I am going to teach an undergraduate statistics course for the first time next semester. I would like students to do a project by applying some of the things they learned to real-world data. Is there any sources (books, websites) with suitable examples for something likes this?
The topics covered in the course will be
- Prior and Posterior Distributions, Conjugate Prior Distributions, Bayes Estimators
- Maximum Likelihood Estimators
- The Sampling Distribution of a Statistic, The Chi-Square Distributions, The t-distributions, Confidence Intervals, Fisher Information
- Testing Simple Hypotheses, Uniformly Most Powerful Tests, Uniformly Most Powerful Tests, The t Test, Comparing Two Normal Distributions
- Goodness-of-Fit, Contingency Tables, Tests of Homogeneity
- Linear Regression
Update: One idea I have is to ask students to find a paper with published data and verify the statistics done in this paper is accurate. Is this a good idea?