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Probability, Statistical Inference and Regression Analysis · LearnSpace
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Probability, Statistical Inference and Regression Analysis

Курс от Arizona State University
Средний≈ 14.7 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Welcome to Probability, Statistical Inference and Regression Analysis. This course is an introduction to statistical methods and thinking, focusing on modern applications. Some of the concepts will be familiar to those who have taken an elementary statistics course. However, some of the topics presented here extend those ideas into new and emerging applications. These contemporary applications include graphics and data visualization, big data, and newer analytical methods, such as bootstrapping. Acquiring a strong foundation in Regression Analysis is an objective of this course. There is a companion book available that was written by our instructors and would be an excellent companion guide for learners who'd like to further deepen their knowledge of these topics. Proceed to the first module for further details, and to begin learning about Descriptive Statistics.

Навыки, которые вы освоите

StatisticsAnalyticsProbability & StatisticsLogistic RegressionEstimationExploratory Data Analysis

Программа курса

6 модулей · 91 учебных материалов

01Course Introduction and Descriptive Statistics12 материалов

Introduction and Resources

Specialization IntroductionВидеоCourse Resources and Peer ReviewsЧтение

Meet Your Instructors

Meet Your InstructorsЧтениеCourse IntroductionВидео

Учитесь у экспертов

Douglas C. Montgomery

Regents Professor | ASU Foundation Professor of Engineering

George Runger

Professor of Engineering

Probability, Statistical Inference and Regression Analysis
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Обучение на Coursera

≈ 14.7 ч

6 модулей

Язык: Английский

Часть программы вашего университета
Chapter 1: The Role of Statistics in EngineeringЧтение

Descriptive Statistics

Introduction to Statistics and Sampling Lecture - Video Segment OverviewЧтениеSegment 1: Introduction and Understanding VariabilityВидеоSegment 2: Methods of Data Collection and Inferential StatisticsВидеоSegment 3: Hypothesis Testing and Numerical SummariesВидеоSegment 4: Measures of Central Tendency and VariabilityВидеоChapter 6: Descriptive StatisticsЧтениеPractice Assignment for Descriptive Statistics and Probability DistributionsЗадание
02Probability Distributions14 материалов

Basic Probability - Part I

Basic Probability, Part 1 Lecture - Video Segment OverviewЧтениеSegment 1: Definition of Random Variables ВидеоSegment 2: Describing Data Transmission Error Over a Digital Channel ВидеоSegment 3: Cumulative Distribution Function - Discrete ВидеоSegment 4: Mean and Variance of a Discrete Random Variable ВидеоSegment 5: Common Discrete Probability Distributions ВидеоSegment 6: Binomial Distribution Example Видео

Basic Probability - Part II

Basic Probability, Part 2 Lecture - Video Segment OverviewЧтениеSegment 1: Continuous Probability Distributions and Probability Density Functions ВидеоSegment 2: Cumulative Distribution Functions ВидеоSegment 3: Mean and Variance of a Continuous Random Variable ВидеоSegment 4: Normal (Gaussian) Distribution ВидеоSegment 5: Common Continuous DistributionsВидео
03Inferential Statistics23 материалов

Estimation of Parameters

Estimation of Parameters Lecture - Video Segment OverviewЧтениеSegment 1: Introduction to Estimation of Parameters and Point Estimation ВидеоSegment 2: Central Limit Theorem and Unbiased Estimators ВидеоSegment 3: Variance of a Point Estimator and Standard Error ВидеоSegment 4: Bootstrap Standard Error and Methods of Point EstimationВидео

Confidence Intervals

Confidence Intervals Lecture - Video Segment OverviewЧтениеSegment 1: Introduction and Development of Confidence Intervals ВидеоSegment 2: Choice of Sample Size and One-Sided Confidence Bounds ВидеоSegment 3: Large-Sample Approximate Confidence Interval and Confidence Interval on the Mean, Variance Unknown Видео

Hypothesis Testing

Hypothesis Testing Lecture - Video Segment OverviewЧтениеSegment 1: Introduction to Hypothesis Testing and Decisions in Hypothesis Testing ВидеоSegment 2: Computing the Probability of Type I and Type II Error ВидеоSegment 3: Examples and Practical Applications ВидеоSegment 4: General Procedure for Hypothesis Tests ВидеоSegment 5: Type II Error and Choice of Sample Size and Large Sample Size Видео

