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 *t*th percentile, set .

For the following definitions numbered 1, 2, 3, and 5, express as

where is the integer part of , and is the fractional part of . For definition 4, let

The *t*th percentile (call it ) can be defined as follows:

- PCTLDEF=1
weighted average at

where is taken to be .

- PCTLDEF=2
observation numbered closest to

where is the integer part of if . If , then if is even, or if is odd.

- PCTLDEF=3
empirical distribution function

- PCTLDEF=4
weighted average aimed at

where is taken to be .

- PCTLDEF=5
empirical distribution function with averaging

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