stats

package
v0.0.8 Latest Latest
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 Go to latest Published: Sep 11, 2024 License: MIT Imports: 10 Imported by: 1

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Index

Constants

This section is empty.

Variables

This section is empty.

Functions

func CalculateMoment added in v0.0.3 

func CalculateMoment(dl insyra.IDataList, n int, central bool) *big.Rat

CalculateMoment calculates the n-th moment of the DataList. Returns the n-th moment. Returns nil if the DataList is empty or the n-th moment cannot be calculated.

func Correlation added in v0.0.4 

func Correlation(dlX, dlY insyra.IDataList, method CorrelationMethod, highPrecision ...bool) interface{}

Correlation calculates the correlation coefficient between two datasets. Supports Pearson, Kendall, and Spearman methods. If highPrecision is set to true, it returns *big.Rat, otherwise float64.

func Covariance added in v0.0.4 

func Covariance(dlX, dlY insyra.IDataList) *big.Rat

Covariance calculates the covariance between two datasets. Always returns *big.Rat.

func Kurtosis 

func Kurtosis(data interface{}, method ...int) interface{}

Kurtosis calculates the kurtosis(sample) of the DataList. Returns the kurtosis. Returns nil if the DataList is empty or the kurtosis cannot be calculated.

func Skewness added in v0.0.3 

func Skewness(sample interface{}, method ...int) interface{}

Skewness calculates the skewness(sample) of the DataList. Returns the skewness. Returns nil if the DataList is empty or the skewness cannot be calculated.

Types

type ChiSquareTestResult added in v0.0.6 

type ChiSquareTestResult struct {
	ChiSquare float64
	PValue    float64
	Df        int
}

func ChiSquareTest added in v0.0.6 

func ChiSquareTest(input interface{}, p []float64, rescaleP bool) *ChiSquareTestResult

ChiSquareTest supports both DataList (1D) and DataTable (2D) for chi-square tests.

type CorrelationMethod added in v0.0.4 

type CorrelationMethod int

CorrelationMethod 定義了相關係數的計算方法 

const (
	// PearsonCorrelation 表示皮爾森相關係數的計算方法，用於測量線性相關性
	// PearsonCorrelation means Pearson correlation coefficient, used to measure linear correlation.
	PearsonCorrelation CorrelationMethod = iota
	// KendallCorrelation 表示肯德爾秩相關係數的計算方法，用於測量單調相關性
	// KendallCorrelation means Kendall rank correlation coefficient, used to measure monotonic correlation.
	KendallCorrelation
	// SpearmanCorrelation 表示斯皮爾曼秩相關係數的計算方法，基於排序後的數據。
	// SpearmanCorrelation means Spearman rank correlation coefficient, based on sorted data.
	SpearmanCorrelation
)

type FTestResult added in v0.0.6 

type FTestResult struct {
	FValue float64
	PValue float64
	Df1    int
	Df2    int
}

func FTestForVarianceEquality added in v0.0.6 

func FTestForVarianceEquality(data1, data2 *insyra.DataList) *FTestResult

FTestForVarianceEquality performs an F-test for variance equality

type LinearRegressionResult added in v0.0.4 

type LinearRegressionResult struct {
	Slope            float64   // 斜率
	Intercept        float64   // 截距
	Residuals        []float64 // 殘差
	Rsquared         float64   // R-squared
	AdjustedRsquared float64   // 調整後的 R-squared
	StandardError    float64   // 標準誤差
	TValue           float64   // t 值
	Pvalue           float64   // p 值
}

LinearRegressionResult holds the result of a linear regression, including slope, intercept, and other statistical details.

func LinearRegression added in v0.0.4 

func LinearRegression(dlX, dlY insyra.IDataList) *LinearRegressionResult

LinearRegression performs simple linear regression on two datasets (X and Y). It returns the slope, intercept, residuals, R-squared, and other statistical details.

