Carnegie Mellon VIGRE in Statistics

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VIGRE Research Groups

The real strength of the VIGRE Program in Statistics at Carnegie Mellon is in the many vertically integrated, interdisciplinary research groups in our department.

These groups attract funding from the National Science Foundation, National Institutes of Health, Census Bureau, Institutes of Educational Research, etc., to provide support for VIGRE postdoctoral fellows, graduate fellows, and undergraduate research projects.  Ideally these groups involve all four levels of statistics researchers at once: faculty, postdoctoral fellows, graduate students and undergraduates, so that mentoring and apprenticeship is not just a relationship with the senior faculty but happens within and between groups of trainees as well.

Here are some examples of ongoing and recent projects that support VIGRE trainees in our department.  Note: Although they are not listed, each project also involves the active participation of faculty and students in other departments and disciplines.

Adolescents at Risk for Substance Use Disorders.

This project is using fMRI to study differences in neurodisinhibition of adolescents at risk for SUD.  The subjects are part of a large longitudinal case-control neurocognitive study of the etiology of SUD. A subset of the large study are part of this longitudinal imaging study.

  • Facutly Contact:  Bill Eddy
  • VIGRE Undegrads: Allison Converse (CMU Mathematics), Robyn Lindsey (CMU Economics), Jessica McGillen (CMU Sciences and Humanities Scholars)

Affymetrix Microarray Analysis.

This project is studying the laser scanned images produced by
Affymetrix to use as input for their spot finding and quantification
software.  We are developing methods for finding the spots without
searching and we are developin
g methods for direct quantification.

  • Faculty Contact: Bill Eddy
  • VIGRE Graduate Student:  Jeffrey Palmer
  • VIGRE Undergrads: Anthony Pileggi (CMU Statistics)

Assistments.

R&D project to develop computer-based tutors for middle school mathematics that assess students' progress toward end-of-year accountability standards while helping students learn.

  • Faculty Contact: Brian Junker
  • VIGRE Postdocs: Rebecca Nugent
  • VIGRE Graduate Students: Beth Ayers, Charles Lee, Daniel Ting
  • VIGRE Undergrads: Eric Monti (CMU Mathematics & Statistics), Nathaniel Anozie, Preeti Farooque (CMU Mathematics), Dan Burrows (CMU ECE), Nora Albert (CMU Statistics), Dan Hudson (CMU Mathematics), Eugene Gaysinsky (CMU Statistics), Harshal Banthia (CMU SDS), Ripta Pasay (CMU Information Systems), Eileen Tucker (CMU Mathematics)

Astrostatistics.

This is a wide-ranging project involving statisticians, astrophysicists, and computer scientists.  The goal is to develop statistical methods for analyzing large, astrophysics data sets.

  • Faculty Contacts: Chris Genovese, Larry Wasserman
  • VIGRE Postdocs: Chad Schafer, Julie McIntyre
  • VIGRE Grad Students: Joey Richards

Bayesian Shrinkage Estimation in Spiral MRI.

This project is developing a reduced mean-square error method of reconstructing MR images collected with a spiral pulse sequence.  A novel feature is that the Bayesian model includes an autoregressive component.

  • Faculty Contact: Bill Eddy
  • VIGRE Postdoc:  Vera Bulaevskaya

cDNA microarray analysis.

This project is focused on identifying and removing sources of
systematic variation in cDNA microarray data.  The model that has been developed by the group contains terms reflecting the pins used to manufacture the chips, terms reflecting the well plates used to hold the genetic material during manufacture of the chips, and terms reflecting the spatial layout of the spots on the chips.

  • Faculty Contact: Bill Eddy
  • VIGRE Postdoc: Kim Sellers

Combining Information in Biostatistics.

This project is concerned with issues and methods related to combining information from diverse, complementary studies e.g., randomized controlled clinical trials, epidemiologic studies, survey data.

  • Faculty Contacts: Howard Seltman and Joel Greenhouse
  • VIGRE Graduate Students:  Eloise Kaizar, Charles Lee, Gary Klein 
  • VIGRE Undergrads: Amanda Artis (Lincoln University , Mathematics; Michael Turner (Clark Atlanta Univ.,  Mathematics); Erin Bradley (Spelman College); Ayanna Byrd (Xavier College); Timesa Hoover (Grambling State College); Naseya Minor (Alabama A\&M Univ.), Eni Njoh (Univ. of Florida), Shantae Perkins (Virginia State), Morgan Williams (Morehouse College), Ashley Mackel (Spelman College), Cecily Montgomery (Howard Univ), Johnetta Toodle (Clark Atlanta Univ), Victoria White-Mason (Spellman College)

Differential Gel Electrophoresis.

This project is developing a method for identifying and quantifying different protein spots on two-dimensional gel pairs.  We have developed a model which accounts for a large amount of the systematic variation in the image pairs.  We are currently developing a method for locating and quantifying the spot differences.

  • Faculty Contact: Bill Eddy
  • VIGRE Postdoc:  Kim Sellers
  • VIGRE Undergrad: Elan Cohen

Emotional Regulation in Childhood Depression

This project involves analysis of data from a multi-investigator project on markers of childhood depression.

  • Faculty Contact: Rob Kass
  • VIGRE Postdoc:  Jong Soo Lee

Image Registration Using Mutual Information.

This project is developing a three-dimensional rigid body image
registration method base on mutual information.  Because
histogram-based estimates of mutual information are notoriously bad we are developing a kernel density estimator based method.

  • Faculty Contact: Bill Eddy
  • VIGRE Undergraduates: Margaret Carr (Williams College), Christopher Hefferan (CMU Physics)

Instructional Quality Assessment.

