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Statistical Inference

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Gain insight into a topic and learn the fundamentals.
4.2

4,454 reviews

6 weeks to complete
at 10 hours a week
Flexible schedule
Learn at your own pace

Gain insight into a topic and learn the fundamentals.
4.2

4,454 reviews

6 weeks to complete
at 10 hours a week
Flexible schedule
Learn at your own pace

What you'll learn

  • Understand the process of drawing conclusions about populations or scientific truths from data

  • Describe variability, distributions, limits, and confidence intervals

  • Use p-values, confidence intervals, and permutation tests

  • Make informed data analysis decisions

Details to know

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Assessments

4 assignmentsΒΉ

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Taught in English
91%
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There are 4 modules in this course

Statistical inference is the process of drawing conclusions about populations or scientific truths from data. There are many modes of performing inference including statistical modeling, data oriented strategies and explicit use of designs and randomization in analyses. Furthermore, there are broad theories (frequentists, Bayesian, likelihood, design based, …) and numerous complexities (missing data, observed and unobserved confounding, biases) for performing inference. A practitioner can often be left in a debilitating maze of techniques, philosophies and nuance. This course presents the fundamentals of inference in a practical approach for getting things done. After taking this course, students will understand the broad directions of statistical inference and use this information for making informed choices in analyzing data.

This week, we'll focus on the fundamentals including probability, random variables, expectations and more.

What's included

10 videos11 readings1 assignment5 programming assignments

10 videosβ€’Total 64 minutes
  • Introductory videoβ€’7 minutes
  • 02 01 Introduction to probabilityβ€’6 minutes
  • 02 02 Probability mass functionsβ€’7 minutes
  • 02 03 Probability density functionsβ€’13 minutes
  • 03 01 Conditional Probabilityβ€’3 minutes
  • 03 02 Bayes' ruleβ€’8 minutes
  • 03 03 Independenceβ€’3 minutes
  • 04 01 Expected valuesβ€’5 minutes
  • 04 02 Expected values, simple examplesβ€’2 minutes
  • 04 03 Expected values for PDFsβ€’8 minutes
11 readingsβ€’Total 110 minutes
  • Welcome to Statistical Inferenceβ€’10 minutes
  • Some introductory commentsβ€’10 minutes
  • Pre-Course Surveyβ€’10 minutes
  • Syllabusβ€’10 minutes
  • Course Book: Statistical Inference for Data Scienceβ€’10 minutes
  • Data Science Specialization Community Siteβ€’10 minutes
  • Homework Problemsβ€’10 minutes
  • Probabilityβ€’10 minutes
  • Conditional probabilityβ€’10 minutes
  • Expected valuesβ€’10 minutes
  • Practical R Exercises in swirl 1β€’10 minutes
1 assignmentβ€’Total 30 minutes
  • Quiz 1β€’30 minutes
5 programming assignmentsβ€’Total 900 minutes
  • swirl Lesson 1: Introductionβ€’180 minutes
  • swirl Lesson 2: Probability1β€’180 minutes
  • swirl Lesson 3: Probability2β€’180 minutes
  • swirl Lesson 4: ConditionalProbabilityβ€’180 minutes
  • swirl Lesson 5: Expectationsβ€’180 minutes

We're going to tackle variability, distributions, limits, and confidence intervals.

What's included

10 videos4 readings1 assignment3 programming assignments

10 videosβ€’Total 76 minutes
  • 05 01 Introduction to variabilityβ€’5 minutes
  • 05 02 Variance simulation examplesβ€’3 minutes
  • 05 03 Standard error of the meanβ€’7 minutes
  • 05 04 Variance data exampleβ€’4 minutes
  • 06 01 Binomial distrubtionβ€’3 minutes
  • 06 02 Normal distributionβ€’15 minutes
  • 06 03 Poissonβ€’6 minutes
  • 07 01 Asymptotics and LLNβ€’4 minutes
  • 07 02 Asymptotics and the CLTβ€’8 minutes
  • 07 03 Asymptotics and confidence intervalsβ€’20 minutes
4 readingsβ€’Total 40 minutes
  • Variabilityβ€’10 minutes
  • Distributionsβ€’10 minutes
  • Asymptoticsβ€’10 minutes
  • Practical R Exercises in swirl Part 2β€’10 minutes
1 assignmentβ€’Total 30 minutes
  • Quiz 2β€’30 minutes
3 programming assignmentsβ€’Total 540 minutes
  • swirl Lesson 1: Varianceβ€’180 minutes
  • swirl Lesson 2: CommonDistrosβ€’180 minutes
  • swirl Lesson 3: Asymptoticsβ€’180 minutes

We will be taking a look at intervals, testing, and pvalues in this lesson.

