ProcessAnalysis.AnalyzeXBarS Method

Definition

Namespace: Numerics.NET.Statistics.ProcessControl
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 10.4.0

Overload List

AnalyzeXBarS(Matrix<Double>, SpecificationLimits, SigmaEstimator, ControlRuleSet, NormalityTestKind, Double, Boolean, StandardBaseline)	Performs an XBar–S analysis on a matrix of subgroup observations.
AnalyzeXBarS(ReadOnlySpan<Double>, ReadOnlySpan<Int32>, SpecificationLimits, SigmaEstimator, ControlRuleSet, NormalityTestKind, Double, Boolean, StandardBaseline)	Performs an XBar–S analysis on a span of observations with integer subgroup identifiers.
AnalyzeXBarS(Vector<Double>, IGrouping, SpecificationLimits, SigmaEstimator, ControlRuleSet, NormalityTestKind, Double, Boolean, StandardBaseline)	Performs an XBar–S analysis on a vector of observations with an associated grouping.

AnalyzeXBarS(Matrix<Double>, SpecificationLimits, SigmaEstimator, ControlRuleSet, NormalityTestKind, Double, Boolean, StandardBaseline)

Performs an XBar–S analysis on a matrix of subgroup observations.

public static ProcessAnalysisResult<XBarSChartSetData> AnalyzeXBarS(
	Matrix<double> subgroups,
	SpecificationLimits? specifications = null,
	SigmaEstimator withinSigma = SigmaEstimator.WithinStandardDeviation,
	ControlRuleSet? ruleSet = null,
	NormalityTestKind normalityTest = NormalityTestKind.AndersonDarling,
	double significanceLevel = 0.05,
	bool assumptionDiagnostics = false,
	StandardBaseline? baseline = null
)

Visual Basic

Public Shared Function AnalyzeXBarS ( 
	subgroups As Matrix(Of Double),
	Optional specifications As SpecificationLimits = Nothing,
	Optional withinSigma As SigmaEstimator = SigmaEstimator.WithinStandardDeviation,
	Optional ruleSet As ControlRuleSet = Nothing,
	Optional normalityTest As NormalityTestKind = NormalityTestKind.AndersonDarling,
	Optional significanceLevel As Double = 0.05,
	Optional assumptionDiagnostics As Boolean = false,
	Optional baseline As StandardBaseline = Nothing
) As ProcessAnalysisResult(Of XBarSChartSetData)

C++/CLI

public:
static ProcessAnalysisResult<XBarSChartSetData^>^ AnalyzeXBarS(
	Matrix<double>^ subgroups, 
	SpecificationLimits^ specifications = nullptr, 
	SigmaEstimator withinSigma = SigmaEstimator::WithinStandardDeviation, 
	ControlRuleSet^ ruleSet = nullptr, 
	NormalityTestKind normalityTest = NormalityTestKind::AndersonDarling, 
	double significanceLevel = 0.05, 
	bool assumptionDiagnostics = false, 
	StandardBaseline^ baseline = nullptr
)

static member AnalyzeXBarS : 
        subgroups : Matrix<float> * 
        ?specifications : SpecificationLimits * 
        ?withinSigma : SigmaEstimator * 
        ?ruleSet : ControlRuleSet * 
        ?normalityTest : NormalityTestKind * 
        ?significanceLevel : float * 
        ?assumptionDiagnostics : bool * 
        ?baseline : StandardBaseline 
(* Defaults:
        let _specifications = defaultArg specifications null
        let _withinSigma = defaultArg withinSigma SigmaEstimator.WithinStandardDeviation
        let _ruleSet = defaultArg ruleSet null
        let _normalityTest = defaultArg normalityTest NormalityTestKind.AndersonDarling
        let _significanceLevel = defaultArg significanceLevel 0.05
        let _assumptionDiagnostics = defaultArg assumptionDiagnostics false
        let _baseline = defaultArg baseline null
*)
-> ProcessAnalysisResult<XBarSChartSetData>

