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JCOMPAREHISTOGRAMS::JTestRuns_t Class Reference

Implementation of the different Runs-related tests. More...

#include <JTestRuns_t.hh>

Inheritance diagram for JCOMPAREHISTOGRAMS::JTestRuns_t:
JCOMPAREHISTOGRAMS::JTestRuns_1D JCOMPAREHISTOGRAMS::JTestRuns_2D

Public Member Functions

 JTestRuns_t ()
 Default constructor. More...
 
JTestResult JRunsTest (TH1 *h1, TH1 *h2, double threshold, std::string testName, std::string parameterName)
 Implements the Wald-Wolfowitx runs test: https://en.wikipedia.org/wiki/Wald%E2%80%93Wolfowitz_runs_test In this, an expected number of runs and a standard deviation are computed from the number of bins and the number of "aboves" and "belows". More...
 
JTestResult JRunsTestSlice (TH2 *h1, TH2 *h2, double threshold, double failuresThreshold, std::string testName, std::string parameterName, char slice)
 Runs test for sliced 2D histograms. More...
 

Detailed Description

Implementation of the different Runs-related tests.

Definition at line 20 of file JTestRuns_t.hh.

Constructor & Destructor Documentation

JCOMPAREHISTOGRAMS::JTestRuns_t::JTestRuns_t ( )
inline

Default constructor.

Definition at line 26 of file JTestRuns_t.hh.

26 {}

Member Function Documentation

JTestResult JCOMPAREHISTOGRAMS::JTestRuns_t::JRunsTest ( TH1 *  h1,
TH1 *  h2,
double  threshold,
std::string  testName,
std::string  parameterName 
)
inline

Implements the Wald-Wolfowitx runs test: https://en.wikipedia.org/wiki/Wald%E2%80%93Wolfowitz_runs_test In this, an expected number of runs and a standard deviation are computed from the number of bins and the number of "aboves" and "belows".

The test returns the difference between the observed number of runs and the expected number of runs, expressed in standard deviations. This is compared to the threshold input parameter.

Parameters
h1First histogram
h2Second histogram
threshold
parameterNameName of the parameter used to test the histograms
testNameName of the test used to compare the histograms

Definition at line 40 of file JTestRuns_t.hh.

40  {
41 
42  using namespace std;
43  using namespace JPP;
44 
45  if(h1 -> GetNbinsX() != h2 -> GetNbinsX())
46  ERROR("Histograms with different bining. The objects: " << h1 -> GetName() << " can not be compared." << endl);
47 
48  double R = h1->Integral();
49  double T = h2->Integral();
50 
51  TH2D* h3 = (TH2D*)h1->Clone(h1->GetName()==h2->GetName() ?
52  MAKE_CSTRING(to_string(h1->GetName())) :
53  MAKE_CSTRING(to_string(h1->GetName()) + "_VS_" + to_string(h2->GetName())));
54 
55  for (int i=1 ; i<h1->GetNbinsX() ; ++i) {
56  h3->SetBinContent(i , (T/R)*h1->GetBinContent(i) - h2->GetBinContent(i));
57  }
58 
59  int n = 1;
60  double p = 0;
61  double q = 0;
62 
63  bool a = ((T/R)*h1->GetBinContent(1) - h2->GetBinContent(1)) < 0;
64 
65  (a ? p++ : q++);
66 
67  for (int i = 2 ; i<h1->GetNbinsX() ; ++i){
68 
69  bool b = ((T/R)*h1->GetBinContent(i) - h2->GetBinContent(i)) < 0;
70 
71  (b ? p++ : q++);
72 
73  if (b != a){
74  n++;
75  a=b;
76  }
77  }
78 
79  const double N = 1 + 2*p*q/(p+q) ;
80  const double s = sqrt( 2*p*q*(2*p*q-p-q)/(p+q)/(p+q)/(p+q-1) );
81  const double d = (n-N)/s;
82 
83  const bool passed = (fabs(d) > threshold ? false : true);
84 
85  JResultTitle title(testName, parameterName , passed , fabs(d));
86 
87  h3->SetTitle(title.getTitle().c_str());
88 
89  JTestResult r (testName,
90  JRootObjectID(MAKE_STRING(h1->GetDirectory()->GetPath() << h1->GetName())),
91  JRootObjectID(MAKE_STRING(h2->GetDirectory()->GetPath() << h1->GetName())),
92  parameterName, fabs(d), threshold, h3, passed);
93 
94  return r;
95  };
MAKE_CSTRING
#define MAKE_CSTRING(A)
Make C-string.
Definition: JPrint.hh:136
JTOOLS::r
data_type r[M+1]
Definition: JPolint.hh:824
MAKE_STRING
#define MAKE_STRING(A)
Make string.
Definition: JPrint.hh:127
JTOOLS::n
const int n
Definition: JPolint.hh:742
a
then JCalibrateToT a
Definition: JTuneHV.sh:113
T
do set_variable OUTPUT_DIRECTORY $WORKDIR T
Definition: JCalibrateHeight.sh:61
ERROR
#define ERROR(A)
Definition: JMessage.hh:66
R
then JCookie sh JDataQuality D $DETECTOR_ID R
Definition: JDataQuality.sh:41
N
then usage $script< input file >[option[primary[working directory]]] nWhere option can be N
Definition: JMuonPostfit.sh:40
d
then JMuonMCEvt f $INPUT_FILE o $INTERMEDIATE_FILE d
Definition: JMuonPath.sh:47
JLANG::to_string
std::string to_string(const T &value)
Convert value to string.
Definition: JLangToolkit.hh:207
JTestResult JCOMPAREHISTOGRAMS::JTestRuns_t::JRunsTestSlice ( TH2 *  h1,
TH2 *  h2,
double  threshold,
double  failuresThreshold,
std::string  testName,
std::string  parameterName,
char  slice 
)
inline

Runs test for sliced 2D histograms.


The histograms are sliced along the axis specified by the slice parameter. A slice per bin is made.
For each of the slices, the input parameter threshold, is used to evaluate whether the test is passed or failed.
The evaluation is done by comparing the threshold value with the result of the Runs test.
The fraction of failed tests is compared to the input parameter failuresThreshold. If this fraction is larger than failuresThreshold, the test fails.

Parameters
h1First histogram
h2Second histogram
thresholdThreshold value for the test result
failuresThresholdThreshold value for the fraction of failed tests.
testNameName of the test used to compare the histograms
parameterNameName of the parameter used to test the histograms
sliceThe axis along which the histogram is sliced.
Returns
Test result.

Definition at line 114 of file JTestRuns_t.hh.

114  {
115 
116  using namespace std;
117  using namespace JPP;
118 
119  int nFailures = 0;
120 
121  JTestResult r;
122 
123  if(slice == 'x' || slice == 'X'){
124 
125  int nSlices1 = h1->GetNbinsX();
126  int nSlices2 = h2->GetNbinsX();
127 
128  TH1* h3 = h1->ProjectionX(MAKE_CSTRING(h1->GetName() << "_VS_" <<
129  h2->GetName() << "_RunsTestSliceX"));
130 
131  if (nSlices1 != nSlices2) {
132  ERROR("Histograms with different binning. The objects: " << h1->GetName() << " and " << h2->GetName() << " can not be compared." << endl);
133  }
134 
135  for (int i=1 ; i<=nSlices1 ; ++i){
136 
137  std::string sliceName = MAKE_STRING(h3->GetName() << "_" << to_string(i));
138 
139  TH1D* s1 = h1->ProjectionY (sliceName.c_str(),i,i);
140  TH1D* s2 = h2->ProjectionY (sliceName.c_str(),i,i);
141 
142  if (!(s1->GetSumOfWeights() > 0 && s2->GetSumOfWeights() > 0)) { continue; }
143 
144  double R = s1->Integral();
145  double T = s2->Integral();
146 
147  int n = 1;
148  double p = 0;
149  double q = 0;
150 
151  bool a = ((T/R)*s1->GetBinContent(1) - s2->GetBinContent(1)) < 0;
152 
153  (a ? p++ : q++);
154 
155  for (int i = 2 ; i<s1->GetNbinsX() ; ++i){
156 
157  bool b = ((T/R)*s1->GetBinContent(i) - s2->GetBinContent(i)) < 0;
158 
159  (b ? p++ : q++);
160 
161  if (b != a){
162  n++;
163  a=b;
164  }
165  }
166 
167  double N = 1 + 2*p*q/(p+q) ;
168  double s = sqrt( 2*p*q*(2*p*q-p-q)/(p+q)/(p+q)/(p+q-1) );
169  double d = (n-N)/s;
170 
171  bool passed = (fabs(d) > threshold ? false : true);
172 
173  if (!passed) nFailures++;
174 
175  h3->SetBinContent(i,fabs(d));
176 
177  }
178 
179  bool passed = (nFailures/nSlices1 > failuresThreshold ? false : true);
180 
181  JResultTitle title(testName, parameterName, passed , nFailures);
182 
183  h3->SetTitle(title.getTitle().c_str());
184 
185  r = JTestResult(testName,
186  JRootObjectID(MAKE_STRING(h1->GetDirectory()->GetPath() << h1->GetName())),
187  JRootObjectID(MAKE_STRING(h2->GetDirectory()->GetPath() << h1->GetName())),
188  parameterName, nFailures, failuresThreshold, h3, passed);
189 
190  }else if (slice == 'y' || slice == 'Y'){
191 
