A demonstration of the one-way ANOVA technique and how to calculate the total sum of squares (SST) for multiple groups, each with multiple data points.
- Suppose, there are four different…mobile service companies,…Air Mobile, Binge Tech, ComMobile, Data Roam.…Customers are asked to rank their mobile service…from a scale of one to 10.…One being very poor, 10 being excellent.…Here is the individual data for four different customers…for each company.…Before we move on, I want to note…that while our very simple example…has the same number of responses…for each of the four companies,…ANOVA actually allows us to have…a different number of data points for each individual level.…
In any case, if we calculate the mean score…for each company, we find Air has a mean score of four,…Binge and Data have means of five,…and ComMobile has a mean of six.…If we average all 16 individual scores,…we can get the grand mean of all data values.…Thus, our grand mean,…the average of all 16 data values is 5.0.…
We are now in position to calculate…the total sum of squares,…this is easy but it requires a bit of work.…Let's begin with our Air Mobile data.…We will take our first data point, five,…
- 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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