Winter 2006
Fundamentals of Elementary Quantitative Analysis: Back to Basics
Carol S. Aneshensel
University of California,
Los Angeles
December, 1998
©
The first four of the following essays are intended
as a review of elementary aspects of basic quantitative data analysis.
I assume readers have taken statistics courses covering univariate and
bivariate analysis; this discussion is not an introduction to these methods.
Instead, it reviews this basic material to correct some misconceptions
that students frequently seem to have after taking such courses, misconceptions
that interfere with their understanding of more advanced methods of analysis,
that is, multivariate statistical techniques. These essays are an
accumulation of responses to questions that have arisen in throughout the
life of this course on the practical application of multivariate data analysis.
These questions have come from bright students who have mastered the various
statistics courses required for their doctoral training, including much
more advanced techniques. These essays, then, are Aneshensel's remedy
for statistics as it is usually taught or not.
Two additional chapters concerning multiple linear
regression and logistic regression are also included as a basic review
of the practical application of multivariate statistics.
The Basics:
The
Person - Variable Matrix
Univariate Analysis: Central
Tendency, Spread and Associations
Measurement: Reliability,
Validity, and Associations
Bivariate Analysis: Estimating
Associations
The Next Level:
Multiple Linear Regression
Logistic Regression