending on your familiarity with mathematical statistics.

完成时间大约为20 小时
Comment Dots

English

字幕:English

教学大纲 - 您将从这门课程中学到什么

1

章节
Clock
完成时间为 3 小时

Probability and Bayes' Theorem

In this module, we review the basics of probability and Bayes’ theorem. In Lesson 1, we introduce the different paradigms or definitions of probability and discuss why probability provides a coherent framework for dealing with uncertainty. In Lesson 2, we review the rules of conditional probability and introduce Bayes’ theorem. Lesson 3 reviews common probability distributions for discrete and continuous random variables....
Reading
8 个视频(共 38 分钟), 4 个阅读材料, 5 个测验
Video8 个视频
Lesson 1.1 Classical and frequentist probability6分钟
Lesson 1.2 Bayesian probability and coherence3分钟
Lesson 2.1 Conditional probability4分钟
Lesson 2.2 Bayes' theorem6分钟
Lesson 3.1 Bernoulli and binomial distributions5分钟
Lesson 3.2 Uniform distribution5分钟
Lesson 3.3 Exponential and normal distributions2分钟
Reading4 个阅读材料
Module 1 objectives, assignments, and supplementary materials3分钟
Background for Lesson 110分钟
Supplementary material for Lesson 23分钟
Supplementary material for Lesson 320分钟
Quiz5 个练习
Lesson 116分钟
Lesson 212分钟
Lesson 3.120分钟
Lesson 3.2-3.310分钟
Module 1 Honors15分钟

2

章节
Clock
完成时间为 3 小时

Statistical Inference

This module introduces concepts of statistical inference from both frequentist and Bayesian perspectives. Lesson 4 takes the frequentist view, demonstrating maximum likelihood estimation and confidence intervals for binomial data. Lesson 5 introduces the fundamentals of Bayesian inference. Beginning with a binomial likelihood and prior probabilities for simple hypotheses, you will learn how to use Bayes’ theorem to update the prior with data to obtain posterior probabilities. This framework is extended with the continuous version of Bayes theorem to estimate continuous model parameters, and calculate posterior probabilities and credible intervals....
Reading
11 个视频(共 59 分钟), 5 个阅读材料, 4 个测验
Video11 个视频
Lesson 4.2 Likelihood function and maximum likelihood7分钟
Lesson 4.3 Computing the MLE3分钟
Lesson 4.4 Computing the MLE: examples4分钟
Introduction to R6分钟
Plotting the likelihood in R4分钟
Plotting the likelihood in Excel4分钟
Lesson 5.1 Inference example: frequentist4分钟
Lesson 5.2 Inference example: Bayesian6分钟
Lesson 5.3 Continuous version of Bayes' theorem4分钟
Lesson 5.4 Posterior intervals7分钟
Reading5 个阅读材料
Module 2 objectives, assignments, and supplementary materials3分钟
Background for Lesson 410分钟
Supplementary material for Lesson 45分钟
Background for Lesson 510分钟
Supplementary material for Lesson 510分钟
Quiz4 个练习
Lesson 48分钟
Lesson 5.1-5.218分钟
Lesson 5.3-5.416分钟
Module 2 Honors6分钟

3

章节
Clock
完成时间为 2 小时

Priors and Models for Discrete Data

In this module, you will learn methods for selecting prior distributions and building models for discrete data. Lesson 6 introduces prior selection and predictive distributions as a means of evaluating priors. Lesson 7 demonstrates Bayesian analysis of Bernoulli data and introduces the computationally convenient concept of conjugate priors. Lesson 8 builds a conjugate model for Poisson data and discusses strategies for selection of prior hyperparameters....
Reading
9 个视频(共 66 分钟), 2 个阅读材料, 4 个测验
Video9 个视频
Lesson 6.2 Prior predictive: binomial example5分钟
Lesson 6.3 Posterior predictive distribution4分钟
Lesson 7.1 Bernoulli/binomial likelihood with uniform prior3分钟
Lesson 7.2 Conjugate priors4分钟
Lesson 7.3 Posterior mean and effective sample size7分钟
Data analysis example in R12分钟
Data analysis example in Excel16分钟
Lesson 8.1 Poisson data8分钟
Reading2 个阅读材料
Module 3 objectives, assignments, and supplementary materials3分钟
R and Excel code from example analysis10分钟
Quiz4 个练习
Lesson 612分钟
Lesson 715分钟
Lesson 815分钟
Module 3 Honors8分钟

4

章节
Clock
完成时间为 3 小时

Models for Continuous Data

This module covers conjugate and objective Bayesian analysis for continuous data. Lesson 9 presents the conjugate model for exponentially distributed data. Lesson 10 discusses models for normally distributed data, which play a central role in statistics. In Lesson 11, we return to prior selection and discuss ‘objective’ or ‘non-informative’ priors. Lesson 12 presents Bayesian linear regression with non-informative priors, which yield results comparable to those of classical regression. ...
Reading
9 个视频(共 69 分钟), 5 个阅读材料, 5 个测验
Video9 个视频
Lesson 10.1 Normal likelihood with variance known3分钟
Lesson 10.2 Normal likelihood with variance unknown3分钟
Lesson 11.1 Non-informative priors8分钟
Lesson 11.2 Jeffreys prior3分钟
Linear regression in R17分钟
Linear regression in Excel (Analysis ToolPak)13分钟
Linear regression in Excel (StatPlus by AnalystSoft)14分钟
Conclusion1分钟
Reading5 个阅读材料
Module 4 objectives, assignments, and supplementary materials3分钟
Supplementary material for Lesson 1010分钟
Supplementary material for Lesson 115分钟
Background for Lesson 1210分钟
R and Excel code for regression5分钟
Quiz5 个练习
Lesson 912分钟
Lesson 1020分钟
Lesson 1110分钟
Regression15分钟
Module 4 Honors6分钟
4.6
Direction Signs

38%

完成这些课程后已开始新的职业生涯
Briefcase

83%

通过此课程获得实实在在的工作福利

热门审阅

创建者 GSSep 1st 2017

Good intro to Bayesian Statistics. Covers the basic concepts. Workload is reasonable and quizzes/exercises are helpful. Could include more exercises and additional backgroung/future reading materials.

创建者 JHJun 27th 2018

Great course. The content moves at a nice pace and the videos are really good to follow. The Quizzes are also set at a good level. You can't pass this course unless you have understood the material.

讲师

Herbert Lee

Professor
Applied Mathematics and Statistics

关于 University of California, Santa Cruz

UC Santa Cruz is an outstanding public research university with a deep commitment to undergraduate education. It’s a place that connects people and programs in unexpected ways while providing unparalleled opportunities for students to learn through hands-on experience....

常见问题

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

  • You should have exposure to the concepts from a basic statistics class (for example, probability, the Central Limit Theorem, confidence intervals, linear regression) and calculus (integration and differentiation), but it is not expected that you remember how to do all of these items. The course will provide some overview of the statistical concepts, which should be enough to remind you of the necessary details if you've at least seen the concepts previously. On the calculus side, the lectures will include some use of calculus, so it is important that you understand the concept of an integral as finding the area under a curve, or differentiating to find a maximum, but you will not be required to do any integration or differentiation yourself.

  • Data analysis is done using computer software. This course provides the option of Excel or R. Equivalent content is provided for both options. A very brief introduction to R is provided for people who have never used it before, but this is not meant to be a course on R. Learners using Excel are expected to already have basic familiarity of Excel.

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