Watch an example of a goodness-of-fit test, along with a demonstration of chi-square techniques to see how well a sample fits a given distribution.
- So before we perform our chi-square goodness of fit test,…let's recap our situation.…Let's take a look at our stated distribution…one more time.…In an effort to see if the hospital's birth rates…follow the stated seasonal distribution,…the birth totals by season for last year were collected.…There were a total of 200 births.…As you can see, the numbers for last year…do not seem to match up neatly with the historical rates…that were quoted by the hospital administrator.…
For the 200 total births for this one year,…45 total babies were born in winter.…This means 22.5% of the births occurred in winter…versus the expected percentage 15%.…We can also see the data for the other seasons.…Now, we want to know if the observed frequencies…for this one year provides sufficient evidence…to support the seasonal birth rates…quoted by the hospital administrator.…
To do this, we perform a goodness of fit test.…This is a type of chi-square hypothesis test…used to compare two or more populations.…So, let's begin our goodness of fit hypothesis test.…
- Working with small sample sizes
- Using t-statistic vs. z-statistic
- Calculating confidence intervals with t-scores
- Comparing two populations (proportions)
- Comparing two population means
- Chi-square testing
- ANOVA testing
- Regression testing
Skill Level Advanced
1. The Statistics Series: A Look Back and Forward
2. Small Sample Sizes
T-statistic vs. z-statistic3m 44s
3. Comparing Two Populations (Proportions)
4. Comparing Two Populations (Means)
6. ANOVA: Analysis of Variance
7. Introduction to Regression
Next steps1m 40s
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