Testing equality of two functions using BARS

Statistics in Medicine

Volumn 24, Issue 22, 2005, Pages 3523-3534

  Behseta, Sam ^a   Kass, Robert E ^b  

^a CALIFORNIA STATE UNIVERSITY   (United States)

^b CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Bayes factor; Curve fitting; Functional data analysis; Inhomogeneous Poisson process; Neuronal data analysis; Non parametric regression

Indexed keywords

ANIMAL EXPERIMENT; ARTICLE; BAYES THEOREM; BRAIN FUNCTION; CURVE FITTING; DATA ANALYSIS; INTERMETHOD COMPARISON; METHODOLOGY; MONKEY; MOTONEURON; MOTOR CORTEX; NEUROPHYSIOLOGY; NONHUMAN; POISSON DISTRIBUTION; REGRESSION ANALYSIS; SCREENING TEST; SIMULATION; TASK PERFORMANCE;

ANIMALS; BAYES THEOREM; BIOMETRY; DATA INTERPRETATION, STATISTICAL; HAPLORHINI; MOTOR CORTEX; NEUROPHYSIOLOGY; POISSON DISTRIBUTION; REGRESSION ANALYSIS; STATISTICS, NONPARAMETRIC;

EID: 21544442413     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/sim.2195     Document Type: Article

References (22)

1. DiMatteo I, Genovese CR, Kass RE. Bayesian curve fitting with free-knot splines. Biometrika 2001; 88: 1055-1073.
2. Behseta S, Kass RE, Wallstrom G. Hierarchical models for assessing variability among functions. Biometrika, in press.
3. Kass RE, Ventura V, Cai C. Statistical smoothing of neuronal data. NETWORK: Computation in Neural Systems 2003; 14:5-15.
4. Kass RE, Wallstrom G. Invited comment on 'Spline Adaptation in Extended Linear Models' by Mark H. Hansen and Charles Kooperberg. Statistical Science 2002; 17:24-29.
5. Kaufman CG, Ventura V, Kass RE. Spline-based nonparametric regression for periodic functions and its application to directional tuning of neurons. Statistics in Medicine, in press.
6. Wallstrom GL, Kass RE, Miller A, Cohn JF, Fox NA. Correction of ocular artifacts in the EEG using Bayesian adaptive regression splines. In Case Studies in Bayesian Statistics, vol. VI. Gatsonis C, Carriquiry A, Higdon D, Kass RE, Pauler D, Verdinelli I (eds). 2002, in press.
7. Zhang X, Roeder K, Wallstrom G, Devlin B. Integration of association statistics over genomic regions using Bayesian adaptive regression splines. Human Genomics 2003; 1:20-29.
8. Wallstrom GL, Kass RE, Liebner J. A portable C implementation of BARS with R and S wrappers. Journal of Statistical Software, accepted.
9. Fan J, Lin S. Test of significance when data are curves. Journal of the American Statistical Association 1998; 93:1007-1021.
10. Neumeyer N, Dette H. Nonparametric comparison of regression curves: an empirical process approach. Annals of Statistics 2003; 31:880-920.
11. Hansen MH, Kooperberg C. Spline adaptation in extended linear models. Statistical Science (with discussion) 2002; 17:2-51.
12. Kakei S, Hoffman DS, Strick PL. Muscle and movement representation in the primary motor cortex. Science 2001; 285:2136-2139.
13. Kass RE, Raftery AE. Bayes factors. Journal of the American Statistical Association 1995; 90:773-795.
14. Denison D, Mallick B, Smith A. Automatic Bayesian curve fitting. Journal of the Royal Statistical Society, Series B 1998; 60:333-350.
15. Green PJ. Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika 1995; 82:711-732.
16. Liu JS, Wong WH, Kong A. Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes. Biometrika 1994; 81:27-40.
17. Kass RE, Wasserman LA. A reference Bayesian test for nested hypotheses and its relationship to the Schwarz criterion. Journal of the American Statistical Association 1995; 90:928-934.
18. Pauler DK. The Schwarz criterion and related methods for normal linear models. Biometrika 2001; 85:13-27.
19. Matsuzaka Y, Picard N, Strick PL. Sequence learning in monkeys. Society for Neuroscience Abstracts 2001; 24:174.
20. Behseta S. Bayesian multiple curve fitting in the analysis of neuronal data. Ph.D. Thesis, Carnegie Mellon University, 2003.
21. Behseta S, Matsuzaka Y, Picard N, Kass RE, Strick PL. Muscle-like activity of M1 neurons during multi-joint movements. Society for Neuroscience Abstracts 2002; 61.13.
22. Ventura V, Carta R, Kass RE, Gettner SN, Olson CR. Statistical analysis of temporal evolution in single-neuron firing rates. Biostatistics 2002; 3:1-23.