org.statcato.statistics.inferential.nonparametrics

Class RunsTest

java.lang.Object

org.statcato.statistics.inferential.nonparametrics.RunsTest

public class RunsTest
extends java.lang.Object

Runs test for randomness. A nonparametic test that the number of runs (sequence of data having the same characteristic) in a sequence of sample data to test for randomness in the order of the data.

Since:

1.0

Constructor Summary

Constructors

Constructor and Description
RunsTest(int n1, int n2, int G, double significance) Constructor, given summarized data.
RunsTest(java.util.Vector<Cell> vector, java.lang.String cat1, java.lang.String cat2, double significance) Constructor, given a vector of Cell containing data of two categories, the two categories, and significance level.
RunsTest(java.util.Vector<java.lang.Double> vector, double separator, double significance) Constructor, given a vector containing numerical data, a separator value, and the significance.

Method Summary

Modifier and Type	Method and Description
double	criticalValue()
double	mu() Returns the mean of the distribution of runs, mu = 2 * n1 * n2 / (n1 + n2) + 1.
double	pValue() Returns the p-value.
double	sigma() Returns the standard deviation of the distribution of runs, sigma = [(2 * n1 * n2)(2 * n1 * n2 - n1 - n2) / (n1 + n2)^2 / (n1 + n2 - 1)]^0.5
double	testStatistic() Returns the test statistic z = (G - mu) / sigma, where G is the number of runs, mu the mean of the distribution of runs, and sigma the standard deviatioin of the distribution of runs.
java.lang.String	toString()

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

RunsTest

public RunsTest(int n1,
                int n2,
                int G,
                double significance)

Constructor, given summarized data.

Parameters:

n1 - number of category 1

n2 - number of category 2

G - number of runs

significance - significance level

RunsTest

public RunsTest(java.util.Vector<Cell> vector,
                java.lang.String cat1,
                java.lang.String cat2,
                double significance)

Constructor, given a vector of Cell containing data of two categories, the two categories, and significance level.

Parameters:

vector - vector of Cell

cat1 - string representing category 1

cat2 - string representing category 2

significance - significance level

RunsTest

public RunsTest(java.util.Vector<java.lang.Double> vector,
                double separator,
                double significance)

Constructor, given a vector containing numerical data, a separator value, and the significance. Test for randomness in which the numerical data fluctuates above or below the separator. Values equal to the separator are ignored.

Parameters:

vector - vector of double values

separator - double value separating the two groups

significance - significance level

Method Detail

testStatistic

public double testStatistic()

Returns the test statistic z = (G - mu) / sigma, where G is the number of runs, mu the mean of the distribution of runs, and sigma the standard deviatioin of the distribution of runs.

Returns:

test statistic z

mu

public double mu()

Returns the mean of the distribution of runs, mu = 2 * n1 * n2 / (n1 + n2) + 1.

Returns:

mean

sigma

public double sigma()

Returns the standard deviation of the distribution of runs, sigma = [(2 * n1 * n2)(2 * n1 * n2 - n1 - n2) / (n1 + n2)^2 / (n1 + n2 - 1)]^0.5

Returns:

standard deviation

pValue

public double pValue()

Returns the p-value.

Returns:

p-value

criticalValue

public double criticalValue()

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object