Basic Statistical Inference for Two Samples

Statistical Inference for Two Samples Lecture - Video Segment OverviewЧтениеSegment 1: Introduction, Inference, and Hypothesis Tests on the Difference in Means, Variances KnownВидеоSegment 2: Confidence Interval on the Difference in Means, Variances Known ВидеоSegment 3: Hypothesis Tests on the Difference in Means, Variances Unknown, and ExamplesВидеоSegment 4: Confidence Interval on the Difference in Means, Variances Unknown, and Example: Cement Hydration ВидеоChapters 7 - 9 of Applied Statistics and Probability for EngineersЧтение
04Bootstrapping4 материалов

Basic Concept of Bootstrapping

Basic Concept of BootstrappingВидео

Application of Bootstrapping

Application of BootstrappingВидеоSection 8.6 of Chapter 8: Statistical Intervals for a Single SampleЧтениеPractice Quiz for BootstrappingЗадание
05Big Data3 материалов

What Is Big Data?

What Is Big Data?Видео

How Big Data Impacts Statistics

How Big Data Impacts StatisticsВидеоPractice Quiz for Big DataЗадание
06Regression Methods in Modern Statistics35 материалов

Regression Analysis

Regression Analysis Lecture - Video Segment OverviewЧтениеSegment 1: Intro. to Multiple Linear Regression ModelВидеоSegment 2: Method for Least Squares Estimation of ParametersВидеоSegment 3: Wire Bond Strength Example 1ВидеоSegment 4: Matrix Approach to Multiple Linear RegressionВидеоSegment 5: Wire Bond Strength Example 2ВидеоSegment 6: Closing: The Importance and Wide Application of Regression AnalysisВидеоPractice Quiz for Regression AnalysisЗадание

Complications to Standard Regression

Complications to Standard Regression Lecture - Video Segment OverviewЧтениеSegment 1: Review of Standard Regression Assumptions and Common ProblemsВидеоSegment 2: Solving for Unequal Variance: Tactics and ExamplesВидеоSegment 3: Understanding Multicollinearity: Sources and EffectsВидеоSegment 4: Methods for Dealing with MulticollinearityВидеоPractice Quiz for Complications to Standard RegressionЗадание

Generalized (Regularized) Regression Techniques

Generalized Regression Techniques Lecture - Video Segment OverviewЧтениеSegment 1: Rationale for Generalized Ridge Regression, Lasso and Elastic Net TechniquesВидеоSegment 2: Generalized Regression Examples: Analyzing Acetylene Dataset with JMP SoftwareВидеоSegment 3: Using Principal Component Regression to Manage MulticollinearityВидеоPractice Quiz for Generalized Regression TechniquesЗадание

Generalized Linear Models

Generalized Linear Models, Lecture - Video Segment OverviewЧтениеSegment 1: Introduction to Generalized Linear ModelsВидеоSegment 2: Applications of Binary Response VariablesВидеоSegment 3: Using Logistic Regression to Model Binary Response VariablesВидеоSegment 4: How the Generalized Linear Model Works: The Role of Link Functions ВидеоSegment 5: Generalized Linear Model Example: Cycles to Failure - YarnВидео

Nonlinear Regression

Nonlinear Regression Lecture - Video Segment OverviewЧтениеSegment 1: Linear Versus Nonlinear RegressionВидеоSegment 2: Nonlinear Least Squares and Maximum Likelihood Estimation MethodsВидеоSegment 3: Transformation to Linear Model Example (Puromycin Data)ВидеоSegment 4: Linearization MethodВидеоSegment 5: Linearization Example (Puromycin Data)Видео
Chapter 2: ProbabilityЧтение
Segment 6: Summary for One-Sample t-test with Example Видео
Practice Quiz for Basic StatisticsЗадание
Segment 6: Summary of Generalized Linear Model BenefitsВидео
Practice Quiz for Generalized Linear ModelsЗадание
Practice Quiz for Nonlinear Regression Задание
Mini-project for Modern Statistics for Data-Driven Decision-MakingВзаимная проверка