Stepwise Procedures In Discriminant Analysis

TABLE OF CONTENTS
Page
Title Page
Approval page
Dedication
Acknowledgement
Abstract
Table of Contents

CHAPTER 1: INTRODUCTION
1.1    Discriminant Analysis
1.2    Stepwise Discriminant analysis
1.3    Steps Involved in discriminant Analysis
1.4    Goals for Discriminant Analysis
1.5    Examples of Discriminant analysis problems
1.6    Aims and Obj ectives
1.7    Definition of Terms
1.7.1    Discriminant function
1.7.2    The eigenvalue
1.7.3    Discriminant Score
1.7.4    Cut off
1.7.5    The Relative Percentage
1.7.6    The Canonical Correlation, R*
1.7.7    Mahalanobis distance
1.7.8    The Classification table
1.7.9    Hit ratio 
1.7.10    Tolerance

CHAPTER TWO: LITERATURE REVIEW
2.1    Discriminant analysis
2.2    Stepwise Discriminant analysis
2.3    Linear Discriminant function
2.4    Criteria for Good Discriminant functions
2.4.1    Fishers Criterion
2.4.2    Welch’s Criterion
2.4.3    Von Mises Criterion
2.4.4    Bayes Criterion
2.4.5    Unequal cost of misclassification criterion

CHAPTER THREE: RESEARCH METHODOLOGY
3.1    Stepwise methodologies in discriminant analysis
3.2    The F-Distribution
3.3    The Wilk’s Lambda Distribution
3.4    Using the Linear Discriminant Function
3.5    Interpretation of Linear Discriminant Function
3.6    Limitation of Discriminant Function
3.7    Limitation of Stepwise Methods of Discriminant Analysis
3.8    Ways of Dealing with the Problems Inherent
with Stepwise Discriminant Analysis
3.9    Test of Equality of Two Mean Vectors
3.10    Test of Equality of Two Dispersion Matrices
3.11    Estimating Misclassification Rate
3.11.1    Probability of Misclassification 
3.12    Improved Estimates of Error Rates.

CHAPTER FOUR: DATA ANALYSIS
4.1    Method of Data Collection
4.2    Discriminant (All independent variables) analysis
4.3    Summary of Canonical discriminant function
4.4    Classification Statistics
4.5    Discriminant (stepwise method) analysis
4.6    Stepwise Statistics
4.7    Summary of Stepwise Canonical discriminant functions
4.8    Classification Statistics for Stepwise procedures

CHAPTER FIVE:    RESULTS, CONCLUSION AND
RECOMMENDATION
5.1    Results
5.2    Conclusion
5.3    Recommendation
References
Appendix 1
Appendix II