gov.sandia.cognition.statistics.method

Class NemenyiConfidence

java.lang.Object

gov.sandia.cognition.util.AbstractCloneableSerializable

gov.sandia.cognition.statistics.method.AbstractMultipleHypothesisComparison<java.util.Collection<? extends java.lang.Number>,NemenyiConfidence.Statistic>

gov.sandia.cognition.statistics.method.NemenyiConfidence

All Implemented Interfaces:

MultipleHypothesisComparison<java.util.Collection<? extends java.lang.Number>>, CloneableSerializable, java.io.Serializable, java.lang.Cloneable

@ConfidenceTestAssumptions(name="Nemenyi\'s test",description={"Nemenyi\'s test determines which treatment is statistically different from a multiple comparison.","This is a nonparametric rank-based alternative to Tukey\'s multiple comparison test."},assumptions={"All data came from same distribution, without considering treatment effects.","Measurements are independent and equivalent within a treatment.","All observations are independent."},nullHypothesis="Each treatment has no effect on the rank-based outcome of the subjects",dataPaired=true,dataSameSize=true,distribution=StudentizedRangeDistribution.class,reference={@PublicationReference(author="Janez Demsar",title="Statistical Comparisons of Classifiers over Multiple Data Sets",type=Journal,publication="Journal of Machine Learning Research",year=2006,url="http://www.jmlr.org/papers/volume7/demsar06a/demsar06a.pdf"),@PublicationReference(author="Wikipedia",title="Multiple comparisons, Post-hoc testing of ANOVAs",type=WebPage,year=2011,url="http://en.wikipedia.org/wiki/Multiple_comparisons#Post-hoc_testing_of_ANOVAs")})
public class NemenyiConfidence
extends AbstractMultipleHypothesisComparison<java.util.Collection<? extends java.lang.Number>,NemenyiConfidence.Statistic>

The Nemenyi test is the rank-based analogue of the Tukey multiple-comparison test. Its primary use is in determining which treatments are significant after a Friedman's test indicates that one of the treatments is statistically different.

Since:

3.1

Author:

Kevin R. Dixon

See Also:

Serialized Form

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	NemenyiConfidence.Statistic Statistic from Nemenyi's multiple comparison test

Field Summary

Fields

Modifier and Type	Field and Description
static NemenyiConfidence	INSTANCE Default instance.

Fields inherited from interface gov.sandia.cognition.statistics.method.MultipleHypothesisComparison

DEFAULT_UNCOMPENSATED_ALPHA

Constructor Summary

Constructors

Constructor and Description
NemenyiConfidence() Creates a new instance of NemenyiConfidence

Method Summary

Modifier and Type	Method and Description
NemenyiConfidence.Statistic	evaluateNullHypotheses(java.util.Collection<? extends java.util.Collection<? extends java.lang.Number>> data, double uncompensatedAlpha) Evaluates the null hypotheses associated with the given collection of data.

Methods inherited from class gov.sandia.cognition.statistics.method.AbstractMultipleHypothesisComparison

evaluateNullHypotheses

Methods inherited from class gov.sandia.cognition.util.AbstractCloneableSerializable

clone

Methods inherited from class java.lang.Object

equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface gov.sandia.cognition.util.CloneableSerializable

clone

Field Detail

INSTANCE

public static final NemenyiConfidence INSTANCE

Default instance.

Constructor Detail

NemenyiConfidence

public NemenyiConfidence()

Creates a new instance of NemenyiConfidence

Method Detail

evaluateNullHypotheses

public NemenyiConfidence.Statistic evaluateNullHypotheses(java.util.Collection<? extends java.util.Collection<? extends java.lang.Number>> data,
                                                          double uncompensatedAlpha)

Description copied from interface: MultipleHypothesisComparison

Evaluates the null hypotheses associated with the given collection of data.

Specified by:

evaluateNullHypotheses in interface MultipleHypothesisComparison<java.util.Collection<? extends java.lang.Number>>

Specified by:

evaluateNullHypotheses in class AbstractMultipleHypothesisComparison<java.util.Collection<? extends java.lang.Number>,NemenyiConfidence.Statistic>

Parameters:

data - Data from each treatment to consider

uncompensatedAlpha - Uncompensated alpha (p-value threshold) for the multiple comparison test, must be [0,1]

Returns:

Statistic that summarizes the multiple comparison test