Asymmetry or aiming measurements

Asymmetry or aiming measurements

1. Called measures of form since they allow compare the form it has in these graphic representations.

2. Asymmetry:

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

3. Asymmetry measurements:

   • To measure the skewness of a distribution, different coefficients are used, in which the so-called skewness coefficient can be obtained.
   • It is delayed by g1
   • It is defined as central moment of order 3 and standard deviation cubed

4. Characteristics of asymmetry:

   • The values ​​of the variables are more frequent, that is, the higher ones, and if the distribution presents a tail to the left, this asymmetry is negative.
   • When the most common values ​​of the distribution are smaller, this asymmetry is positive.

5. Characteristics of aiming measurements:

   • Measures
     • Ungrouped data
     • frequency tables
     • Data grouped in intervals
   • Types
     • Leptokurtica
     • Mesokurtica
     • platykurtica

6. main theme

7. Aiming measurements:

   • It is denoted by :
     • g2
   • They are the ones that analyze if a frequency distribution is more or less pointed when comparing it as a normal distribution, that is, with the same measure and variance.
   • It is defined for
     • VariableX
       • Y=X-B
   • Parameters
     • If g2 (X) the distribution is leptokurtic
     • g2(X)=0
       • The distribution is mesokurtic, that is, the same as the normal one.
     • g2(X)<0
       • The distribution is platykurtic, flatter than normal.

8. Pointing:

   • It is said measure of the degree of sharpness of a normal distribution, that is, it measures with a different relation to the distribution.