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JTestChi2_t Class Reference

Implementation of the different Chi2-related tests. More...

#include <JTestChi2_t.hh>

Inheritance diagram for JTestChi2_t:
JTestChi2_1D JTestChi2_2D JTestChi2_Bin JTestChi2R_1D JTestChi2R_2D

Public Member Functions

 JTestChi2_t ()
 Default constructor. More...
 
JTestResult JChi2Test (TH1 *h1, TH1 *h2, double threshold, std::string testName, std::string parameterName, std::string options)
 Chi2 test for 1D histograms. More...
 
JTestResult JChi2TestSlice (TH2 *h1, TH2 *h2, double threshold, double failuresThreshold, std::string testName, std::string parameterName, std::string options, char slice)
 Chi2 test for sliced 2D histograms. More...
 
JTestResult JChi2TestBin_2D (TH2 *h1, TH2 *h2, double outliersThreshold, double chi2Threshold, std::string testName, std::string parameterName)
 Bin-by-Bin Chi2 comparison of 2D histograms. More...
 

Detailed Description

Implementation of the different Chi2-related tests.

Author
rgruiz

Definition at line 15 of file JTestChi2_t.hh.

Constructor & Destructor Documentation

JTestChi2_t::JTestChi2_t ( )
inline

Default constructor.

Definition at line 22 of file JTestChi2_t.hh.

22 {}

Member Function Documentation

JTestResult JTestChi2_t::JChi2Test ( TH1 *  h1,
TH1 *  h2,
double  threshold,
std::string  testName,
std::string  parameterName,
std::string  options 
)
inline

Chi2 test for 1D histograms.


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 Chi2 test. The output of a Chi2 test is a p-value.
The parameter threshold should therefore be a real value between 0 and 1.

Parameters
h1First histogram
h2Second histogram
thresholdThreshold value for the test result
parameterNameName of the parameter used to test the histograms
testNameName of the test used to compare the histograms
optionsROOT options for the test.
Returns
Test result.

Definition at line 39 of file JTestChi2_t.hh.

39  {
40 
41  using namespace std;
42  using namespace JPP;
43 
44  if(h1 -> GetNbinsX() != h2 -> GetNbinsX())
45  ERROR("Histograms with different bining. The objects: " << h1 -> GetName() << " can not be compared." << endl);
46 
47  double chi2 = h1 -> Chi2Test (h2 , options.c_str());
48 
49  double M = h1->Integral();
50  double N = h2->Integral();
51 
52  TH2D* h3 = (TH2D*)h1->Clone(h1->GetName()==h2->GetName() ?
53  MAKE_CSTRING(to_string(h1->GetName())) :
54  MAKE_CSTRING(to_string(h1->GetName()) + "_VS_" + to_string(h2->GetName())));
55 
56  h3->Reset();
57 
58  for (int i=1 ; i < h1->GetNbinsX() ; ++i){
59 
60  double m = h1->GetBinContent(i);
61  double n = h2->GetBinContent(i);
62  if(n!=0 && m!=0){
63 
64  double c = (M*n - N*m)/sqrt((n+m)*(N*M));
65  h3->SetBinContent(i,c);
66  }
67  }
68 
69  bool passed;
70 
71  if (options.find("CHI2") != std::string::npos) {
72  (chi2 > threshold ? passed = false : passed = true);
73  }else{
74  (chi2 < threshold ? passed = false : passed = true);
75  }
76 
77  JResultTitle title(testName, parameterName, passed , chi2);
78 
79  h3->SetTitle(title.getTitle().c_str());
80 
81  JTestResult r (testName,
82  string (h1->GetDirectory()->GetPath()).append(h1->GetName()),
83  string (h2->GetDirectory()->GetPath()).append(h2->GetName()),
84  h1->GetDirectory()->GetFile()->GetName(),
85  h2->GetDirectory()->GetFile()->GetName(),
86  parameterName, chi2, threshold, h3, passed);
87 
88  return r;
89 
90  };
M
do $JPP JMEstimator M
Definition: JMEstimator.sh:37
JResultTitle
Class dedicated to standardize the title of the graphical objects produced by the JTest_t() derived c...
Definition: JTest_t.hh:22
MAKE_CSTRING
#define MAKE_CSTRING(A)
Make C-string.
Definition: JPrint.hh:151
h1
then for HISTOGRAM in h0 h1
Definition: JMatrixNZ.sh:71
JTOOLS::r
data_type r[M+1]
Definition: JPolint.hh:742
JTestResult
Structure containing the result of the test.
Definition: JTest_t.hh:164
options
then usage $script[port]< option > nPossible options
Definition: JLigier-local.sh:28
ERROR
#define ERROR(A)
Definition: JMessage.hh:66
n
alias put_queue eval echo n
Definition: qlib.csh:19
JLANG::to_string
std::string to_string(const T &value)
Convert value to string.
Definition: JLangToolkit.hh:207
N
then usage $script[input file[working directory[option]]] nWhere option can be N
Definition: JMuonPostfit.sh:36
JTestResult JTestChi2_t::JChi2TestSlice ( TH2 *  h1,
TH2 *  h2,
double  threshold,
double  failuresThreshold,
std::string  testName,
std::string  parameterName,
std::string  options,
char  slice 
)
inline

Chi2 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 Chi2 test. The output of a Chi2 test is a p-value.
The parameter threshold should therefore be a real value between 0 and 1.
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.
parameterNameName of the parameter used to test the histograms
testNameName of the test used to compare the histograms
optionsROOT options for the test.
sliceThe axis along which the histogram is sliced.
Returns
Test result.

