mrcImageVarianceAnalysis

mrcImageVarianceAnalysis is Eos's Command that performs Variance Analysis.

List of option

Main option

Option	Essential/Optional	Description	Default
-i	Optional	Input: ASCII(File List)	NULL
-r	Optional	Ref: InputList	NULL
-o	Optional	Output: Variance Probability	NULL
-v	Optional	Output: Variance Analysis	NULL
-c	Optional	ConfigurationFile	NULL
-m	Optional	Mode	0
-h	Optional	Help

-m details

Value	Description
0

-i format

Input1
Input2
Input3
   .
   .
   .

Iuput1, 2, ... format

mrcFile1		A	B
mrcFile2		A	B
	. 		.	.
	.		.	.

A + B*density

Algorithm of Variance Analysis

   VarianceRatio := VarinceBetweenClasses/(SumOfVarianceWithinEachClass)
                  VarinceBetweenClasses: variance between classes
                  VarinceWithClasses:    variance within each class 

General Information

   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/data/Input1.txt
/Eos/data/Input2.txt
/Eos/data/Input3.txt

Input1's data

/Eos/img/1VOM-40.mrc 0 1
/Eos/img/1VOM-45.mrc 1 1

1VOM-40.mrc's image

Min Max Mean SD SE

0 (0, 0, 0) 3077.54 (41, 49, 0) 126.786 387.323 4.84154

1VOM-45.mrc's image

Min Max Mean SD SE

0 (0, 0, 0) 3099.59 (17, 62, 0) 123.791 381.654 4.77068

Input2's data

/Eos/img/1VOM-50.mrc 0 1
/Eos/img/1VOM-55.mrc 0 1

1VOM-50.mrc's image

Min Max Mean SD SE

0 (0, 0, 0) 3095.88 (33, 57, 0) 143.393 399.986 4.99982

1VOM-55.mrc's image

Min Max Mean SD SE

0 (0, 0, 0) 3044.97 (51, 58, 0) 148.952 413.856 5.1732

Input3's data

/Eos/img/1VOM-60.mrc 0 1
/Eos/img/1VOM-65.mrc 0 1

1VOM-60.mrc's image

Min Max Mean SD SE

0 (0, 0, 0) 3026.91 (50, 47, 0) 129.875 386.428 4.83035

1VOM-65.mrc's image

Min Max Mean SD SE

0 (0, 0, 0) 3308.47 (26, 42, 0) 105.169 351.901 4.39877

Example of Input file only

-o 's image

Min Max Mean SD SE

50.0673 (30, 27, 0) 100 (14, 67, 0) 887.0022 7.68589 0.0960736

-v 's image

Min Max Mean SD SE

0.00134705 (30, 27, 0) 165008 (14, 67, 0) 44.5458 2086.16 26.077

By mrcImageMakeDump

0 0 3 
1 0 3 
2 0 3 
3 0 3 
4 0 3 

...

28 27 1.06282 
29 27 1.17063 
30 27 0.00134705 
31 27 0.0869645 
32 27 0.158319 

...

12 67 4.90624 
13 67 4.19018 
14 67 165008 
15 67 3.26777 
16 67 2.0586 

...

75 79 3 
76 79 3 
77 79 3 
78 79 3 
79 79 3