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In Stata, how do I test the normality of a variable?

In Stata, you may test normality by either graphical or numerical methods. The former includes drawing a stem-and-leaf plot, scatterplot, box-plot, histogram, probability-probability (P-P) plot, and quantile-quantile (Q-Q) plot. The latter computes the Shapiro-Wilk, Shapiro-Francia, and Skewness-Kurtosis tests.

The examples below are for the variable score:

Graphical methods
  Command Plot drawn
  . stem score stem-and-leaf
  . dotplot score scatterplot
  . graph box score box-plot
  . histogram score histogram
  . pnorm score P-P
  . qnorm score Q-Q
     
Numerical methods
  Command Test conducted
  . swilk score Shapiro-Wilk
  . sfrancia score Shapiro-Francia
  . sktest score Skewness-Kurtosis

Be aware that in these tests, the null hypothesis states that the variable is normally distributed.

For more information about statistical and mathematical software, email the UITS Stat/Math Center, visit the center's web page, or phone 812-855-4724 (IUB) or 317-278-4740 (IUPUI). The center is located in Bloomington at 410 N. Park Avenue, and is open for consultation by appointment Monday-Friday 9am-5pm.

Also see:

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Last modified on February 06, 2008.
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