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Basic Analysis and Graphing - SAS

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48 Performing Univariate <strong>Analysis</strong> Chapter 2<br />

Options for Continuous Variables<br />

• The ends of the box represent the 25th <strong>and</strong> 75th quantiles, also expressed as the 1st <strong>and</strong> 3rd quartile,<br />

respectively.<br />

• The difference between the 1st <strong>and</strong> 3rd quartiles is called the interquartile range.<br />

• The box has lines that extend from each end, sometimes called whiskers. The whiskers extend from the<br />

ends of the box to the outermost data point that falls within the distances computed as follows:<br />

1st quartile - 1.5*(interquartile range)<br />

3rd quartile + 1.5*(interquartile range)<br />

If the data points do not reach the computed ranges, then the whiskers are determined by the upper <strong>and</strong><br />

lower data point values (not including outliers).<br />

• The bracket outside of the box identifies the shortest half, which is the most dense 50% of the<br />

observations (Rousseuw <strong>and</strong> Leroy 1987).<br />

Remove Objects from the Outlier Box Plot<br />

To remove the confidence diamond or the shortest half, proceed as follows:<br />

1. Right-click on the outlier box plot <strong>and</strong> select Customize.<br />

2. Click Box Plot.<br />

3. Deselect the check box next to Confidence Diamond or Shortest Half.<br />

For more details about the Customize Graph window, see the Using JMP book.<br />

Quantile Box Plot<br />

The Quantile Box Plot displays specific quantiles from the Quantiles report. If the distribution is<br />

symmetric, the quantiles in the box plot are approximately equidistant from each other. At a glance, you can<br />

see whether the distribution is symmetric. For example, if the quantile marks are grouped closely at one end,<br />

but have greater spacing at the other end, the distribution is skewed toward the end with more spacing. See<br />

Figure 2.9.

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