Question

In: Statistics and Probability

In kurtosis, how would I know if it is Platykurtic, Leptokurtic and Mesokurtic? And what does...

In kurtosis, how would I know if it is Platykurtic, Leptokurtic and Mesokurtic? And what does it interpret with regards to my data/observation?

Solutions

Expert Solution

Interpretation:

Equation (i) is a pure number and its value is zero for a normal distribution. A normal curve is called mesokurtic (i.e, having medium kurtosis).

A positive value of g​​​​​​2​​​ means that there is high concentration of values in the neighbourhood of the measure of central tendency and the distribution has high tails compared to the normal distribution with the same standard deviation. The corresponding distribution is known as leptokurtic.

Again a negative value of g​​​​​​2  indicates that there is low concentration of values near the average and the distribution has low tails in comparison with a normal distribution with the same standard deviation. Here the distribution is known as platykurtic.

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