(EC24J or M21A) and (EC23M or M25A and M25B)


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ECON3040 : Non Parametric Statistics

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