What's included

11 videos5 readings1 assignment3 programming assignments

11 videosβ€’Total 83 minutes
  • 08 01 T confidence intervalsβ€’9 minutes
  • 08 02 T confidence intervals exampleβ€’4 minutes
  • 08 03 Independent group T intervalsβ€’15 minutes
  • 08 04 A note on unequal varianceβ€’3 minutes
  • 09 01 Hypothesis testingβ€’4 minutes
  • 09 02 Example of choosing a rejection regionβ€’5 minutes
  • 09 03 T testsβ€’7 minutes
  • 09 04 Two group testingβ€’18 minutes
  • 10 01 Pvaluesβ€’8 minutes
  • 10 02 Pvalue further examplesβ€’6 minutes
  • Just enough knitr to do the projectβ€’4 minutes
5 readingsβ€’Total 50 minutes
  • Confidence intervalsβ€’10 minutes
  • Hypothesis testingβ€’10 minutes
  • P-valuesβ€’10 minutes
  • Knitrβ€’10 minutes
  • Practical R Exercises in swirl Part 3β€’10 minutes
1 assignmentβ€’Total 30 minutes
  • Quiz 3β€’30 minutes
3 programming assignmentsβ€’Total 540 minutes
  • swirl Lesson 1: T Confidence Intervalsβ€’180 minutes
  • swirl Lesson 2: Hypothesis Testingβ€’180 minutes
  • swirl Lesson 3: P Valuesβ€’180 minutes

We will begin looking into power, bootstrapping, and permutation tests.

What's included

9 videos4 readings1 assignment3 programming assignments1 peer review

9 videosβ€’Total 86 minutes
  • 11 01 Powerβ€’5 minutes
  • 11 02 Calculating Powerβ€’13 minutes
  • 11 03 Notes on powerβ€’5 minutes
  • 11 04 T test powerβ€’8 minutes
  • 12 01 Multiple Comparisonsβ€’25 minutes
  • 13 01 Bootstrappingβ€’7 minutes
  • 13 02 Bootstrapping exampleβ€’3 minutes
  • 13 03 Notes on the bootstrapβ€’10 minutes
  • 13 04 Permutation testsβ€’9 minutes
4 readingsβ€’Total 40 minutes
  • Powerβ€’10 minutes
  • Resamplingβ€’10 minutes
  • Practical R Exercises in swirl Part 4β€’10 minutes
  • Post-Course Surveyβ€’10 minutes
1 assignmentβ€’Total 30 minutes
  • Quiz 4β€’30 minutes
3 programming assignmentsβ€’Total 540 minutes
  • swirl Lesson 1: Powerβ€’180 minutes
  • swirl Lesson 2: Multiple Testingβ€’180 minutes
  • swirl Lesson 3: Resamplingβ€’180 minutes
1 peer reviewβ€’Total 120 minutes
  • Statistical Inference Course Projectβ€’120 minutes

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Instructors

Instructor ratings
4.3 (207 ratings)
Johns Hopkins University
30 Coursesβ€’1,719,511 learners

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Learner reviews

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Showing 3 of 4454

MG
Β·

Reviewed on Aug 14, 2016

Outstanding material. You can scale the difficulty and depth on the subject as you wish. Great source and references. (Recommend seeing the videos at 1.5 x speed though).

CC
Β·

Reviewed on Feb 22, 2016

This was probably the most difficult and challenging course . Had to pull out my old stats books to remember most of it. Using R to do what we used to do with TI-83's was great!

DB
Β·

Reviewed on May 22, 2017

Excellent course. After completion, I really feel like I have a great grasp of basic inferential statistics and this course introduced ideas that I had not even considered before.

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When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile.

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