192  int nSlices1 = h1->GetNbinsX();
193  int nSlices2 = h2->GetNbinsX();
194 
195  TH1* h3 = h1->ProjectionY(h1->GetName()==h2->GetName() ?
196  MAKE_CSTRING(to_string(h1->GetName())) :
197  MAKE_CSTRING(to_string(h1->GetName()) + "_VS_" + to_string(h2->GetName())));
198 
199  if(nSlices1 != nSlices2) {
200  ERROR("Histograms with different binning. The objects: " << h1->GetName() << " and " << h2->GetName() << " can not be compared." << endl);
201  }
202 
203  for (int i=1 ; i<=nSlices1 ; ++i){
204 
205  std::string sliceName = MAKE_STRING(h3->GetName() << "_" << to_string(i));
206 
207  TH1D* s1 = h1->ProjectionX (sliceName.c_str(),i,i);
208  TH1D* s2 = h2->ProjectionX (sliceName.c_str(),i,i);
209 
210  if (!(s1->GetSumOfWeights() > 0 && s2->GetSumOfWeights() > 0)) { continue; }
211 
212  double R = s1->Integral();
213  double T = s2->Integral();
214 
215  int n = 1;
216  double p = 0;
217  double q = 0;
218 
219  bool a = ((T/R)*s1->GetBinContent(1) - s2->GetBinContent(1)) < 0;
220 
221  (a ? p++ : q++);
222 
223  for (int i = 2 ; i<s1->GetNbinsX() ; ++i){
224 
225  bool b = ((T/R)*s1->GetBinContent(i) - s2->GetBinContent(i)) < 0;
226 
227  (b ? p++ : q++);
228 
229  if (b != a){
230  n++;
231  a=b;
232  }
233  }
234 
235  double N = 1 + 2*p*q/(p+q) ;
236  double s = sqrt( 2*p*q*(2*p*q-p-q)/(p+q)/(p+q)/(p+q-1) );
237  double d = (n-N)/s;
238 
239  bool passed = (fabs(d) > threshold ? false : true);
240 
241  if (!passed) nFailures++;
242 
243  h3->SetBinContent(i,fabs(d));
244 
245  }
246 
247  bool passed = (nFailures/nSlices1 > failuresThreshold ? false : true);
248 
249  JResultTitle title(testName, parameterName, passed , nFailures);
250 
251  h3->SetTitle(title.getTitle().c_str());
252 
253  r = JTestResult (testName,
254  JRootObjectID(MAKE_STRING(h1->GetDirectory()->GetPath() << h1->GetName())),
255  JRootObjectID(MAKE_STRING(h2->GetDirectory()->GetPath() << h1->GetName())),
256  parameterName, nFailures, failuresThreshold, h3, passed);
257 
258  }
259 
260  return r;
261  };
MAKE_CSTRING
#define MAKE_CSTRING(A)
Make C-string.
Definition: JPrint.hh:136
JTOOLS::r
data_type r[M+1]
Definition: JPolint.hh:824
MAKE_STRING
#define MAKE_STRING(A)
Make string.
Definition: JPrint.hh:127
JTOOLS::n
const int n
Definition: JPolint.hh:742
a
then JCalibrateToT a
Definition: JTuneHV.sh:113
T
do set_variable OUTPUT_DIRECTORY $WORKDIR T
Definition: JCalibrateHeight.sh:61
ERROR
#define ERROR(A)
Definition: JMessage.hh:66
string
then awk string
Definition: pre-calibration.sh:45
R
then JCookie sh JDataQuality D $DETECTOR_ID R
Definition: JDataQuality.sh:41
N
then usage $script< input file >[option[primary[working directory]]] nWhere option can be N
Definition: JMuonPostfit.sh:40
d
then JMuonMCEvt f $INPUT_FILE o $INTERMEDIATE_FILE d
Definition: JMuonPath.sh:47
JLANG::to_string
std::string to_string(const T &value)
Convert value to string.
Definition: JLangToolkit.hh:207
The documentation for this class was generated from the following file:
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