Research

November 23rd, 2011

Research and Bibliography

Research

Statement

My research interests are in the application and development of statistical methods for biology, ecology, and public health. I have the most fun as part of multidisciplinary collaborations for the opportunity to contribute and learn in a cooperative environment. Current work includes Bayesian methods for stable isotope sourcing (SISUS) and a variety of other stable isotope collaborations, as well as models for fMRI as a postdoc at the Mind Research Network in Albuquerque.

Interests

  • Group and semi-blind independent component analysis (sbICA).
  • Applications to biology and ecology, especially using stable isotopes.
  • Hierarchical Bayesian methods, computational statistics.
  • Biostatistics, statistical genetics, phylogenetics, clinical trials.
  • Quality, experimental design, and process optimization.

Full Bibliography

Peer Reviewed Journal Articles

  1. [PRJA1] B Nandram and EB Erhardt. Fitting bayesian two-stage generalized linear models using random samples via the sir algorithm. Sankhya, 66(4):733–755, May 2005. (pdf)
  2. [PRJA2] CP Bickford, NG Mcdowell, EB Erhardt, HH Powers, and DT Hanson. High frequency field measurements of diurnal carbon isotope discrimination and internal conductance in a semi-arid species, juniperus monosperma. Plant, Cell & Environment, 32(7):796–810, 2009. (online)
  3. [PRJA3] S Grufferman, F Ruymann, S Ognjanovic, EB Erhardt, and HM Maurer. Prenatal X-ray exposure and rhabdomyosarcoma in children: A report from the childrens oncology group. Cancer Epidemiology Biomarkers & Prevention, 18(4):OF1–6, 2009. (online)
  4. [PRJA4] L Goode, EB Erhardt, L Santiago, and M Allen. δ13C of soluble sugars in Tillandsia epiphytes vary in response to shifts in habitat. Oecologia, 163(3): 583–590, 2010. (online)
  5. [PRJA5] EB Erhardt, S Rachakonda, EJ Bedrick, E Allen, T Adali, and VD Calhoun. Comparison of multi-subject ICA methods for analysis of fMRI data. Human Brain Mapping, In press 2010.
  6. [PRJA6] E.A. Allen, E.B. Erhardt, E. Damaraju, W. Gruner, J.M. Segall, R.F. Silva, M. Havlicek, S. Rachakonda, J. Fries, R. Kalyanam, A.M. Michael, A. Caprihan, J.A. Turner, T. Eichele, S. Adelsheim, A. Bryan, J. Bustillo, V.P. Clark, S. Feldstein Ewing, F. Filbey, C. Ford, K. Hutchison, R.E. Jung, K.A. Kiehl, P. Kodituwakku, Y. Komesu, A.R. Mayer, G. Pearlson, J. Phillips, J. Sadek, M. Stevens, U. Teuscher, R.J. Thoma, and V.D. Calhoun. A baseline for the multivariate comparison of resting state networks. Frontiers in Systems Neuroscience, In press 2010.

Other Journal Articles

  1. [OJA1] EB Erhardt. Designing a better paper helicopter using response surface methodology. STATS, 48:14–21, 2007. Cover feature & webinar. (STATS web version, pdf of web version)  Webinar, recorded Oct 23, 2007 (60 minutes running time). To view, WebEx Recorder and Player (.wrf).

Book Chapters/Reviews

  1. [BCR1] E Nonaka and EB Erhardt. Biology Lab Manual, chapter Basic statistical methods for biology, page Appendix. UNM Department of Biology, 2006.
  2. [BCR2] JA Railey, L Lundquist, L Jia, and EB Erhardt. Data Recovery at Five Archaeological Sites Along US 491, North of Sheep Springs, San Juan County, New Mexico, chapter 8, Lithic Artifacts. SWCA, 2007. NMDOT Project No. FLH-666-1(49)17. SWCA Project No. 10775. SWCA Report No. 2007-93.
  3. [BCR3] JA Railey and EB Erhardt. Lithic Studies, volume 11, chapter Analysis of Projectile Points, pages 145–188. SWCA Environmental Consultants, animas-la plata project edition, 2009. SWCA Anthropological Research Paper Number 10, Phoenix.

Conference Publications

  1. [CP1] EB Erhardt, S Rachakonda, EJ Bedrick, T Adali, and VD Calhoun. Comparison
    of multi-subject ICA methods for analysis of fMRI data. Organization for Human
    Brain Mapping, 2010.
  2. [CP2] DT Pater, EB Erhardt, and DT Hanson. Isotopic signature of photorespiration.
    In Joint Annual Meetings of the American Society of Plant Biologists and the
    Canadian Society of Plant Physiologists, Montreal, CA, August 2010.
  3. [CP3] DT Pater, EB Erhardt, and DT Hanson. Photorespiratory and respiratory carbon
    isotope fractionation in leaves. In Proceedings of the Biophysical Society 55th
    Annual Meeting, Baltimore, MD, Mar 2010. Biophysical Society.

