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How to find the correlation between corresponding columns of two matrices in R?
To find the correlation between corresponding columns of two matrices, we can use mapply function but we will have to read the matrices using as.data.frame function. For example, if we have two matrices called M_1 and M_2 and each of these matrices contains 5 columns then the correlation between corresponding columns of these matrices can be found by using the command mapply(cor,as.data.frame(M_1),as.data.frame(M_2))
Example
Consider the below matrices −
M1<-matrix(1:40,ncol=2) M1
Output
[,1] [,2] [1,] 1 21 [2,] 2 22 [3,] 3 23 [4,] 4 24 [5,] 5 25 [6,] 6 26 [7,] 7 27 [8,] 8 28 [9,] 9 29 [10,] 10 30 [11,] 11 31 [12,] 12 32 [13,] 13 33 [14,] 14 34 [15,] 15 35 [16,] 16 36 [17,] 17 37 [18,] 18 38 [19,] 19 39 [20,] 20 40
Example
M2<-matrix(1:40,ncol=2) M2
Output
[,1] [,2] [1,] 1 21 [2,] 2 22 [3,] 3 23 [4,] 4 24 [5,] 5 25 [6,] 6 26 [7,] 7 27 [8,] 8 28 [9,] 9 29 [10,] 10 30 [11,] 11 31 [12,] 12 32 [13,] 13 33 [14,] 14 34 [15,] 15 35 [16,] 16 36 [17,] 17 37 [18,] 18 38 [19,] 19 39 [20,] 20 40
Finding the correlation between column 1 of M1 and column 1 of M2 for both the columns −
Example
mapply(cor,as.data.frame(M1),as.data.frame(M2))
Output
V1 V2 1 1
Example
M3<-matrix(rpois(40,5),ncol=2) M3
Output
[,1] [,2] [1,] 3 6 [2,] 4 6 [3,] 9 3 [4,] 1 7 [5,] 6 5 [6,] 4 2 [7,] 1 3 [8,] 1 3 [9,] 5 2 [10,] 4 1 [11,] 3 5 [12,] 6 8 [13,] 3 4 [14,] 6 6 [15,] 3 5 [16,] 3 6 [17,] 4 5 [18,] 4 5 [19,] 5 4 [20,] 3 7
Example
M4<-matrix(rpois(40,5),ncol=2) M4
Output
[,1] [,2] [1,] 3 4 [2,] 7 5 [3,] 6 5 [4,] 8 4 [5,] 7 5 [6,] 6 4 [7,] 8 0 [8,] 3 5 [9,] 2 7 [10,] 6 6 [11,] 4 4 [12,] 6 5 [13,] 8 4 [14,] 5 8 [15,] 4 2 [16,] 7 2 [17,] 6 4 [18,] 3 2 [19,] 4 5 [20,] 4 7
Finding the correlation between column 1 of M3 and column 1 of M4 for both the columns −
Example
mapply(cor,as.data.frame(M3),as.data.frame(M4))
Output
V1 V2 -0.06220599 0.01182284
Updated on: 17-Mar-2021
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