MATH 231-Biostatics.pdf - KENYA METHODIST UNIVERSITY Distance Learning Material MATH 231 BIOSTATISTICS by COURSE INSTRUCTOR Prof Peter A Kamau Tel 0721


This preview shows page 1 - 5 out of 94 pages.

1 KENYA METHODIST UNIVERSITY Distance Learning Material MATH 231 BIOSTATISTICS by COURSE INSTRUCTOR: Prof Peter A. Kamau Tel: 0721 847 866 © 2009 Published by Kenya Methodist University P.O. Box 267 60200, Meru Tel: 254 064 30301, 31146
Image of page 1
2 1. COURSE DESCRIPTION The course is a general overview of the hypothesis testing procedures 2. OBJECTIVES The aim of this course is to equip the students with the basic knowledge in Statistical procedures. Special emphasis will be given to the use of statistical packages (SPSS, SAS) in data analysis COURSE OUTLINE 1. Probability Distributions Discrete Probility Distributions n(Bionomial, Poisson) Normal Probability Distribution 2. Hypothesis; Definition Hypothesis Testing Procedures Hypothesis Testing for Proportions 3. Z - test 4. T - test One sample test Independent sample test Paired test Chi-Square test 5. Regression and Correlation Analysis Correlation Analysis Regression Analysis 6. F- test Analysis of Variance (ANOVA) 7. Assessment There will be two forms of assessments i Continuous Assessment Tests 30% (CAT) x 2 on times to be decided. ii End of Semester Examination. 70% NB: Late submission of assignments will result to deduction of marks.
Image of page 2
3 TABLE OF CONTENTS 1.0 INTRODUCTION 1 2.0 COLLECTION OF DATA 3 3.0 DATA ORGANIZING 7 4.0 MEASURES OF CENTRE & DISPERSION OF A DATA SET Measures of Centre of a Data 14 Measures of dispersion of a Data 18 Mean and Standard Deviation of a Grouped Data 21 Coefficient of Variation (CV) 27 Skewness 27 Standard Error 28 5.0 CORRELATION & REGRESSION ANALYSIS Correlation Coefficient (r) 29 Linear Regression 33 Coefficient of Determination 35 Standard Error of Estimate (SE) 35 Multiple and Partial Correlation 36 6.0 ELEMENTARY PROBABILITY Probability of an Event 39 Permutations and Combinations 41 Discrete Probability Distributions 44 Normal Distributions 50 Approximating a Binomial Distribution 61 8.0 REVISION EXERCISES 9.0 BIBLIOGRAPHY 68 APPENDIX 69
Image of page 3
4 1.0 INTRODUCTION Statistics is the study of how to collect, organize, analyze and interpret numerical information. Statistics is a rather broad definition and it is useful to consider the subject by discussing the major divisions within the fields: Descriptive Statistics refers to the statistical methods of describing and organization of data e.g. mean, median, mode, range, variance and standard deviation. Inferential Statistics refers to the methods of using a sample to obtain information about a population or making conclusions about a population from the sample statistics. It is therefore important to remember that the main role of inferential statistics is to draw conclusions about a population based on information obtained from a sample. Population refers to all measurements of interest. For example, the weights of all pineapples in a field.
Image of page 4
Image of page 5

You've reached the end of your free preview.

Want to read all 94 pages?

  • Spring '19

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Stuck? We have tutors online 24/7 who can help you get unstuck.
A+ icon
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes
A+ icon
Ask Expert Tutors