George Mason University
School of Information Technology and Engineering
Department of Applied and Engineering Statistics


STAT 657: Nonparametric Statistics

Fall Semester, 2002
Thursdays from 7:20 to 10:00 PM (starting Aug. 29, with other dates given below)

Location: room B103 of Robinson Hall (note: Robinson has an A wing and a B wing)


Instructor: Clifton D. Sutton

Contact Information (phone, fax, e-mail, etc.)
Office Hours: 6:15-7:00 & 10:00-10:30 PM on class nights (more information)


Text: Nonparametric Statistical Methods, by M. Hollander and D. A. Wolfe (Wiley, 1999)

Software: StatXact 5

(Read the bottom portion of this web page in order to learn how you can obtain a copy of the required software at a very low price.)


Prerequisite: STAT 554 or STAT 652


Description:

This course focuses on standard nonparametric procedures useful for the analysis of experimental data. One-sample, two-sample, matched pairs, one-way layout, and two-way layout procedures are covered. Nonparametric tests for lack of independence, nonparametric regression, nonparametric procedures for life distributions and survival analysis, goodness-of-fit tests, and tests for trends are also covered. Applications are emphasized, but theory is not completely neglected. State-of-the-art software for exact nonparametric inferences is to be used throughout the semester.

(Approximate) Class-by-Class Content:

[1] Aug. 29:
introduction (strengths and limitations of nonparametric procedures); procedures for dichotomous data (point estimates, tests, and confidence intervals); tolerance intervals
[2] Sep. 5:
the analysis of matched pairs data (sign test, signed-rank test, normal scores test, permutation test)
[3] Sep. 12:
one sample problems (tests about medians and other quantiles, tests about the mean/median of a symmetric distribution, associated estimates, tests of symmetry (for univariate and bivariate data)
[4] Sep. 19:
two-sample procedures for differences in location
[5] Sep. 26:
two-sample procedures for differences in dispersion; two-sample procedures for general differences (omnibus tests)
[6] Oct. 3:
tests pertaining to one-way layouts (tests against general alternatives, tests against ordered alternatives, tests against umbrella alternatives)
[7] Oct. 10:
more on nonparametric procedures for one-way layouts (comparisons with a control, multiple comparisons between all treatments)
[8] Oct. 17:
tests pertaining to two-way layouts
[9] Oct. 24:
more on nonparametric procedures for two-way layouts
[10] Oct. 31:
the independence problem
[11] Nov. 7:
nonparametric regression
[12] Nov. 14:
comparing two success probabilities
[13] Nov. 21:
nonparametric procedures for life distributions and survival analysis
[**] November 28:
(No class due to Thanksgiving Break)
[14] Dec. 5:
runs tests; goodness-of-fit tests
[**] Dec. 12:
Final Exam (note: exam period is from 7:30 to 10:15 PM)

Grading:


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