Development and testing of rating scales for observing instruction at
the elementary, middle and high school levels.

  • Faculty Contact: Brian Junker
  • VIGRE Undergradauates: Yanna Weisberg (CMU Psychology); Alison Peebles (CMU Statistics)

Methodology for the National Long Term Care Survey.

Activities in the Statistics Department at Carnegie Mellon related to
work on hierarchical Bayesian mixed membership models, models for longitudinal profiles, confidentiality of survey data, and the role of
survey weights.

  • Faculty Contact: Steve Fienberg
  • VIGRE Postdoc:  Tanzy Love;
  • VIGRE Graduate Student: Marianne Bertolet
  • VIGRE Undergraduates: Kirk Higgins (CMU Mathematics)

Network Learning Group.

The group focuses on probabilistic methods for network analysis, paying special attention to model design and computational issues of learning and inference. We are bringing together statistical network modeling researchers from different communities---statistics, computer science, physics, sociology, psychology, public policy, etc.-- thereby fostering collaborations and intellectual exchange. Our hope is that this will result in novel modeling approaches, diverse applications, and new research directions. 

  • Faculty Contact: Stephen Fienberg, Cosma Shalizi
  • VIGRE Postdoc: Tanzy Love
  • VIGRE Graduate Student: Susan Buchman

Neuroimaging.

Project goal is to improve neuroimaging methodology, especially by attemping to remove artifacts of voluntary and involuntary motions of the subject in live human and animal subjects.

  • Faculty Contact: Bill Eddy 
  • VIGRE Grad Students: Gabrielle Fijas, Gary Klein, Charles Lee

Neurostatistics.

This project focuses on the development of statistical methods for analyzing neurophysiological data.

  • Faculty Contact: Rob Kass & Valerie Ventura 
  • VIGRE Postdocs: Matt Harrison 
  • VIGRE Grad Students: Elan Cohen, Jeff Liebner 
  • VIGRE Undergrads: Joseph Arizpe (CarnegieMellon Psychology); Anthony Pileggi (Carnegie Mellon Statistics), Dan Burrows (CMU ECE)

NISS Digital Government II Project.

Activities in the Statistics Department at Carnegie Mellon related to the Digital Government II Project centered at the National Institute for Statistical Sciences (NISS), a large-scale, cross-disciplinary research and development effort focusing on three interacting challenges driven by the release and use of large-scale government data bases: data confidentiality, data quality and data integration.

  • Faculty Contact: Stephen Fienberg
  • VIGRE Postdocs: Max Buot, Julie McIntyre
  • VIGRE Grad Students: Daniel Ting, William Fulp
  • VIGRE Undergrads: David Hurley (CMU Computer Science)

Statistical Analysis of Neuronal Data.

Development of statistical methods for assessing covariation  among multiple neurons recorded simultaneously from a behaving animal, and for assessing covariation between a single motor cortical neuron and a corresponding muscle group.

  • Faculty Contacts: Anthony Brockwell, Robert Kass, Valerie Ventura
  • VIGRE Postdoc: Vera Bulaevskaya
  • VIGRE Grad Students: Cari Kaufman, Jeffrey Liebner

Statistics and the Law.

Various applications of statistics in legal issues, including wrongful
conviction in capital punishment.

  • Faculty Contacts: Steve Fienberg
  • VIGRE Grad Students: Cassandra King

Sports Related Concussion.

This project is part of a large prospective longitudinal case-control study of the effects of mild concussion on athletes.  Many tens of thousands of high school athletes take a neurocognitive test before the sports season.  An injured athlete repeats the test and also undergoes functional MRI testing.  After symptoms return to normal as determined by lack of symptoms and neurocognitive test scores, the fMRI is repeated. 

  • Faculty Contact: Bill Eddy
  • VIGRE Undergrads: Michelle Korenblit (CMU Psychology)

The Study of Magnetoencephalography (MEG).

This project involves using MEGs to study the differences between “normal” individuals and concussed individuals. We would like to see if we can find a neurological difference when putting them through the same task (in this case, an n-back recall situation).

  • Faculty Contact: Bill Eddy
  • VIGRE Undergrads: Rachel Szewczy (CMU Statistics)

Two-photon Laser Scanning Microscopy.

This project is developing methods to account for the effects of the cardiac cycle on the images that are collected.  The biological problem is to learn about the development of ocular dominance columns in the neonatal ferret.  The images are collected in vivo.  There are typical five or more heartbeats during the collection of one slice creating movement on the scale of ten pixels or so.

  • Faculty Contact: Bill Eddy
  • VIGRE Postdoc: Julie McIntyre
  • VIGRE Undergraduate: Daniel Smith (CMU Biological Sciences)

Vestibular Ocular Reflex in Rats.

This project is attempting to automatically identify labeled neurons
in microscopic images of the vestibular system of rats.  The plan is
to spatially normalize the images of different animals so we can
compare the spatial probability distribution of the labeled neurons.

  • Faculty Contact: Bill Eddy
  • VIGRE Graduate Students: Elan Cohen and Diana Luca
  • VIGRE Undergraduates: Scott Schwartz (Trinity University)

Weekend Volatility Effects.

The goal of this project was to examine financial time series (daily
closing prices of shares), to understand what features are captured by standard GARCH models, and to examine whether or not variance of Friday-Monday log-returns differs significantly from variances of weekday log-returns, and thus what kind of modifications to standard GARCH models might be helpful.

  • Faculty Contact: Anthony Brockwell
  • VIGRE Undergraduates: Jacqueline Xu (CMU, Electrical and Computer Engineering)