Class Statistics

consists of a set of static methods to do elementary statistics NOTE: Much of stats to do with a normal distribution is in the NormDist CLASS.

Inheritance
Object
Statistics
Inherited Members
Namespace: TowseyLibrary
Assembly: TowseyLibrary.dll
Syntax
public class Statistics

Methods

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AnalyzeClustersOfHits(Int32[], Int32, Double, Int32, out Double[], out Double, out Double)

Analyzes an array of events or hits, represented by a binary of matrix. Assumes a Poisson distribution Returns an array of Z-scores indicating the probability at any time or frame that the number of hits occuring in the window centered on that point could have occured by chance.

Declaration
public static void AnalyzeClustersOfHits(int[] hits, int window, double thresholdZ, int thresholdCount, out double[] zScores, out double expectedHits, out double sd)
Parameters
Type Name Description
Int32[] hits
Int32 window
Double thresholdZ
Int32 thresholdCount
Double[] zScores
Double expectedHits
Double sd
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bayesBoundary(Int32, Double, Double, Int32, Double, Double)

Declaration
public static double[] bayesBoundary(int countC1, double meanC1, double sdC1, int countC2, double meanC2, double sdC2)
Parameters
Type Name Description
Int32 countC1
Double meanC1
Double sdC1
Int32 countC2
Double meanC2
Double sdC2
Returns
Type Description
Double[]
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CreateInverseProbabilityDistribution(Int32)

Declaration
public static double[] CreateInverseProbabilityDistribution(int length)
Parameters
Type Name Description
Int32 length
Returns
Type Description
Double[]
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CreateQuadraticProbabilityDistribution(Int32)

Declaration
public static double[] CreateQuadraticProbabilityDistribution(int length)
Parameters
Type Name Description
Int32 length
Returns
Type Description
Double[]
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GetMedian(Double[])

Declaration
public static double GetMedian(double[] v)
Parameters
Type Name Description
Double[] v
Returns
Type Description
Double
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GetNthPercentileBin(Int32[], Int32)

Declaration
public static int GetNthPercentileBin(int[] distribution, int percentile)
Parameters
Type Name Description
Int32[] distribution
Int32 percentile
Returns
Type Description
Int32
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GetPercentileValue(Double[], Int32)

NOTE: The sort routine sorts in descending order. Therefore the percentile value has to be reversed.

Declaration
public static double GetPercentileValue(double[] v, int percentile)
Parameters
Type Name Description
Double[] v
Int32 percentile
Returns
Type Description
Double
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quadraticRoots(Double, Double, Double)

Declaration
public static double[] quadraticRoots(double A, double B, double C)
Parameters
Type Name Description
Double A
Double B
Double C
Returns
Type Description
Double[]
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RandomSamplingUsingProbabilityDistribution(Int32, Int32, Int32)

Declaration
public static Tuple<int[], int[]> RandomSamplingUsingProbabilityDistribution(int distributionlength, int sampleCount, int seed)
Parameters
Type Name Description
Int32 distributionlength
Int32 sampleCount
Int32 seed
Returns
Type Description
Tuple<Int32[], Int32[]>
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TestGetNthPercentileBin()

This method is a test for ensuring correct bin ID is chosen for some degenerate cases.

Declaration
public static void TestGetNthPercentileBin()
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tStatistic(Double, Double, Int32, Double, Double, Int32)

Declaration
public static double tStatistic(double m1, double sd1, int count1, double m2, double sd2, int count2)
Parameters
Type Name Description
Double m1
Double sd1
Int32 count1
Double m2
Double sd2
Int32 count2
Returns
Type Description
Double
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tStatisticAlpha(Double, Int32)

Declaration
public static double tStatisticAlpha(double t, int df)
Parameters
Type Name Description
Double t
Int32 df
Returns
Type Description
Double
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tStatisticAndSignificance(Double, Double, Int32, Double, Double, Int32)

Declaration
public static string tStatisticAndSignificance(double m1, double sd1, int count1, double m2, double sd2, int count2)
Parameters
Type Name Description
Double m1
Double sd1
Int32 count1
Double m2
Double sd2
Int32 count2
Returns
Type Description
String

Extension Methods