Limitations of correlation It is dimensional so its value depends on the units of measurement, number of events, binning. It is not bounded, so no value indicates perfect linear relationship. Statistical analysis assumes independent bins
Scaled correlation This has no formal statistical interpretation!
Corrections to simple correlation Covariations from response dynamics Covariations from response latency Covariations from response amplitude
Response dynamics Shuffle corrected or shift predictor
Non-stationarity Assume moments of the distribution constant over time. Simplest solution is to assume stationarity is local in time Moving window analysis