# Mathematics 644

MATH 644: Applied Statistics

Prerequisite: Undergraduate degree in mathematics or permission of instructor, some familiarity with basic statistics desirable

Credit Hours: (3)

In this course students will develop an appreciation and understanding of the role of statistics in their own field of research. Emphases will be placed on making sense of data and applying appropriate statistical methods to summarize and analyze data common to their field of research. Graphing calculators and computer software will be used to analyze and display data. Lecture and self-directed learning will primarily be used. This course is designed for individuals who require a more substantial introduction to statistics that exceeds the rigor of an undergraduate elementary course in statsitics.

Detailed Description of Course

Probability, Events, Union, Intersections, Complementary, Additive Rule and Mutually Exclusive Events, Multiplicative Rule, and Independent Events, Random Variables and Probability, Distributions, Descriptive Statistics, Measures of Centrality, Measures of Variation, Data Displays, Identifying Outliers - BOX Plot, Z Scores, Graphing Bivariate Data, Inferential Statistics, Inferences on Single Samples, Estimation and Confidence Intervals, Population Mean, Normal z statistic, Student t statistic, Population Proportion - Large Sample, Population Variance, Determining Sample Size, Hypothesis Testing: Single Sample, Elements of Hypothesis Test, Population mean: z Statistic, Student t statistic, Observed Levels of Significance - P-values, Population Proportion - Large Samples, Population Variance, Inferences on More than One Sample, Comparing Means, Independent, Dependent, Determining Sample Size, ANONA, Non Parametric Tests, Independent - 2 Populations, Dependent - 2 Populations, Comparing Proportions, Independent, Determining Sample Size, Multinominal Experiment, Two-way Contigency Table, Simple Linear Regression, Model - Least Square approach, Making Inferences About the Slope, Coefficients of Correlation and Determination, Using the model for estimation and prediction, Non-parametric test for correlation.

Detailed Description of Conduct of Course

Instructional Method: Three hour lecture

Goals and Objectives of the Course

The successful student will:

1) Appreciate and understand the role of statistics in their own field of research/study.
2) Develop an ability to apply appropriate statistical methods to summarize and analyze data for some of the more routine experimental settings.
3) Make sense of data and be able to report the results in appropriate table or statistical terms for inclusion in their thesis or research.
4) Interpret results from various computer packages.

Assessment Measures

Graded tasks may include homework, quizzes, and written exams. They may also include writing assignments, analysis using a software package such as SPSS, individual or group projects, presentations, or class participation.

Other Course Information

Students may explore the internet for

1) interesting and appropriate data with which they will perform statistical analyses

2) interesting and appropriate statistical results in educational literature

Review and Approval

May 1, 2018
May 2, 2016
November 2008