MODELING BRONCHO-PNEUMONIA STATUS IN INFANTS USING DISCRIMINANT AND LOGISIC REGRESSION ANALYSES
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Author
Presented To
Department of Statistics
ABSTRACT
This work applies Discriminant Analysis and Logistic Regression models to predict the
prevalence of Broncho-Pneumonia status (BPn) in infants. The data used in this study were
collected from two tertiary health institutions in North Central Zone; University Teaching
Hospital (UTH), Abuja and Federal Medical Centre (FMC), Keffi, Nassarawa State. Five
predictors which are well-recognized for characterizing broncho-pneumonia in infants
(baby’s weight at birth, baby’s weight 4week after, sex, mother’s age and mother’s
occupation) were considered. One hundred and eighty (180) and two hundred and fifty
three (253) infants with Low Birth Weight (LBW) were randomly sampled using simple
random sampling technique from UTH, Abuja and FMC, Keffi respectively to build up the
models. Both Linear Discriminant and Logistic Regression Models were fitted to the data
for the two groups, and the best model was identified. Ten different samples of size 10 each
were randomly taken from the dataset using SPSS package. The new datasets were used to
validate the two models. It was observed that Discriminant Model is better used in the zone
than Logistic Regression Model. We also find out that baby’s weight at birth is best at
discriminating between the two groups, since it has the least value of Wilk’s Lambda compare to
other predictor variables.
Table of Contents
TITLE PAGE…………………………………………………………………………………… i
DECLARATION…………………………………………………………………………………ii
CERTIFICATION………………………………………………………………………………iii
DEDICATION……………………………………………………………………………………iv
ACKNOWLEDGEMENT……………………………………………………………………… - v
ABSTRACT…………………………………………………………………………………… - vi
TABLE OF CONTENTS………………………………………………………………………vii
List of Tables……………………………………………………………………………………ix
Acronyms…………………………………………………………………………………………x
CHAPTER ONE…………………………………………………………………………………1
INTRODUCTION……………………………………………………………………………… - 1
11 Background of the study…………………………………………………………………1
12 Broncho-Pneumonia………………………………………………………………………5
13 Low Birth Weight…………………………………………………………………………6
14 Statement of the Problem…………………………………………………………………8
15 Aim and Objectives of the Study…………………………………………………………8
16 Significance of the Study…………………………………………………………………9
17 Scope of the Study………………………………………………………………………9
18 Definition of Terms………………………………………………………………………10
CHAPTER TWO………………………………………………………………………………10
LITERATURE REVIEW………………………………………………………………………10
21 Introduction………………………………………………………………………………10
22 General Review…………………………………………………………………………11
23 Gap identified in literature………………………………………………………………20
CHAPTER THREE…………………………………………………………………………… - 21
RESEARCH METHODOLOGY………………………………………………………………21
31 Introduction……………………………………………………………………………21
32 Assumptions of Discriminant and Logistic regression analyses………………………22
33 Study Design…………………………………………………………………………… 22
34 Population and Sample of Study…………………………………………………………23
35 Data Collection…………………………………………………………………………24
36 Concept of Discriminant Analysis………………………………………………………24
37 Method used in this study………………………………………………………………25
38 Test For Significance of Canonical Correlation (Wilk’s Lambda)… - ……………… - 30
39 Box’s M - Test for the Equality of Covariance Matrices…………… ………………30
310 Logistic Regression Model……………………………………………………………31
311 Chi-square test…………………………………………………………………………33
312 Omnibus Chi-Square Test…………………………………………………………… - 34
313 Multicollinearity………………………………………………………………………35
CHAPTER FOUR………………………………………………………………………………36
ANALYSIS, RESULTS AND DISCUSSIONS…………………………………………………36
41 Introduction………………………………………………………………………………36
42 Descriptive Statistics……………………………………………………………………37
43 Checking the Assumptions of Discriminant Analysis……………………………… - …39
44 Linear Discriminant Function - - - - - - - - - - - - - - - 40
45 The Logistic Regression Model…………………………………………………………43
46 Goodness of fit and classification power……………………………………………… - 44
47 Discussion of Results……………………………………………………………………46
48 Major Findings………………………………………………………………………… - 46
CHAPTER FIVE……………………………………………………………………………… - 48
SUMMARY, CONCLUSION AND RECOMMENDATIONS…………………………………48
51 Summary…………………………………………………………………………………48
52 Conclusion………………………………………………………………………………48
53 Recommendations…………………………………………………………………… - 49
54 Contribution to knowledge………………………………………………………………50
References………………………………………………………………………………………51
Appendix I………………………………………………………………………………………54
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