Sean G. Carver's Research Interests
From Sean_Carver
Much of my current research involves projects related to the statistical analysis of models using simulated data.
- These projects involve, among other things, computing the number of samples needed to reject an alternative model with the likelihood ratio test, in favor of a true model that produces the data.
- Baseball: how many innings must be played by model of the Baltimore Orioles (fitted from actual Orioles home games) to reject the model that the New York Yankees are playing. This statistic provides an interpretable way of quantifying the similarity of models.
- Student collaborator (just graduated) Rebeca Berger.
- Motor Control: specifically continuation tapping. In an effort to perform system identification of the internal clock for motor control, we found that the inter-tap intervals are fit equally well by Normal and Inverse Gaussian distributions, both were better than the Laplace distribution. Contrary to this finding, the only relevant study in the literature we discovered, a review paper, reported that inter-tap intervals have Laplace distribution. I am working with Daniel Scanlan to explore through simulations, when models of continuation tapping produce data that fit the Inverse Gaussian/Normal distributions (these two are almost identical at our parameters) and when they produce data that fit the Laplacian distribution.
- Student Collaborators: (current) Daniel Scanlan, (former) Wasim Ashshowaf, and (former) Alexander Spinos
- Ion Channels in Neuroscience: Ion channels provide much of the molecular basis for neural signaling. Models of ion channels are continuous time Markov chains with hidden states, far more complicated than any of the applications above
