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Robert Krafty, PhD

Associate Professor, Biostatistics


7125 Public Health, 130 DeSoto St, Pittsburgh, PA 15261
R-znvy: exensgl@cvgg.rqh
Primary Phone: 967-179-7967

Personal Statement

My research  (i) develops statistical methods for the analysis of time series, longitudinal, signal, and functional data from modern experimental and observational studies and (ii) advances the study of health through transdisciplinary collaborations that elucidate complex scientific mechanisms.  I explore both time domain and frequency domain approaches for analyzing data such as heart rate variability (HRV), EEG, fMRI, ecological momentary assessments (EMA), and registration and surveillance databases. 

My current collaborative and transdisciplinary work involves questions
from sleep medicine, psychiatry,  neuroscience, health economics, and
public health.  


2007 | University of Pennsylvania | PhD in Biostatistics
2002 | University of Pennsylvania | MA in Mathematics
2000 | SUNY at Stony Brook | BS in Mathematics and Dance

Selected Publications

A full list of publications can be found on my CV.
* Indicates that the first author is a student under my supervision and that the work is part of his/her dissertation.


*Li, Z. and Krafty, R. T.  (2018) “Adaptive Bayesian Time-Frequency Analysis of Multivariate Time Series.” Journal of American Statistical Association. In Press.   [R and Matlab Programs]

*Bruce, S. A.,  Hall, M. H., Buysse, D. J. and Krafty, R. T. (2018) “Conditional Adaptive Bayesian Spectral Analysis of Nonstationary Biomedical Time Series.” Biometrics. In Press.   [Matlab Program]

Krafty, R. T., Rosen, O., Stoffer, D. S., Buysse, D. J. and Hall, M. H. (2017) “Conditional Spectral Analysis of Replicated Multiple Time Series with Application to Nocturnal Physiology.” Journal of American Statistical Association. 112(520): 1405-1416.   [Matlab Program]

Krafty, R. T. (2016) “Discriminant Analysis of Time Series in the Presence of Within-Group Spectral Variability.” Journal of Time Series Analysis. 37: 435-450.   [R Package]


Krafty, R. T. and Collinge, W. O. (2013) “Penalized Multivariate Whittle Likelihood for Power Spectrum Estimation.”   Biometrika. 100: 447-458.  [Matlab Program]

Krafty, R. T., Hall, M. and Guo, W. (2011) “Functional Mixed Effects Spectral Analysis.”   Biometrika98: 583-598. 


Brindle, R., Cribbet, M., Samuelsson, L., Gao, C., Frank, E., Krafty, R. T., Thayer, J., Buysse, D. J. and Hall, M. H.  (2018) “The Relationship between Childhood Trauma and Poor Sleep Health in Adulthood.” Psychosomatic Medicine. 80(2): 200-207.


Hall, M. H, Mulukutla, S., Kline, C., Samuelsson, L. B., Taylor, B., Krafty, R. T., Thayer, J., Frank, E. and Kupfer, F.  (2017) “Objective Sleep Duration is Prospectively Associated with Endothelial Health.” Sleep. 40(1): 1-9. 

Mauer, L. A., Bass, S. B., Ye, D., Benitez, J., Mazzella, S. and Krafty, R. T. (2016) “
Trend Analysis of Users of a Syringe Exchange Program in Philadelphia, Pennsylvania: 1999-2014.” AIDS and Behavior. 20: 2922-2932. 

*Rothenberger, S. D., Krafty, R. T., Milligan, B., Buysse, D. J., Thayer, J. F., Kravitz, H. M., Buysse, E. D. and Hall, M. H. (2015) "Time-Varying Correlations between Slow Wave Sleep and Heart Rate Variability in Midlife Women: The SWAN Sleep Study.” Psychophysiology. 52: 572-584.

Hall, M. H, Casement, M. D., Troxel, W. M., Matthews, K. A., Bromberger, J., Kravitz, H. M., Krafty, R. T., and Buysse, D. J. (2015) “
Chronic Stress is Prospectively Associated with Sleep in Midlife Women: The SWAN Sleep Study.” Sleep. 38: 2922-2932.

Okun, M. L, Krafty, R. T., Buysse, D. J., Monk, T. H., Reynolds, C. F., Begley, A., Hall, M. H. (2010) "What Constitutes Too Long of a Delay?  Determining the Cortisol Awakening Response (CAR) Using Self-Report and PSG-Assessed Wake Time.” Psychoneuroendocrinology. 35: 460-468.

Robert  Krafty
© 2018 by University of Pittsburgh Graduate School of Public Health

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