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The unbiased estimation of the fraction of variance explained by a model

Fig 1

Sampling noise confounds estimation of the correlation between model prediction and neuronal tuning curve.

The expected (true) spike counts in response to a set of 10 stimuli (solid green points) is perfectly correlated with a model (red points), yet owing to sampling error (neural trial-to-trial variability) the estimated tuning curve (green open circles) has correlation less than one with the model ().

Fig 1

doi: https://doi.org/10.1371/journal.pcbi.1009212.g001