+
Chi-Square Test for Goodness-of-Fit

Chi-Square Test for Goodness-of-Fit

Author: Al Greene
Description:

- Introduce the Chi-Square Distribution (X2) and when it is appropriate to use
- Present how to write the null hypothesis (H0: p1=p1, p2=p2,…, pk=pk) and alternative hypothesis (HA: p1≠p1, p2≠p2,…, pk≠pk) for a Chi-Square Goodness-of-Fit Test
- Introduce the Chi-Square Goodness-of-Fit Test 
- Demonstrate how to perform a Chi-Square Goodness-of-Fit Test using technology (calculator or computer)
- Demonstrate the steps of performing a Chi-Square Goodness-of-Fit Test, included necessary assumptions and conditions
- Practice interpreting calculated p-values in context of the problem to determine statistical significance

This packet introduces you to the chi-square distribution, specifically for use in testing goodness-of-fit. We show you the formula for calculating a chi-square statistic, what conditions must be met for you to use it, and how to interpret p-values for statistical significance.

(more)
See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to over 2,000 colleges and universities.*

Begin Free Trial
No credit card required

25 Sophia partners guarantee credit transfer.

221 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 20 of Sophia’s online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

What's in this packet

This packet introduces you to the chi-square distribution. We have a powerpoint presentation on the distribution, the formula for the statistic, examples done, and examples for you to do. Some terms that may be new are:

 

  • Chi-Square Statistic
  • Chi-Square Distribution (X2)
  • Chi-Square Goodness-of-Fit Test

Source: Greene

Goodness of Fit

This short powerpoint gives you the idea of the chi square distribution. The video below shows most of the information in this packet.

Source: Greene

Pearson's Chi Square Test (Goodness of Fit)

Here is a video showing you how to execute the Chi Square Test for Goodness of Fit.