I have production (q) values from 4 different methods stored in the 4 matrices. Each of the 4 matrices contains q values from a different method as:
Matrix_1 = 1 row x 20 column Matrix_2 = 100 rows x 20 columns Matrix_3 = 100 rows x 20 columns Matrix_4 = 100 rows x 20 columns
The number of columns indicate the number of years. 1 row would contain the production values corresponding to the 20 years. Other 99 rows for matrix 2, 3 and 4 are just the different realizations (or simulation runs). So basically the other 99 rows for matrix 2,3 and 4 are repeat cases (but not with exact values because of random numbers).
Matrix_1 as the reference truth (or base case ). Now I want to compare the other 3 matrices with
Matrix_1 to see which one among those three matrices (each with 100 repeats) compares best, or closely imitates, with
How can this be done in Matlab?
I know, manually, that we use confidence interval (CI) by plotting the
mean of Matrix_1, and drawing each distribution of
mean of Matrix_2,
mean of Matrix_3 and
mean of Matrix_4. The largest CI among matrix 2, 3 and 4 which contains the reference truth (or
mean of Matrix_1) will be the answer.
mean of Matrix_1 = (1 row x 1 column) mean of Matrix_2 = (100 rows x 1 column) mean of Matrix_3 = (100 rows x 1 column) mean of Matrix_4 = (100 rows x 1 column)
I hope the question is clear and relevant to SA. Otherwise please feel free to edit/suggest anything in question. Thanks!