Test of Hypothesis, Simplified Engineering Approach

Friendly guide to formulate and test statistical hypothesis. Engineering approach is adopted with lots of examples.
Rating: 3.6 out of 5 (55 ratings)
5,078 students
Test of Hypothesis, Simplified Engineering Approach
Rating: 3.6 out of 5 (55 ratings)
5,077 students
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

Requirements

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

Who this course is for:
  • Students with concerns to statistics field
  • Engineers doing experiments related to statistical measures
Curriculum
8 sections • 41 lectures • 6h 6m total length
  • Refreshing, What should you know before?
  • What is a hypothesis?
  • Formulation of hypotheses
  • Sampling distribution
  • Quiz set 1
  • Performing the test on the mean
  • Confidence intervals
  • P-Value
  • Quick summary
  • One sided tests
  • More on one sided tests
  • Summary
  • Quiz set 2
  • Performing the test
  • Using confidence interval and P-Value
  • Example: large sample size
  • Quiz set 3
  • Type I and type II errors
  • Choosing the sample size
  • Quiz set 4
  • Performing the test
  • One sided tests on the variance
  • Confidence interval and P-Value
  • Quiz set 5
  • Introduction to Minitab
  • Performing the Z-tet
  • Performing the t-test
  • Tests on variance
  • Quiz set 6
  • Introduction to Matlab 1
  • Introduction to Matlab 2
  • Using M-Files in Matlab
  • One sample Z test using Matlab
  • Confidence Interval in Matlab for Z test
  • P-Value in Matlab for Z test
  • Matlab code files
  • Performing t and chi^2 tests in Matlab
  • Example: One sided test on variance using Matlab
  • Appendix A: course material in PDF
  • Main probability distributions tables (Ref: Montgomery and Runger)
  • Operating Characteristic Curves (OCC) (Ref: Montgomery and Runger)

Instructor
Research Scientist
Misbah Aiad
  • 3.6 Instructor Rating
  • 55 Reviews
  • 5,078 Students
  • 1 Course

I am a Research Scientist at state government of Victoria, Australia. I have completed my PhD in Electrical and Electronic Engineering at Nanyang Technological University, Singapore. My experience and research interests are in areas of applied statistics, optimization engineering, machine learning, modern energy technologies.