Course schedule
Math 410 meets Monday and Wednesday 10.10am - 12.05pm.
Topic sequence
Homework is due on the first lecture the week after the week the homework is given: the first homework questions are all due on February 3.
| Week | 2020 dates | Topic | Chapter | Homework |
|---|---|---|---|---|
| 1 | Jan 27, 29 | Welcome, intro, structure, background, crash course in probability and measures | 1.11, 1.22, 2.73, 3.22, 4.41, 4.42, 7.15, 7.58 | |
| 2 | Feb 3, 5 | Point estimators, Bias and MSE, examples | 8.1-8.4 | 8.3, 8.4, 8.6, 8.18 |
| 3 | Feb 10 | Confidence intervals, Large-sample CIs and sample size | 8.5-8.7 | 8.41, 8.42, 8.62, 8.70, 8.86, 8.87, 8.102 (due Feb 24) |
| 4 | Feb 19 | Small-sample CIs for means and variances | 8.8-8.9 | |
| 5 | Feb 24, 26 | Efficiency and Consistency | 9.1-9.3 | 9.3, 9.15, 9.27 |
| 6 | Mar 2, 4 | Sufficiency, Rao-Blackwell's Theorem, Method of Moments, Maximum Likelihood | 9.4-9.7 | 9.65, 9.67, 9.97 |
| 7 | Mar 9, 11 | Constructing hypothesis tests, Test/CI duality | 10.1-10.5 | 10.2, 10.3, 10.19, 10.37, 10.49 |
| 8 | Mar 16, 18 | Teaching Recess to prepare for online teaching | ||
| 9 | Mar 23, slides, 25 | p-values | 10.6-10.7 | 10.54, 10.56 |
| Mar 30, Apr 1 | Teaching Recess to handle complications with online teaching | |||
| Apr 6, 8 | Spring Break | |||
| 10 | Apr 13 slides, Apr 15 slides | Specific tests: mean and variance, binomial, Lady Drinking Tea; The Neyman-Pearson Lemma, power and likelihood ratios | 10.8-10.11 | 10.67, 10.81, 10.88, 10.99, 10.110 |
| 11 | Apr 20 slides, 22 slides | ANOVA | 13.1-13.7 | 13.31, 13.82 (b,c) |
| 12 | Apr 27 slides, 29 slides | Simple linear regression, inference and prediction | 11.1-11.7 | 11.1, 11.5, 11.17, 11.32, 11.43 |
| 13 | May 4 slides, 6 slides | Correlation, Multiple regression, Return to ANOVA | 11.8-11.14 | |
| May 11 | Deadline for the report | |||
| 14 | May 11, 13 | Presentations | ||
| 15 | May 14-18 | Take-home, open-book Final Exam |
Presentation schedule
| Name | Topic | Presentation Time |
|---|---|---|
| Astarita | In an Absolute State: Elevated Use of Absolutist Words Is a Marker Specific to Anxiety, Depression, and Suicidal Ideation | May 11, 10.00 |
| Avxhi | The chi-square test | May 11, 10.30 |
| Croospulle | Non-parametric testing | May 11, 11.00 |
| Gonzalez-Alvarado | Permutation testing | May 11, 11.30 |
| Slazak | Female hurricanes are deadlier than male hurricanes | May 13, 10.00 |
| Tran | Evaluating the Applications of Statistics in an Observation on Bacterial Growth | May 13, 10.30 |
| Yoo | Bootstrap | May 13, 11.00 |
| Zeqja | Physical and situational inequality on airplanes predicts air rage. | May 13, 11.30 |
Report
The written report is to be submitted by May 11 before the lecture starts.
The main source of your grades in this course will be on a written report. You have a choice of topic:
- Evaluating the statistical methods of a research paper. You will pick a paper to review by the third meeting of the course.
- Describing a statistical method not mentioned in the course.
Your paper report should contain
- A description of the objective of the paper
- A comprehensive description of the statistical methods chosen by the authors
- An evaluation of whether the methods chosen were appropriate. If you find that the authors made mistakes in choosing their analysis methods, you should suggest better choices.
- A reproduction of the statistical analyses made by the authors: compute the estimators they computed, and compare with the values the authors reported.
Your methods report should
- Comprehensively describe the statistical analysis methods and the data collection methods.
- Critically evaluate the applicability requirements and limitations of the method.
- Perform an analysis on a dataset using the method.
- Be presented in class