stats[describe,quantile]  Quantiles of a Statistical List

Calling Sequence


stats[describe, quantile[which](data, gap)
describe[quantile[which, offset]](data, gap)


Parameters


data



statistical list

which



quantile required, a number between 0 and 1

offset



(optional, default = 0 ) offset added to the calculated position

gap



(optional, default=false) The common size of gaps between classes.





Description


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The quantile function of the subpackage stats[describe, ...] finds the item in data that corresponds to the quantile specified by which. If the requested quantile falls between entries, it is interpolated.

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The quantile can be describe as follows. Given a fraction `r` between 0 and 1. Sort the data. The rthquantile is a value that separates the data into 2 parts. One having the portion `r` of the sorted data which is less than the quantile value, the other have the 1`r` portion of the data which is greater than the quantile value.

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The precise position is computed as followed: r*n+offset, where n is the total weight of the data list.

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The quantile generalizes the concept of median, quartile, percentile etc.

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To obtain the median, one has to use an offset of 1/2. This is because the median of two numbers is situated midway between these numbers.

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NOTE: the quantile and the quartile have similar spelling.

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Missing data are ignored.

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For information about the parameter gap, see describe[gaps].

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The data must be numeric.

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The command with(stats[describe],quantile) allows the use of the abbreviated form of this command.



Examples


Important: The stats package has been deprecated. Use the superseding package Statistics instead.
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