Course Description
Techniques for describing and summarizing data for educational research studies. Applications of the standard normal distribution and the use and interpretation of standard scores. Inferential statistics for one and two population studies, including means, proportions, and correlations.
Athena Title
Applied Stat Methods in Edu H
Equivalent Courses
Not open to students with credit in ERSH 4300, ERSH 6300, ERSH 4300E, ERSH 6300E
Prerequisite
(ERSH 4200/6200 or ERSH 4200E/6200E) and permission of Honors
Semester Course Offered
Offered fall and spring
Grading System
A - F (Traditional)
Course Objectives
The overall goal of the course is to present an introduction to statistics that emphasizes working with data and statistical ideas. The main objectives of the course are: 1. To understand data. 2. To understand inference. 3. To apply descriptive and inferential statistics techniques. In order to achieve the overall goal, the course will involve readings of the text, a series of assignments to reinforce the key concepts, a set of computer exercises, and three examinations. Most class sessions will include illustration of key concepts developed through assigned readings, identification and discussion of these concepts in actual research settings, and analysis and discussion of selected problems involving these concepts. Honors students will be asked to complete an independent project focused on data analysis strategies learned in the lectures from class.
Topical Outline
Statistical Data (Objective 1) Examining Distributions Displaying Distributions with Graphs Describing Distributions with Numbers The Normal Distribution Examining Relationships Scatterplots Correlation Least-Squares Regression Cautions about Correlation and Regression Relations in Categorical Data Producing Data Designing Samples Designing Experiments Statistical Inference (Objective 2) Probability and Sampling Distribution Randomness Probability Models Sampling Distributions Probability Theory General Probability Rules The Binomial Distributions Conditional Probability Introduction to Inference Estimating with Confidence Tests of Significance Making Sense of Statistical Significance Error Probabilities and Power Inference for Distributions Inference for the Mean of a Population Comparing Two Means Inference for Population Spread Inference for Proportions Inference for a Population Proportion Comparing Two Proportions Inference for Two-Way Tables Two-Way Tables The Chi-Square Test One-Way Analysis of Variance: Comparing Several Means The Analysis of Variance F Test Some Details of ANOVA Inference for Regression Inference about the Model Inference about Prediction Checking the Regression Assumptions Applications (Objective 3) Assignments Examinations Computer Lab BPS 2.0 CD and Internet SPSS SAS