Ive been thinking about what is the best way to solve this, any advise?
The table/matrix X is:
X <- read.table(text = " a b c d e
0 27 0 28 8
1 14 24 32 33
0 4 22 25 27
0 3 7 26 34
0 28 33 31 21
0 16 17 24 18
1 3 19 0 12
0 2 23 5 24
2 17 22 22 10
0 35 15 17 2",
header = TRUE, stringsAsFactors = FALSE)
or using matlab:
X =[
0 27 0 28 8
1 14 24 32 33
0 4 22 25 27
0 3 7 26 34
0 28 33 31 21
0 16 17 24 18
1 3 19 0 12
0 2 23 5 24
2 17 22 22 10
0 35 15 17 2];
How could I obtain a table/matrix A and B which contains:
rows and columns accumulated each 5 values until the maximum value of table X -> in this case: 0-5;0-10;0-15;0-20.. 0-35 (for both rows and columns).
Table A:
The first thing is to select only the positive values of a, and then count the number of times these conditions occur:
The entry (1,1) of the table/matrix A would be the number of times the b values are among 0-5 and d values are among 0-5. The entry (2,1) would be the number of times the b values are among 0-5 and d values are among 0-10. The entry (3,1) would be the number of times the b values are among 0-5 and d values are among 0-15... this until the row is 0-35.
The entry (1,2) of the table/matrix A would be the number of times the b values are among 0-10 and d values are among 0-5. The entry (2,2) would be the number of times the b values are among 0-10 and d values are among 0-10. The entry (3,2) would be the number of times the b values are among 0-10 and d values are among 0-15... this until the row is 0-35.
We form a 7x7 table/matrix, the results show this:
A:
0-5 0-10 0-15 0-20 0-25 0-30 0-35
0-5 1 1 1 1 1 1 1
0-10 1 1 1 1 1 1 1
0-15 1 1 1 1 1 1 1
0-20 1 1 1 1 1 1 1
0-25 1 1 1 2 2 2 2
0-30 1 1 1 2 2 2 2
0-35 1 1 2 3 3 3 3
Where the columns are the intervals of b values and the rows the intervals for d values
The meaning of the table/matrix A is the number of times the a values are higher than 0 and match different combinations intervals (each 5 values) among column b and d. For example, for the entry (1,1) of result table A is 1 because in the row 7 of table X, there is only 1 number which a>0, b=3 (among 0-5) and d=0 (among 0-5). Other example is the entry (7,4), which is 3 since there three times: a>0, b is among 0-20 and d is among 0-35
The table/matrix B, would be the same table A but comparing columns c and e. B is:
B:
0-5 0-10 0-15 0-20 0-25 0-30 0-35
0-5 1 1 1 1 1 1 1
0-10 2 2 2 2 2 2 2
0-15 2 2 2 2 2 2 2
0-20 2 2 2 2 2 2 3
0-25 2 2 2 4 4 4 5
0-30 4 4 4 6 6 7 8
0-35 4 4 5 7 7 9 10
Here is the solution I propose you under Matlab (it only takes care of creating the first table, but for the second one the code is basically the same):
% Define the sample data...
X = [
0 27 0 28 8
1 14 24 32 33
0 4 22 25 27
0 3 7 26 34
0 28 33 31 21
0 16 17 24 18
1 3 19 0 12
0 2 23 5 24
2 17 22 22 10
0 35 15 17 2
];
% Find the upper bound (as a multiple of 5) and build the ranges...
X_max = max(max(X(:,2:end)));
X_upper = round(X_max / 5) * 5;
% Create the required ranges and their respective string representation...
R = 5:5:X_upper;
R_len = numel(R);
R_str = sprintfc('0-%d',R);
% Filter the table rows keeping only those with A > 0...
X = X(X(:,1) > 0,2:end);
% Apply the criterions to B and D (first and third rows)...
b = arrayfun(@(x) sum(X(:,1) > 0 & X(:,1) <= x),R).';
d = arrayfun(@(x) sum(X(:,3) > 0 & X(:,3) <= x),R);
% Cross the results of both computations into a single matrix...
A = num2cell(repmat(b,1,R_len) + repmat(d,R_len,1));
A = [[{''}; R_str.'] [R_str; A]];
The comments in the code should make everything pretty self-explanatory, but if you have any doubts feel free to ask for more details. For what concerns the type of the final result A, I opted for a matrix of cells, because table rows and columns are subject to strict naming conventions, but it's very easy to switch from this output to a table-based one... for example:
% Cross the results of both computations into a single table...
A = array2table(repmat(b,1,R_len) + repmat(d,R_len,1),'RowNames',R_str,'VariableNames',R_str);
EDIT
This code properly handles data as per OP requirements:
% Find the upper bound (as a multiple of 5) and build the ranges...
