Hypothesis Test Calculator based on the asymptotic formulae for the profile likelihood ratio.

See G. Cowan, K. Cranmer, E. Gross and O. Vitells: Asymptotic formulae for likelihood- based tests of new physics. Eur. Phys. J., C71:1–19, 2011. It provides method to perform an hypothesis tests using the likelihood function and computes the p values for the null and the alternate using the asymptotic formulae for the profile likelihood ratio described in the given paper.

The calculator provides methods to produce the Asimov dataset, i.e a dataset generated where the observade values are equal to the expected ones. The Asimov data set is then used to compute the observed asymptotic p-value for the alternate hypothesis and the asympotic expected p-values.

The asymptotic formulae are valid only for one POI (parameter of interest). So the calculator works only for one-dimesional (one POI) model. If more than one POI exists consider as POI only the first one is used.

Definition at line 46 of file AsymptoticCalculator.h.

Public Member Functions
	AsymptoticCalculator (RooAbsData &data, const ModelConfig &altModel, const ModelConfig &nullModel, bool nominalAsimov=false)

	~AsymptoticCalculator ()

const RooArgSet &	GetBestFitParams () const
	return best fit value for all parameters More...

const RooArgSet &	GetBestFitPoi () const
	return snapshot of the best fit parameter More...

virtual HypoTestResult *	GetHypoTest () const
	re-implement HypoTest computation using the asymptotic More...

const RooRealVar *	GetMuHat () const
	return best fit parameter (firs of poi) More...

bool	Initialize () const
	initialize the calculator by performin g a global fit and make the Asimov data set More...

bool	IsOneSidedDiscovery () const

bool	IsTwoSided () const

virtual void	SetAlternateModel (const ModelConfig &altModel)

virtual void	SetData (RooAbsData &data)

virtual void	SetNullModel (const ModelConfig &nullModel)
	re-implementation of setters since they are needed to re-initialize the calculator More...

void	SetOneSided (bool on)
	set test statistic for one sided (upper limits) More...

void	SetOneSidedDiscovery (bool on)
	set the test statistics for one-sided discovery More...

void	SetQTilde (bool on)
	set using of qtilde, by default is controlled if RoORealVar is limited or not More...

void	SetTwoSided ()
	set the test statistics for two sided (in case of upper limits for discovery does not make really sense) More...

Public Member Functions inherited from RooStats::HypoTestCalculatorGeneric
	HypoTestCalculatorGeneric (const RooAbsData &data, const ModelConfig &altModel, const ModelConfig &nullModel, TestStatSampler *sampler=0)
	Constructor. More...

	~HypoTestCalculatorGeneric ()

const ModelConfig *	GetAlternateModel (void) const

const RooAbsData *	GetData (void) const

virtual const RooArgSet *	GetFitInfo () const

const ModelConfig *	GetNullModel (void) const

TestStatSampler *	GetTestStatSampler (void) const

void	UseSameAltToys ()
	to re-use same toys for alternate hypothesis More...

Public Member Functions inherited from RooStats::HypoTestCalculator
virtual	~HypoTestCalculator ()

virtual void	SetCommonModel (const ModelConfig &model)

Static Public Member Functions
static RooAbsData *	GenerateAsimovData (const RooAbsPdf &pdf, const RooArgSet &observables)

static double	GetExpectedPValues (double pnull, double palt, double nsigma, bool usecls, bool oneSided=true)
	function given the null and the alt p value - return the expected one given the N - sigma value More...

static RooAbsData *	MakeAsimovData (RooAbsData &data, const ModelConfig &model, const RooArgSet &poiValues, RooArgSet &globObs, const RooArgSet *genPoiValues=0)
	make the asimov data from the ModelConfig and list of poi - return data set annd snapshoot of global obs poiValues is the snapshot of POI used for finding the best buisance parameter values (conditioned at these values) genPoiValues is optionally a different set of POI values used for generating. More...

static RooAbsData *	MakeAsimovData (const ModelConfig &model, const RooArgSet &allParamValues, RooArgSet &globObs)
	make a nominal asimov data from the ModelConfig and parameter values The parameter values (including the nunisance) could be given from a fit to data or be at the nominal values More...

static void	SetPrintLevel (int level)

Static Protected Member Functions
static double	EvaluateNLL (RooAbsPdf &pdf, RooAbsData &data, const RooArgSet condObs, const RooArgSet poiSet=0)

static void	FillBins (const RooAbsPdf &pdf, const RooArgList &obs, RooAbsData &data, int &index, double &binVolume, int &ibin)

static RooAbsData *	GenerateAsimovDataSinglePdf (const RooAbsPdf &pdf, const RooArgSet &obs, const RooRealVar &weightVar, RooCategory *channelCat=0)

static RooAbsData *	GenerateCountingAsimovData (RooAbsPdf &pdf, const RooArgSet &obs, const RooRealVar &weightVar, RooCategory *channelCat=0)

static bool	SetObsToExpected (RooAbsPdf &pdf, const RooArgSet &obs)

static bool	SetObsToExpected (RooProdPdf &prod, const RooArgSet &obs)

