For the planarity measure in graph theory, see Graph skewness.
Example distribution with positive skewness. These data are from experiments on wheat grass growth.
In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The skewness value can be positive, zero, negative, or undefined.
For a unimodal distribution (a distribution with a single peak), negative skew commonly indicates that the tail is on the left side of the distribution, and positive skew indicates that the tail is on the right. In cases where one tail is long but the other tail is fat, skewness does not obey a simple rule. For example, a zero value in skewness means that the tails on both sides of the mean balance out overall; this is the case for a symmetric distribution but can also be true for an asymmetric distribution where one tail is long and thin, and the other is short but fat. Thus, the judgement on the symmetry of a given distribution by using only its skewness is risky; the distribution shape must be taken into account.
statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The skewness value can...
skew polyhedron Skew-symmetric graph Skew-symmetric matrix Skew tableau, a generalization of Young tableau Skewness, a measure of the asymmetry of a probability...
will cause any model to understate the risk of variables with high skewness. Skewness risk plays an important role in hypothesis testing. The analysis of...
left- or right-skewness equally well. In some statistical samples it has been shown to be less powerful than the usual measures of skewness in detecting...
the skew normal distribution is a continuous probability distribution that generalises the normal distribution to allow for non-zero skewness. Let ϕ...
three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of lines...
In geometry, a skew polygon is a polygon whose vertices are not all coplanar. Skew polygons must have at least four vertices. The interior surface (or...
GC skew is when the nucleotides guanine and cytosine are over- or under-abundant in a particular region of DNA or RNA. GC skew is also a statistical method...
[X])^{3}\right]}{\sigma _{X}^{3}}}={\operatorname {skewness} [X]},} For two random variables, X and Y, the skewness of the sum, X + Y, is S X + Y = 1 σ X + Y 3...
In geometry, a regular skew apeirohedron is an infinite regular skew polyhedron. They have either skew regular faces or skew regular vertex figures. In...
for a square. A skewness' of 0 is the best possible one and a skewness of one is almost never preferred. For Hex and quad cells, skewness should not exceed...
A time zone is an area which observes a uniform standard time for legal, commercial and social purposes. Time zones tend to follow the boundaries between...
In geometry, a skew apeirohedron is an infinite skew polyhedron consisting of nonplanar faces or nonplanar vertex figures, allowing the figure to extend...
coastal engineering, the two categories of nonlinearity are skewness and asymmetry. Wave skewness and asymmetry occur when waves encounter an opposing current...
notation for skewness, although sometimes this is instead reserved for the excess kurtosis. The kurtosis is bounded below by the squared skewness plus 1:: 432 ...
In mathematics, a skew gradient of a harmonic function over a simply connected domain with two real dimensions is a vector field that is everywhere orthogonal...
It follows that (where they exist) the skewness and kurtosis of these distribution are constants, as skewness and kurtosis are independent of location...
Stanley Skewes (/skjuːz/; 1899–1988) was a South African mathematician, best known for his discovery of the Skewes's number in 1933. He was one of John...
opposite triangles form another equilateral triangle.: Thm. 1 A skew hexagon is a skew polygon with six vertices and edges but not existing on the same...
The smaller is absolute values of skewness angle the smaller is internal entropy of Cauchy stress tensor. The skewness angle enters as a parameter in a...
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