* * * * PLEASE NOTE UNUSUAL LOCATION * * * *
SNEDECOR LECTURE
Statistical
Laboratory
Iowa State University
DATE AND TIME: Monday,
October 10, 2005, 4:10 p.m.
PLACE: 1213 Hoover
SPEAKER: Steve Portnoy, Department of Statistics,
University of Illinois, Champaign
TITLE: Regression
Quantiles: Reveling in the Charm of
Variety
ABSTRACT
Consider the ubiquitous problem of
analyzing a response, Y, in terms of one or more explanatory variables, x.
Since the early 19th century, this has been approached using the paradigm of
Gaussian errors: estimate the mean response as a function of x and summarize all
population variability in terms of a single standard deviation parameter.
However, the dangers of this approach have become increasingly clear in recent
past. Gaussian "least squares" methods are highly sensitive to rather
minor departures from distributional assumptions (for example, they fail
spectacularly in the presence of outliers). Perhaps more fundamentally,
they ignore important sources of population heterogeneity. More than 100 years
ago, Francis Galton suggested that the percentiles (or quantiles) of the
response provide a far more complete and satisfactory approach. For linear
statistical models, regression quantiles were introduced by Koenker and Bassett
in the late 1970's, and underwent an extensive development over the past thirty
years. A vast array of generalizations and complements are undergoing
active investigation today. The basic ideas will be presented using
historical examples, including work of Boscovich in 1755 that predated the
development of least squares methods. After reviewing the case of
traditional linear models, some recent work on generalizations will be presented
in terms of examples for censored survival
data.
COFFEE: 3:30 p.m., 104 Snedecor
Hall
Seminar schedules and abstracts are
available via WWW: http://www.stat.iastate.edu/
Jeanette La Grange
Department of Statistics
102
Snedecor
Iowa State University
Ames, IA 50010-1210
515 294-3440
(office)
515 294-4040 (fax)
http://www.stat.iastate.edu/directory/staff/jeanette.html