X_max = max(max(X(:,2:end)));
X_upper = round(X_max / 5) * 5;
% Create the required ranges and their respective string representation...
R = 5:5:X_upper;
R_len = numel(R);
R_str = sprintfc('R_0_%d',R);
% Adjust the range for exclusive limits and project it...
R(end) = R(end) + 1;
R_rep = [repelem(R,1,7).' repmat(R,1,7).'];
% Apply the criterions to B and D (first and third rows)...
X_a = X(X(:,1) > 0,2:end);
fun_A = arrayfun(@(b,d) sum(X_a(:,1) >= 0 & X_a(:,1) < b & X_a(:,3) >= 0 & X_a(:,3) < d),R_rep(:,1),R_rep(:,2));
A = array2table(reshape(fun_A,R_len,R_len),'RowNames',R_str,'VariableNames',R_str);
% Apply the criterions to C and E (second and fourth rows)...
X_na = X(X(:,1) >= 0,2:end);
fun_B = arrayfun(@(c,e) sum(X_na(:,2) >= 0 & X_na(:,2) < c & X_na(:,4) >= 0 & X_na(:,4) < e),R_rep(:,1),R_rep(:,2));
B = array2table(reshape(fun_B,R_len,R_len),'RowNames',R_str,'VariableNames',R_str);
I wrote this code and it worked, but I would like to improve it in order to solve it in a more efficient way, and avoid it to be too tedious.
library(magrittr)
library(dplyr)
B1 = A %>%
summarise( i0_5 = sum( (a > 0) & (b>= 0 & b< 5) & (d >=0 & d< 5) ),
i0_10 = sum( (a > 0) & (b>= 0 & b< 5) & (d >=0 & d< 10) ),
i0_15 = sum( (a > 0) & (b>= 0 & b< 5) & (d >=0 & d< 15) ),
i0_20 = sum( (a > 0) & (b>= 0 & b< 5) & (d >=0 & d< 20) ),
i0_25 = sum( (a > 0) & (b>= 0 & b< 5) & (d >=0 & d< 25) ),
i0_30 = sum( (a > 0) & (b>= 0 & b< 5) & (d >=0 & d< 30) ),
i0_35 = sum( (a > 0) & (b>= 0 & b< 5) & (d >=0 & d<= 35) ) )
B1=as.data.frame(t(B1))
B2 = A %>%
summarise( i0_5 = sum( (a > 0) & (b>= 0 & b< 10) & (d >=0 & d< 5) ),
i0_10 = sum( (a > 0) & (b>= 0 & b< 10) & (d >=0 & d< 10) ),
i0_15 = sum( (a > 0) & (b>= 0 & b< 10) & (d >=0 & d< 15) ),
i0_20 = sum( (a > 0) & (b>= 0 & b< 10) & (d >=0 & d< 20) ),
i0_25 = sum( (a > 0) & (b>= 0 & b< 10) & (d >=0 & d< 25) ),
i0_30 = sum( (a > 0) & (b>= 0 & b< 10) & (d >=0 & d< 30) ),
i0_35 = sum( (a > 0) & (b>= 0 & b< 10) & (d >=0 & d<= 35) ) )
B2=as.data.frame(t(B2))
B3 = A %>%
summarise( i0_5 = sum( (a > 0) & (b>= 0 & b< 15) & (d >=0 & d< 5) ),
i0_10 = sum( (a > 0) & (b>= 0 & b< 15) & (d >=0 & d< 10) ),
i0_15 = sum( (a > 0) & (b>= 0 & b< 15) & (d >=0 & d< 15) ),
i0_20 = sum( (a > 0) & (b>= 0 & b< 15) & (d >=0 & d< 20) ),
i0_25 = sum( (a > 0) & (b>= 0 & b< 15) & (d >=0 & d< 25) ),
i0_30 = sum( (a > 0) & (b>= 0 & b< 15) & (d >=0 & d< 30) ),
i0_35 = sum( (a > 0) & (b>= 0 & b< 15) & (d >=0 & d<= 35) ) )
B3=as.data.frame(t(B3))
B4 = A %>%
summarise( i0_5 = sum( (a > 0) & (b>= 0 & b< 20) & (d >=0 & d< 5) ),
i0_10 = sum( (a > 0) & (b>= 0 & b< 20) & (d >=0 & d< 10) ),
i0_15 = sum( (a > 0) & (b>= 0 & b< 20) & (d >=0 & d< 15) ),
