- Week of January 4
- UNIT 1.
1.1 About the course. Software Python, R, Octave. Installation. History of Nonparametric Statistics,
Course Plan and Coverage. Review of Random Variables and Distributions
- Week of January 11
- UNIT 1.
1.2 Central Limit Theorem, Estimation and Testing, Parametric Point of View.
1.3 Examples and Exercises. HW1 (open for submission January 15, 2021, 10:00am – due January 21, 11:55pm)
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Week of January 18
- UNIT 2.
2.1 Order Statistics, Distribution of Order Statistics, Sample Quantiles;
2.2 Asymptotic Distributions of Order Statistics. Extreme Values;
2.3 Examples and Exercises, HW2 (open for submission January 21, 12:00pm -- due January 27, 11:55pm)
- Week of January 25
- UNIT 3.
Goodness of Fit Tests: 3.1 Chi-Square Test, 3.2 Kolmogorov test, Smirnov Test.
3.3 Specialized GOF tests, 3.3 Examples and Exercises;
HW 3 (open for submission January 21, 12:00pm -- due January 27, 11:55pm)
- Week of February 1
- UNIT 2.
UNIT 4. Ranks and tests based on Ranks. 4.1 Properties of Ranks,
4.2 Sign test and Wilcoxon Signed Rank Test; 4.3 Wilcoxon Sum Rank Test
- Week of February 8
- UNIT 4.
Continued. 4.4 Kruskal Wallis and Friedman Tests; 4.5 Examples and Exercises, HW4 (open for submission February 11, 12:00pm - due February 17, 11:55pm).
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Week of February 15
- UNIT 5.
Contingency Tables; 5.1 Two way tables and testing
for independence and homogeneity. 5.2. Three way tables; 5.3 Fisher Exact Test;
- Week of February 22
- UNIT 5.
5.4 Paired Tables, McNemar Test, 5.5 Multiple Tables:
Mantel Haenszel Theory; Examples and Exercises;
Homework 5 (open for submission February 25, 12:00pm -- due March 3, 11:55pm).
- Week of March 1
- MIDTERM
(released March 4, 12:00pm -- due March 10, 11:55pm). Midterm is not proctored and not
time limited except the due date. Late submissions will not be accepted.
- Week of March 8
- UNIT 6.
6.1 Function and Density Estimation. Kernel Estimators. 6.2 Smoothing Splines.
Survival and Kaplan-Meier Estimator. Examples and Exercises;
Homework 6 (open for submission February 25, 12:00pm -- due March 3, 11:55pm).
- Week of March 15
- UNIT 7.
Wavelets. 7.1 Wavelet Transforms in 1 and 2 dimensions. 7.2.
Smoothing by Wavelet Shrinkage. Examples and Exercises;
- Week of March 22
- UNIT 7.
7.2 Wavelet Assessment of Scaling. Examples and Exercises;
Homework 7 (open for submission February 25, 12:00pm -- due March 3, 11:55pm).
- Week of March 29
- UNIT 8.
Resampling Methods. 8.1 Jackknife Methodology; 8.2 Bootstrap Methods;
8.3 Permutation Tests. Examples and Exercises;
Homework 8 (open for submission February 25, 12:00pm -- due March 3, 11:55pm).
- Week of April 5
- UNIT 9.
Basics of Statistical Learning. Homework 9 (Open for submission April 8, 12:00pm -- due April 14, 11:55pm)
- Week of April 12
- UNIT 10.
Applications and Case Studies.
- Week of April 19
- PROJECT
Project: My Own Nonparametric Data Analysis (An Open-Ended Project)
(Open for submission April 15, 12:00pm -- due May 1, 11:55pm)
- Week of April 26
- FINAL.
(Released and open for submission April 19, 12:00pm -- due May 1, 11:55pm)
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ISyE6404 by Brani Vidakovic is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Based on a work at http://www.isye.gatech.edu/~brani/isye6404/.