How to extract the all combinations of array (permutations combinations)

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Kanakaiah Jakkula 2015-8-13

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编辑： the cyclist 2015-8-21

采纳的回答： the cyclist

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Hi,

I have a matrix as below:

A  Success
B  Failure
C  Success
A  Success
B  Success
C  Success

I want to count how many time B appeared after A or A appeared after A or C appeared after B (for example: i-1 should be A, and i should B: so it counted as AB). The resultant combinations are as shown below: So, again I want to count how many time A appeared after A, B appeared after A, B appeared after B, C appeared after B (or C,or A,or D)etc.

AA  AB  AC
BA  BB  BC
CA  CB  CC

My out put should be: Out_sucess (only succeefull combinations):

1  0
0  2
0  0

Out_Fail(Failed combinations):

1   0
0   0
0   0

Kindly help how do I get these out puts

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the cyclist 2015-8-14

编辑：the cyclist 2015-8-14

@dpb, I think he/she is only looking at "nearest neighbor" pairs, and basing the classification on the success/failure of the 2nd member of the pair. (At least, this gives the quoted result.)

Kanakaiah Jakkula 2015-8-15

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Sir,

The meaning of resultant matrix I shown above is AA means A appeared after A. AB means B appeared after A like in row2. BA means A appeared after B. BC means C appeared after B as in row3 etc. I don't mind B appeared after A or after B itself). I just want to count how it appeared (that is after A or after B, or C) but how many time B appeared after A, and B appeared after B it self. Same as for A &C. That's why I want to count as below matrix:

Count_Matrix:

2  0
0  2
0  0

For instance, in the Count_Matrix(1,2) the count is 2, because B appeared after A twice at row2 &row5. Count_Matrix(3,1) the count is 1, because A appeared after C once at row4 etc.

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Answer 1

the cyclist 2015-8-14

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https://ww2.mathworks.cn/matlabcentral/answers/233703-how-to-extract-the-all-combinations-of-array-permutations-combinations#answer_189343

编辑：the cyclist 2015-8-14

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Perhaps not the most efficient way, but here is a very pedantic way:

M = {
'A'  'Success'
'B'  'Failure'
'C'  'Success'
'A'  'Success'
'B'  'Success'
'C'  'Success'};
[~,loc] = ismember([M(1:end-1,1) M(2:end,1)],{'A','B','C'});
[successCount,failureCount] = deal(zeros(3));
for ni = 1:size(loc,1);
    switch M{ni+1,2}
        case 'Success'
            successCount(loc(ni,1),loc(ni,2)) = successCount(loc(ni,1),loc(ni,2)) + 1;
        case 'Failure'
            failureCount(loc(ni,1),loc(ni,2)) = failureCount(loc(ni,1),loc(ni,2)) + 1;
    end
end
successCount
failureCount

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Kanakaiah Jakkula 2015-8-16

编辑：the cyclist 2015-8-16

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Sir,

I can store in array form (i.e, Names_array), it is cell array. After that I called here:

[~,loc] = ismember([M(1:end-1,1) M(2:end,1)],{Names_array}');

But it giving me the error as below:

Error in ==> Matrix_successFailCount at 13
[~,loc] = ismember([M(1:end-1,1) M(2:end,1)],{Names_array}');.

Please help I can I call from Names_array in place of {'A','B','C','D'}. Many thanks,

[~,Names_array]=xlsread('HTDNames.csv');
 My code is as below:
M = {
'A'  'Success'
'B'  'Failure'
'B'  'Success'
'C'  'Success'
'A'  'Success'
'B'  'Success'
'C'  'Success'};
% ABC_matrix={'A''B''C'};
[~,Names_array]=xlsread('HTDNames.csv');
[~,loc] = ismember([M(1:end-1,1) M(2:end,1)],{Names_array}');
% [~,loc] = ismember([M(1:end-1,1) M(2:end,1)],{'A','B','C','D'});
[successCount,failureCount] = deal(zeros(3));
for ni = 1:size(loc,1);
    linearIndex = sub2ind([3,3],loc(ni,1),loc(ni,2));
    switch M{ni+1,2}
        case 'Success'
            successCount(linearIndex) = successCount(linearIndex) + 1;
        case 'Failure'
            failureCount(linearIndex) = failureCount(linearIndex) + 1;
    end
end
successCount;
failureCount;

Kanakaiah Jakkula 2015-8-16

编辑：Kanakaiah Jakkula 2015-8-16

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Sir,

It works. Many many thanks sir.

Finally, for the same code, I have the below matrix:I added third column here, which are actually the scores.

