mrcImageVarianceMap

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mrcImageVarianceMap is Eos's Command that creates Variance Map from multiple mrcImages(2D).


List of option

Main option

Option Essential/Optional Description Default
-i Optional Input: ASCII (File List) NULL
-I Optional Input: (In2 In2Var In2N)) NULL NULL 0
-Nor Optional Input: A + B*x: NormalizingParameter (NorA NorB) 0.0 1.0
-r Optional Reference: ASCII (File List) NULL
-R Optional Reference: (Ref2 Ref2Var Ref2N ) NULL NULL 0
-NorR Optional Input: A + B*x: NormalizingParameter for Ref (RNorARef RNorBRef) 0.0 1.0
-IR Optional Input and Reference: (InAndRef2 InAndRef2Var InAndRef2N) NULL NULL 0
-o Optional Output: Variance Probability NULL
-v Optional Output: Variance Map NULL
-c Optional ConfigurationFile NULL
-m Optional Mode 0
-h Optional Help  

-m details

Value Description
0


-i, -r format

mrcFile1
mrcFile2
.
.


Variance Map

   VarianceMap := VarinceOfAll/((VarianceOfDataSet1*n1+VarianceOfDataSet2*n2)/n1+n2)
                  VarinceOfAll:      variance of all data from Set1 and Set2
                  VarinceOfDataSet1: variance of all data from Set1 
                  VarinceOfDataSet2: variance of all data from Set2 
                  
   
   Kai-distribution: Kai^2 = SumOf (Xi - AvgOfXi)^2/sigma^2  
                           = s^2*(n-1)/sigma^2  : degree of freedom n-1 
                             when variables Xi are due to N(u, sigma^2)
   Kai-distribution: Kai^2 = Kai1^2 + Kai2^2 : degree of freedom m1 + m2
   F-distribution: F = (Kai1^2/k1)/(Kai2^2/k2)           : degree of freedom : (k1, k2)
                       (s1^2/sigma1^2)/(s2^2/sigma2^2)   : degree of freedom : (k1-1, k2-1)
   If sigma1 == sigma2, then                    
                       s1^2/s2^2  (Variance Ratio)       : degree of freedom : (k1-1, k2-1)


Execution example

Input file's data

/Eos/img/Input-ThickFilaments0-N-30.mrc
/Eos/img/Input-ThickFilaments0-N-40.mrc
/Eos/img/Input-ThickFilaments0-N-50.mrc

Input-ThickFilaments0-N-30.mrc's image
Input-ThickFilaments0-N-30.png

Min

Max
Mean
SD

SE

-0.242386 (63, 38, 0)

1.18538 (46, 26, 0)
0.00402522
0.0987806

0.0014316

Input-ThickFilaments0-N-40.mrc's image
Input-ThickFilaments0-N-40.png

Min

Max
Mean
SD

SE

-0.284772 (20, 5, 0)

1.39313 (24, 45, 0)
0.00654313
0.117719

0.00170608

Input-ThickFilaments0-N-50.mrc's image
Input-ThickFilaments0-N-50.png

Min

Max
Mean
SD

SE

-0.244921 (31, 53, 0)

1.10864 (41, 21, 0)
0.00225865
0.096511

0.00139871


Reference file data

/Eos/img/Input-ThickFilaments0-30.mrc
/Eos/img/Input-ThickFilaments0-40.mrc
/Eos/img/Input-ThickFilaments0-50.mrc

Input-ThickFilaments0-30.mrc's image
Input-ThickFilaments0-30.png

Min

Max
Mean
SD

SE

0 (0, 0, 0)

1.04379 (42, 46, 0)
0.00425073
0.0654553

0.000948628

Input-ThickFilaments0-40.mrc's image
Input-ThickFilaments0-40.png

Min

Max
Mean
SD

SE

0 (0, 0, 0)

1.34347 (44, 23, 0)
0.00812336
0.0935823

0.00135626

Input-ThickFilaments0-50.mrc's image
Input-ThickFilaments0-50.png

Min

Max
Mean
SD

SE

0 (0, 0, 0)

1 (32, 19, 0)
0.0042008
0.0646773

0.000937352


Example of options only essential

Outdata-mrcImageVarianceMap.png

Min

Max
Mean
SD

SE

-68.5414 (35, 18, 0)

99.9999 (8, 46, 0)
-26.8277
60.764

0.880638


Option -Nor

Case: Nor=(1, 3)

Outdata-Nor-mrcImageVarianceMap.png

Min

Max
Mean
SD

SE

-57.2844 (21, 42, 0)

100 (67, 30, 0)
96.1833
11.7327

0.170039


Option -NorR

Case: NorR=(1, 1)

Outdata-NorR-mrcImageVarianceMap.png

Min

Max
Mean
SD

SE

50.3586 (23, 24, 0)

100 (1, 0, 0)
99.3951
4.68716

0.0679299