Lesson plan
Fano factor
In statistics, the Fano factor, like the coefficient of variation, is a measure of the dispersion of a counting process. It was originally used to measure the Fano noise in ion detectors. It is named after Ugo Fano, an Italian-American physicist. The Fano factor after a time t is defined as : F(t)=\frac{\sigma_t^2}{\mu_t}, where \sigma_t is the standard deviation and \mu_t is the mean number of events of a counting process after some time t . The Fano factor can be viewed as a kind of noise-to-signal ratio; it is a measure of the reliability with which the waiting time random variable can be estimated after several random events. For a Poisson counting process, the variance in the count equals the mean count, so F=1 .
Article summary
In statistics, the Fano factor, like the coefficient of variation, is a measure of the dispersion of a counting process. It was originally used to measure the Fano noise in ion detectors. It is named after Ugo Fano, an Italian-American physicist. The Fano factor after a time t is defined as : F(t)=\frac{\sigma_t^2}{\mu_t}, where \sigma_t is the standard deviation and \mu_t is the mean number of events of a counting process after some time t . The Fano factor can be viewed as a kind of noise-to-signal ratio; it is a measure of the reliability with which the waiting time random variable can be estimated after several random events. For a Poisson counting process, the variance in the count equals the mean count, so F=1 .
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
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