Why does "mapstd" returns unexpected dimensions when I apply it to a new sample data?

Why does "mapstd" returns unexpected dimensions when I apply it to a new sample data?

I have 4 sample data, each containing 2 predictor variables:

 

>> X = [ 2 1;
         5 0;
         3 0;
         4 2];

I standardize this using "mapstd" as follow:

 

>> [Xnew, PS] = mapstd(X);

However, when I try standardizing a single new sample data "Xtest", it produces a 4x2 array instead of 1x2 array:

>> Xtest = [2 3];
>> XtestNew = mapstd('apply', Xtest, PS)

XtestNew =
                     0.7071    2.1213
                    -0.1414    0.1414
                     0.2357    0.7071
                    -0.7071         0

Answer 1

[MathWorks Support Team]

The "mapstd" function normalizes the input data row-wise (horizontally). Therefore, with your current implementation, you are actually normalizing each sample individually since you are putting your data one above the other in the following format (4 rows x 2 columns):

   X =
                [ sample1
                  sample2
                  sample3
                  sample4 ]

 In order to use "mapstd" function to normalize each of your 2 predictor variables, you would need to store your data in the following format (2 row x 4 columns):

   X = [ sample1  sample2 sample3 sample4]

 Then, you can use "mapstd" function and get 2 means and 2 standard deviations (one for each predictor variable).

 Making the necessary modification to the original data:

 

>> X = X';   % store sample column by column instead
>> [Xnew, PS] = mapstd(X);   
>> XtestNew = mapstd('apply', Xtest, PS);