Examples From:
Statview
JmpIn
Minitab
Excel



 
 

Statview

normal quantile plot constructed in StatView

Note: StatView currently has no procedure for automatically generating the Normal Quantile plot. First use Sort under the Manage menu to order the observations from smallest to largest. Then use Formula under the Manage menu to construct a variable p = (i-.5)/n where i is the rank order of the observation (from smallest to largest). Next, use Formula to construct a new variable Quantile = ReturnNormal(p,0,1). Finally, use one of the scattergram options to plot the Data variable against the Quantile variable.

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JmpIn

normal quantile plot from JMP

Note: JMP's procedure for plotting the Normal Quantile plot also gives a confidence band around the best fitting line through the points. Regression lines are explained in Chapter 12. The intercept of the line equals the mean (the intersection of the red and greed lines above) and the slope equals the standard deviation. The confidence band around this line is not a useful test of the normality assumption. Also, this plot displays key percentiles across the top of the graph.

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Minitab

normal quantile plot from Minitab

Important Note: The Normal Quantile procedure in Minitab reverses the role of the vertical and horizontal axes compared to most programs.

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normal quantile plot constructed in Excel

Note: The DataAnalysis toolpack does not contain any procedures for producing Normal Quantile plots directly. However, they are easy to generate. Sort the column of data variables from smallest to largest. Construct a column INDEX running from 1 for the smallest to n for the largest data value. Construct a new column P = (INDEX - .5)/N where N is the number of observations. Construct a new variable QUANTILE = NORMINV(P,0,1) where P refers to the P column. Finally, use the ChartWizard to plot the Data column against the QUANTILE column.

A sample spreadsheet for constructing a Normal Quantile plot is available as hoursQQ.xls.

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