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

Regression analysis, Of the 6,325 kindergarten students who participated in...

Of the 6,325 kindergarten students who participated in the study, almost half or 3,052 were eligible for a free lunch program. The categorical variable sesk (1 == free lunch, 2 = n

the six conditions are equally likely, A medical researcher has 100 bone c...

A medical researcher has 100 bone cancer patients in a study. Every patient's condition is one of six types, type \A" to type \F". The 100 patients split as follows: x There

Probability theory, Origin and Development of probability Theory: The c...

Origin and Development of probability Theory: The credit for origin and development of probability goes to the European gamblers of 17 th century. They  used to gamble  on gam

Sample standard deviation, Sample Standard Deviation So far, we discu...

Sample Standard Deviation So far, we discussed the population standard deviation. Now, let us switch to sample standard deviation(s) that is analogous to the population stand

Different analyses of recurrent events data, Different analyses of recurren...

Different analyses of recurrent events data: The bladder cancer data listed in Wei, Lin, and Weissfeld (1989) is used in Example 54.8/49.8 of SAS to  illustrate different anal

Flow chart for confidence interval, Flow Chart for Confidence Interval ...

Flow Chart for Confidence Interval We can now prepare a flow chart for estimating a confidence interval for μ, the population parameter. Figure

Redundancy analysis, In reduced rank regression (RRR), the dependent var...

In reduced rank regression (RRR), the dependent variables are first submitted to a PCA and the scores of the units are then used as dependent variables in a series of

Simple linear regression, Simple Linear Regression   While correlati...

Simple Linear Regression   While correlation analysis determines the degree to which the variables are related, regression analysis develops the relationship between the var

Artificial neural network, Normal 0 false false false E...

Normal 0 false false false EN-US X-NONE X-NONE

Ryan-joiner - normal probability plot, The Null Hypothesis - H0:  The rando...

The Null Hypothesis - H0:  The random errors will be normally distributed The Alternative Hypothesis - H1:  The random errors are not normally distributed Reject H0: when P-v

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