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.. index:: statisticsp .. _statisticsp/0:
.. rst-class:: right
protocol
statisticsp
Statistical calculations over a list of numbers protocol.
| Availability:
| logtalk_load(statistics(loader))
| Author: Paulo Moura | Version: 1:3:0 | Date: 2022-06-20
| Compilation flags:
| static
| Dependencies: | (none)
| Remarks: | (none)
| Inherited public predicates: | (none)
.. contents:: :local: :backlinks: top
Public predicates
.. index:: product/2 .. _statisticsp/0::product/2:
product/2 ^^^^^^^^^^^^^
Calculates the product of all list numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| product(List,Product)
| Mode and number of proofs:
| product(+list(number),-number) - zero_or_one
.. index:: sum/2 .. _statisticsp/0::sum/2:
sum/2 ^^^^^^^^^
Calculates the sum of all list numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| sum(List,Sum)
| Mode and number of proofs:
| sum(+list(number),-number) - zero_or_one
.. index:: min/2 .. _statisticsp/0::min/2:
min/2 ^^^^^^^^^
Determines the minimum value in a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| min(List,Minimum)
| Mode and number of proofs:
| min(+list,-number) - zero_or_one
.. index:: max/2 .. _statisticsp/0::max/2:
max/2 ^^^^^^^^^
Determines the list maximum value in a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| max(List,Maximum)
| Mode and number of proofs:
| max(+list,-number) - zero_or_one
.. index:: min_max/3 .. _statisticsp/0::min_max/3:
min_max/3 ^^^^^^^^^^^^^
Determines the minimum and maximum values in a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| min_max(List,Minimum,Maximum)
| Mode and number of proofs:
| min_max(+list(number),-number,-number) - zero_or_one
.. index:: range/2 .. _statisticsp/0::range/2:
range/2 ^^^^^^^^^^^
Range is the length of the smallest interval which contains all the numbers in List. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| range(List,Range)
| Mode and number of proofs:
| range(+list,-number) - zero_or_one
.. index:: arithmetic_mean/2 .. _statisticsp/0::arithmetic_mean/2:
arithmetic_mean/2 ^^^^^^^^^^^^^^^^^^^^^
Calculates the arithmetic mean of a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| arithmetic_mean(List,Mean)
| Mode and number of proofs:
| arithmetic_mean(+list(number),-float) - zero_or_one
.. index:: geometric_mean/2 .. _statisticsp/0::geometric_mean/2:
geometric_mean/2 ^^^^^^^^^^^^^^^^^^^^
Calculates the geometric mean of a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| geometric_mean(List,Mean)
| Mode and number of proofs:
| geometric_mean(+list(number),-float) - zero_or_one
.. index:: harmonic_mean/2 .. _statisticsp/0::harmonic_mean/2:
harmonic_mean/2 ^^^^^^^^^^^^^^^^^^^
Calculates the harmonic mean of a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| harmonic_mean(List,Mean)
| Mode and number of proofs:
| harmonic_mean(+list(number),-float) - zero_or_one
.. index:: weighted_mean/3 .. _statisticsp/0::weighted_mean/3:
weighted_mean/3 ^^^^^^^^^^^^^^^^^^^
Calculates the weighted mean of a list of numbers. Fails if the list is empty or if the two lists have different lengths. Wights are assume to be non-negative.
| Compilation flags:
| static
| Template:
| weighted_mean(Weights,List,Mean)
| Mode and number of proofs:
| weighted_mean(+list(number),+list(number),-float) - zero_or_one
.. index:: median/2 .. _statisticsp/0::median/2:
median/2 ^^^^^^^^^^^^
Calculates the median of a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| median(List,Median)
| Mode and number of proofs:
| median(+list(number),-float) - zero_or_one
.. index:: modes/2 .. _statisticsp/0::modes/2:
modes/2 ^^^^^^^^^^^
Returns the list of modes of a list of numbers in ascending order. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| modes(List,Modes)
| Mode and number of proofs:
| modes(+list(number),-list(number)) - zero_or_one
.. index:: average_deviation/3 .. _statisticsp/0::average_deviation/3:
average_deviation/3 ^^^^^^^^^^^^^^^^^^^^^^^
Calculates the average absolute deviation of a list of numbers given a central tendency (e.g. mean, median, or mode). Fails if the list is empty.