Private Attributes
RooAbsData *	fAsimovData

RooArgSet	fAsimovGlobObs

RooArgSet	fBestFitParams

RooArgSet	fBestFitPoi

bool	fIsInitialized

double	fNLLAsimov

double	fNLLObs

bool	fNominalAsimov

bool	fOneSided

bool	fOneSidedDiscovery

int	fUseQTilde
	flag to check if calculator is initialized More...

Static Private Attributes
static int	fgPrintLevel = 1

Additional Inherited Members
Protected Member Functions inherited from RooStats::HypoTestCalculatorGeneric
virtual int	CheckHook (void) const

virtual void	PostHook () const

virtual int	PreAltHook (RooArgSet *, double) const

virtual void	PreHook () const

virtual int	PreNullHook (RooArgSet *, double) const

Protected Attributes inherited from RooStats::HypoTestCalculatorGeneric
const ModelConfig *	fAltModel

unsigned int	fAltToysSeed

const RooAbsData *	fData

TestStatSampler *	fDefaultSampler

TestStatistic *	fDefaultTestStat

const ModelConfig *	fNullModel

TestStatSampler *	fTestStatSampler

#include <RooStats/AsymptoticCalculator.h>

Inheritance diagram for RooStats::AsymptoticCalculator:

[legend]

Constructor & Destructor Documentation

◆ AsymptoticCalculator()

AsymptoticCalculator::AsymptoticCalculator	(	RooAbsData &	data,
		const ModelConfig &	altModel,
		const ModelConfig &	nullModel,
		bool	nominalAsimov = `false`
	)

Definition at line 65 of file AsymptoticCalculator.cxx.

◆ ~AsymptoticCalculator()

RooStats::AsymptoticCalculator::~AsymptoticCalculator ( )

inline

Definition at line 59 of file AsymptoticCalculator.h.

Member Function Documentation

◆ EvaluateNLL()

Double_t AsymptoticCalculator::EvaluateNLL	(	RooAbsPdf &	pdf,
		RooAbsData &	data,
		const RooArgSet *	condObs,
		const RooArgSet *	poiSet = `0`
	)

staticprotected

Definition at line 262 of file AsymptoticCalculator.cxx.

◆ FillBins()

void AsymptoticCalculator::FillBins	(	const RooAbsPdf &	pdf,
		const RooArgList &	obs,
		RooAbsData &	data,
		int &	index,
		double &	binVolume,
		int &	ibin
	)

staticprotected

Definition at line 819 of file AsymptoticCalculator.cxx.

◆ GenerateAsimovData()

RooAbsData * AsymptoticCalculator::GenerateAsimovData	(	const RooAbsPdf &	pdf,
		const RooArgSet &	observables
	)

static

Definition at line 1082 of file AsymptoticCalculator.cxx.

◆ GenerateAsimovDataSinglePdf()

RooAbsData * AsymptoticCalculator::GenerateAsimovDataSinglePdf	(	const RooAbsPdf &	pdf,
		const RooArgSet &	obs,
		const RooRealVar &	weightVar,
		RooCategory *	channelCat = `0`
	)

staticprotected

Definition at line 1004 of file AsymptoticCalculator.cxx.

◆ GenerateCountingAsimovData()

RooAbsData * AsymptoticCalculator::GenerateCountingAsimovData	(	RooAbsPdf &	pdf,
		const RooArgSet &	obs,
		const RooRealVar &	weightVar,
		RooCategory *	channelCat = `0`
	)

staticprotected

Definition at line 969 of file AsymptoticCalculator.cxx.

◆ GetBestFitParams()

const RooArgSet& RooStats::AsymptoticCalculator::GetBestFitParams ( ) const

inline

return best fit value for all parameters

Definition at line 122 of file AsymptoticCalculator.h.

◆ GetBestFitPoi()

const RooArgSet& RooStats::AsymptoticCalculator::GetBestFitPoi ( ) const

inline

return snapshot of the best fit parameter

Definition at line 118 of file AsymptoticCalculator.h.

◆ GetExpectedPValues()

double AsymptoticCalculator::GetExpectedPValues	(	double	pnull,
		double	palt,
		double	nsigma,
		bool	usecls,
		bool	oneSided = `true`
	)

static

function given the null and the alt p value - return the expected one given the N - sigma value

Definition at line 771 of file AsymptoticCalculator.cxx.

