R: RV coefficients

RV {MatrixCorrelation} | R Documentation

## RV coefficients

### Description

Three different RV coefficients: RV, RV2 and adusted RV.

### Usage

    RV(X1, X2, center = TRUE)

    RV2(X1, X2, center = TRUE)

    RVadjMaye(X1, X2, center = TRUE)

    RVadjGhaziri(X1, X2, center = TRUE)

    RVadj(X1, X2, version = c("Maye", "Ghaziri"), center = TRUE)

### Arguments

`X1` | first `matrix` to be compared (`data.frames` are also accepted).
`X2` | second `matrix` to be compared (`data.frames` are also accepted).
`center` | `logical` indicating if input matrices should be centered (default = TRUE).
`version` | Which version of RV adjusted to apply: "Maye" (default) or "Ghaziri" RV adjusted is run using the `RVadj` function.

### Details

For each of the four coefficients a single scalar is computed to describe the similarity between the two input matrices.

### Value

A single value measuring the similarity of two matrices.

### Author(s)

Kristian Hovde Liland, Benjamin Leutner (RV2)

### References

- RV: Robert, P.; Escoufier, Y. (1976). "A Unifying Tool for Linear Multivariate Statistical Methods: The RV-Coefficient". Applied Statistics 25 (3): 257-265.

- RV2: Smilde, AK; Kiers, HA; Bijlsma, S; Rubingh, CM; van Erk, MJ (2009). "Matrix correlations for high-dimensional data: the modified RV-coefficient". Bioinformatics 25(3): 401-5.

- Adjusted RV: Maye, CD; Lorent, J; Horgan, GW. (2011). "Exploratory analysis of multiple omics datasets using the adjusted RV coefficient". Stat Appl Genet Mol Biol. 10(14).

- Adjusted RV: El Ghaziri, A; Qannari, E.M. (2015) "Measures of association between two datasets; Application to sensory data", Food Quality and Preference 40 (A): 116-124.

### See Also

`SMI`, `r1` (r2/r3/r4/GCD), `Rozeboom`, `Coxhead`.

### Examples

    X1  <- matrix(rnorm(100*300),100,300)
    usv <- svd(X1)
    X2  <- usv$u[,-3] %*% diag(usv$d[-3]) %*% t(usv$v[,-3])

    RV(X1,X2)
    RV2(X1,X2)
    RVadj(X1,X2)

[Package MatrixCorrelation version 0.9.5 Index]