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2 <HEAD>
3 <TITLE>mrcImageVarianceMap</TITLE>
4 </HEAD>
5 <BODY>
6 <H1>mrcImageVarianceMap</H1>
7 <H2>Usage</H2>
8 <PRE>
9 Usage: mrcImageVarianceMap
10 Options:
11     [-i[nput]            In                  (NULL      ).as(inFileList          ) ] :Optional  :In: InputList
12     [-I[nput]            In2                 (NULL      ).as(inFile              ) 
13                          In2Var              (NULL      ).as(inFile              ) 
14                          In2N                (0         ).as(Integer             ) ] :Optional  :In: Input
15     [-Nor[malizingParameter]NorA                (0.0       ).as(Real                ) 
16                          NorB                (1.0       ).as(Real                ) ] :Optional  :In: A + B*x: NormalizingParameter
17     [-r[ef]              Ref                 (NULL      ).as(inFileList          ) ] :Optional  :Ref: InputList
18     [-R[ef]              Ref2                (NULL      ).as(inFile              ) 
19                          Ref2Var             (NULL      ).as(inFile              ) 
20                          Ref2N               (0         ).as(Integer             ) ] :Optional  :Ref: Input
21     [-Nor[malizingParameter]RNorARef             (0.0       ).as(Real                ) 
22                          NorBRef             (1.0       ).as(Real                ) ] :Optional  :In: A + B*x: NormalizingParameter for Ref
23     [-I[and]R            InAndRef2           (NULL      ).as(inFile              ) 
24                          InAndRef2Var        (NULL      ).as(inFile              ) 
25                          InAndRef2N          (0         ).as(Integer             ) ] :Optional  :In and Ref: Input
26     [-o[utput]           Out                 (NULL      ).as(outFile             ) ] :Optional  :Output: Variance Probability
27     [-v[arianceMap]      OutV                (NULL      ).as(outFile             ) ] :Optional  :Output: Variance Map
28     [-c[onfig]           configFile          (NULL      ).as(inFile              ) ] :Optional  :ConfigurationFile
29     [-m[ode]             mode                (0         ).as(Integer             ) ] :Optional  :Mode
30 ----- Additional Usage -----
31 ---- Variance Map -----
32 -- Algorithm
33    VarianceMap := VarinceOfAll/((VarianceOfDataSet1*n1+VarianceOfDataSet2*n2)/n1+n2)
34                   VarinceOfAll:      variance of all data from Set1 and Set2
35                   VarinceOfDataSet1: variance of all data from Set1 
36                   VarinceOfDataSet2: variance of all data from Set2 
37                   
38    
39    Kai-distribution: Kai^2 = SumOf (Xi - AvgOfXi)^2/sigma^2  
40                            = s^2*(n-1)/sigma^2  : degree of freedom n-1 
41                              when variables Xi are due to N(u, sigma^2)
42    Kai-distribution: Kai^2 = Kai1^2 + Kai2^2 : degree of freedom m1 + m2
43    F-distribution: F = (Kai1^2/k1)/(Kai2^2/k2)           : degree of freedom : (k1, k2)
44                        (s1^2/sigma1^2)/(s2^2/sigma2^2)   : degree of freedom : (k1-1, k2-1)
45    If sigma1 == sigma2, then                    
46                        s1^2/s2^2  (Variance Ratio)       : degree of freedom : (k1-1, k2-1)
47 </PRE>
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