Schedule (topic flow)
A 15-week pacing plan — Blackboard is authoritative for dates and deadlines
This is a pacing plan, not a calendar. It shows the order in which the methods unfold and roughly when, so you can read ahead and see where you are headed. It is not the authoritative calendar: exact dates, deadlines, and any mid-term adjustments live in Blackboard (the LMS), which is authoritative. A few fixed semester dates are noted for orientation only — confirm everything against Blackboard.
The course runs fifteen weeks in four parts. Each part below lists its weeks, the theme for each week, and the throughline — the question that carries the week. The theme links to that week’s note.
Part I — Foundations of assumption-light reasoning (Weeks 1–2)
We set up the frame: why weaker assumptions are useful, and the empirical objects — order statistics, ranks, and the ECDF — that the rest of the course is built on.
| Week | Theme | The throughline |
|---|---|---|
| 1 | Why assumption-light methods? | What is fragile in a standard analysis, and what do we do when the model is in doubt? |
| 2 | Order statistics, ranks & empirical distributions | How do quantiles, ranks, and the ECDF summarize data without a model? |
Part II — Resampling inference (Weeks 3–6)
We build inference from the data itself: shuffle labels to test, resample to estimate uncertainty.
| Week | Theme | The throughline |
|---|---|---|
| 3 | Permutation logic | Under the null, what stays fixed and what is exchangeable — and what does shuffling test? |
| 4 | Randomization tests | When the reshuffle mimics the assignment mechanism, what does the test license? |
| 5 | Bootstrap distributions | How does resampling with replacement approximate a statistic’s sampling variability? |
| 6 | Bootstrap confidence intervals | How do we turn a bootstrap distribution into an interval — and when does it fail? |
Note: Labor Day (Mon, Sep 7) falls in Week 3 — no class that Monday, so the week runs Wednesday and Friday.
Part III — Rank-based & ordinal methods (Weeks 7–9)
We move to ranks: one-sample and paired, two-sample, and ordered categories — methods that use order, not the raw numbers.
| Week | Theme | The throughline |
|---|---|---|
| 7 | Rank-based one-sample & paired methods (midterm) | How do the sign test and the signed-rank test trade assumptions for one-sample/paired data? |
| 8 | Two-sample rank methods | What does the rank-sum test claim, and why is it a shift, not a difference in means? |
| 9 | Categorical & ordinal outcomes | How do we respect the measurement scale of an ordered categorical outcome? |
Note: the midterm is Friday, Oct 9 (in class), during Week 7. It covers empirical distributions through early rank-based methods. No graded content appears on this public site — see Blackboard.
Part IV — Robustness, comparison & synthesis (Weeks 10–15)
We add robustness — resistant summaries and robust regression — then compare methods, simulate their behavior, and synthesize.
| Week | Theme | The throughline |
|---|---|---|
| 10 | Robust summaries & outliers | Which summaries resist contamination, and how do we find outliers without auto-deleting them? |
| 11 | Robust regression ideas | Why does least squares break under contamination, and how do robust fits hold? |
| 12 | Comparing parametric & nonparametric conclusions | When do the methods agree, when do they diverge, and how do we report the difference? |
| 13 | Simulation study of method behavior | How do Type I error, power, and coverage compare across data-generating processes? |
| 14 | Applied robust-methods report workshop | How do you compare methods on a real problem and write an honestly-bounded report? |
| 15 | Final review | How do resampling, ranks, robustness, and simulation fit as one assumption-light practice? |
Note: fall break is Nov 22–28 (no classes), between Weeks 13 and 14. The last class is Mon, Dec 7, the consultation day is Dec 8, and the final-exam window is Dec 9–15 (exact block via Blackboard).
Again: this page is a pacing plan to help you read ahead. For the real calendar — every date, every deadline, and any adjustment during the term — Blackboard (the LMS) is authoritative.