Parameters

subgroups Matrix<Double>: A matrix whose rows are ordered subgroups and whose columns are measurements within each subgroup.
specifications SpecificationLimits (Optional): Optional specification limits used to compute capability metrics. When null no capability analysis is performed.
withinSigma SigmaEstimator (Optional): The sigma estimator to use for capability analysis. Defaults to WithinStandardDeviation.
ruleSet ControlRuleSet (Optional): Optional rule set used to evaluate Nelson or Western Electric rules on the XBar series. When null no rule evaluation is performed.
normalityTest NormalityTestKind (Optional): The normality test to apply when assumptionDiagnostics is true. Defaults to AndersonDarling.
significanceLevel Double (Optional): The significance level for the normality test. Defaults to 0.05.
assumptionDiagnostics Boolean (Optional): When true, performs normality testing and out-of-control signal detection to populate Assumptions. Defaults to false.
baseline StandardBaseline (Optional): When non-null, runs in Phase II mode: chart limits are taken from the frozen baseline rather than re-estimated from subgroups. Defaults to null (Phase I).

Return Value

ProcessAnalysisResult<XBarSChartSetData>
A ProcessAnalysisResult<TChartData> containing chart data, optional capability result, optional rule result, and diagnostics.

Exceptions

ArgumentNullException	subgroups is null.
ArgumentException	The input is empty, contains non-finite values, has unequal subgroup sizes, or withinSigma is incompatible with the input.

AnalyzeXBarS(ReadOnlySpan<Double>, ReadOnlySpan<Int32>, SpecificationLimits, SigmaEstimator, ControlRuleSet, NormalityTestKind, Double, Boolean, StandardBaseline)

Performs an XBar–S analysis on a span of observations with integer subgroup identifiers.

public static ProcessAnalysisResult<XBarSChartSetData> AnalyzeXBarS(
	ReadOnlySpan<double> observations,
	ReadOnlySpan<int> subgroupIds,
	SpecificationLimits? specifications = null,
	SigmaEstimator withinSigma = SigmaEstimator.WithinStandardDeviation,
	ControlRuleSet? ruleSet = null,
	NormalityTestKind normalityTest = NormalityTestKind.AndersonDarling,
	double significanceLevel = 0.05,
	bool assumptionDiagnostics = false,
	StandardBaseline? baseline = null
)

Visual Basic

Public Shared Function AnalyzeXBarS ( 
	observations As ReadOnlySpan(Of Double),
	subgroupIds As ReadOnlySpan(Of Integer),
	Optional specifications As SpecificationLimits = Nothing,
	Optional withinSigma As SigmaEstimator = SigmaEstimator.WithinStandardDeviation,
	Optional ruleSet As ControlRuleSet = Nothing,
	Optional normalityTest As NormalityTestKind = NormalityTestKind.AndersonDarling,
	Optional significanceLevel As Double = 0.05,
	Optional assumptionDiagnostics As Boolean = false,
	Optional baseline As StandardBaseline = Nothing
) As ProcessAnalysisResult(Of XBarSChartSetData)

C++/CLI

public:
static ProcessAnalysisResult<XBarSChartSetData^>^ AnalyzeXBarS(
	ReadOnlySpan<double> observations, 
	ReadOnlySpan<int> subgroupIds, 
	SpecificationLimits^ specifications = nullptr, 
	SigmaEstimator withinSigma = SigmaEstimator::WithinStandardDeviation, 
	ControlRuleSet^ ruleSet = nullptr, 
	NormalityTestKind normalityTest = NormalityTestKind::AndersonDarling, 
	double significanceLevel = 0.05, 
	bool assumptionDiagnostics = false, 
	StandardBaseline^ baseline = nullptr
)