◆ GetHypoTest()

HypoTestResult * AsymptoticCalculator::GetHypoTest ( ) const

virtual

re-implement HypoTest computation using the asymptotic

It performs an hypothesis tests using the likelihood function and computes the p values for the null and the alternate using the asymptotic formulae for the profile likelihood ratio.

See G. Cowan, K. Cranmer, E. Gross and O. Vitells. Asymptotic formulae for likelihood- based tests of new physics. Eur. Phys. J., C71:1–19, 2011. The formulae are valid only for one POI. If more than one POI exists consider as POI only the first one

Reimplemented from RooStats::HypoTestCalculatorGeneric.

Definition at line 442 of file AsymptoticCalculator.cxx.

◆ GetMuHat()

const RooRealVar* RooStats::AsymptoticCalculator::GetMuHat ( ) const

inline

return best fit parameter (firs of poi)

Definition at line 120 of file AsymptoticCalculator.h.

◆ Initialize()

bool AsymptoticCalculator::Initialize ( ) const

initialize the calculator by performin g a global fit and make the Asimov data set

Definition at line 94 of file AsymptoticCalculator.cxx.

◆ IsOneSidedDiscovery()

bool RooStats::AsymptoticCalculator::IsOneSidedDiscovery ( ) const

inline

Definition at line 111 of file AsymptoticCalculator.h.

◆ IsTwoSided()

bool RooStats::AsymptoticCalculator::IsTwoSided ( ) const

inline

Definition at line 110 of file AsymptoticCalculator.h.

◆ MakeAsimovData() [1/2]

RooAbsData * AsymptoticCalculator::MakeAsimovData	(	RooAbsData &	realData,
		const ModelConfig &	model,
		const RooArgSet &	paramValues,
		RooArgSet &	asimovGlobObs,
		const RooArgSet *	genPoiValues = `0`
	)

static

make the asimov data from the ModelConfig and list of poi - return data set annd snapshoot of global obs poiValues is the snapshot of POI used for finding the best buisance parameter values (conditioned at these values) genPoiValues is optionally a different set of POI values used for generating.

static function to the an Asimov data set given an observed dat set, a model and a snapshot of poi.

By default the same POI are used for generating and for finding the nuisance parameters

Return the asimov data set + global observables set to values satisfying the constraints

Definition at line 1154 of file AsymptoticCalculator.cxx.

◆ MakeAsimovData() [2/2]

RooAbsData * AsymptoticCalculator::MakeAsimovData	(	const ModelConfig &	model,
		const RooArgSet &	allParamValues,
		RooArgSet &	globObs
	)

static

make a nominal asimov data from the ModelConfig and parameter values The parameter values (including the nunisance) could be given from a fit to data or be at the nominal values

static function to the an Asimov data set given the model and the values of all parameters including the nuisance Return the asimov data set + global observables set to values satisfying the constraints

Definition at line 1257 of file AsymptoticCalculator.cxx.

◆ SetAlternateModel()

virtual void RooStats::AsymptoticCalculator::SetAlternateModel ( const ModelConfig & altModel )

inlinevirtual

Reimplemented from RooStats::HypoTestCalculatorGeneric.

Definition at line 100 of file AsymptoticCalculator.h.

◆ SetData()

virtual void RooStats::AsymptoticCalculator::SetData ( RooAbsData & data )

inlinevirtual

Reimplemented from RooStats::HypoTestCalculatorGeneric.

Definition at line 104 of file AsymptoticCalculator.h.

◆ SetNullModel()

virtual void RooStats::AsymptoticCalculator::SetNullModel ( const ModelConfig & nullModel )

inlinevirtual

re-implementation of setters since they are needed to re-initialize the calculator

Reimplemented from RooStats::HypoTestCalculatorGeneric.

Definition at line 96 of file AsymptoticCalculator.h.

◆ SetObsToExpected() [1/2]

bool AsymptoticCalculator::SetObsToExpected	(	RooAbsPdf &	pdf,
		const RooArgSet &	obs
	)

staticprotected

Definition at line 913 of file AsymptoticCalculator.cxx.

◆ SetObsToExpected() [2/2]

bool AsymptoticCalculator::SetObsToExpected	(	RooProdPdf &	prod,
		const RooArgSet &	obs
	)

staticprotected

Definition at line 883 of file AsymptoticCalculator.cxx.

◆ SetOneSided()

void RooStats::AsymptoticCalculator::SetOneSided ( bool on )

inline

set test statistic for one sided (upper limits)

Definition at line 86 of file AsymptoticCalculator.h.

