Watch a demonstration of how to calculate an f-statistic for use in a hypothesis test. In addition, a presentation on finding critical f-scores to compare to the calculated f-statistic.
So far, we've been able to calculate our sum of squares,…our sum of squares within,…and our sum of squares between.…We also found the relationship between these three values.…Our sum of squares is the sum of the squares within,…and the squares between.…The next, and perhaps obvious question would be…so, what can we do with this?…Well, we can start to test our data set.…Presently, it looks like ComMobile is providing…better service than its competitors.…
And it looks like Air Mobile is providing the worst service.…I'm simply basing this off of their mean values.…The question is, is it possible that…these data values happen by chance…and that perhaps the services are equal?…In other words, perhaps if the entire population…of mobile service users got to try all four companies…we would find that there really is not a difference…between these companies.…So, if we wanted to establish a hypothesis test,…we would begin by stating our hypotheses.…
Here's the nice thing about ANOVA:…the null hypothesis is always the same.…
Author
Released
12/19/2016- 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
Duration
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Introduction
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Welcome2m 4s
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1. The Statistics Series: A Look Back and Forward
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2. Small Sample Sizes
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T-statistic vs. z-statistic3m 44s
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3. Comparing Two Populations (Proportions)
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Set up a comparison4m 37s
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Hypothesis testing6m 41s
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4. Comparing Two Populations (Means)
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Set up a confidence interval5m 15s
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Hypothesis testing5m 45s
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5. Chi-Square
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Introduction to chi-square2m 53s
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Curves and distribution3m 48s
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Goodness-of-fit test6m 25s
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6. ANOVA: Analysis of Variance
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7. Introduction to Regression
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What is regression?3m 29s
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The best-fitting line3m 32s
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Conclusion
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Next steps1m 40s
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Video: Hypothesis test and f-statistic