| Compilation flags:
| static
| Template:
| average_deviation(List,CentralTendency,Deviation)
| Mode and number of proofs:
| average_deviation(+list(number),+float,-float) - zero_or_one
.. index:: mean_deviation/2 .. _statisticsp/0::mean_deviation/2:
mean_deviation/2 ^^^^^^^^^^^^^^^^^^^^
Calculates the mean absolute deviation of a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| mean_deviation(List,Deviation)
| Mode and number of proofs:
| mean_deviation(+list(number),-float) - zero_or_one
.. index:: median_deviation/2 .. _statisticsp/0::median_deviation/2:
median_deviation/2 ^^^^^^^^^^^^^^^^^^^^^^
Calculates the median absolute deviation of a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| median_deviation(List,Deviation)
| Mode and number of proofs:
| median_deviation(+list(number),-float) - zero_or_one
.. index:: standard_deviation/2 .. _statisticsp/0::standard_deviation/2:
standard_deviation/2 ^^^^^^^^^^^^^^^^^^^^^^^^
Calculates the standard deviation of a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| standard_deviation(List,Deviation)
| Mode and number of proofs:
| standard_deviation(+list(number),-float) - zero_or_one
.. index:: coefficient_of_variation/2 .. _statisticsp/0::coefficient_of_variation/2:
coefficient_of_variation/2 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Calculates the coefficient of variation of a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| coefficient_of_variation(List,Coefficient)
| Mode and number of proofs:
| coefficient_of_variation(+list(number),-float) - zero_or_one
.. index:: relative_standard_deviation/2 .. _statisticsp/0::relative_standard_deviation/2:
relative_standard_deviation/2 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Calculates the relative standard deviation of a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| relative_standard_deviation(List,Percentage)
| Mode and number of proofs:
| relative_standard_deviation(+list(number),-float) - zero_or_one
.. index:: skewness/2 .. _statisticsp/0::skewness/2:
skewness/2 ^^^^^^^^^^^^^^
Calculates the (moment) skewness of a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| skewness(List,Skewness)
| Mode and number of proofs:
| skewness(+list(number),-float) - zero_or_one
.. index:: kurtosis/2 .. _statisticsp/0::kurtosis/2:
kurtosis/2 ^^^^^^^^^^^^^^
Calculates the (excess) kurtosis of a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| kurtosis(List,Kurtosis)
| Mode and number of proofs:
| kurtosis(+list(number),-float) - zero_or_one
.. index:: variance/2 .. _statisticsp/0::variance/2:
variance/2 ^^^^^^^^^^^^^^
Calculates the unbiased variance of a list of numbers. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| variance(List,Variance)
| Mode and number of proofs:
| variance(+list(number),-float) - zero_or_one
.. index:: z_normalization/2 .. _statisticsp/0::z_normalization/2:
z_normalization/2 ^^^^^^^^^^^^^^^^^^^^^
Normalizes a list of number such that for the resulting list the mean of is close to zero and the standard deviation is close to 1. Fails if the list is empty.
| Compilation flags:
| static
| Template:
| z_normalization(List,NormalizedList)
| Mode and number of proofs:
| z_normalization(+list(number),-list(float)) - zero_or_one
.. index:: fractile/3 .. _statisticsp/0::fractile/3:
fractile/3 ^^^^^^^^^^^^^^
Calculates the smallest value in a list of numbers such that the list elements in its fraction P are less or equal to that value (with P in the open interval (0.0, 1.0)). Fails if the list is empty.
| Compilation flags:
| static
| Template:
| fractile(P,List,Fractile)
| Mode and number of proofs:
| fractile(+float,+list(integer),-integer) - zero_or_one
| fractile(+float,+list(float),-float) - zero_or_one
.. index:: valid/1 .. _statisticsp/0::valid/1:
valid/1 ^^^^^^^^^^^
Term is a closed list of numbers.
| Compilation flags:
| static
| Template:
| valid(Term)
| Mode and number of proofs:
| valid(@nonvar) - zero_or_one
Protected predicates
(none)
Private predicates
(none)
Operators
(none)
.. seealso::
:ref:`statistics <statistics/0>`, :ref:`sample <sample/0>`, :ref:`population <population/0>`