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WilcoxonSignedRankTest Class

One sample Wicoxon signed rank test of the null hypothesis that the distribution is symmetric with respect to the supposed median, i.e. there are equal probabilities to get sample greater than m+x and less than m-x, where m is supposed median.
TailAlternative hypothesis
Tail.BothDistribution is not symmetric or median is not equal to the supposed median.
Tail.LeftDistribution is not symmetric or median is less than the supposed median.
Tail.RightDistribution is not symmetric or median is greater than the supposed median.

Note. Decision based on P-value and significance level comparison is more exact.

Inheritance Hierarchy
SystemObject
  FinMath.Statistics.HypothesisTestingHypothesisTest
    FinMath.Statistics.HypothesisTestingOneSampleTest
      FinMath.Statistics.HypothesisTestingWilcoxonSignedRankTest

Namespace:  FinMath.Statistics.HypothesisTesting
Assembly:  FinMath (in FinMath.dll) Version: 2.4.7-0a995bd0ea1854c2c868ec3f8dae606c5777e170
Syntax
C#
[SerializableAttribute]
public class WilcoxonSignedRankTest : OneSampleTest

The WilcoxonSignedRankTest type exposes the following members.

Constructors
  NameDescription
Public methodWilcoxonSignedRankTest
Creates WilcoxonSignedRankTest instance with default significance level for two-tailed test.
Public methodWilcoxonSignedRankTest(Double)
Creates WilcoxonSignedRankTest instance for two-tailed test.
Public methodWilcoxonSignedRankTest(Tail)
Creates WilcoxonSignedRankTest instance with default significance level.
Public methodWilcoxonSignedRankTest(Double, Tail)
Creates WilcoxonSignedRankTest instance.
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Properties
  NameDescription
Public propertyAcceptanceRegionLeft
Region of acceptance left border. We fail to reject null hypothesis if test statistics is between left and right borders of region of acceptance. http://en.wikipedia.org/wiki/Statistical_hypothesis_testing#Definition_of_terms
(Overrides HypothesisTestAcceptanceRegionLeft.)
Public propertyAcceptanceRegionRight
Region of acceptance right border. We fail to reject null hypothesis if test statistics is between left and right borders of region of acceptance. http://en.wikipedia.org/wiki/Statistical_hypothesis_testing#Definition_of_terms
(Overrides HypothesisTestAcceptanceRegionRight.)
Public propertyDecision
Decision about null hypothesis.
true if the null hypothesis is failed to be rejected.
false if the null hypothesis is rejected.
(Inherited from HypothesisTest.)
Public propertyDecisionPrinciple
Marks whether decision should be made comparing P-value with Significance level or test statistics with critical value.
(Inherited from HypothesisTest.)
Public propertyPValue
The probability of obtaining a test statistic at least as extreme as the one that was actually observed, assuming that the null hypothesis is true. http://en.wikipedia.org/wiki/P-value
(Overrides HypothesisTestPValue.)
Public propertySignificanceLevel
Significance level. http://en.wikipedia.org/wiki/Statistical_significance
(Inherited from HypothesisTest.)
Public propertyStatistics
Test statistics. http://en.wikipedia.org/wiki/Test_statistic
(Inherited from HypothesisTest.)
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Methods
  NameDescription
Public methodEquals
Determines whether the specified object is equal to the current object.
(Inherited from Object.)
Public methodGetHashCode
Serves as the default hash function.
(Inherited from Object.)
Public methodGetType
Gets the Type of the current instance.
(Inherited from Object.)
Public methodToString
Returns a string that represents the current object.
(Inherited from Object.)
Public methodUpdate(Double)
Updates test statistic using provided sample.
(Inherited from OneSampleTest.)
Public methodUpdate(Vector)
Updates test statistic using provided sample.
(Inherited from OneSampleTest.)
Public methodUpdate(Double, Double)
Updates supposed median and test statistic using provided sample.
Public methodUpdate(Vector, Double)
Updates supposed median and test statistic using provided sample.
Public methodUpdate(Double, Int32, Int32)
Updates test statistic using provided sample.
(Inherited from OneSampleTest.)
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See Also