 | Wilcoxon |
Class WilcoxonSignedRankTest tests if two paired sets of observed values differ
from each other in a significant way.
Inheritance HierarchyNamespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4
SyntaxThe WilcoxonSignedRankTest type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | WilcoxonSignedRankTest(Double, Double) | Constructs a WilcoxonSignedRankTest instance using the given paired arrays of sample data. |
| WilcoxonSignedRankTest(DoubleVector, DoubleVector) | Constructs a WilcoxonSignedRankTest instance using the given paired vectors of sample data. |
 | WilcoxonSignedRankTest(IDFColumn, IDFColumn) | Constructs a WilcoxonSignedRankTest instance using the given paired columns of sample data. |
| WilcoxonSignedRankTest(Int32, Int32) | Constructs a WilcoxonSignedRankTest instance using the given paired arrays of sample data. |
| WilcoxonSignedRankTest(Double, Double, Double, HypothesisType, Boolean) | Constructs a WilcoxonSignedRankTest instance using the given paired arrays of sample data, and the given hypothesis parameters. |
| WilcoxonSignedRankTest(DoubleVector, DoubleVector, Double, HypothesisType, Boolean) | Constructs a WilcoxonSignedRankTest instance using the given paired vectors of sample data, and the given hypothesis parameters. |
| WilcoxonSignedRankTest(IDFColumn, IDFColumn, Double, HypothesisType, Boolean) | Constructs a WilcoxonSignedRankTest instance using the given paired columns of sample data, and the given hypothesis parameters. |
| WilcoxonSignedRankTest(Int32, Int32, Double, HypothesisType, Boolean) | Constructs a WilcoxonSignedRankTest instance using the given paired arrays of sample data, and the given hypothesis parameters. |
Properties| Name | Description | |
|---|---|---|
 | Alpha | Gets and sets the alpha level associated with this hypothesis test. |
 | DefaultAlpha | Gets and sets the default alpha level associated with WilcoxonSignedRankTests. |
| DefaultExactPValue | Gets and sets the default setting for whether an exact p-value should be computed, or a normal approximation should be used. |
| DefaultType | Gets and sets the default form of the alternative hypothesis associated with WilcoxonSignedRankTests. |
| ExactPValue | Gets and sets a boolean value indicating whether an exact p-value should be computed, or a normal approximation should be used. |
| LeftProbability | Gets the area under the probability distribution to the left of the test statistic. |
| N | Gets the sample size. |
| P | Gets the p-value associated with the test statistic. |
| Reject | Tests whether the null hypothesis can be rejected, using the current hypothesis type and alpha level. |
| RightProbability | Gets the area under the probability distribution to the right of the test statistic. |
| SignedRanks | Gets the vector of signed ranks. |
| Statistic | Gets the value of the test statistic associated with this hypothesis test. |
| Type | Gets and sets the form of the alternative hypothesis associated with this hypothesis test. |
Methods| Name | Description | |
|---|---|---|
| Clone | Creates a deep copy of this WilcoxonSignedRankTest. |
| ComputeExactPValue | Computes an exact p-value by enumerating all possible rank sums. |
| ToString |
Returns a formatted string representation of the test results.
(Overrides ObjectToString) |
| Update(Double, Double, Boolean) | Updates the test statistic with new sample data. |
| Update(DoubleVector, DoubleVector, Boolean) | Updates the test statistic with new sample data. |
| Update(IDFColumn, IDFColumn, Boolean) | Updates the test statistic with new sample data. |
| Update(Int32, Int32, Boolean) | Updates the test statistic with new sample data. |
Remarks
The Wilcoxon signed-rank is a non-parametric statistical hypothesis test for comparing the
means between two paired samples, or repeated measurements on a single sample. It can be used as
an alternative to TwoSamplePairedTTest when the population cannot be assumed to be normally
distributed.
The null hypothesis is that the distribution x - y is symmetric about 0.
For n > 10, the sampling distribution of the test statistic converges to a normal distribution. For smaller sample sizes, an exact p-value can be calculated by enumerating all possible combinations of the test statistic given n.
The null hypothesis is that the distribution x - y is symmetric about 0.
For n > 10, the sampling distribution of the test statistic converges to a normal distribution. For smaller sample sizes, an exact p-value can be calculated by enumerating all possible combinations of the test statistic given n.
See Also