mrcImageVarianceMap

Usage

Usage: mrcImageVarianceMap
Options:
    [-i[nput]            In                  (NULL      )] :Optional  :In: InputList
    [-I[nput]            In2                 (NULL      )In2Var              (NULL      )In2N                (0         )] :Optional  :In: Input
    [-Nor[malizingParameter]NorA                (0.0       )NorB                (1.0       )] :Optional  :In: A + B*x: NormalizingParameter
    [-r[ef]              Ref                 (NULL      )] :Optional  :Ref: InputList
    [-R[ef]              Ref2                (NULL      )Ref2Var             (NULL      )Ref2N               (0         )] :Optional  :Ref: Input
    [-Nor[malizingParameter]RNorARef             (0.0       )NorBRef             (1.0       )] :Optional  :In: A + B*x: NormalizingParameter for Ref
    [-I[and]R            InAndRef2           (NULL      )InAndRef2Var        (NULL      )InAndRef2N          (0         )] :Optional  :In and Ref: Input
    [-o[utput]           Out                 (NULL      )] :Optional  :Output: Variance Probability
    [-v[arianceMap]      OutV                (NULL      )] :Optional  :Output: Variance Map
    [-c[onfig]           configFile          (NULL      )] :Optional  :ConfigurationFile
    [-m[ode]             mode                (0         )] :Optional  :Mode
----- Additional Usage -----
---- Variance Map -----
-- Algorithm
   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)