UtilityFunctions (FSharp.Stats) | FSharp.Stats

FSharp.Stats

Seq.UtilityFunctions Module

Namespace: FSharp.Stats
Assembly: FSharp.Stats.dll
Parent Module: Seq

A module which implements helper functions to provide special statistical measures

Functions and values

Function or value	Description
`pooledStDev data` Full Usage: `pooledStDev data` Parameters: data : `'a seq` - A sequence of sequences representing the data groups. Returns: `float` The pooled standard deviation.	Computes the pooled standard deviation of the given values. data : `'a seq` A sequence of sequences representing the data groups. Returns: `float` The pooled standard deviation. Example `let group1 = [1.0; 2.0; 3.0; 4.0; 5.0] let group2 = [2.0; 4.0; 6.0; 8.0; 10.0] let group3 = [3.0; 6.0; 9.0; 12.0; 15.0] let pooledStDev = Seq.UtilityFunctions.pooledStDev [group1; group2; group3] // returns 2.732520` val group1: float list val group2: float list val group3: float list val pooledStDev: obj module Seq from Microsoft.FSharp.Collections
`pooledStDevOf sizes variances` Full Usage: `pooledStDevOf sizes variances` Parameters: sizes : `int seq` - The number of samples for each group. variances : `float seq` - The population variances for each group. Returns: `float` The pooled standard deviation.	Computes the pooled standard deviation of the given values. sizes : `int seq` The number of samples for each group. variances : `float seq` The population variances for each group. Returns: `float` The pooled standard deviation. Example `let sizes = [10; 20; 15] let variances = [2.5; 3.2; 1.8] let pooledStDev =Seq. UtilityFunctions.pooledStDevOf sizes variances // returns 1.552775` val sizes: int list val variances: float list val pooledStDev: obj module Seq from Microsoft.FSharp.Collections
`pooledStDevPopulation data` Full Usage: `pooledStDevPopulation data` Parameters: data : `'a seq` - A sequence of sequences representing the data groups. Returns: `float` The pooled population standard deviation.	Computes the pooled population standard deviation of the given values (Bessel's correction by N-1). data : `'a seq` A sequence of sequences representing the data groups. Returns: `float` The pooled population standard deviation. Example `let group1 = [1.0; 2.0; 3.0; 4.0; 5.0] let group2 = [2.0; 4.0; 6.0; 8.0; 10.0] let group3 = [3.0; 6.0; 9.0; 12.0; 15.0] let pooledStDevPop = Seq.UtilityFunctions.pooledStDevPopulation [group1; group2; group3] // returns 3.055050` val group1: float list val group2: float list val group3: float list val pooledStDevPop: obj module Seq from Microsoft.FSharp.Collections
`pooledStDevPopulationOf sizes variances` Full Usage: `pooledStDevPopulationOf sizes variances` Parameters: sizes : `int seq` - The number of samples for each group. variances : `float seq` - The population variances for each group. Returns: `float` The pooled population standard deviation.	Computes the pooled population standard deviation of the given values (Bessel's correction by N-1). sizes : `int seq` The number of samples for each group. variances : `float seq` The population variances for each group. Returns: `float` The pooled population standard deviation. Example `let sizes = [10; 20; 15] let variances = [2.5; 3.2; 1.8] let pooledStDevPop = Seq.UtilityFunctions.pooledStDevPopulationOf sizes variances // returns 1.607275` val sizes: int list val variances: float list val pooledStDevPop: obj module Seq from Microsoft.FSharp.Collections
`pooledVar data` Full Usage: `pooledVar data` Parameters: data : `'a seq` - A sequence of sequences representing the data groups. Returns: `float` The pooled variance.	Computes the pooled variance of the given values. data : `'a seq` A sequence of sequences representing the data groups. Returns: `float` The pooled variance. Example `let group1 = [1.0; 2.0; 3.0; 4.0; 5.0] let group2 = [2.0; 4.0; 6.0; 8.0; 10.0] let group3 = [3.0; 6.0; 9.0; 12.0; 15.0] let pooledVar = Seq.UtilityFunctions.pooledVar [group1; group2; group3] // returns 7.466667` val group1: float list val group2: float list val group3: float list val pooledVar: obj module Seq from Microsoft.FSharp.Collections
`pooledVarOf sizes variances` Full Usage: `pooledVarOf sizes variances` Parameters: sizes : `int seq` - The number of samples for each group. variances : `float seq` - The population variances for each group. Returns: `float` The pooled variance.	Computes the pooled variance of the given values. sizes : `int seq` The number of samples for each group. variances : `float seq` The population variances for each group. Returns: `float` The pooled variance. Example `let sizes = [10; 20; 15] let variances = [2.5; 3.2; 1.8] let pooledVar = Seq.UtilityFunctions.pooledVarOf sizes variances // returns 2.411111` val sizes: int list val variances: float list val pooledVar: obj module Seq from Microsoft.FSharp.Collections
`pooledVarPopulation data` Full Usage: `pooledVarPopulation data` Parameters: data : `'a seq` - A sequence of sequences representing the data groups. Returns: `float` The pooled population variance.	Computes the pooled population variance of the given values (Bessel's correction by N-1). data : `'a seq` A sequence of sequences representing the data groups. Returns: `float` The pooled population variance. Example `let group1 = [1.0; 2.0; 3.0; 4.0; 5.0] let group2 = [2.0; 4.0; 6.0; 8.0; 10.0] let group3 = [3.0; 6.0; 9.0; 12.0; 15.0] let pooledVarPop = Seq.UtilityFunctions.pooledVarPopulation [group1; group2; group3] // returns 9.333333` val group1: float list val group2: float list val group3: float list val pooledVarPop: obj module Seq from Microsoft.FSharp.Collections
`pooledVarPopulationOf sizes variances` Full Usage: `pooledVarPopulationOf sizes variances` Parameters: sizes : `int seq` - The number of samples for each group. variances : `float seq` - The population variances for each group. Returns: `float` The pooled population variance.	Computes the pooled population variance of the given values (Bessel's correction by N-1). sizes : `int seq` The number of samples for each group. variances : `float seq` The population variances for each group. Returns: `float` The pooled population variance. Example `let sizes = [10; 20; 15] let variances = [2.5; 3.2; 1.8] let pooledVarPop = Seq.UtilityFunctions.pooledVarPopulationOf sizes variances // returns 2.583333` val sizes: int list val variances: float list val pooledVarPop: obj module Seq from Microsoft.FSharp.Collections
`sumOfSquares xData exData` Full Usage: `sumOfSquares xData exData` Parameters: xData : `float seq` - The observed values. exData : `float seq` - The expected values. Returns: `float` The sum of squares.	Computes the sum of squares. Returns NaN if data is empty or if any entry is NaN. xData : `float seq` The observed values. exData : `float seq` The expected values. Returns: `float` The sum of squares. Example `let observed = [1.0; 2.0; 3.0; 4.0; 5.0] let expected = [2.0; 3.0; 4.0; 5.0; 6.0] let ss = Seq.UtilityFunctions.sumOfSquares observed expected // returns 5.0` val observed: float list val expected: float list val ss: obj module Seq from Microsoft.FSharp.Collections