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Lecturer

Mrs. Kelly-Ann Dixon kellyann.dixon02@uwimona.edu.jm

Office: Rm 15  Office Hours (Monday 1-2, Wednesdays 5-6)

 

Course Description

This module focuses on the theory and methods of making statistical inference based on nonparametric techniques. 

Course Assessment

The final grade in this course will be based on:

  •      2 Problem Sets (5% each): 10%  
  •      Mid Semester Exam: 25%   
  •      Final Exam: 65%

Course Outline


1.   Introduction (Conover, Section 2.5)

Definition of Nonparametric Statistics / Methods

Advantages and Disadvantages of using Nonparametric Methods

When to use Nonparametric Methods

Review of Hypothesis Testing


2.  Test Based on the Binomial Distribution (Conover, Chapter 3)

 

Binomial Test and Estimation of p

The Quantile Test and Estimation of Xp

The Sign Test

Variations of the Sign Test
 
 
3.  Tests Based on Contingency Tables (Conover, Chapter 4)

2 x 2 Contingency Tables

r x c  Contingency Tables

The Median Test

Measures of Dependence

The Chi-Square Goodness-of-Fit Test

 
4.  Tests Based on Ranks (Conover, Chapter 5)

Two Independent Samples (Mann-Whitney)

Several Independent Samples (Kruskal-Wallis)

Measure of Rank Correlation (Spearman)

One-Sample or Matched-Pairs Case (Wilcoxin) 


5.  Other Topics in Nonparametric Statistics


Prescribed Texts

Conover, W. J., Practical Nonparametric Statistics, John Wiley & Sons, 1999

Lindley D. V. and Scott W. F. New Cambridge Elementary Statistical Tables, Cambridge University Press

Additional Readings

Sprent, P. and Smeeton, N. C.,  Applied Nonparametric Statistical Methods, Chapman & Hall/CRC 2001

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