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Motivation
It’s well known that the neurons are noisy signal transmitter, but to measure how noisy they are we need some statistics to do so.
Classic SNR Definition
SNR is typically defined in a linear Gaussian system.
Literally SNR is
$$ SNR ={\sigma_{signal}^2\over\sigma_{noise}^2} $$SNR for Point Process
Maximum likelihood estimate of the linear coefficients is the same as minimizing residue Deviance. (c.f. minimizing squared residue in Gaussian linear model.)
Connection to Common Statistics
F Statistics
In ANOVA, F statistics is used to test if the variables are significantly modulating the response.
