Test of Hypotheses, Simplified Engineering Approach

Friendly guide to formulate and test statistical hypotheses. Engineering approach is adopted with lots of examples.
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  • Lectures 41
  • Contents Video: 4 hours
    Other: 2.5 hours
  • Skill Level Intermediate Level
  • Languages English
  • Includes Lifetime access
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About This Course

Published 9/2014 English

Course Description

In this course, students will be introduced to main aspects of statistical hypotheses. A simple engineering approach is adopted with several of examples to explain ideas. The course explains and develop skills toward proper hypotheses formulation and testing methodologies. Major points about hypotheses on the mean and variance of a population are covered.

Finally, we make the use of both Minitab and Matlab software to help us quickly perform our tests. Friendly tutorials are given with examples for both software.

What are the requirements?

  • Pre-knowledge in elementary probabilities and/or statistics
  • Understanding probability distributions, specially normal distribution

What am I going to get from this course?

  • Proper hypotheses formulation
  • Understanding the test statistics
  • Utilizing confidence intervals and P-Values
  • Understanding of concerns about type I and type II errors
  • Make usage of Minitab software to check hypotheses
  • Use Matlab coding to check for hypotheses

What is the target audience?

  • Students with concerns to statistics field
  • Engineers doing experiments related to statistical measures

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Introduction to Hypotheses Testing
08:38

You will get refreshing information about probabilities, statistics distribution. The focus is given to understand normal probability distribution.

What is a hypothesis?
08:01
Formulation of hypotheses
09:13
Sampling distribution
06:51
Quiz set 1
1 page
Section 2: Tests on Population Mean, Population Variance is Known
Performing the test on the mean
12:58
Confidence intervals
07:27
P-Value
09:31
Quick summary
04:11
One sided tests
13:24
More on one sided tests
08:29
Summary
05:34
Quiz set 2
1 page
Section 3: Tests on Population Mean, Population Variance is Unknown
Performing the test
14:34
Using confidence interval and P-Value
06:02
Example: large sample size
Preview
05:40
Quiz set 3
1 page
Section 4: Errors in Hypotheses Testing
Type I and type II errors
07:11
Choosing the sample size
09:00
Quiz set 4
1 page
Section 5: Tests on Population Variance
15:37

Learn how to use Chi-2 test on a population variance.

One sided tests on the variance
08:44
Confidence interval and P-Value
11:28
Quiz set 5
1 page
Section 6: Minitab Software Tutorial
05:42

Introduce to Minitab software environment. Basic issues are covered.

Performing the Z-tet
05:00
Performing the t-test
05:20
Tests on variance
03:53
Quiz set 6
1 page
Section 7: Using Matlab for Hypothesis Testing
Introduction to Matlab 1
03:25
Introduction to Matlab 2
06:22
Using M-Files in Matlab
Preview
07:08
One sample Z test using Matlab
11:20
Confidence Interval in Matlab for Z test
04:19
P-Value in Matlab for Z test
04:24
Matlab code files
2 pages
Performing t and chi^2 tests in Matlab
1 page
Example: One sided test on variance using Matlab
3 pages
Section 8: Appendices
114 pages

This is the full course material in a single pdf file, total of 114 slides.

Main probability distributions tables (Ref: Montgomery and Runger)
4 pages
Operating Characteristic Curves (OCC) (Ref: Montgomery and Runger)
7 pages

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Instructor Biography

Misbah Aiad, Engineer, Tutor

A PhD candidate in the school of Electrical and Electronic Engineering at Nanyang Technological University in Singapore. My research interests are in areas of energy management, applied statistics, optimization engineering and machine learning. I have done my MSc degree at University of Jordan, Jordan in 2013 with study and research focus on Energy Management, my thesis was about hybrid renewable energy systems optimization and selection for different local conditions.

Previously, I have done my BSc degree at the Islamic University of Gaza, Palestine in 2009 in Electrical Engineering.

After graduation of BSc degree, I have worked as a teaching assistant in my university for one semester. Then, I have worked in Projects and Research Lab at same university as a Lab technician and supervisor (from Dec 2009 to Dec 2010).

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