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Applied Nonparametric Statistical Methods Solutions Manual Download

KEAN UNIVERSITY

Union, New Jersey

Course Number:Math 4500

Semester Hours:Three(3)

Prerequisite:Math 3526 or equivalent

Course Description

The dichotomous data problem, the one-sample and two-samplelocation problems, distribution-free rank test for dispersion and the difference in two populations, the one-way layout, distribution-free tests, multiple comparisons and the two-way layout distribution-free tests. Computers will be utilized.

Prerequisite:Math 3526 or equivalent

I.Objectives

Upon completion of the course the student should be able to:

A.Understand principles of nonparametric statistics

B.Solve applied problems in nonparametric statistics

C.Interpret the results of a nonparametric statistical

analysis

D.Use software systems for solving problems in nonparametric statistics

II. Course Content

A. The Dichotomous Data problem

1. A Binomial test

2. An estimator for the probability of success

3. Confidence interval for the probability of

success

B.The one sample location problem

1. Wilcoxon’s signed rank test

2. Fischer’s sign test

3. Procedures based on signed rank and sign

statistics

4. Distribution-free test of symmetry

C. The two-sample location problem

1.Wilcoxon, Mann and Whitney rank sum test

2.Estimation and confidence interval based on

Wilcoxon’s rank sum test

3.Efficiencies of one sample and two-sample

location procedures

4.Distribution free rank sum test for dispersion with equal medians

5.Kolmogorov-Smirnov test for difference in two populations

6.Efficiencies of two-sample Dispersion procedures

D. The One-Way Layout

1. Kruskal-Wallis test for general alternatives

2. Distribution-free test for Umbrella alternatives

3. Distribution-free test for treatments versus a

Control

4. Multiple comparisons based on pair-wise ranking

5. Efficiencies of one-way Layout procedures

E.The Two-Way Layout

1.Distribution-free test for general alternatives in a randomized complete block

design

2.Distribution-free test for ordered alternatives in a randomized complete block

design

3. Multiple comparisons based on Friedman Rank sums test-general configuration

4. Contrast estimation based on one-sample median estimators

II.Methods of Instruction

A. Lectures and discussions

B. Software demonstrations

C. Discussions of computer output of nonparametric

Statistical analysis

IV.Methods of Evaluation

A. Examinations

B. Assignments

C. Projects

V.Suggested Text

Hollander, Myles and Wolfe, Douglas A., Nonparametric Statistical Methods, 2^nd Ed., New

York, NY.: John Wiley & Sons, 1999.

Hollander, Myles and Wolfe, Douglas A., Nonparametric Statistical Methods, Solution manual

2^nd Ed., New York, NY.: John Wiley & Sons, 1999.

VI.Bibliography

Brunner, Edgar; Domhof,Sebastian; and Langer,Frank, Nonparametric Analysis of Longitudinal

Data in Factorial Experiments, New York, N.Y.: John Wiley & Sons, 2001.

Chernick, Michael R., Bootstrap Methods: A Practitioner’s Guide, New York, N.Y.: John

Wiley & Sons Inc., 1999.

Cody, R. P. and Smith, J. K., Applied Statistics and the SAS Programming Language, 4^th Ed.,

Upper Saddle River, New Jersey: Prentice-Hall, Inc., 1997.

Conover, W. J., Practical Nonparametric Statistics, 3^rd Ed., New York, NY.: John Wiley &

Sons Inc., 1998.

Daniel, Wayne W., Applied Nonparametric Statistics, 2^nd Ed., Boston, Mass.: PWS-KENT, 1990.

Gibbons Jean Dickinson, Nonparametric Statistical Inference, New York, N.Y.: McGraw-Hill

Book Company, 1971.

Jennrich, Robert I., Computational Statistics: An Introduction, Englewood Cliffs, NJ.:

Prentice Hall, 1995.

Kuehl, Robert O., Statistical Principles of Research Design and Analysis, Belmont CA.:

Duxbury Press, 1994.

Mendenhall, W. and Sincich, T., Statistics for Engineering and Computer Sciences, 2nd Ed.,

San Francisco: Dellen and Macmillan publishing Co., 1988.

Montgomery, D. C., Introduction to Statistical Quality Control, 2nd Ed., New York: John

Wiley & Sons Inc., 1991.

Ott, L. R., An Introduction To Statistical Methods and Data Analysis, 5th Ed., Belmont,

California: Duxbury and Wadsworth Publishing Co., 2001.

Ryan, T. P., Statistical Methods For Quality Improvement,New York: John Wiley & Sons Inc.,

Nonparametric Analysis

1989.

SAS InstituteSAS/QC Software: Reference, Cary, North Carolina: SAS Institute, 1989.

Tamhane, Ajit C. and Dunlop, Dorothy D., Statistics and Data Analysis, Upper Saddle River,

NJ: Prentice Hall,2000.

Applied Nonparametric Statistical Methods Pdf

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