static member AnalyzeXBarS : 
        observations : ReadOnlySpan<float> * 
        subgroupIds : ReadOnlySpan<int> * 
        ?specifications : SpecificationLimits * 
        ?withinSigma : SigmaEstimator * 
        ?ruleSet : ControlRuleSet * 
        ?normalityTest : NormalityTestKind * 
        ?significanceLevel : float * 
        ?assumptionDiagnostics : bool * 
        ?baseline : StandardBaseline 
(* Defaults:
        let _specifications = defaultArg specifications null
        let _withinSigma = defaultArg withinSigma SigmaEstimator.WithinStandardDeviation
        let _ruleSet = defaultArg ruleSet null
        let _normalityTest = defaultArg normalityTest NormalityTestKind.AndersonDarling
        let _significanceLevel = defaultArg significanceLevel 0.05
        let _assumptionDiagnostics = defaultArg assumptionDiagnostics false
        let _baseline = defaultArg baseline null
*)
-> ProcessAnalysisResult<XBarSChartSetData>

Parameters

observations ReadOnlySpan<Double>: The ordered sequence of measurements.
subgroupIds ReadOnlySpan<Int32>: Integer subgroup identifiers, one per observation, in the same order as observations.
specifications SpecificationLimits (Optional): Optional specification limits used to compute capability metrics. When null no capability analysis is performed.
withinSigma SigmaEstimator (Optional): The sigma estimator to use for capability analysis. Defaults to WithinStandardDeviation.
ruleSet ControlRuleSet (Optional): Optional rule set used to evaluate Nelson or Western Electric rules on the XBar series. When null no rule evaluation is performed.
normalityTest NormalityTestKind (Optional): The normality test to apply when assumptionDiagnostics is true. Defaults to AndersonDarling.
significanceLevel Double (Optional): The significance level for the normality test. Defaults to 0.05.
assumptionDiagnostics Boolean (Optional): When true, performs normality testing and out-of-control signal detection to populate Assumptions. Defaults to false.
baseline StandardBaseline (Optional): When non-null, runs in Phase II mode: chart limits are taken from the frozen baseline. Defaults to null (Phase I).

Return Value

ProcessAnalysisResult<XBarSChartSetData>
A ProcessAnalysisResult<TChartData> containing chart data, optional capability result, optional rule result, and diagnostics.

Exceptions

ArgumentException

The inputs are empty, have mismatched lengths, contain non-finite values, have unequal subgroup sizes, or withinSigma is incompatible with the input.

AnalyzeXBarS(Vector<Double>, IGrouping, SpecificationLimits, SigmaEstimator, ControlRuleSet, NormalityTestKind, Double, Boolean, StandardBaseline)

Performs an XBar–S analysis on a vector of observations with an associated grouping.

public static ProcessAnalysisResult<XBarSChartSetData> AnalyzeXBarS(
	Vector<double> observations,
	IGrouping grouping,
	SpecificationLimits? specifications = null,
	SigmaEstimator withinSigma = SigmaEstimator.WithinStandardDeviation,
	ControlRuleSet? ruleSet = null,
	NormalityTestKind normalityTest = NormalityTestKind.AndersonDarling,
	double significanceLevel = 0.05,
	bool assumptionDiagnostics = false,
	StandardBaseline? baseline = null
)

Visual Basic

Public Shared Function AnalyzeXBarS ( 
	observations As Vector(Of Double),
	grouping As IGrouping,
	Optional specifications As SpecificationLimits = Nothing,
	Optional withinSigma As SigmaEstimator = SigmaEstimator.WithinStandardDeviation,
	Optional ruleSet As ControlRuleSet = Nothing,
	Optional normalityTest As NormalityTestKind = NormalityTestKind.AndersonDarling,
	Optional significanceLevel As Double = 0.05,
	Optional assumptionDiagnostics As Boolean = false,
	Optional baseline As StandardBaseline = Nothing
) As ProcessAnalysisResult(Of XBarSChartSetData)

