logging in or signing up Skewness vishnuvet Download Post to : URL : Related Presentations : Let's Connect Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Copy embed code: Embed: Flash iPad Dynamic Copy Does not support media & animations Automatically changes to Flash or non-Flash embed WordPress Embed Customize Embed URL: Copy Thumbnail: Copy The presentation is successfully added In Your Favorites. Views: 1720 Category: Entertainment License: All Rights Reserved Like it (0) Dislike it (0) Added: February 20, 2011 This Presentation is Public Favorites: 1 Presentation Description No description available. Comments Posting comment... Premium member Presentation Transcript Skewness and Kurtosis : Skewness and Kurtosis K.Anusha Tvm/o9-03SKEWNESS: SKEWNESS Skewness is the degree of departure from symmetry of a distribution .SYMMETRICAL DISTRIBUTION : SYMMETRICAL DISTRIBUTION Mean ,median ,and mode coincides Skewness will be zeroSlide 4: Positive skew : The right tail is longer; the mass of the distribution is concentrated on the left of the figure.mean will be greater than median. The distribution is said to be right-skewed or " skewed to the right ".Slide 5: Negative skew : The left tail is longer; the mass of the distribution is concentrated on the right of the figure.Median will be greater than mean. The distribution is said to be left-skewed or " skewed to the leftMEASURES OF SKEWNESS: MEASURES OF SKEWNESS Direction & extent of skewness 1) Pearson’s measure of skewness 2) Bowley’s measure of skewness Pearson’s measure of skewness: Pearson’s measure of skewness Distance b/n mean & mode is the basis Skewness – measured to compare series Meaning of skewness differ with variation in distribution.Slide 8: Karl Pearson suggested simpler calculations as a measure of skewness The Pearson mode or first skewness coefficient, defined by: ( mean − mode ) / standard deviation , Pearson's median or second skewness coefficient defined by 3 ( mean − median ) / standard deviation . Range skewness: -3 to +3Bowley’s measure of skewness: Bowley’s measure of skewness SYMMETRIC Q 1 MEDIAN Q 3 Q1 MEDIAN Q3 Q1 MEDIAN Q3 RIGHT SKEWED LEFT SKEWED SkB= Q3+Q1-2*MEDIAN Q3-Q1: Sk B= Q 3 +Q 1 -2*MEDIAN Q 3 -Q 1 Sk B = Q 1 -2Q 2 +Q 3 Q 3 -Q 1 RANGE: -1 to+1 (OR)KURTOSIS: KURTOSIS Kurtosis is the degree of peakedness of a distribution . KURTOSIS: Greek – “bulginess ” Normal curve – mesokurtic “ of intermediate peakedness”Platykurtic : Platykurtic A description of the kurtosis in a distribution in which the statistical value is negative . When compared to a normal distribution, a platykurtic data set has a flatter peak around its mean, which causes thin tails within the distribution. The flatness results from the data being less concentrated around its mean, due to large variations within observations.Leptokurtic : Leptokurtic A description of the kurtosis in a distribution in which the statistical value is positive. Leptokurtic distributions have higher peaks around the mean compared to normal distributions, which leads to thick tails on both sides. These peaks result from the data being highly concentrated around the mean, due to lower variations within observations.Slide 15: Thanq You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.