i0_20 = sum( (a > 0) & (b>= 0 & b< 20) & (d >=0 & d< 20) ),
i0_25 = sum( (a > 0) & (b>= 0 & b< 20) & (d >=0 & d< 25) ),
i0_30 = sum( (a > 0) & (b>= 0 & b< 20) & (d >=0 & d< 30) ),
i0_35 = sum( (a > 0) & (b>= 0 & b< 20) & (d >=0 & d<= 35) ) )
B4=as.data.frame(t(B4))
B5 = A %>%
summarise( i0_5 = sum( (a > 0) & (b>= 0 & b< 25) & (d >=0 & d< 5) ),
i0_10 = sum( (a > 0) & (b>= 0 & b< 25) & (d >=0 & d< 10) ),
i0_15 = sum( (a > 0) & (b>= 0 & b< 25) & (d >=0 & d< 15) ),
i0_20 = sum( (a > 0) & (b>= 0 & b< 25) & (d >=0 & d< 20) ),
i0_25 = sum( (a > 0) & (b>= 0 & b< 25) & (d >=0 & d< 25) ),
i0_30 = sum( (a > 0) & (b>= 0 & b< 25) & (d >=0 & d< 30) ),
i0_35 = sum( (a > 0) & (b>= 0 & b< 25) & (d >=0 & d<= 35) ) )
B5=as.data.frame(t(B5))
B6 = A %>%
summarise( i0_5 = sum( (a > 0) & (b>= 0 & b< 30) & (d >=0 & d< 5) ),
i0_10 = sum( (a > 0) & (b>= 0 & b< 30) & (d >=0 & d< 10) ),
i0_15 = sum( (a > 0) & (b>= 0 & b< 30) & (d >=0 & d< 15) ),
i0_20 = sum( (a > 0) & (b>= 0 & b< 30) & (d >=0 & d< 20) ),
i0_25 = sum( (a > 0) & (b>= 0 & b< 30) & (d >=0 & d< 25) ),
i0_30 = sum( (a > 0) & (b>= 0 & b< 30) & (d >=0 & d< 30) ),
i0_35 = sum( (a > 0) & (b>= 0 & b< 30) & (d >=0 & d<= 35) ) )
B6=as.data.frame(t(B6))
B7 = A %>%
summarise( i0_5 = sum( (a > 0) & (b>= 0 & b< 35) & (d >=0 & d< 5) ),
i0_10 = sum( (a > 0) & (b>= 0 & b< 35) & (d >=0 & d< 10) ),
i0_15 = sum( (a > 0) & (b>= 0 & b<= 35) & (d >=0 & d< 15) ),
i0_20 = sum( (a > 0) & (b>= 0 & b<= 35) & (d >=0 & d< 20) ),
i0_25 = sum( (a > 0) & (b>= 0 & b<= 35) & (d >=0 & d< 25) ),
i0_30 = sum( (a > 0) & (b>= 0 & b<= 35) & (d >=0 & d< 30) ),
i0_35 = sum( (a > 0) & (b>= 0 & b<= 35) & (d >=0 & d<= 35) ) )
B7=as.data.frame(t(B7))
Em=cbind(B1,B2,B3,B4,B5,B6,B7)
colnames(Em) =c('0-5','0-10','0-15','0-20','0-25','0-30','0-35')
For the second table:
B1 = A %>%
summarise( i0_5 = sum( (a >= 0) & (b>= 0 & b< 5) & (d >=0 & d< 5) ),
i0_10 = sum( (a >= 0) & (b>= 0 & b< 5) & (d >=0 & d< 10) ),
i0_15 = sum( (a >= 0) & (b>= 0 & b< 5) & (d >=0 & d< 15) ),
i0_20 = sum( (a >= 0) & (b>= 0 & b< 5) & (d >=0 & d< 20) ),
i0_25 = sum( (a >= 0) & (b>= 0 & b< 5) & (d >=0 & d< 25) ),
i0_30 = sum( (a >= 0) & (b>= 0 & b< 5) & (d >=0 & d< 30) ),
i0_35 = sum( (a >= 0) & (b>= 0 & b< 5) & (d >=0 & d<= 35) ) )
B1=as.data.frame(t(B1))
B2 = A %>%
summarise( i0_5 = sum( (a >= 0) & (b>= 0 & b< 10) & (d >=0 & d< 5) ),
i0_10 = sum( (a >= 0) & (b>= 0 & b< 10) & (d >=0 & d< 10) ),
i0_15 = sum( (a >= 0) & (b>= 0 & b< 10) & (d >=0 & d< 15) ),
i0_20 = sum( (a >= 0) & (b>= 0 & b< 10) & (d >=0 & d< 20) ),
i0_25 = sum( (a >= 0) & (b>= 0 & b< 10) & (d >=0 & d< 25) ),
i0_30 = sum( (a >= 0) & (b>= 0 & b< 10) & (d >=0 & d< 30) ),
