Skewness, Applied Statistics

Assignment Help:

Skewness

Meaning and Definition

 Literal meaning of skewness is lack of symmetry; it is a numerical measure which reveals asymmetry of a statistical series.

According to Paden and Lindquist, a distribution is said to be skewed if it is lacking in symmetry that is if the measure tend to pile up at one end or the other of the range to measure.

In the words of Simpson  & Kafka skewness or asymmetry is the attribute  of frequency distribution  that extends further on one side of the class   with the highest frequency that on the other.

Morris Hum burg   says skewness refers to the asymmetry or lack of symmetry in the shape of a frequency distribution. This characteristic is of particular importance in connection with judging the typicality of certain measured of central tendency.

Similarly croxton and Cowden   define it, when a series is not symmetrical. It is said to be asymmetrical or skewed.

Thus any measure of skewness indicates the difference between the manners in which items are scattered in a particular distribution compared with a normal distribution. There a may be two distributions having the same mean and the same standard deviation still their shapes may be quite different. One may be symmetrical and other may be asymmetrical.

Thus it is clear that the word skewness refers. To lack of symmetry, if a distribution is normal there would be no skewness in it, the curve drawn from the distribution would be symmetrical would be symmetrical .In case of skewness distribution the curve drawn would be tilted either to the left or towards the right.


Related Discussions:- Skewness

Number of principal components, While there are p original variables the n...

While there are p original variables the number of principal components is m such that m

Measurement error models., how can we use measurement error method with eig...

how can we use measurement error method with eight responses variables (we do not have explanatory variable in the data )?.the data analyse 521 leaves ..

Vector of a company, Suppose both the Repair record 1978 and Company headqu...

Suppose both the Repair record 1978 and Company headquarters are believed to be significant in explaining the vector (Price, Mileage, Weight). Here, because of the limited sample s

Make a decision about the claim, Make a decision about the given claim. Do...

Make a decision about the given claim. Do not use any formal procedures and exact calculation. Use only the rare event rule. Claim: A coin favors head when tossed, and there

Estimate the values of the dependent variable, 1. Suppose you are estimatin...

1. Suppose you are estimating the imports (from both the U.S. mainland and foreign countries) of fuels and petroleum products in Hawaii (the dependent variable). The values of the

Index Number of formulae, discuss the mathematical test of adequacy of inde...

discuss the mathematical test of adequacy of index number of formulae. prove algebraically that the laspeyre, paasche and fisher price index formulae satisfies this test. What is

Draw a network diagram for this problem, The project of building a backyard...

The project of building a backyard swimming pool consists of eight major activities and has to be completed within 19 weeks. The activities and related data are given in the follow

Use of calculators in statistics, In recent years a number of calculators a...

In recent years a number of calculators are available for doing statistical calculations over and above the usual addition, subtraction, multiplication and division. The fx-82 mode

Systematic sampling, Systematic Sampling In Systematic Sampling ...

Systematic Sampling In Systematic Sampling each element has an equal chance of being selected, but each sample does not have the same chance of being selected. Here,

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd