ROOT
6.07/01
Reference Guide
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NeymanConstruction is a concrete implementation of the NeymanConstruction interface that, as the name suggests, performs a NeymanConstruction.
It produces a RooStats::PointSetInterval, which is a concrete implementation of the ConfInterval interface.
The Neyman Construction is not a uniquely defined statistical technique, it requires that one specify an ordering rule or ordering principle, which is usually incoded by choosing a specific test statistic and limits of integration (corresponding to upper/lower/central limits). As a result, this class must be configured with the corresponding information before it can produce an interval. Common configurations, such as the Feldman-Cousins approach, can be enforced by other light weight classes.
The Neyman Construction considers every point in the parameter space independently, no assumptions are made that the interval is connected or of a particular shape. As a result, the PointSetInterval class is used to represent the result. The user indicate which points in the parameter space to perform the constrution by providing a PointSetInterval instance with the desired points.
This class is fairly light weight, because the choice of parameter points to be considered is factorized and so is the creation of the sampling distribution of the test statistic (which is done by a concrete class implementing the DistributionCreator interface). As a result, this class basically just drives the construction by:
using a DistributionCreator to create the SamplingDistribution of a user-defined test statistic for each parameter point of interest, defining the acceptance region in the data by finding the thresholds on the test statistic such that the integral of the sampling distribution is of the appropriate size and consistent with the limits of integration (eg. upper/lower/central limits), and finally updating the PointSetInterval based on whether the value of the test statistic evaluated on the data are in the acceptance region.
Definition at line 58 of file NeymanConstruction.h.
Public Member Functions | |
NeymanConstruction (RooAbsData &data, ModelConfig &model) | |
NeymanConstruction();. More... | |
virtual | ~NeymanConstruction () |
default constructor if(fOwnsWorkspace && fWS) delete fWS; if(fConfBelt) delete fConfBelt; More... | |
virtual PointSetInterval * | GetInterval () const |
Main interface to get a ConfInterval (will be a PointSetInterval) More... | |
void | SetTestStatSampler (TestStatSampler &sampler) |
in addition to interface we also need: Set the TestStatSampler (eg. More... | |
void | SetLeftSideTailFraction (Double_t leftSideFraction=0.) |
fLeftSideTailFraction*fSize defines lower edge of acceptance region. More... | |
void | SetParameterPointsToTest (RooAbsData &pointsToTest) |
User-defined set of points to test. More... | |
virtual Double_t | Size () const |
This class can make regularly spaced scans based on range stored in RooRealVars. More... | |
virtual Double_t | ConfidenceLevel () const |
Get the Confidence level for the test. More... | |
virtual void | SetModel (const ModelConfig &model) |
Set ModelConfig. More... | |
virtual void | SetData (RooAbsData &data) |
Set the DataSet. More... | |
virtual void | SetPdf (RooAbsPdf &) |
Set the Pdf, add to the the workspace if not already there. More... | |
virtual void | SetParameters (const RooArgSet &) |
specify the parameters of interest in the interval More... | |
virtual void | SetNuisanceParameters (const RooArgSet &) |
specify the nuisance parameters (eg. the rest of the parameters) More... | |
virtual void | SetTestSize (Double_t size) |
set the size of the test (rate of Type I error) ( Eg. 0.05 for a 95% Confidence Interval) More... | |
virtual void | SetConfidenceLevel (Double_t cl) |
set the confidence level for the interval (eg. 0.95 for a 95% Confidence Interval) More... | |
ConfidenceBelt * | GetConfidenceBelt () |
get confidence belt More... | |
void | UseAdaptiveSampling (bool flag=true) |
adaptive sampling algorithm to speed up interval caculation More... | |
void | AdditionalNToysFactor (double fact) |
give user ability to ask for more toys More... | |
void | SaveBeltToFile (bool flag=true) |
save teh confidence belt to a file More... | |
void | CreateConfBelt (bool flag=true) |
should create confidence belt More... | |
TestStatSampler * | GetTestStatSampler (void) |
Returns instance of TestStatSampler. More... | |
Public Member Functions inherited from RooStats::IntervalCalculator | |
virtual | ~IntervalCalculator () |
Private Attributes | |
Double_t | fSize |
RooAbsData & | fData |
size of the test (eg. specified rate of Type I error) More... | |
ModelConfig & | fModel |
data set More... | |
TestStatSampler * | fTestStatSampler |
RooAbsData * | fPointsToTest |
Double_t | fLeftSideFraction |
ConfidenceBelt * | fConfBelt |
bool | fAdaptiveSampling |
Double_t | fAdditionalNToysFactor |
bool | fSaveBeltToFile |
bool | fCreateBelt |
#include <RooStats/NeymanConstruction.h>
NeymanConstruction::NeymanConstruction | ( | RooAbsData & | data, |
ModelConfig & | model | ||
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Definition at line 52 of file NeymanConstruction.cxx.
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default constructor if(fOwnsWorkspace && fWS) delete fWS; if(fConfBelt) delete fConfBelt;
Definition at line 78 of file NeymanConstruction.cxx.
give user ability to ask for more toys
Definition at line 129 of file NeymanConstruction.h.
Referenced by RooStats::FeldmanCousins::GetInterval().
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Get the Confidence level for the test.
Implements RooStats::IntervalCalculator.
Definition at line 94 of file NeymanConstruction.h.
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should create confidence belt
Definition at line 137 of file NeymanConstruction.h.
Referenced by RooStats::FeldmanCousins::GetInterval().
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get confidence belt
Definition at line 123 of file NeymanConstruction.h.
Referenced by RooStats::FeldmanCousins::GetInterval().
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Main interface to get a ConfInterval (will be a PointSetInterval)
Main interface to get a RooStats::ConfInterval.
It constructs a RooStats::SetInterval.
Implements RooStats::IntervalCalculator.
Definition at line 85 of file NeymanConstruction.cxx.
Referenced by RooStats::FeldmanCousins::GetInterval().
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Returns instance of TestStatSampler.
Use to change properties of TestStatSampler, e.g. GetTestStatSampler.SetTestSize(Double_t size);
Definition at line 141 of file NeymanConstruction.h.
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save teh confidence belt to a file
Definition at line 132 of file NeymanConstruction.h.
Referenced by RooStats::FeldmanCousins::GetInterval().
set the confidence level for the interval (eg. 0.95 for a 95% Confidence Interval)
Implements RooStats::IntervalCalculator.
Definition at line 120 of file NeymanConstruction.h.
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Set the DataSet.
Implements RooStats::IntervalCalculator.
Definition at line 100 of file NeymanConstruction.h.
Referenced by RooStats::FeldmanCousins::GetInterval().
fLeftSideTailFraction*fSize defines lower edge of acceptance region.
Unified limits use 0, central limits use 0.5, for upper/lower limits it is 0/1 depends on sign of test statistic w.r.t. parameter
Definition at line 76 of file NeymanConstruction.h.
Referenced by RooStats::FeldmanCousins::GetInterval().
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Set ModelConfig.
Implements RooStats::IntervalCalculator.
Definition at line 97 of file NeymanConstruction.h.
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specify the nuisance parameters (eg. the rest of the parameters)
Definition at line 113 of file NeymanConstruction.h.
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User-defined set of points to test.
Definition at line 79 of file NeymanConstruction.h.
Referenced by RooStats::FeldmanCousins::GetInterval().
specify the parameters of interest in the interval
Definition at line 108 of file NeymanConstruction.h.
Set the Pdf, add to the the workspace if not already there.
Definition at line 103 of file NeymanConstruction.h.
set the size of the test (rate of Type I error) ( Eg. 0.05 for a 95% Confidence Interval)
Implements RooStats::IntervalCalculator.
Definition at line 118 of file NeymanConstruction.h.
Referenced by RooStats::FeldmanCousins::GetInterval().
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in addition to interface we also need: Set the TestStatSampler (eg.
ToyMC or FFT, includes choice of TestStatistic)
Definition at line 72 of file NeymanConstruction.h.
Referenced by RooStats::FeldmanCousins::GetInterval().
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This class can make regularly spaced scans based on range stored in RooRealVars.
Choose number of steps for a rastor scan (common for each dimension) void SetNumSteps(Int_t); This class can make regularly spaced scans based on range stored in RooRealVars. Choose number of steps for a rastor scan (specific for each dimension) void SetNumSteps(std::map<RooAbsArg, Int_t>) Get the size of the test (eg. rate of Type I error)
Implements RooStats::IntervalCalculator.
Definition at line 91 of file NeymanConstruction.h.
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adaptive sampling algorithm to speed up interval caculation
Definition at line 126 of file NeymanConstruction.h.
Referenced by RooStats::FeldmanCousins::GetInterval().
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Definition at line 159 of file NeymanConstruction.h.
Referenced by GetInterval(), and UseAdaptiveSampling().
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Definition at line 160 of file NeymanConstruction.h.
Referenced by AdditionalNToysFactor(), and GetInterval().
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Definition at line 158 of file NeymanConstruction.h.
Referenced by GetConfidenceBelt(), GetInterval(), and SetParameterPointsToTest().
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Definition at line 162 of file NeymanConstruction.h.
Referenced by CreateConfBelt(), GetInterval(), and SaveBeltToFile().
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size of the test (eg. specified rate of Type I error)
Definition at line 147 of file NeymanConstruction.h.
Referenced by GetInterval(), and SetData().
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Definition at line 157 of file NeymanConstruction.h.
Referenced by GetInterval(), and SetLeftSideTailFraction().
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data set
Definition at line 148 of file NeymanConstruction.h.
Referenced by GetInterval(), and SetModel().
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Definition at line 156 of file NeymanConstruction.h.
Referenced by GetInterval(), and SetParameterPointsToTest().
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Definition at line 161 of file NeymanConstruction.h.
Referenced by GetInterval(), and SaveBeltToFile().
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Definition at line 146 of file NeymanConstruction.h.
Referenced by ConfidenceLevel(), GetInterval(), SetConfidenceLevel(), SetTestSize(), and Size().
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Definition at line 155 of file NeymanConstruction.h.
Referenced by GetInterval(), GetTestStatSampler(), and SetTestStatSampler().