A  Success  20
B  Failure  20
B  Success  23
C  Success  21
A  Success  31
B  Success  20
C  Success  4
A  Success  6

As I noted the Success counts and failure counts, Now I want to take the average of the scores for the counts (average of total counts for each combination). Success_count:

1  0
1  2
0  0

Failure_count

1  0
0  0
0  0

For instance, In Success_count row2, column3 the count is 2, because C appears after B at row4&row7, and the corresponding scores are 21&4. So, the average of 21+4=12.5(and this is the average of scores of the success counts). Please help me sir, I tried but I did not get. I used below code:

clc;
clear all;
close all;
M = {
'A'  'Success'
'B'  'Failure'
'B'  'Success'
'C'  'Success'
'A'  'Success'
'B'  'Success'
'C'  'Success'
'A' 'Failure'};
Scores=[20;20; 23;21;31;20;4;6];
% ABC_matrix={'A''B''C'};
% [~,Names_array]=xlsread('HTDNames.csv');
% [Scores,M]=xlsread('All_Data_ABCDEF.csv');
% [~,loc] = ismember([M(1:end-1,1) M(2:end,1)],Names_array');
[~,loc] = ismember([M(1:end-1,1) M(2:end,1)],{'A','B','C'});
[successCount,failureCount] = deal(zeros(3));
for ni = 1:size(loc,1);
    linearIndex = sub2ind([3,3],loc(ni,1),loc(ni,2));
    switch M{ni+1,2}
        case 'Success'
            successCount(linearIndex) = successCount(linearIndex) + 1;
          case 'Failure'
              failureCount(linearIndex) = failureCount(linearIndex) + 1;
      end
        end
successCount;
failureCount;

AvegScores_success: Should be,

20  0
23  12.5
5  0  0

and

AvegScores_failure: Should be,

20  0
0  0
0  0

I am very thank full you,

the cyclist 2015-8-16

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clc;
clear all;
close all;
M = {
'A'  'Success'
'B'  'Failure'
'B'  'Success'
'C'  'Success'
'A'  'Success'
'B'  'Success'
'C'  'Success'
'A' 'Failure'};
Scores=[20;20; 23;21;31;20;4;6];
% ABC_matrix={'A''B''C'};
% [~,Names_array]=xlsread('HTDNames.csv');
% [Scores,M]=xlsread('All_Data_ABCDEF.csv');
% [~,loc] = ismember([M(1:end-1,1) M(2:end,1)],Names_array');
[~,loc] = ismember([M(1:end-1,1) M(2:end,1)],{'A','B','C'});
[successCount,failureCount,successSum,failureSum] = deal(zeros(3));
for ni = 1:size(loc,1);
    linearIndex = sub2ind([3,3],loc(ni,1),loc(ni,2));
    switch M{ni+1,2}
        case 'Success'
            successCount(linearIndex) = successCount(linearIndex) + 1;
            successSum(linearIndex) = successSum(linearIndex) + Scores(ni+1)
        case 'Failure'
            failureCount(linearIndex) = failureCount(linearIndex) + 1;
            failureSum(linearIndex) = failureSum(linearIndex) + Scores(ni+1)
    end
end
successCount
failureCount
successMean = successSum./successCount
failureMean = failureSum./failureCount

Where there are no counts, this gives the mean as "Nan" (because 0/0 is undefined). If you don't like that, then you can do

successMean(isnan(successMean)) = 0;
failureMean(isnan(failureMean)) = 0;

Kanakaiah Jakkula 2015-8-21

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Sir,

Thank you very much. It works, I encountered one problem. Here, the failure cases are separated into three categories like: 'Failure', 'Abort', 'Manual' all these belongs to failure only, but different naming. I modified the code using OR symbol (), but it gives the following error: ??? Operands to the and && operators must be convertible to logical scalar values.

Error in ==> Matrix_successFailCount_Mod at 36 case 'Failure'||'Abort'||'Manual'

My code is below: And May I seek your kind help sir, Many thanks in advance.

clc;
clear all;
close all;
M = {
'A'  'Success'
'B'  'Failure'
'B'  'Success'
'C'  'Success'
'A'  'Success'
'B'  'Success'
'C'  'Success'
'A'     'Abort'
'A'     'Manual'};
Scores=[20;20; 23;21;31;20;4;6;24];
ABC_matrix={'A''B''C'};
% [~,Names_array]=xlsread('HTDNames2.csv');
% [Scores,M]=xlsread('All_Data_ABCDEF3.csv');
% [~,loc] = ismember([M(1:end-1,1) M(2:end,1)],Names_array');
[~,loc] = ismember([M(1:end-1,1) M(2:end,1)],{'A','B','C'});
[successCount,failureCount] = deal(zeros(3));
for ni = 1:size(loc,1);
    linearIndex = sub2ind([3,3],loc(ni,1),loc(ni,2));
    switch M{ni+1,2}
        case 'Success'
            successCount(linearIndex) = successCount(linearIndex) + 1;
          case 'Failure'||'Abort'||'Manual'
              failureCount(linearIndex) = failureCount(linearIndex) + 1;
      end
      AvgScores_S=mean(successCount);
      AvgScores_F=mean(failureCount);
  end
successCount;
failureCount;

the cyclist 2015-8-21

编辑：the cyclist 2015-8-21

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The documentation for switch is pretty clear on how to handle this:

case {'Failure','Abort','Manual'}

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How to extract the all combinations of array (permutations combinations)

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