Statistical analysis and modeling of neural data Lecture 7 Bijan Pesaran 26 Sept, 2007.

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Presentation transcript:

Statistical analysis and modeling of neural data Lecture 7 Bijan Pesaran 26 Sept, 2007

Goals Recap – spectral analysis for point processes. Coherency/Partial coherency as linear measures of association. Time-rescaling theorem and model validation

Spectral analysis for point processes Regression for temporal sequences Naturally leads to measures of correlation Statistical properties of estimators well- behaved

Cross-spectral density

Spectral quantities

Coherence as linear association

Minimum value is: Where: Minimize wrt B(f): Substitute into loss:

Time lags in coherency

Partial coherence

Time-rescaling theorem Poisson with rate 1 History-dependent time rescaling

Kolmogorov-Smirnov Test Empirical distribution function Critical values of the Kolmogorov-Smirnov Distribution

Kolmogorov-Smirnov Test Test for deviation from uniform distribution Construct cumulative distribution function Rank vs (95% confidence)(99% confidence)