12.2: t Distribution Demo Last updated Save as PDF Share Share Share Tweet Contributed by David LaneAssociate Professor (Psychology, Statistics, and Management) at Rice University Chapter: Front1. Introduction2. Graphing Distributions3. Summarizing Distributions4. Describing Bivariate Data5. Probability6. Research Design7. Normal Distribution8. Advanced Graphs9. Sampling Distributions10. Estimation11. Logic of Hypothesis Testing12. Tests of Means13. Power14. Regression15. Analysis of Variance16. Transformations17. Chi Square18. Distribution Free Tests19. Effect Size20. Case Studies21. Calculators22. Glossary Section: ContentsSingle Meant Distribution DemoDifference between 2 MeansRobustness SimulationPairwise ComparisonsSpecific ComparisonsCorrelated PairsCorrelated t SimulationComparisons (correlated)Pairwise (Correlated)Statistical LiteracyExercises Home | Previous Section | Next Section t Distribution Demonstration Learning Objectives State the difference between the shape of the t distribution and the shape of the normal distribution. State how the degrees of freedom affect the difference between the t and normal distributions. Instructions This demonstration allows you to compare the t distribution to the standard normal distribution. At the start, the standard normal distribution is compared to a t distribution with three degrees of freedom. You can change the degrees of freedom of the t distribution with the slider. The 3 and the 50 mark the ends of the slider. The "current" degrees of freedom are shown at the bottom where it says "t distribution with df=3." As you change the slider, the df are shown by this last line. The "zoom in" button allows you to change the scale of the graph to see the tails of the distribution in more detail. Illustrated Instructions Video Demo In the video the slider is used to increase the degrees of freedom. Notice how the t-distribution change as the degrees of freedom increase. The video concludes with the tails of the tails of the graphs being zoomed into via the "zoom in" button and the degrees of freedom being decreased. Video Demo