COURSE NUMBER AND TITLE: MATH 5110 INTRODUCTION TO BIOSTATISTICS

CREDIT HOURS: 3

CATALOG DESCRIPTION: This course offers an introduction to the basic statistical techniques used to analyze and interpret data in the health sciences and related fields. Emphasis is on applications of these methods, with graphical statistics (estimation and hypothesis testing) for numeric and categorical data, nonparametric methods, analysis of variance, regression, and correlation.

PREREQUISITE(S): MATH 2013 (grade of C or better)

SUGGESTED TEXT(S): Fundamentals of Biostatistics, by Rosner, 6th Edition, Cengage Learning, 2006.

COURSE OUTLINE:

• Descriptive Statistics - measures of Location, measures of spread, group data, graphic methods.
• Introduction to Probability – Basic rules of probability, conditional probability, Bayes theorem, ROC curves, prevalence and incidence.
• Random variables, probability mass functions, expectation and variance, distribution functions, permutation and combination, Binomial, Poisson and Poisson approximation of Binomial.
• Estimation of Mean and variance, estimation of Binomial and Poisson, one-sided confidence intervals.
• Introduction to Hypothesis Testing – One sample test for mean and variance, test for Binomial and Poisson parameters, sample size and power.
• Comparison of means- paired designs, test of two sample inference for means - equal and unequal variances, test of equality of variances, sample size and power.
• Nonparametrics – sign test, Wilcoxon rank-sum test, Wilcoxon signed rank test.
• Categorical Data - two-sample Binomial test, Fisher’s exact test, McNamer’s test, R X C contingency tables, test of goodness of fit, Kappa statistic.