C++/CLI

public:
static ProcessAnalysisResult<XBarSChartSetData^>^ AnalyzeXBarS(
	Vector<double>^ observations, 
	IGrouping^ grouping, 
	SpecificationLimits^ specifications = nullptr, 
	SigmaEstimator withinSigma = SigmaEstimator::WithinStandardDeviation, 
	ControlRuleSet^ ruleSet = nullptr, 
	NormalityTestKind normalityTest = NormalityTestKind::AndersonDarling, 
	double significanceLevel = 0.05, 
	bool assumptionDiagnostics = false, 
	StandardBaseline^ baseline = nullptr
)

static member AnalyzeXBarS : 
        observations : Vector<float> * 
        grouping : IGrouping * 
        ?specifications : SpecificationLimits * 
        ?withinSigma : SigmaEstimator * 
        ?ruleSet : ControlRuleSet * 
        ?normalityTest : NormalityTestKind * 
        ?significanceLevel : float * 
        ?assumptionDiagnostics : bool * 
        ?baseline : StandardBaseline 
(* Defaults:
        let _specifications = defaultArg specifications null
        let _withinSigma = defaultArg withinSigma SigmaEstimator.WithinStandardDeviation
        let _ruleSet = defaultArg ruleSet null
        let _normalityTest = defaultArg normalityTest NormalityTestKind.AndersonDarling
        let _significanceLevel = defaultArg significanceLevel 0.05
        let _assumptionDiagnostics = defaultArg assumptionDiagnostics false
        let _baseline = defaultArg baseline null
*)
-> ProcessAnalysisResult<XBarSChartSetData>

Parameters

observations Vector<Double>: The ordered sequence of measurements.
grouping IGrouping: The grouping that assigns each observation to a subgroup.
specifications SpecificationLimits (Optional): Optional specification limits used to compute capability metrics. When null no capability analysis is performed.
withinSigma SigmaEstimator (Optional): The sigma estimator to use for capability analysis. Defaults to WithinStandardDeviation.
ruleSet ControlRuleSet (Optional): Optional rule set used to evaluate Nelson or Western Electric rules on the XBar series. When null no rule evaluation is performed.
normalityTest NormalityTestKind (Optional): The normality test to apply when assumptionDiagnostics is true. Defaults to AndersonDarling.
significanceLevel Double (Optional): The significance level for the normality test. Defaults to 0.05.
assumptionDiagnostics Boolean (Optional): When true, performs normality testing and out-of-control signal detection to populate Assumptions. Defaults to false.
baseline StandardBaseline (Optional): When non-null, runs in Phase II mode: chart limits are taken from the frozen baseline. Defaults to null (Phase I).

Return Value

ProcessAnalysisResult<XBarSChartSetData>
A ProcessAnalysisResult<TChartData> containing chart data, optional capability result, optional rule result, and diagnostics.

Exceptions

ArgumentNullException	observations or grouping is null.
ArgumentException	The input is empty, contains non-finite values, has unequal subgroup sizes, or withinSigma is incompatible with the input.

ProcessAnalysis.AnalyzeXBarS Method

Definition

Overload List

AnalyzeXBarS(Matrix<Double>, SpecificationLimits, SigmaEstimator, ControlRuleSet, NormalityTestKind, Double, Boolean, StandardBaseline)

Parameters

Return Value

Exceptions

AnalyzeXBarS(ReadOnlySpan<Double>, ReadOnlySpan<Int32>, SpecificationLimits, SigmaEstimator, ControlRuleSet, NormalityTestKind, Double, Boolean, StandardBaseline)

Parameters

Return Value

Exceptions

AnalyzeXBarS(Vector<Double>, IGrouping, SpecificationLimits, SigmaEstimator, ControlRuleSet, NormalityTestKind, Double, Boolean, StandardBaseline)

Parameters

Return Value

Exceptions

See Also

Reference