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Statistical Inference and Hypothesis Testing in Data Science Applications · LearnSpace
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Statistical Inference and Hypothesis Testing in Data Science Applications

Курс от University of Colorado Boulder
Средний≈ 36.7 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

This course will focus on theory and implementation of hypothesis testing, especially as it relates to applications in data science. Students will learn to use hypothesis tests to make informed decisions from data. Special attention will be given to the general logic of hypothesis testing, error and error rates, power, simulation, and the correct computation and interpretation of p-values. Attention will also be given to the misuse of testing concepts, especially p-values, and the ethical implications of such misuse. This course can be taken for academic credit as part of CU Boulder’s Master of Science in Data Science (MS-DS) degree offered on the Coursera platform. The MS-DS is an interdisciplinary degree that brings together faculty from CU Boulder’s departments of Applied Mathematics, Computer Science, Information Science, and others. With performance-based admissions and no application process, the MS-DS is ideal for individuals with a broad range of undergraduate education and/or professional experience in computer science, information science, mathematics, and statistics. Learn more about the MS-DS program at https://www.coursera.org/degrees/master-of-science-data-science-boulder.

Навыки, которые вы освоите

Statistical Hypothesis TestingStatistical InferenceStatistical MethodsProbability DistributionSampling (Statistics)StatisticsData EthicsSample Size DeterminationStatistical AnalysisProbability & Statistics

Программа курса

6 модулей · 88 учебных материалов

01Start Here! 6 материалов

Welcome to Hypothesis Testing

Course Updates and Accessibility SupportЧтениеEarn Academic Credit for your Work!ЧтениеCourse SupportЧтениеCourse ResourcesЧтение

Учитесь у экспертов

Jem Corcoran

Associate Professor

Statistical Inference and Hypothesis Testing in Data Science Applications
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Обучение на Coursera

≈ 36.7 ч

6 модулей

Язык: Английский

Субтитры: Арабский, Французский, Бенгальский, Узбекский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Нидерландский, Корейский, Немецкий, Пушту, Урду, Русский, Тайский, Индонезийский, Шведский, Турецкий, Азербайджанский, Испанский, Дари, Хинди, Японский, Казахский, Малайский, Венгерский, Польский

Часть программы вашего университета
Introduction to Jupyter Notebooks and RЛабораторная
Introduce YourselfОбсуждение
02Fundamental Concepts of Hypothesis Testing21 материалов

Let's Get Started!

What is Hypothesis Testing?ВидеоWhat is Hypothesis Testing?ЧтениеAn Introduction to R and Jupyter NotebooksЛабораторная

Types of Hypotheses

Types of HypothesesВидеоTypes of HypothesesЧтениеVideo Slides for Types of HypothesesЧтение

Computations Involving the Normal Distribution

Normal ComputationsВидеоNormal ComputationsЧтениеVideo Slides for Normal ComputationsЧтение

Errors in Hypothesis Testing

Errors in Hypothesis TestingВидеоErrors in Hypothesis TestingЧтениеVideo Slides for Errors in Hypothesis TestingЧтениеVisualizing Errors in Hypothesis TestingЛабораторная

Test Statistics and Significance

Test Statistics and SignificanceВидеоTest Statistics and SignificanceЧтениеVideo Slides for Test Statistics and Level of SignificanceЧтение

A First Test

A First TestВидеоA First TestЧтениеVideo Slides for A First TestЧтениеIntroduction to Hypothesis TestingЗадание

Programming Assignments

Intro to Hypothesis Testing LabПрограммирование
03Composite Tests, Power Functions, and P-Values17 материалов

Lesson 1: Composite Hypotheses and Level of Significance

Composite Hypotheses and Level of SignificanceВидеоVideo Slides for Composite Hypotheses and Level of SignificanceЧтение

Lesson 2: One-Tailed Tests for the Mean of a Normal Distribution

One-Tailed TestsВидеоVideo Slides for One-Tailed TestsЧтение

Lesson 3: Power Functions

Power FunctionsВидеоVideo Slides for Power FunctionsЧтение

Lesson 4: P-Values and QQ-Plots

Hypothesis Testing with P-ValuesВидеоVideo Slides for Hypothesis Testing with P-ValuesЧтениеDistributions of P-ValuesЛабораторная

