SignTest Class 
Namespace: Accord.Statistics.Testing
The SignTest type exposes the following members.
Name  Description  

SignTest(Double, Double, OneSampleHypothesis) 
Tests the null hypothesis that the sample median is equal to a hypothesized value.
 
SignTest(Int32, Int32, OneSampleHypothesis) 
Tests the null hypothesis that the sample median is equal to a hypothesized value.

Name  Description  

CriticalValue 
Gets the critical value for the current significance level.
(Inherited from HypothesisTestTDistribution.)  
Hypothesis 
Gets the alternative hypothesis under test. If the test is
Significant, the null hypothesis
can be rejected in favor of this alternative hypothesis.
 
PValue 
Gets the Pvalue associated with this test.
(Inherited from HypothesisTestTDistribution.)  
Significant 
Gets whether the null hypothesis should be rejected.
(Inherited from HypothesisTestTDistribution.)  
Size 
Gets the significance level for the
test. Default value is 0.05 (5%).
(Inherited from HypothesisTestTDistribution.)  
Statistic 
Gets the test statistic.
(Inherited from HypothesisTestTDistribution.)  
StatisticDistribution 
Gets the distribution associated
with the test statistic.
(Inherited from HypothesisTestTDistribution.)  
Tail 
Gets the test type.
(Inherited from HypothesisTestTDistribution.) 
Name  Description  

Compute(Int32, Int32, OneSampleHypothesis) 
Computes the one sample sign test.
 
Compute(Double, Int32, Double, OneSampleHypothesis) 
Computes the Binomial test.
(Inherited from BinomialTest.)  
Equals  Determines whether the specified object is equal to the current object. (Inherited from Object.)  
Finalize  Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)  
GetHashCode  Serves as the default hash function. (Inherited from Object.)  
GetType  Gets the Type of the current instance. (Inherited from Object.)  
MemberwiseClone  Creates a shallow copy of the current Object. (Inherited from Object.)  
OnSizeChanged 
Called whenever the test significance level changes.
(Inherited from HypothesisTestTDistribution.)  
PValueToStatistic 
Converts a given pvalue to a test statistic.
(Inherited from BinomialTest.)  
StatisticToPValue 
Converts a given test statistic to a pvalue.
(Inherited from BinomialTest.)  
ToString 
Converts the numeric PValue of this test to its equivalent string representation.
(Inherited from HypothesisTestTDistribution.)  
ToString(String, IFormatProvider) 
Converts the numeric PValue of this test to its equivalent string representation.
(Inherited from HypothesisTestTDistribution.) 
Name  Description  

HasMethod 
Checks whether an object implements a method with the given name.
(Defined by ExtensionMethods.)  
IsEqual 
Compares two objects for equality, performing an elementwise
comparison if the elements are vectors or matrices.
(Defined by Matrix.)  
To(Type)  Overloaded.
Converts an object into another type, irrespective of whether
the conversion can be done at compile time or not. This can be
used to convert generic types to numeric types during runtime.
(Defined by ExtensionMethods.)  
ToT  Overloaded.
Converts an object into another type, irrespective of whether
the conversion can be done at compile time or not. This can be
used to convert generic types to numeric types during runtime.
(Defined by ExtensionMethods.) 
In statistics, the sign test can be used to test the hypothesis that the difference median is zero between the continuous distributions of two random variables X and Y, in the situation when we can draw paired samples from X and Y. It is a nonparametric test which makes very few assumptions about the nature of the distributions under test  this means that it has very general applicability but may lack the statistical power of other tests such as the pairedsamples ttest or the Wilcoxon signedrank test.
References:
// This example has been adapted from the Wikipedia's page about // the ZTest, available from: http://en.wikipedia.org/wiki/Ztest // We would like to check whether a sample of 20 // students with a median score of 96 points ... double[] sample = { 106, 115, 96, 88, 91, 88, 81, 104, 99, 68, 104, 100, 77, 98, 96, 104, 82, 94, 72, 96 }; // ... could have happened just by chance inside a // population with an hypothesized median of 100 points. double hypothesizedMedian = 100; // So we start by creating the test: SignTest test = new SignTest(sample, hypothesizedMedian, OneSampleHypothesis.ValueIsSmallerThanHypothesis); // Now, we can check whether this result would be // unlikely under a standard significance level: bool significant = test.Significant; // false (so the event was likely) // We can also check the test statistic and its PValue double statistic = test.Statistic; // 5 double pvalue = test.PValue; // 0.99039