11: Overview of Advanced Statistical Topics

Overview Section

 Case-Study

Jin continues to recognize more and more of the statistical terminology in his research articles for his community development master’s degree. While his confidence is growing he isn’t quite sure about some of the techniques he is encountering. He recognizes pieces of the material, but can’t quite connect it to the material he has already learned. Let’s take a closer look at four of his articles and help him draw the connections.

Most introductory statistics classes, including this one, leave off at the point where most applied statistics actually start. As a consumer of statistics you might notice the foundational principles of introductory statistics embedded in journal articles or research reports, however the main statistical technique goes well beyond the level covered in the course. Much like a kiddie roller coaster is a miniaturized version of a real roller coaster, the material to this point in the course has prepared you to begin to ride the “real” version of the ride. This lesson, is a very high overview of some of the more common advanced statistical techniques.

Objectives

Upon completion of this lesson, you should be able to:

  • Identify the similarities and differences between simple linear regression and advanced regression
  • Identify the appropriate application of factor analysis
  • Identify the similarities and differences between one-way ANOVA and repeated ANOVA
  • Identify violations of parametric techniques leading to the application of non-parametric techniques