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行为与神经时间序列的条件随机化检验AI 解读

Randomization tests allow simple and unambiguous tests of null hypotheses, by comparing observed data to a null ensemble in which experimentally-controlled variables are randomly resampled. In behavioral and neuroscience experiments, however, the stimuli presented often depend on the subject's previous actions, so simple randomization tests are not possible. We describe how conditional randomization can be used to perform exact hypothesis tests in this situation, and…

鞅 Z 检验AI 解读

We describe a statistical test for association of two autocorrelated time series, one of which generated randomly at each time point from a known but possibly history-dependent distribution. The null hypothesis is that at each time point, the two variables are independent, conditional on history until that time point. We define a test statistic that is a martingale under the null hypothesis and describe an asymptotic test for it based on the martingale central limit theorem.…