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Introduction to Statistics II - Lecture 11

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Lecture 11 - The Chi-Square Distribution

Have you ever wondered if lottery numbers were evenly distributed or if some numbers occurred with a greater frequency? How about if the types of movies people preferred were different across different age groups? What about if a coffee machine was dispensing approximately the same amount of coffee each time? You could answer these questions by conducting a hypothesis test.

You will now study a new distribution, one that is used to determine the answers to the above examples. This distribution is called the Chi-square distribution.

This lecture covers the three major applications of the Chi-square distribution:

  • - The goodness-of-fit test, which determines if data fits a particular distribution, such as with the lottery example
  • - The test of independence, which determines if events are independent, such as with the movie example
  • - The test of a single variance, which tests variability, such as with the coffee example

Dr. Barbara Illowsky, Susan Dean
Collaborative Statistics
Date accessed: 2009-01-17
License: Creative Commons Attribution 2.0

Lecture Material

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