public interface UnknownDistributionChiSquareTest extends ChiSquareTest
Two samples tests are used when the distribution is unknown a priori but provided by one sample. We compare the second sample against the first.
Modifier and Type  Method and Description 

double 
chiSquareDataSetsComparison(long[] observed1,
long[] observed2)
Computes a
ChiSquare two sample test statistic comparing bin frequency counts
in
observed1 and observed2 . 
double 
chiSquareTestDataSetsComparison(long[] observed1,
long[] observed2)
Returns the observed significance level, or
pvalue, associated with a ChiSquare two sample test comparing
bin frequency counts in
observed1 and
observed2 . 
boolean 
chiSquareTestDataSetsComparison(long[] observed1,
long[] observed2,
double alpha)
Performs a ChiSquare two sample test comparing two binned data
sets.

chiSquare, chiSquare, chiSquareTest, chiSquareTest, chiSquareTest, chiSquareTest
double chiSquareDataSetsComparison(long[] observed1, long[] observed2) throws java.lang.IllegalArgumentException
Computes a
ChiSquare two sample test statistic comparing bin frequency counts
in observed1
and observed2
. The
sums of frequency counts in the two samples are not required to be the
same. The formula used to compute the test statistic is
∑[(K * observed1[i]  observed2[i]/K)^{2} / (observed1[i] + observed2[i])]
where
K = &sqrt;[&sum(observed2 / ∑(observed1)]
This statistic can be used to perform a ChiSquare test evaluating the null hypothesis that both observed counts follow the same distribution.
Preconditions:
observed1
and observed2
must have the same length and
their common length must be at least 2.
If any of the preconditions are not met, an
IllegalArgumentException
is thrown.
observed1
 array of observed frequency counts of the first data setobserved2
 array of observed frequency counts of the second data setjava.lang.IllegalArgumentException
 if preconditions are not metdouble chiSquareTestDataSetsComparison(long[] observed1, long[] observed2) throws java.lang.IllegalArgumentException, MathException
Returns the observed significance level, or
pvalue, associated with a ChiSquare two sample test comparing
bin frequency counts in observed1
and
observed2
.
The number returned is the smallest significance level at which one can reject the null hypothesis that the observed counts conform to the same distribution.
See chiSquareDataSetsComparison(long[], long[])
for details
on the formula used to compute the test statistic. The degrees of
of freedom used to perform the test is one less than the common length
of the input observed count arrays.
observed1
and observed2
must
have the same length and
their common length must be at least 2.
If any of the preconditions are not met, an
IllegalArgumentException
is thrown.
observed1
 array of observed frequency counts of the first data setobserved2
 array of observed frequency counts of the second data setjava.lang.IllegalArgumentException
 if preconditions are not metMathException
 if an error occurs computing the pvalueboolean chiSquareTestDataSetsComparison(long[] observed1, long[] observed2, double alpha) throws java.lang.IllegalArgumentException, MathException
Performs a ChiSquare two sample test comparing two binned data
sets. The test evaluates the null hypothesis that the two lists of
observed counts conform to the same frequency distribution, with
significance level alpha
. Returns true iff the null
hypothesis can be rejected with 100 * (1  alpha) percent confidence.
See chiSquareDataSetsComparison(long[], long[])
for
details on the formula used to compute the Chisquare statistic used
in the test. The degrees of of freedom used to perform the test is
one less than the common length of the input observed count arrays.
observed1
and observed2
must
have the same length and their common length must be at least 2.
0 < alpha < 0.5
If any of the preconditions are not met, an
IllegalArgumentException
is thrown.
observed1
 array of observed frequency counts of the first data setobserved2
 array of observed frequency counts of the second data setalpha
 significance level of the testjava.lang.IllegalArgumentException
 if preconditions are not metMathException
 if an error occurs performing the test"Copyright © 2010  2020 Adobe Systems Incorporated. All Rights Reserved"