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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

• 

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

• 

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.

• 

The quantile can be describe as follows. Given a fraction `r` between 0 and 1. Sort the data. The r-th-quantile 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.

• 

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

• 

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

• 

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.

• 

NOTE: the quantile and the quartile have similar spelling.

• 

Missing data are ignored.

• 

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

• 

The data must be numeric.

• 

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.

withstats:

data:=seqi7,i=1..60:

describequantile13data

207

(1)

somequantiles:=seqdescribequantilei20,i=8..15:

somequantilesdata

247,277,307,337,367,397,6,457

(2)

describemedian10,20,30

20

(3)

describequantile12,1210,20,30

20

(4)

describemedian10,20,30,40

25

(5)

describequantile12,1210,20,30,40

25

(6)

describequantile1210,20,30,40

20

(7)

See Also

describe(deprecated)[decile], describe(deprecated)[gaps], describe(deprecated)[median], describe(deprecated)[percentile], describe(deprecated)[quartile], describe(deprecated)[range], Statistics, Statistics[Quantile]


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