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Basic Analysis and Graphing - SAS

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138 Performing Oneway <strong>Analysis</strong> Chapter 5<br />

Means/Anova <strong>and</strong> Means/Anova/Pooled t<br />

Outlier Box Plots<br />

The outlier box plot is a graphical summary of the distribution of data. Note the following aspects about<br />

outlier box plots (see Figure 5.8):<br />

• The vertical line within the box represents the median sample value.<br />

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

respectively.<br />

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

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

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

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

1st 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 />

Figure 5.8 Examples of Outlier Box Plots<br />

whisker<br />

median<br />

sample<br />

value<br />

75% quantile<br />

or 3rd quartile<br />

25% quantile<br />

or 1st quartile<br />

Means/Anova <strong>and</strong> Means/Anova/Pooled t<br />

The Means/Anova option performs an analysis of variance. If the X factor contains exactly two levels, this<br />

option appears as Means/Anova/Pooled t. In addition to the other reports, a t-test report assuming pooled<br />

(or equal) variances appears.

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