Measures of asymmetry and pointing

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Measures of asymmetry and pointing

Characteristics of asymmetry

when the most common values of the distribution are smaller, this asymmetry is positive

the values of the variables are more frequent, i.e. the highest and if the distribution has a tail to the left, this skewness is negative.

asymmetry measures

is defined as a central moment of order 3 and standard deviation raised to the cube

is denoted by g1

to measure the skewness of a distribution, different coefficients are used, in which the so-called skewness coefficient can be obtained.

Asymmetry

It is such a measure of the shape of a distribution that allows us to describe the data in which it tends to identify characteristics of the data distribution.

called shape measurements, since they allow to compare the shape of the graphic representations.

Characteristics of aiming measures

types

platicurtica

mesocurtica

leptocurtica

measures

data grouped in intervals

Frequency tables

ungrouped data

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Parameters

g2 (X) < 0

The distribution is platicurtic, more flattened than normal.

g2 (X) = 0

Its distribution is mesocurtic, i.e., the same as the normal distribution.

g2 (X) the distribution is leptokurtic

Defined for:

Variable X

Y= X-B

They are those that analyze whether a frequency distribution is more or less sharper when comparing it as a normal distribution, i.e. with the same size and variance.

is denoted by:

g2