24/10/2014
KU Mathematics Research seminar:
Wednesday 29 October 2014, 13:00-14:00
Penrhyn road, Kingston upon Thames
Room JG2010
Dr. Nigel Ling: Hierarchical regression model tests
Abstract:
Several disciplines study situations in which experiments are naturally organised in a hierarchy. In zoology, subjects are necessarily confined to enclosures – rats in a cage, fish in a pond, etc. Similarly studies of children in schools, or patients in hospital, for example, will often fall into groupings based on location, teacher, doctor, or some other attribute. Hierarchical analysis of variance can be used to study dependent variables at the conclusion of an experiment, but for those designs that wish to compare a relationship with some quantitative independent variable – changes over time for instance – there is no test for dependence. Usually the group values of the dependent variable are tested for observations made at the conclusion of the experiment, a procedure that not only discards information but may also lead to a false result. This work develops a formula for F with which to test the difference between slopes in a hierarchical regression.
ALL WELCOME