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The BOXPLOT Procedure |
Percentile Definitions |
You can use the PCTLDEF= option to specify one of five definitions for computing quantile statistics (percentiles). Suppose that is the number of nonmissing values for a variable and that
represent the ordered values of the analysis variable. For the tth percentile, set
.
For the following definitions numbered 1, 2, 3, and 5, express as
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where is the integer part of
, and
is the fractional part of
. For definition 4, let
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The tth percentile (call it ) can be defined as follows:
weighted average at
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where is taken to be
.
observation numbered closest to
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where is the integer part of
if
. If
, then
if
is even, or
if
is odd.
empirical distribution function
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weighted average aimed at
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where is taken to be
.
empirical distribution function with averaging
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