Introduction
Most of the hypothesis-testing procedures are based on the assumption that the random samples are selected from normal populations. Fortunately, most of these tests are still reliable when we experience slight departures from normality, particularly when the sample size is large. Traditionally, these testing procedures have been referred to as a parametric methods. Nonparametric or distribution-free methods, that often assume no knowledge whatsoever about the distributions of the underlying populations, except perhaps that they are continuous. There are many applications in science and engineering where the data are reported as values not on a continuum but rather on an ordinal scale such that it is quite natural to assign ranks to the data.
So this course concerns with the Non-Parametric approach instead of using the vast variety parametric statistics test due to violating the assumption of normality in the data. The course also enlightens the significance of different supplementary tests that have no concern with the distribution of data. Another direction of the course indicates the real-life applications, problem and their solutions in the applied field of statistics.
Pre-Requisite
STAT-206,305
Learning Outcomes
The course gives an introduction to non-parametric statistics, starting with the difference between the mean and the median and the influence of having data with a skewed distribution. At the end of this course, students should be able to
Skills
Perform non-parametric testing in software such as SPSS, and interpret the output
RECOMMENDED BOOK
Course plan:
Week |
Topics |
Book (Page number) |
1 |
Introduction to Non-parametric methods& Sign test |
NON PARAMETRIC STATISTICS (2009)Step by Step Approach by GREGORY W. CORDER DALE I. FOREMAN (1-7) |
2 |
Paired sign test &Wilcoxon sign rank test |
NON PARAMETRIC STATISTICS (2009)Step by Step Approach by GREGORY W. CORDER DALE I. FOREMAN(38-40) |
3 |
Wilcoxon for paired observation & Run test |
NON PARAMETRIC STATISTICS (2009)Step by Step Approach by GREGORY W. CORDER DALE I. FOREMAN(192-202) |
4 |
The median test |
Conover, W.J, (1999), Non-Parametric Statistics, 3rd edition, John Wiley and Sons (42-45) |
5 |
Kruskal Wallis test |
NON PARAMETRIC STATISTICS (2009)Step by Step Approach by GREGORY W. CORDER DALE I. FOREMAN(99-101) |
6 |
Mann Whitney U test |
NON PARAMETRIC STATISTICS (2009)Step by Step Approach by GREGORY W. CORDER DALE I. FOREMAN (57-62) |
7 |
Confidence interval based on sign and Wilcoxon test |
NON PARAMETRIC STATISTICS (2009)Step by Step Approach by GREGORY W. CORDER DALE I. FOREMAN(42-53) |
8 |
The Moods test |
Conover, W.J, (1999), Non-Parametric Statistics, 3rd edition, John Wiley and Sons(63-72) |
9 |
Friedman’s test |
NON PARAMETRIC STATISTICS (2009)Step by Step Approach by GREGORY W. CORDER DALE I. FOREMAN (79-84) |
10 |
Kolmogorov Smirnov Test |
NON PARAMETRIC STATISTICS (2009)Step by Step Approach by GREGORY W. CORDER DALE I. FOREMAN (26-30) |
11 |
Cochran’s test |
Conover, W.J, (1999), Non-Parametric Statistics, 3rd edition, John Wiley and Sons(52-55) |
12 |
Spear’s man rank correlation test& Presentations |
NON PARAMETRIC STATISTICS (2009)Step by Step Approach by GREGORY W. CORDER DALE I. FOREMAN(122-125) |
13&14 |
Kendall’s Correlation coefficient test & tests on software |
NON PARAMETRIC STATISTICS (2009)Step by Step Approach by GREGORY W. CORDER DALE I. FOREMAN(125-130) |
15 |
Kolmogorov, Kruskal Wallis test, and Mann Whitney u Test |
NON PARAMETRIC STATISTICS (2009)Step by Step Approach by GREGORY W. CORDER DALE I. FOREMAN(30-32)(63-65) |
16 |
Chi-square test intro, procedure,&chi square test on software |
NON PARAMETRIC STATISTICS (2009)Step by Step Approach by GREGORY W. CORDER DALE I. FOREMAN (167-169) |
CLASS TIME