type OneWayANOVAResult added in v0.0.7 

type OneWayANOVAResult struct {
	SSB     float64 // Between-group Sum of Squares
	SSW     float64 // Within-group Sum of Squares
	FValue  float64 // F-value
	PValue  float64 // P-value
	DFB     int     // Between-group Degrees of Freedom
	DFW     int     // Within-group Degrees of Freedom
	TotalSS float64 // Total Sum of Squares
}

func OneWayANOVA_WideFormat added in v0.0.7 

func OneWayANOVA_WideFormat(dataTable insyra.IDataTable) *OneWayANOVAResult

type PCAResult added in v0.0.8 

type PCAResult struct {
	Components        insyra.IDataTable // 主成分存為 DataTable
	Eigenvalues       []float64         // 對應的特徵值
	ExplainedVariance []float64         // 每個主成分解釋的變異百分比
}

PCAResult contains the results of a Principal Component Analysis.

func PCA added in v0.0.8 

func PCA(dataTable insyra.IDataTable, nComponents ...int) *PCAResult

PCA calculates the Principal Component Analysis of a DataTable. The function returns a PCAResult struct containing the principal components, eigenvalues, and explained variance. The number of components to extract can be specified using the nComponents parameter. If nComponents is not specified or exceeds the number of columns, all components will be extracted.

type RepeatedMeasuresANOVAResult added in v0.0.8 

type RepeatedMeasuresANOVAResult struct {
	SSB     float64 // Between-group Sum of Squares
	SSW     float64 // Within-group Sum of Squares
	FValue  float64 // F-value
	PValue  float64 // P-value
	DFB     int     // Between-group Degrees of Freedom
	DFW     int     // Within-group Degrees of Freedom
	DFSubj  int     // Degrees of Freedom for subjects
	TotalSS float64 // Total Sum of Squares
}

func RepeatedMeasuresANOVA_WideFormat added in v0.0.8 

func RepeatedMeasuresANOVA_WideFormat(dataTable insyra.IDataTable) *RepeatedMeasuresANOVAResult

RepeatedMeasuresANOVA_WideFormat calculates the repeated measures ANOVA of the given data table. Use wide data format to calculate the ANOVA. It returns a pointer to a RepeatedMeasuresANOVAResult struct containing the results.

type TTestResult added in v0.0.4 

type TTestResult struct {
	TValue float64 // t 值
	PValue float64 // p 值
	Df     int     // 自由度
}

TTestResult holds the result of a t-test, including t-value and p-value.

func PairedTTest added in v0.0.4 

func PairedTTest(data1, data2 insyra.IDataList) *TTestResult

PairedTTest performs a paired t-test, comparing the differences between two paired samples. It returns the t-value, p-value, and degrees of freedom.

func SingleSampleTTest added in v0.0.4 

func SingleSampleTTest(data insyra.IDataList, mu float64) *TTestResult

SingleSampleTTest performs a single-sample t-test, comparing the mean of the sample to a given value. It returns the t-value, p-value, and degrees of freedom.

func TwoSampleTTest added in v0.0.4 

func TwoSampleTTest(data1, data2 insyra.IDataList, equalVariance bool) *TTestResult

TwoSampleTTest performs an independent two-sample t-test, comparing the means of two samples. It returns the t-value, p-value, and degrees of freedom.

type TwoWayANOVAResult added in v0.0.7 

type TwoWayANOVAResult struct {
	SSA      float64 // Factor A Sum of Squares
	SSB      float64 // Factor B Sum of Squares
	SSAB     float64 // Interaction Sum of Squares
	SSW      float64 // Within-group Sum of Squares
	FAValue  float64 // F-value for Factor A
	FBValue  float64 // F-value for Factor B
	FABValue float64 // F-value for interaction
	PAValue  float64 // P-value for Factor A
	PBValue  float64 // P-value for Factor B
	PABValue float64 // P-value for interaction
	DFA      int     // Degrees of Freedom for Factor A
	DFB      int     // Degrees of Freedom for Factor B
	DFAxB    int     // Degrees of Freedom for interaction
	DFW      int     // Degrees of Freedom within groups
	TotalSS  float64 // Total Sum of Squares
}

func TwoWayANOVA_WideFormat added in v0.0.7 

func TwoWayANOVA_WideFormat(dataTable insyra.IDataTable) *TwoWayANOVAResult

TwoWayANOVA calculates the two-way ANOVA of the given data table. Use wide data format to calculate the ANOVA. It returns a pointer to a TwoWayANOVAResult struct containing the results.

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