Other

  1. [O1] EB Erhardt. The borromean rings. BA thesis, mathematics, Franklin Pierce College, Rindge, NH, USA, May 1997. Advisor: CT Brezovec, PhD. (pdf)
  2. [O2] EB Erhardt. NonParametric Statistics Toolbox. Software, Mathworks File Exchange Matlab toolbox, 2003.
  3. [O3] EB Erhardt. Bayesian simultaneous intervals for small areas: An application to mapping mortality rates in us health service areas. MS thesis, applied statistics, Worcester Polytechnic Institute, Worcester, MA, USA, Dec 2003. Advisor: Balgobin Nandram, PhD. (pdf) e (page)
  4. [O4] HL Paulsen, JA Sandoval, and EB Erhardt. Feasibility study and course fee policy reform recommendations to provide revenue for the department of biology’s teaching operations. Technical report, UNM Department of Biology, 2006. (pdf)
  5. [O5] EB Erhardt. Stable Isotope Sourcing using Sampling. Software, CRAN R package “sisus”, 2007.
  6. [O6] EB Erhardt. Stable Isotope Sourcing using Sampling. PhD dissertation, University of New Mexico, Albuquerque, NM, USA, August 2009. Advisor: Edward J Bedrick, PhD.

Submitted, Under Review

  1. [SUR1] E. Erhardt and E. Bedrick. Bayesian inference for stable isotope mixing models. (journal), In review, 2010.
  2. [SUR2] E Allen, EB Erhardt, S Rachakonda, T Eichele, AR Mayer, and VD Calhoun. Comparison of pre-normalization methods on the accuracy and reliability of group ICA results. (journal), In review, 2010.
  3. [SUR3] EB Erhardt, BO Wolf, and EJ Bedrick. Stable Isotope Sourcing using Sampling. (journal), In review, 2010.

Presentations at Conferences and University Colloquia

Talks

  1. Jun 6 — 7, 1997 [O1]. “The borromean rings”.
    Northeastern Section of the Mathematical Association of America.
    Spring Meeting, Student Paper Session, Presenting BA Thesis, Merrimack College, MA.
  2. Aug 15, 2003 [O3]. “Bayesian simultaneous intervals for small areas: An application to mapping mortality rates in US health service areas”.
    National Center for Health Statistics.
  3. Nov 24, 2004 [O3]. “Bayesian simultaneous intervals . . . ”.
    WPI Mathematics Department Colloquia.
  4. Apr 24, 2004 [O3]. “Bayesian simultaneous intervals . . . ”.
    The Eighteenth New England Statistics Symposium. (slides: pdf)
    Contributed paper at Harvard University, Department of Statistics.
  5. Aug 9, 2006 [O3]. “Bayesian simultaneous intervals . . . ”.
    2006 Joint Statistical Meetings.
    Contributed paper in Section on Health Policy Statistics. (slides: pdf)
  6. Nov 7, 2006 [OJA1]. “Designing a better paper helicopter using response surface methodology”.
    UNM, Dept of Math and Stat, Graduate Colloquium.
    Contributed Paper. (fulltext version: pdf) (slides: pdf), November 07, 2006.
  7. Jun 17, 2008 [O5]. “Stable Isotope Sourcing using Sampling”.
    SIRFER Stable Isotopes in Ecology Course, Jim Ehleringer’s lab at Univ Utah.
    The only student talk.
  8. Sep 18 — 20, 2008 [O5]. “Stable Isotope Sourcing using Sampling”.
    HHMI-NIBIB Interfaces Initiative for Interdisciplinary Graduate Research Training
    Meeting, Chevy Chase, MD.
  9. Nov 17, 2008 [O5]. “Stable Isotope Sourcing using Sampling”.
    UNM PNMGC New Visions Research Presentations.
    Contributed Graduate Talk.
  10. Dec 15 — 19, 2008 [PRJA2] “High frequency field measurements of diurnal carbon isotope discrimination and internal conductance in a semi-arid species, Juniperus monosperma”.
    AGU Fall Meeting in San Francisco, California.
    Oral Presentation: B21E-03, by Christopher Bickford.
  11. Apr 8, 2009 [O5]. “Stable Isotope Sourcing using Sampling”.
    MIALab lab meeting, MIND institute, Albuquerque, NM.
  12. Aug 2, 2009 [O6]. “Stable Isotope Sourcing using Sampling”.
    2009 Joint Statistical Meetings.
    Contributed paper.
  13. Aug 12, 2009 [O6]. “Stable Isotope Sourcing using Sampling”.
    UNM Mathematics and Statistics Department.
    Dissertation Defense.
  14. Jul 31 — Aug 4, 2010 [CP2] “Isotopic Signature of Photorespiration”.
    Joint Annual Meetings of the American Society of Plant Biologists and the
    Canadian Society of Plant Physiologists, Montreal, CA.
    Contributed talk: P15036, by Dianne T. Pater.
  15. Nov 18, 2011 “Statistical consulting/collaboration, starting the conversation among our students”. UNM Statistics colloquia. Contributed talk: Erik B. Erhardt.

Posters

  1. Apr 13, 2007 [O5]. “Stable Isotope Sourcing using Sampling”.
    UNM, Dept of Biology, 16th Annual Research Day.
    Contributed Graduate Poster. First place. (certificate)
  2. Jun 7–8, 2010 [CP1]. “Comparison of multi-subject ICA methods for analysis of fMRI data”.
    16th Annual Meeting of the Organization for Human Brain Mapping. Barcelona,
    Spain.
    Contributed poster.
  3. Jul 31 — Aug 4, 2010 [CP2] “Isotopic Signature of Photorespiration”.
    Joint Annual Meetings of the American Society of Plant Biologists and the
    Canadian Society of Plant Physiologists, Montreal, CA.
    Contributed poster: P15036, by Dianne T. Pater.
  4. Mar 5 — Mar 9, 2011 [CP3]. “Photorespiratory and respiratory carbon isotope fractionation in leaves”.
    Biophysical Society 55th Annual Meeting, Baltimore, MD, Mar 2011.
    Contributed poster: 11-A-3727-BPS, by Dianne T. Pater.
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