Troubleshooting
This article describes the formula syntax and usage of the SKEW.P function in Microsoft Excel. Returns the skewness of a distribution based on a population: a characterization of the degree of asymmetry of a distribution around its mean. SKEW.P(number 1, number 2,) The SKEW.P function syntax has the following arguments. Optional Text: The formula that Excel uses to calculate skewness prior to Excel 2013 is SKEW: where x̄ is the mean and s is the standard deviation of the data we are analysing. Excel 2013: SKEW.P In Excel 2013, there is also a population version of the skewness given by the formula: SKEW.P, which is based on this formula. Simply, skewness is a measure of symmetry or the lack of symmetry. In the given online sample skewness calculator, enter the sample values separated by commas to know the skewness value for the sample.The value can be positive, negative or undefined and is the third central moment of a random variable. Interpretation: The skewness of the simulated data is -0.008525844. This concludes that the data is close to bell shape but slightly skewed to the left. The computed kurtosis is 2.96577, which means the data is mesokurtic. Formula: Skewness Coefficient = 3 x (mean - median) / σ Where, σ=Standard deviation. Coefficient of Skewness: Skewness Coefficient also known as Pearson's Coefficient of Skewness or moment coefficient of skewness is the third standardized moment. It can be termed as Skew (X) and it is dependent on the mean, median and standard deviation. The equation for skewness is defined as: Example. Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. Land rover compatible cell phones. If you need to, you can adjust the column widths to see all the data.
Problem
I'm running the SPSS EXAMINE procedure (Analyze>Descriptive Statistics>Explore in the menus) using a number of dependent variables. Among the descriptive statistics produced are skewness, kurtosis and their standard errors. I've noticed that the standard errors for these two statistics are the same for all of my variables, regardless of the values of the skewness and kurtosis statistics. Is something wrong?
Skewness = 0.1166 Skewness Calculator is an online statistics tool for data analysis programmed to find out the asymmetry of the probability distribution of a real-valued random variable.
Resolving The Problem
No, there is nothing wrong here. The standard errors for skewness and kurtosis are solely functions of the sample size, regardless of the values of the statistics themselves. EXAMINE uses LISTWISE deletion of cases with missing values by default, so for a given group, descriptive statistics for all variables will be based on the same number of cases. Thus the SEs for skewness and kurtosis will be the same for all variables.
The variance (squared standard error) of the skewness statistic is computed as:
V_skew = 6*N*(N-1) / ((N-2)*(N+1)*(N+3))
where N is the sample size. The variance of the kurtosis statistic is:
V_kur = 4*(N^2-1)*V_skew / ((N-3)*(N+5))
Population Skewness Calculator
Internal Use Only
Resolution Status at Transfer: Published - External ; Products: Statistics; Versions: ALL
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Formula Of Skewness Statistics
Modified date:
16 June 2018