◆ SetOneSidedDiscovery()

void RooStats::AsymptoticCalculator::SetOneSidedDiscovery ( bool on )

inline

set the test statistics for one-sided discovery

Definition at line 93 of file AsymptoticCalculator.h.

◆ SetPrintLevel()

void AsymptoticCalculator::SetPrintLevel ( int level )

static

Definition at line 58 of file AsymptoticCalculator.cxx.

◆ SetQTilde()

void RooStats::AsymptoticCalculator::SetQTilde ( bool on )

inline

set using of qtilde, by default is controlled if RoORealVar is limited or not

Definition at line 115 of file AsymptoticCalculator.h.

◆ SetTwoSided()

void RooStats::AsymptoticCalculator::SetTwoSided ( )

inline

set the test statistics for two sided (in case of upper limits for discovery does not make really sense)

Definition at line 90 of file AsymptoticCalculator.h.

Member Data Documentation

◆ fAsimovData

RooAbsData* RooStats::AsymptoticCalculator::fAsimovData

mutableprivate

Definition at line 163 of file AsymptoticCalculator.h.

◆ fAsimovGlobObs

RooArgSet RooStats::AsymptoticCalculator::fAsimovGlobObs

mutableprivate

Definition at line 164 of file AsymptoticCalculator.h.

◆ fBestFitParams

RooArgSet RooStats::AsymptoticCalculator::fBestFitParams

mutableprivate

Definition at line 166 of file AsymptoticCalculator.h.

◆ fBestFitPoi

RooArgSet RooStats::AsymptoticCalculator::fBestFitPoi

mutableprivate

Definition at line 165 of file AsymptoticCalculator.h.

◆ fgPrintLevel

int AsymptoticCalculator::fgPrintLevel = 1

staticprivate

Definition at line 159 of file AsymptoticCalculator.h.

◆ fIsInitialized

bool RooStats::AsymptoticCalculator::fIsInitialized

mutableprivate

Definition at line 157 of file AsymptoticCalculator.h.

◆ fNLLAsimov

double RooStats::AsymptoticCalculator::fNLLAsimov

mutableprivate

Definition at line 161 of file AsymptoticCalculator.h.

◆ fNLLObs

double RooStats::AsymptoticCalculator::fNLLObs

mutableprivate

Definition at line 160 of file AsymptoticCalculator.h.

◆ fNominalAsimov

bool RooStats::AsymptoticCalculator::fNominalAsimov

private

Definition at line 156 of file AsymptoticCalculator.h.

◆ fOneSided

bool RooStats::AsymptoticCalculator::fOneSided

private

Definition at line 154 of file AsymptoticCalculator.h.

◆ fOneSidedDiscovery

bool RooStats::AsymptoticCalculator::fOneSidedDiscovery

mutableprivate

Definition at line 155 of file AsymptoticCalculator.h.

◆ fUseQTilde

int RooStats::AsymptoticCalculator::fUseQTilde

mutableprivate

flag to check if calculator is initialized

Definition at line 158 of file AsymptoticCalculator.h.

The documentation for this class was generated from the following files:

roofit/roostats/inc/RooStats/AsymptoticCalculator.h
roofit/roostats/src/AsymptoticCalculator.cxx

Public Member Functions

Static Public Member Functions

Static Protected Member Functions

Private Attributes

Static Private Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ AsymptoticCalculator()

◆ ~AsymptoticCalculator()

Member Function Documentation

◆ EvaluateNLL()

◆ FillBins()

◆ GenerateAsimovData()

◆ GenerateAsimovDataSinglePdf()

◆ GenerateCountingAsimovData()

◆ GetBestFitParams()

◆ GetBestFitPoi()

◆ GetExpectedPValues()

◆ GetHypoTest()

◆ GetMuHat()

◆ Initialize()

◆ IsOneSidedDiscovery()

◆ IsTwoSided()

◆ MakeAsimovData() [1/2]

◆ MakeAsimovData() [2/2]

◆ SetAlternateModel()

◆ SetData()

◆ SetNullModel()

◆ SetObsToExpected() [1/2]

◆ SetObsToExpected() [2/2]

◆ SetOneSided()

◆ SetOneSidedDiscovery()

◆ SetPrintLevel()

◆ SetQTilde()

◆ SetTwoSided()

Member Data Documentation

◆ fAsimovData

◆ fAsimovGlobObs

◆ fBestFitParams

◆ fBestFitPoi

◆ fgPrintLevel

◆ fIsInitialized

◆ fNLLAsimov

◆ fNLLObs

◆ fNominalAsimov

◆ fOneSided

◆ fOneSidedDiscovery

◆ fUseQTilde