Lesson 5: Two-Tailed Tests for the Mean of a Normal Distribution

Two Tailed TestsВидеоVideo Slides for Two-Tailed TestsЧтение

Lesson 6: A Quick Review of the Central Limit Theorem

CLT: A Brief ReviewВидеоVideo Slides for CLT: A Brief ReviewЧтение

Lesson 7: Confidence Intervals for Proportions

Hypothesis Tests for ProportionsВидеоVideo Slides for Hypothesis Tests for ProportionsЧтениеConstructing TestsЗадание

Module Assignments

The Basics of Hypothesis TestingПрограммирование
04t-Tests and Two-Sample Tests17 материалов

Lesson 1: The t and Chi-Squared Distributions

The t and Chi-Squared DistributionsВидеоVideo Slides for the t and Chi-Squared DistributionsЧтение

Lesson 2: The Sample Variance for the Normal Distribution

The Sample Variance for the Normal DistributionВидеоVideo Slides for the Sample Variance and the Normal DistributionЧтение

Lesson 3: The t-Test

t-TestsВидеоVideo Slides for t-TestsЧтение

Lesson 4: Two-sample Tests Involving Means of Normal Distributions

Two Sample Tests for MeansВидеоVideo Slides for Two Sample Tests for MeansЧтение

Lesson 5: Two-Sample t-Tests for a Difference in Two Population Means

Two Sample t-Tests for a Difference of MeansВидеоVideo Slides for Differences in Population MeansЧтениеt-Tests and Two Sample TestsЛабораторная

Lesson 6: Welch's Test and Paired Data

Welch's t-Test and Paired DataВидеоVideo Slides for Welch's Test and Paired DataЧтениеMore Hypothesis Tests!Задание

Lesson 7: Comparing Two Population Proportions

Comparing Population ProportionsВидеоVideo Slides for Comparing Population ProportionsЧтение

Module Assignments

t-TestsПрограммирование
05Beyond Normality14 материалов

Lesson 1: Properties of the Exponential Distribution

Properties of the Exponential DistributionВидеоVideo Slides for Properties of the Exponential DistributionЧтение

Lesson 2: Two Hypothesis Tests for the Rate of an Exponential Distribution

Two TestsВидеоVideo Slides for Two Hypothesis Tests for the ExponentialЧтение

Lesson 3: "Best" Tests

Best TestsВидеоVideo Slides for Best TestsЧтениеBest Tests and Some General SkillsЗадание

Lesson 4: Uniformly Most Powerful Tests

UMP TestsВидеоVideo Slides for UMP TestsЧтение

Lesson 5: Normal Distribution Population Variance

A Test for the Variance of the Normal DistributionВидеоVideo Slides for a Normal Variance TestЧтение

Lesson 6: The F-Distribution and a Ratio of Variances

The F-Distribution and a Ratio of VariancesВидеоVideo Slides for an F-Distribution and a Ratio of VariancesЧтениеUniformly Most Powerful Tests and F-TestsЗадание
06Likelihood Ratio Tests and Chi-Squared Tests13 материалов

Lesson 1: A Review of Maximum Likelihood Estimation

MLEsВидеоVideo Slides for MLEsЧтение

Lesson 2: The Generalized Likelihood Ratio Test

The GRLTВидеоVideo Slides for the GLRTЧтение

Lesson 3: Wilks' Theorem for Large Sample GLRTs

Wilks' TheoremВидеоVideo Slides for Wilks' TheoremЧтениеExploring Wilks' TheoremЛабораторнаяAdventures in GLRTsЗадание

Lesson 4: Chi-Squared Goodness of Fit Tests

Chi-Squared Goodness of Fit TestВидеоVideo Slides for Chi-Squared Goodness of Fit TestЧтение

Lesson 5: Chi-Squared Test for Independence

Independence and HomogeneityВидеоVideo Slides for Independence and HomogeneityЧтение

Module Assignments

Chi-Squared Tests and MoПрограммирование