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.
Additional Requirements for Graduate Students: Readings and exercises in supplemental annotated anthology illustrating research applications of various statistical methods will be required of graduate students.
Athena Title
Applied Statistical Methods Ed
Equivalent Courses
Not open to students with credit in ERSH 4300E, ERSH 4300H or ERSH 6300E
Semester Course Offered
Offered every year.
Grading System
A - F (Traditional)
Student Learning Outcomes
The overall goal of the course is to present an introduction to statistics that emphasizes working with data and statistical ideas.
Upon completion of this course, students will be able to understand data.
Upon completion of this course, students will be able to understand inference.
Upon completion of this course, students will be able 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.
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
