Kurtosis

That is data sets with high kurtosis tend to have heavy tails or outliers. Kurtosis is a measure of whether the data are heavy tailed or light tailed relative to a normal distribution. Data sets with low kurtosis tend to have light tails or lack of outliers.

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Kurtosis describes deviation from the normative pattern of diffusion.

Kurtosis. There are three types of kurtosis. Kurtosis is a measure of the combined weight of a distribution s tails relative to the center of the distribution. Kurtosis is a statistical measure that defines how heavily the tails of a distribution differ from the tails of a normal distribution. A distribution with negative excess kurtosis is called platykurtic or platykurtotic platy means broad.

This technique is useful for exploring different brain pathologies including mtbi. Why do we care. When a set of approximately normal data is graphed via a histogram it shows a. In other words kurtosis identifies whether the tails of a given distribution contain extreme values.

A distribution that has tails shaped in roughly the same way as any normal distribution not just the standard normal distribution is said to be mesokurtic. Kurtosis is typically measured with respect to the normal distribution. Three different types of curves courtesy of investopedia are shown as follows. It tells us the extent to which the distribution is more or less outlier prone heavier or light tailed than the normal distribution.

In terms of shape a platykurtic distribution has thinner tails examples of platykurtic distributions include the continuous and discrete uniform distributions and the raised cosine distribution the most platykurtic distribution of all is the bernoulli distribution with p 1 2 for. The degree of tailedness of a distribution is measured by kurtosis. Skewness tells you the amount and direction of skew departure from horizontal symmetry and kurtosis tells you how tall and sharp the central peak is relative to a standard bell curve. Mesokurtic leptokurtic and platykurtic.

Diffusion kurtosis imaging dki is an emerging neuroimaging tool providing distinct information beyond traditional diffusion measures. Kurtosis is a statistical measure used to describe the degree to which scores cluster in the tails or the peak of a frequency distribution. In probability theory and statistics kurtosis from greek. The peak is the tallest part of the distribution and the tails are the ends of the distribution.

κυρτός kyrtos or kurtos meaning curved arching is a measure of the tailedness of the probability distribution of a real valued random variable.