With multiple groups where each group supposedly has a share of the total proportion, the chi-square technique aids in testing the validity of the given distribution.
- I know it may seem strange, but…there are some parts of the year…where the rate of births are a bit higher than others.…Yeah, there are more babies born…in the summer and fall months…than in the winter and spring months.…Let's say that at a recent conference,…a certain hospital administrator reported that…at her hospital, historically,…the birth rates by season of the year were this.…So, 15% of their annual births were in winter.…
25% in spring, and 30% for both summer and fall.…In an effort to see if the hospital's birth rates…followed the stated seasonal distribution,…the birth totals by season for last year were collected.…And here they are.…So in winter, they had 45 births.…In spring 48, summer 55, and 52 births in fall.…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,…22.5% of the births occurred in winter…versus the expected percentage, 15%.…We can also see the data for the other seasons.…
- 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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