Definition at line 111 of file JTestChi2_t.hh.

111  {
112 
113  using namespace std;
114  using namespace JPP;
115 
116  int nFailures = 0;
117 
118  JTestResult r;
119 
120  if(slice == 'x' || slice == 'X'){
121 
122  int nSlices1 = h1->GetNbinsX();
123  int nSlices2 = h2->GetNbinsX();
124 
125  TH1* h3 = h1->ProjectionX(h1->GetName()==h2->GetName() ?
126  MAKE_CSTRING(to_string(h1->GetName())) :
127  MAKE_CSTRING(to_string(h1->GetName()) + "_VS_" + to_string(h2->GetName())));
128 
129  if(nSlices1 != nSlices2)
130  ERROR("Histograms with different binning. The objects: " << h1->GetName() << " and " << h2->GetName() << " can not be compared." << endl);
131 
132  for (int i=1 ; i<=nSlices1 ; ++i){
133 
134  std::string sliceName = MAKE_STRING(h1->GetName() + to_string("_") + to_string(i));
135 
136  TH1D* s1 = h1->ProjectionY (sliceName.c_str(),i,i);
137  TH1D* s2 = h2->ProjectionY (sliceName.c_str(),i,i);
138 
139  double chi2 = s1 -> Chi2Test (s2 , options.c_str());
140 
141  bool passed;
142 
143  if (options.find("CHI2") != std::string::npos) {
144  (chi2 > threshold ? passed = false : passed = true);
145  }else{
146  (chi2 < threshold ? passed = false : passed = true);
147  }
148 
149  if (!passed) nFailures++;
150 
151  h3->SetBinContent(i,chi2);
152 
153  }
154 
155  bool passed;
156 
157  (nFailures/nSlices1 > failuresThreshold ? passed = false : passed = true);
158 
159  JResultTitle title(testName, parameterName, passed , nFailures);
160 
161  h3->SetTitle(title.getTitle().c_str());
162 
163  r = JTestResult (testName,
164  string (h1->GetDirectory()->GetPath()).append(h1->GetName()),
165  string (h2->GetDirectory()->GetPath()).append(h2->GetName()),
166  h1->GetDirectory()->GetFile()->GetName(),
167  h2->GetDirectory()->GetFile()->GetName(),
168  parameterName, nFailures, failuresThreshold, h3, passed);
169 
170  }else if (slice == 'y' || slice == 'Y'){
171 
172  int nSlices1 = h1->GetNbinsY();
173  int nSlices2 = h2->GetNbinsY();
174 
175  TH1* h3 = h1->ProjectionY(h1->GetName()==h2->GetName() ?
176  MAKE_CSTRING(to_string(h1->GetName())) :
177  MAKE_CSTRING(to_string(h1->GetName()) + "_VS_" + to_string(h2->GetName())));
178 
179  if(nSlices1 != nSlices2)
180  ERROR("Histograms with different binning. The objects: " << h1->GetName() << " can not be compared." << endl);
181 
182  for (int i=1 ; i<=nSlices1 ; ++i){
183 
184  std::string sliceName = MAKE_STRING(h1->GetName() + to_string("_") + to_string(i));
185 
186  TH1D* s1 = h1->ProjectionX (sliceName.c_str(),i,i);
187  TH1D* s2 = h2->ProjectionX (sliceName.c_str(),i,i);
188 
189  double chi2 = s1 -> Chi2Test (s2 , options.c_str());
190 
191  bool passed;
192 
193  if (options.find("CHI2") != std::string::npos) {
194  (chi2 > threshold ? passed = false : passed = true);
195  }else{
196  (chi2 < threshold ? passed = false : passed = true);
197  }
198 
199  if (!passed) nFailures++;
200 
201  h3->SetBinContent(i,chi2);
202  }
203 
204  bool passed;
205 
206  (nFailures/nSlices1 > failuresThreshold ? passed = false : passed = true);
207 
208  JResultTitle title(testName, parameterName, passed , nFailures);
209 
210  h3->SetTitle(title.getTitle().c_str());
211 
212  r = JTestResult (testName,
213  string (h1->GetDirectory()->GetPath()).append(h1->GetName()),
214  string (h2->GetDirectory()->GetPath()).append(h2->GetName()),
215  h1->GetDirectory()->GetFile()->GetName(),
216  h2->GetDirectory()->GetFile()->GetName(),
217  parameterName, nFailures, failuresThreshold, h3, passed);
218 
219  }
220 
221  return r;
222  };
JResultTitle
Class dedicated to standardize the title of the graphical objects produced by the JTest_t() derived c...
Definition: JTest_t.hh:22
MAKE_CSTRING
#define MAKE_CSTRING(A)
Make C-string.
Definition: JPrint.hh:151
h1
then for HISTOGRAM in h0 h1
Definition: JMatrixNZ.sh:71
JTOOLS::r
data_type r[M+1]
Definition: JPolint.hh:742
JTestResult
Structure containing the result of the test.
Definition: JTest_t.hh:164
MAKE_STRING
#define MAKE_STRING(A)
Make string.
Definition: JPrint.hh:142
options
then usage $script[port]< option > nPossible options
Definition: JLigier-local.sh:28
ERROR
#define ERROR(A)
Definition: JMessage.hh:66
JLANG::to_string
std::string to_string(const T &value)
Convert value to string.
Definition: JLangToolkit.hh:207
JTestResult JTestChi2_t::JChi2TestBin_2D ( TH2 *  h1,
TH2 *  h2,
double  outliersThreshold,
double  chi2Threshold,
std::string  testName,
std::string  parameterName 
)
inline

