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University of Colorado Boulder - Statistical Inference and Hypothesis Testing in Data Science Applications 

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Statistical Inference and Hypothesis Testing in Data Science Applications
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Overview

Duration

29 hours

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Total fee

Free

Mode of learning

Online

Difficulty level

Intermediate

Official Website

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Credential

Certificate

Statistical Inference and Hypothesis Testing in Data Science Applications
 at 
Coursera 
Highlights

  • Flexible deadlines Reset deadlines in accordance to your schedule.
  • Shareable Certificate Earn a Certificate upon completion
  • 100% online Start instantly and learn at your own schedule. Intermediate Level Sequence in calculus up through Calculus II (preferably multivariate calculus) and some programming experience in R
  • Approx. 29 hours to complete
  • English Subtitles: English
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Statistical Inference and Hypothesis Testing in Data Science Applications
 at 
Coursera 
Course details

More about this course
  • 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 Boulders 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 Boulders 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 .
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Statistical Inference and Hypothesis Testing in Data Science Applications
 at 
Coursera 
Curriculum

Fundamental Concepts of Hypothesis Testing

What is Hypothesis Testing?

Types of Hypotheses

Normal Computations

Errors in Hypothesis Testing

Test Statistics and Significance

A First Test

Introduction to Hypothesis Testing

Composite Tests, Power Functions, and P-Values

Composite Hypotheses and Level of Significance

One-Tailed Tests

Power Functions

Hypothesis Testing with P-Values

Two Tailed Tests

CLT: A Brief Review

Hypothesis Tests for Proportions

Constructing Tests

t-Tests and Two-Sample Tests

The t and Chi-Squared Distributions

The Sample Variance for the Normal Distribution

t-Tests

Two Sample Tests for Means

Two Sample t-Tests for a Difference of Means

Welch's t-Test and Paired Data

Comparing Population Proportions

More Hypothesis Tests!

Beyond Normality

Properties of the Exponential Distribution

Two Tests

Best Tests

UMP Tests

A Test for the Variance of the Normal Distribution

The F-Distribution and a Ratio of Variances

Best Tests and Some General Skills

Uniformly Most Powerful Tests and F-Tests

Likelihood Ratio Tests and Chi-Squared Tests

MLEs

The GRLT

Wilks' Theorem

Chi-Squared Goodness of Fit Test

Independence and Homogeneity

Adventures in GLRTs

Statistical Inference and Hypothesis Testing in Data Science Applications
 at 
Coursera 
Admission Process

    Important Dates

    May 25, 2024
    Course Commencement Date

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    Statistical Inference and Hypothesis Testing in Data Science Applications
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