[R] tagging results of "apply"

[Bernzweig, Bruce (Consultant)]

In trying to get a better understanding of vectorization I wrote the
following code:

My objective is to take two sets of time series and calculate the
correlations for each combination of time series.

mat1 <- matrix(sample(1:500, 25), ncol = 5)
mat2 <- matrix(sample(501:1000, 25), ncol = 5)

Scenario 1:
apply(mat1, 1, function(x) cor(mat1, mat2[1,]))

Scenario 2:
apply(mat1, 1, function(x) cor(mat1, mat2))

Using scenario 1, (output below) I can see that correlations are
calculated for just the first row of mat2 against each individual row of
mat1.

Using scenario 2, (output below) I can see that correlations are
calculated for each row of mat2 against each individual row of mat1.  

Q1: The output of scenario2 consists of 25 rows of data.  Are the first
five rows mat1 against mat2[1,], the next five rows mat1 against
mat2[2,], ... last five rows mat1 against mat2[5,]?

Q2: I assign the output of scenario 2 to a new matrix

	matC <- apply(mat1, 1, function(x) cor(mat1, mat2))

    However, I need a way to identify each row in matC as a pairing of
rows from mat1 and mat2.  Is there a parameter I can add to apply to do
this?

Scenario 1:
> apply(mat1, 1, function(x) cor(mat1, mat2[1,]))
           [,1]       [,2]       [,3]       [,4]       [,5]
[1,] -0.4626122 -0.4626122 -0.4626122 -0.4626122 -0.4626122
[2,] -0.9031543 -0.9031543 -0.9031543 -0.9031543 -0.9031543
[3,]  0.0735273  0.0735273  0.0735273  0.0735273  0.0735273
[4,]  0.7401259  0.7401259  0.7401259  0.7401259  0.7401259
[5,] -0.4548582 -0.4548582 -0.4548582 -0.4548582 -0.4548582

Scenario 2:
> apply(mat1, 1, function(x) cor(mat1, mat2))
             [,1]        [,2]        [,3]        [,4]        [,5]
 [1,]  0.19394126  0.19394126  0.19394126  0.19394126  0.19394126
 [2,]  0.26402400  0.26402400  0.26402400  0.26402400  0.26402400
 [3,]  0.12923842  0.12923842  0.12923842  0.12923842  0.12923842
 [4,] -0.74549676 -0.74549676 -0.74549676 -0.74549676 -0.74549676
 [5,]  0.64074122  0.64074122  0.64074122  0.64074122  0.64074122
 [6,]  0.26931986  0.26931986  0.26931986  0.26931986  0.26931986
 [7,]  0.08527921  0.08527921  0.08527921  0.08527921  0.08527921
 [8,] -0.28034079 -0.28034079 -0.28034079 -0.28034079 -0.28034079
 [9,] -0.15251915 -0.15251915 -0.15251915 -0.15251915 -0.15251915
[10,]  0.19542415  0.19542415  0.19542415  0.19542415  0.19542415
[11,]  0.75107032  0.75107032  0.75107032  0.75107032  0.75107032
[12,]  0.53042767  0.53042767  0.53042767  0.53042767  0.53042767
[13,] -0.51163612 -0.51163612 -0.51163612 -0.51163612 -0.51163612
[14,] -0.44396048 -0.44396048 -0.44396048 -0.44396048 -0.44396048
[15,]  0.57018745  0.57018745  0.57018745  0.57018745  0.57018745
[16,]  0.70480284  0.70480284  0.70480284  0.70480284  0.70480284
[17,] -0.36674283 -0.36674283 -0.36674283 -0.36674283 -0.36674283
[18,] -0.81826607 -0.81826607 -0.81826607 -0.81826607 -0.81826607
[19,]  0.53145184  0.53145184  0.53145184  0.53145184  0.53145184
[20,]  0.24568385  0.24568385  0.24568385  0.24568385  0.24568385
[21,] -0.10610402 -0.10610402 -0.10610402 -0.10610402 -0.10610402
[22,] -0.78650748 -0.78650748 -0.78650748 -0.78650748 -0.78650748
[23,]  0.04269423  0.04269423  0.04269423  0.04269423  0.04269423
[24,]  0.14704698  0.14704698  0.14704698  0.14704698  0.14704698
[25,]  0.28340166  0.28340166  0.28340166  0.28340166  0.28340166



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