2011
DOI: 10.1162/neco_a_00157
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Firing Variability Is Higher than Deduced from the Empirical Coefficient of Variation

Abstract: A convenient and often used summary measure to quantify the firing variability in neurons is the coefficient of variation (CV), defined as the standard deviation divided by the mean. It is therefore important to find an estimator that gives reliable results from experimental data, that is, the estimator should be unbiased and have low estimation variance. When the CV is evaluated in the standard way (empirical standard deviation of interspike intervals divided by their average), then the estimator is biased, u… Show more

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Cited by 19 publications
(18 citation statements)
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“…The dependence of the Fano factor on the counting interval is also lost, meaning that unit activity is highly variable even at short time scales. This may be indicative of a simpler temporal structure of V1 activity under deeper anesthesia as well as of the gradual shift to lower frequencies with increasing inhibition, which may be general property of anesthesia (Erchova et al 2002).…”
Section: Discussionmentioning
confidence: 96%
See 1 more Smart Citation
“…The dependence of the Fano factor on the counting interval is also lost, meaning that unit activity is highly variable even at short time scales. This may be indicative of a simpler temporal structure of V1 activity under deeper anesthesia as well as of the gradual shift to lower frequencies with increasing inhibition, which may be general property of anesthesia (Erchova et al 2002).…”
Section: Discussionmentioning
confidence: 96%
“…Although various quantities, such as the coefficient of variation (Ditlevsen and Lansky 2011;Nawrot et al 2008), are used to characterize the variability of neural responses across trials, we applied the commonly used Fano factor, F(T), to assess the variability in spike trains (Churchland et al 2010). F(T) is the ratio of the variance to the mean of spike counts, n, calculated by binning the recorded spike trains into time intervals of length T, F(T) ϭ n 2 /ϽnϾ.…”
Section: Methodsmentioning
confidence: 99%
“…This bin range was delimited by the shortest and the longest ISI of all the recordings. Because the widely used parameter, the coefficient of variation, was reported as an underestimate of firing variability in some cases (Ditlevsen & Lansky, ), we calculated the Shannon‐entropy of ISI distribution as well (Huang et al . ).…”
Section: Methodsmentioning
confidence: 99%
“…The c v is most often estimated by the ratio of sample standard deviation to sample mean, however, the estimate may be considerably biased, [14].…”
Section: Methods Of Non-parametric Estimationmentioning
confidence: 99%