STATISTICAL LIMITS FOR DETECTING CHANGE IN THE CUMULATIVE SUM DERIVATIVE OF THE PERISTIMULUS TIME HISTOGRAM
STATISTICAL LIMITS FOR DETECTING CHANGE IN THE CUMULATIVE SUM DERIVATIVE OF THE PERISTIMULUS TIME HISTOGRAM
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DOI：
10.1016/0165-0270(86)90068-3
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发表时间：
1986-08-01
影响因子：
3
通讯作者：
STEIN, RB
中科院分区：
文献类型：
--
作者：
DAVEY, NJ;ELLAWAY, PH;STEIN, RB
刺激前时间直方图(PSTH)提供了一种将神经元的放电与其他事件相关联的方法。从psth导出的累积和(Cumum)有助于检测可能被计数中的随机波动所掩盖的psth中的微小变化。累积积分与psth中计数的平均控制水平的差值。数据中与刺激相关的任何信号都显示为累积中的斜率。从单个神经元的节律性放电中构建出来的S被证明包含了由不稳定引起的计数的周期性波动。这种周期性导致的最大值偏离水平线的程度小于从点的泊松分布预测的值。穗列越规则，即穗间距分布的变异系数越小，则越平坦。利用随机点过程理论，给出了求和值方差最佳逼近的一个算法。结果表明，在很大的变异系数范围内(0.09-0.60)，以3个标准偏差为标准差的最大有效限值为单位流量的最大有效限值。
The peristimulus time histogram (psth) provides a means of correlating the discharges of neurones with other events. The cumulative sum (cusum) derived from the psth facilitates the detection of small changes in the psth that may be obscured by random fluctuations in counts. The cusum integrates differences from the mean control level of counts in the psth. Any signal in the data that is related to the stimulus appears as a slope in the cusum. Psth''s constructed from the rhythmic discharges of single neurones are shown to contain periodical fluctuations in counts that arise from refractoriness. This periodicity results in a cusum which deviates less from the horizontal line than predicted from a Poisson distribution of points. The more regular the spike train, i.e., the lower the coefficient of variation of the distribution of interspike intervals, the flatter is the cusum. The theory of stochastic point processes is used to derive an algorithm for calculating the best approximation of variance of the cusum. Significance limits set at 3 standard deviations of the cusum are shown to provide a good it to cusums for unit discharges over a wide range of coefficients of variation (0.09-0.60).