i0_35 = sum( (a >= 0) & (b>= 0 & b< 10) & (d >=0 & d<= 35) ) )
B2=as.data.frame(t(B2))
B3 = A %>%
summarise( i0_5 = sum( (a >= 0) & (b>= 0 & b< 15) & (d >=0 & d< 5) ),
i0_10 = sum( (a >= 0) & (b>= 0 & b< 15) & (d >=0 & d< 10) ),
i0_15 = sum( (a >= 0) & (b>= 0 & b< 15) & (d >=0 & d< 15) ),
i0_20 = sum( (a >= 0) & (b>= 0 & b< 15) & (d >=0 & d< 20) ),
i0_25 = sum( (a >= 0) & (b>= 0 & b< 15) & (d >=0 & d< 25) ),
i0_30 = sum( (a >= 0) & (b>= 0 & b< 15) & (d >=0 & d< 30) ),
i0_35 = sum( (a >= 0) & (b>= 0 & b< 15) & (d >=0 & d<= 35) ) )
B3=as.data.frame(t(B3))
B4 = A %>%
summarise( i0_5 = sum( (a >= 0) & (b>= 0 & b< 20) & (d >=0 & d< 5) ),
i0_10 = sum( (a >= 0) & (b>= 0 & b< 20) & (d >=0 & d< 10) ),
i0_15 = sum( (a >= 0) & (b>= 0 & b< 20) & (d >=0 & d< 15) ),
i0_20 = sum( (a >= 0) & (b>= 0 & b< 20) & (d >=0 & d< 20) ),
i0_25 = sum( (a >= 0) & (b>= 0 & b< 20) & (d >=0 & d< 25) ),
i0_30 = sum( (a >= 0) & (b>= 0 & b< 20) & (d >=0 & d< 30) ),
i0_35 = sum( (a >= 0) & (b>= 0 & b< 20) & (d >=0 & d<= 35) ) )
B4=as.data.frame(t(B4))
B5 = A %>%
summarise( i0_5 = sum( (a >= 0) & (b>= 0 & b< 25) & (d >=0 & d< 5) ),
i0_10 = sum( (a >= 0) & (b>= 0 & b< 25) & (d >=0 & d< 10) ),
i0_15 = sum( (a >= 0) & (b>= 0 & b< 25) & (d >=0 & d< 15) ),
i0_20 = sum( (a >= 0) & (b>= 0 & b< 25) & (d >=0 & d< 20) ),
i0_25 = sum( (a >= 0) & (b>= 0 & b< 25) & (d >=0 & d< 25) ),
i0_30 = sum( (a >= 0) & (b>= 0 & b< 25) & (d >=0 & d< 30) ),
i0_35 = sum( (a >= 0) & (b>= 0 & b< 25) & (d >=0 & d<= 35) ) )
B5=as.data.frame(t(B5))
B6 = A %>%
summarise( i0_5 = sum( (a >= 0) & (b>= 0 & b< 30) & (d >=0 & d< 5) ),
i0_10 = sum( (a >= 0) & (b>= 0 & b< 30) & (d >=0 & d< 10) ),
i0_15 = sum( (a >= 0) & (b>= 0 & b< 30) & (d >=0 & d< 15) ),
i0_20 = sum( (a >= 0) & (b>= 0 & b< 30) & (d >=0 & d< 20) ),
i0_25 = sum( (a >= 0) & (b>= 0 & b< 30) & (d >=0 & d< 25) ),
i0_30 = sum( (a >= 0) & (b>= 0 & b< 30) & (d >=0 & d< 30) ),
i0_35 = sum( (a >= 0) & (b>= 0 & b< 30) & (d >=0 & d<= 35) ) )
B6=as.data.frame(t(B6))
B7 = A %>%
summarise( i0_5 = sum( (a >= 0) & (b>= 0 & b<= 35) & (d >=0 & d< 5) ),
i0_10 = sum( (a >= 0) & (b>= 0 & b<= 35) & (d >=0 & d< 10) ),
i0_15 = sum( (a >= 0) & (b>= 0 & b<= 35) & (d >=0 & d< 15) ),
i0_20 = sum( (a >= 0) & (b>= 0 & b<= 35) & (d >=0 & d< 20) ),
i0_25 = sum( (a >= 0) & (b>= 0 & b<= 35) & (d >=0 & d< 25) ),
i0_30 = sum( (a >= 0) & (b>= 0 & b<= 35) & (d >=0 & d< 30) ),
i0_35 = sum( (a >= 0) & (b>= 0 & b<= 35) & (d >=0 & d<= 35) ) )
B7=as.data.frame(t(B7))
Em2=cbind(B1,B2,B3,B4,B5,B6,B7)
colnames(Em2) =c('0-5','0-10','0-15','0-20','0-25','0-30','0-35')
来源：https://stackoverflow.com/questions/48835464/how-to-manage-a-table-matrix-to-obtain-information-using-conditions