Bin-by-Bin Chi2 comparison of 2D histograms.


The Chi distance between h1 and h2 is calculated for each bin, and compared to the chi2Threshold() parameter.
If the calculated Chi distance is above this threshold, the test is passed for that bin.
If the fraction of failures is above the input parameter outliersThreshold(), the test is failed.

Parameters
h1First object
h2Second object
outliersThresholdfraction of bins allowed to fail the test
chi2Thresholdp-value
parameterNameName of the parameter used to test the histograms
testNameName of the test used to compare the histograms
Returns
Test result.

Definition at line 240 of file JTestChi2_t.hh.

240  {
241 
242  using namespace std;
243  using namespace JPP;
244 
245  int nx1 = h1->GetNbinsX();
246  int nx2 = h2->GetNbinsX();
247  int ny1 = h1->GetNbinsY();
248  int ny2 = h2->GetNbinsY();
249 
250  double M = h1->Integral();
251  double N = h2->Integral();
252 
253  if(nx1 != nx2 || ny1 != ny2 || M == 0 || N == 0)
254  ERROR("Histograms with different binning. The objects: " << h1->GetName() << " can not be compared." << endl);
255 
256  TH2D* h3 = (TH2D*)h1->Clone(h1->GetName()==h2->GetName() ?
257  MAKE_CSTRING(to_string(h1->GetName())) :
258  MAKE_CSTRING(to_string(h1->GetName()) + "_VS_" + to_string(h2->GetName())));
259 
260  h3->Reset();
261 
262  double outliers = 0;
263 
264  for (int i=1 ; i<nx1 ; ++i){
265  for (int j=1 ; j<ny1 ; ++j){
266 
267  double m = h1 -> GetBinContent(i,j);
268  double n = h2 -> GetBinContent(i,j);
269  double chi2 = (n-m*N/M)/sqrt(m*N/M);
270  (fabs(chi2) > chi2Threshold ? outliers+=1./(nx1*ny1) : outliers+=0 );
271  h3->SetBinContent(i,j,chi2);
272  }
273  }
274 
275  bool passed;
276 
277  (outliers > outliersThreshold ? passed = false : passed = true);
278 
279  JResultTitle title(testName, parameterName , passed , 100*outliers);
280 
281  h3->SetTitle(title.getTitle().c_str());
282 
283  JTestResult r (testName,
284  string (h1->GetDirectory()->GetPath()).append(h1->GetName()),
285  string (h2->GetDirectory()->GetPath()).append(h2->GetName()),
286  h1->GetDirectory()->GetFile()->GetName(),
287  h2->GetDirectory()->GetFile()->GetName(),
288  parameterName, 100*outliers, 100*outliersThreshold, h3, passed);
289 
290  return r;
291  };
M
do $JPP JMEstimator M
Definition: JMEstimator.sh:37
JResultTitle
Class dedicated to standardize the title of the graphical objects produced by the JTest_t() derived c...
Definition: JTest_t.hh:22
MAKE_CSTRING
#define MAKE_CSTRING(A)
Make C-string.
Definition: JPrint.hh:151
h1
then for HISTOGRAM in h0 h1
Definition: JMatrixNZ.sh:71
JTOOLS::r
data_type r[M+1]
Definition: JPolint.hh:742
JTestResult
Structure containing the result of the test.
Definition: JTest_t.hh:164
ERROR
#define ERROR(A)
Definition: JMessage.hh:66
n
alias put_queue eval echo n
Definition: qlib.csh:19
JLANG::to_string
std::string to_string(const T &value)
Convert value to string.
Definition: JLangToolkit.hh:207
JTOOLS::j
int j
Definition: JPolint.hh:666
N
then usage $script[input file[working directory[option]]] nWhere option can be N
Definition: JMuonPostfit.sh:36
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