Class PairedStatsAccumulator
- Since:
- 20.0
- Author:
- Pete Gillin
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Constructor Summary
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Method Summary
Modifier and TypeMethodDescriptionvoid
add
(double x, double y) Adds the given pair of values to the dataset.void
addAll
(PairedStats values) Adds the given statistics to the dataset, as if the individual values used to compute the statistics had been added directly.long
count()
Returns the number of pairs in the dataset.final LinearTransformation
Returns a linear transformation giving the best fit to the data according to Ordinary Least Squares linear regression ofy
as a function ofx
.final double
Returns the Pearson's or product-moment correlation coefficient of the values.double
Returns the population covariance of the values.final double
Returns the sample covariance of the values.snapshot()
Returns an immutable snapshot of the current statistics.xStats()
Returns an immutable snapshot of the statistics on thex
values alone.yStats()
Returns an immutable snapshot of the statistics on they
values alone.
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Constructor Details
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PairedStatsAccumulator
public PairedStatsAccumulator()Creates a new accumulator.
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Method Details
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add
Adds the given pair of values to the dataset. -
addAll
Adds the given statistics to the dataset, as if the individual values used to compute the statistics had been added directly. -
snapshot
Returns an immutable snapshot of the current statistics. -
count
Returns the number of pairs in the dataset. -
xStats
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yStats
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populationCovariance
Returns the population covariance of the values. The count must be non-zero.This is guaranteed to return zero if the dataset contains a single pair of finite values. It is not guaranteed to return zero when the dataset consists of the same pair of values multiple times, due to numerical errors.
Non-finite values
If the dataset contains any non-finite values (
Double.POSITIVE_INFINITY
,Double.NEGATIVE_INFINITY
, orDouble.NaN
) then the result isDouble.NaN
.- Throws:
IllegalStateException
- if the dataset is empty
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sampleCovariance
Returns the sample covariance of the values. The count must be greater than one.This is not guaranteed to return zero when the dataset consists of the same pair of values multiple times, due to numerical errors.
Non-finite values
If the dataset contains any non-finite values (
Double.POSITIVE_INFINITY
,Double.NEGATIVE_INFINITY
, orDouble.NaN
) then the result isDouble.NaN
.- Throws:
IllegalStateException
- if the dataset is empty or contains a single pair of values
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pearsonsCorrelationCoefficient
Returns the Pearson's or product-moment correlation coefficient of the values. The count must greater than one, and thex
andy
values must both have non-zero population variance (i.e.xStats().populationVariance() > 0.0 && yStats().populationVariance() > 0.0
). The result is not guaranteed to be exactly +/-1 even when the data are perfectly (anti-)correlated, due to numerical errors. However, it is guaranteed to be in the inclusive range [-1, +1].Non-finite values
If the dataset contains any non-finite values (
Double.POSITIVE_INFINITY
,Double.NEGATIVE_INFINITY
, orDouble.NaN
) then the result isDouble.NaN
.- Throws:
IllegalStateException
- if the dataset is empty or contains a single pair of values, or either thex
andy
dataset has zero population variance
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leastSquaresFit
Returns a linear transformation giving the best fit to the data according to Ordinary Least Squares linear regression ofy
as a function ofx
. The count must be greater than one, and either thex
ory
data must have a non-zero population variance (i.e.xStats().populationVariance() > 0.0 || yStats().populationVariance() > 0.0
). The result is guaranteed to be horizontal if there is variance in thex
data but not they
data, and vertical if there is variance in they
data but not thex
data.This fit minimizes the root-mean-square error in
y
as a function ofx
. This error is defined as the square root of the mean of the squares of the differences between the actualy
values of the data and the values predicted by the fit for thex
values (i.e. it is the square root of the mean of the squares of the vertical distances between the data points and the best fit line). For this fit, this error is a fractionsqrt(1 - R*R)
of the population standard deviation ofy
, whereR
is the Pearson's correlation coefficient (as given bypearsonsCorrelationCoefficient()
).The corresponding root-mean-square error in
x
as a function ofy
is a fractionsqrt(1/(R*R) - 1)
of the population standard deviation ofx
. This fit does not normally minimize that error: to do that, you should swap the roles ofx
andy
.Non-finite values
If the dataset contains any non-finite values (
Double.POSITIVE_INFINITY
,Double.NEGATIVE_INFINITY
, orDouble.NaN
) then the result isLinearTransformation.forNaN()
.- Throws:
IllegalStateException
- if the dataset is empty or contains a single pair of values, or both thex
andy
dataset have zero population variance
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