APM 510 is an introductory course in the application of statistical and probability theory to scientific discovery.
Mathematics is the science of dealing with the logic of quantity and patterns. As an applied mathematical science, the goal of statistics is to provide insight into problems and processes by making sense of data through understanding distribution patterns in data. Statistics includes the study of how to collect data, how to summarize and organize data for effective information exchange, and how to draw conclusions from data. Statistics quantifies the uncertainty of statements (inferences) made about a group of objects of interest (the population) based on data from only a small part of the population (the sample). This is an introductory course emphasizing applications and basic concepts. Lectures will focus upon correct use and interpretation of statistical techniques. The early part of the course explores basic concepts and techniques, and these concepts are then applied to statistical methods commonly used to answer scientific and policy questions.
At the end of the course, the student should be able to:
- understand the differences and similarities between population parameters and sample statistics;
- apply appropriate graphical displays to represent univariate and bivariate data;
- understand and know how to calculate various quantitative statistics used to describe the central tendency, spread and shape in the distribution of numerical data sets;
- understand the standard normal and binomial distributions and how to determine probabilities associated with such distributions;
- understand the central limit theorem, how it relates to the sampling distribution for various summary statistics and determine probabilities associated within sampling distributions, and how it is applied when making statistical inferences about population parameters;
- apply appropriate hypothesis tests and/or calculate confidence intervals for determining statistical inference on a population proportion or mean, or on the difference between two population proportions or means, or the relationship between two quantitative variables; and
- understand that the statistics can be fun!!!
Course content in managed under the Blackboard course management system.