Patches Johnson
Department of Statistics
University of Florida
Non-Linear Path Models with Continuous and Discrete Variables
Path models and their analyses are well-developed for linear systems of
equations with continuous variables. However, literature and methodology are
very scarce for recursive path systems that include discrete or dichotomous
variables, or non-linear equations. My talk will focus on the development of
methodology to analyze these types of systems.
In particular, methodology to analyze systems of three variables when all
variables are dichotomous will be shown. Extensions to systems of more than
three variables. Methodology to study systems with non-linear functions will
also be discussed.
These path models are very useful in a variety of applications. Two
applications of interest to be discussed include:
1) Maternal and Child Health Care- studying the relationships between race
(discrete), low birth weight (intermediate continuous variable) and infant
mortality (dichotomous outcome variable).
2) Clinical Trials - relationships between treatment (continuous or
discrete), blood pressure (continuous "potential surrogate" variable for
long-term outcome) and ultimate outcome variable (stroke - dichotomous).
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