gov.sandia.cognition.statistics.method

Class TukeyKramerConfidence

java.lang.Object

gov.sandia.cognition.util.AbstractCloneableSerializable

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

gov.sandia.cognition.statistics.method.TukeyKramerConfidence

All Implemented Interfaces:

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

@ConfidenceTestAssumptions(name="Tukey-Kramer Range test",
                           alsoKnownAs={"Tukey\'s Range test","Tukey\'s Honestly Significant Difference test","Tukey\'s HSD test"},
                           description={"Tukey\'s test determines which treatment is statistically different from a multiple comparison.","Tukey\'s test is a generalization of the paired Student\'s t-test for multiple comparisons using a population-correction factor."},
                           assumptions={"All data came from same distribution, without considering treatment effects.","The observations have equal variance.","Measurements are independent and equivalent within a treatment.","All observations are independent."},
                           nullHypothesis="Each treatment has no effect on the mean outcome of the subjects",
                           dataPaired=false,
                           dataSameSize=false,
                           distribution=StudentizedRangeDistribution.class,
                           reference=@PublicationReference(author="Wikipedia",title="Tukey\'s range test",type=WebPage,year=2011,url="http://en.wikipedia.org/wiki/Tukey\'s_range_test"))
public class TukeyKramerConfidence
extends AbstractMultipleHypothesisComparison<java.util.Collection<? extends java.lang.Number>,TukeyKramerConfidence.Statistic>

Tukey-Kramer test is the multiple-comparison generalization of the unpaired Student's t-test when conducting multiple comparisons. The t-test and Tukey's Range test are coincident when a single comparison is made. Tukey's Range test is typically used as the post-hoc analysis technique after detecting a difference using a 1-way ANOVA. This class implements Kramer's generalization to unequal subjects in different treatments.

Since:

3.1

Author:

Kevin R. Dixon

See Also:

Serialized Form

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	TukeyKramerConfidence.Statistic Statistic from Tukey-Kramer's multiple comparison test

Field Summary

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

DEFAULT_UNCOMPENSATED_ALPHA

Constructor Summary

Constructors

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

Method Summary

Modifier and Type	Method and Description
TukeyKramerConfidence	clone() This makes public the clone method on the Object class and removes the exception that it throws.
TukeyKramerConfidence.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 java.lang.Object

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

Constructor Detail

TukeyKramerConfidence

public TukeyKramerConfidence()

Creates a new instance of TukeyKramerConfidence

Method Detail

clone

public TukeyKramerConfidence clone()

Description copied from class: AbstractCloneableSerializable

This makes public the clone method on the Object class and removes the exception that it throws. Its default behavior is to automatically create a clone of the exact type of object that the clone is called on and to copy all primitives but to keep all references, which means it is a shallow copy. Extensions of this class may want to override this method (but call super.clone() to implement a "smart copy". That is, to target the most common use case for creating a copy of the object. Because of the default behavior being a shallow copy, extending classes only need to handle fields that need to have a deeper copy (or those that need to be reset). Some of the methods in ObjectUtil may be helpful in implementing a custom clone method. Note: The contract of this method is that you must use super.clone() as the basis for your implementation.

Specified by:

clone in interface CloneableSerializable

Overrides:

clone in class AbstractCloneableSerializable

Returns:

A clone of this object.

evaluateNullHypotheses

public TukeyKramerConfidence.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>,TukeyKramerConfidence.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