Associate Professor of Statistics
Swarthmore College




Research


Statistical methods in invertebrate paleontology

Mass extinctions and the Signor-Lipps effect. When a collection of taxa (e.g., species of dinosaurs or ammonites) are killed off simultaneously in a mass extinction, their last occurrences in the fossil record may nonetheless give the impression of a gradual extinction, due to the incompleteness of the fossil record (the Signor-Lipps effect). I develop methods for testing whether a mass (sudden) extincton has occurred, and for estimating the position and duration of such an extinction. I also study the related topic of placing confidence intervals on stratigraphic ranges, i.e., estimating the time of extinction of a taxon based on its fossil record.

Evolutionary trends. Large-scale trends in the history of life (such as increase in body size, a.k.a. "Cope's Rule") may be a result of driven mechanisms (e.g., selection) or passive mechanisms (e.g., diffusion away from a lower bound). Several tests have been developed to categorize a trend as either driven or passive, but real trends are likely to be a combination of both types. I have developed a new method, the Analysis of Skewness, to quantify the extent to which a trend is a combination of driven and passive trends. I also study trends in the maximum size attained by life on earth over time, and ways of displaying and characterizing large-scale trends.

Macroevolution. Using statistical analysis and paleontological databases, I study large-scale questions about the history of life. Sample questions include: (1) Are mass extinctions merely larger manifestations of processes responsible for background extinction, or are they a fundamentally different phenomenon? (2) How many kinds of dinosaurs ever lived, and were dinosaurs already declining before an impact at the end of the Cretaceous Period caused their ultimate extinction? (3) Are observed extinction rates in mass extinctions a reliable guide to the severity of the triggering mechanism? That is, does a higher extinction rate indicate a more severe cause, or can factors such as Simpson's paradox make such an inference misleading?

Dynamics of extinction in food webs. The end-Permian mass extinction was the most severe in the history of life, but its causes remain enigmatic. With Peter Roopnarine of the California Academy of Sciences and Ken Angielczyk of the Field Museum, I study the dynamics of extinction in terrestrial ecosystems during the Permian. Using models of Permian food webs, we explore how the extinction of primary producers (e.g. green plants) could have led to the collapse of terrestrial ecosystems. More generally, we study factors leading to stability or instability in ecosystems.


More information:   Publications   |   Media coverage   |   Talks   |   Lab members and collaborators


Funding from the following sources is gratefully acknowledged:
National Science Foundation
American Chemical Society Petroleum Research Fund
National Evolutionary Synthesis Center
Woodrow Wilson National Fellowship Foundation
Christian R. and Mary F. Lindback Foundation
NASA Space Grant program
Swarthmore College Research Fund

Opportunities for students: I may be hiring one or more summer student researchers in summer 2009. Please email me if you are interested. Due to grant restrictions, eligibility is limited to Swarthmore students. The preferred prerequisite is Stat 61, but some combination of Stat 11, Stat 31, Bio 2, computer programming, or other experience may suffice as well. Learn more about projects and publications by previous students.

Links:   Paleontology links   |   Statistics and Mathematics links


Other areas of interest:

Statistical graphics and visualization. I am interested in how to effectively visualize high-dimensional datasets using graphical methods such as parallel axis plots and data image plots, and more generally in principles of effective graphical representation and communication.

Statistical methods in baseball research, also known as sabermetrics. I am interested in the analysis of managerial strategies (featured in the New York Times and the Philadelphia Inquirer; also see here for additional media coverage). My MS paper was on a Markov Chain model for baseball lineups and player evaluation, with advisor Michael Stein. Read an interview with me on the growing use of statistical analysis in baseball.




Teaching


Courses at Swarthmore College
Stat 1: Statistical Thinking
Stat 11: Statistical Methods
Stat 31: Data Analysis and Visualization
Stat 61: Probability and Mathematical Statistics I
Stat 111: Probability and Mathematical Statistics II seminar

View information on my previous courses and course evaluations at Harvard, Williams, and The University of Chicago.

I was awarded the 2008 Waller Education Award from the American Statistical Association for innovation in the instruction of elementary statistics.

Requesting a letter of recommendation from me? Please read this page first.



Biographical info


Positions held
Associate Professor, 2008-; Assistant Professor 2002-2008: Swarthmore College, Department of Mathematics and Statistics, Swarthmore, PA
Lecturer, 1999-2002: Harvard University, Department of Statistics, Cambridge, MA
Visiting Assistant Professor, 1998-1999: Williams College, Department of Mathematics, Williamstown, MA
Instructor, 1996-1998: The University of Chicago, Department of Statistics, Chicago, IL
Programmer, 1992: Data Desk statistical software, Data Description, Inc., Ithaca, NY

Education
PhD, 1998; MS 1994: The University of Chicago, Department of Statistics, Chicago, IL
BS, 1992: Cornell University, Statistics and Biometry, Ithaca, NY
High school, 1988: Brighton High School, Rochester, NY


Personal
I participated in academic quiz competitions while I was a student at Cornell and Chicago. I captained the University of Chicago College Bowl team, the NAQT 1997 International Champions. I also played for the winning team (a three-man Cornell team) at the first ever Questions on the Crum tournament at Swarthmore in 1992.

I was a contestant on Jeopardy! in 1996. I was an alternate on Who Wants to be a Millionaire in 1999 but didn't appear on the show. I did get to meet Regis and John Carpenter (the first million-dollar winner, who was on my taping). Look for me in the audience!


Contact info


Fall 2008 Office Hours
Mondays, Wednesdays, Thursdays 3:00-4:30
or by appointment, or just pop in any time my door is open
Science Center 152

Internet
s c w a n g [at] s w a r t h m o r e [dot] e d u 
http://www.swarthmore.edu/NatSci/swang1

Address
Department of Mathematics and Statistics
Swarthmore College
500 College Ave
Swarthmore, PA, 19081

Phone
voice: (610) 690-5769
fax: (610) 690-6854



Last update: September 8, 2008