# signal.to.noise.R2: Signal to noise using squared multiple correlation... In MBESS: The MBESS R Package

 signal.to.noise.R2 R Documentation

## Signal to noise using squared multiple correlation coefficient

### Description

Function that calculates five different signal-to-noise ratios using the squared multiple correlation coefficient.

### Usage

``````signal.to.noise.R2(R.Square, N, p)
``````

### Arguments

 `R.Square` usual estimate of the squared multiple correlation coefficient (with no adjustments) `N` sample size `p` number of predictors

### Details

The method of choice is `phi2.UMVUE.NL`, but it requires `p` of 5 or more. In situations where `p` < 5, it is suggested that `phi2.UMVUE.L` be used.

### Value

 `phi2.hat` Basic estimate of the signal-to-noise ratio using the usual estimate of the squared multiple correlation coefficient: `phi2.hat`=`R.Square`/(1-`R.Square`) `phi2.adj.hat` Estimate of the signal-to-noise ratio using the usual adjusted R Square in place of R-Square: `phi2.hat`=Adj.R2/(1-Adj.R2) `phi2.UMVUE` Muirhead's (1985) unique minimum variance unbiased estimate of the signal-to-noise ratio (Muirhead uses theta-U): see reference or code for formula `phi2.UMVUE.L` Muirhead's (1985) unique minimum variance unbiased linear estimate of the signal-to-noise ratio (Muirhead uses theta-L): see reference or code for formula `phi2.UMVUE.NL` Muirhead's (1985) unique minimum variance unbiased nonlinear estimate of the signal-to-noise ratio (Muirhead uses theta-NL); requires the number of predictors to be greater than five: see reference or code for formula

### Author(s)

Ken Kelley (University of Notre Dame; KKelley@ND.Edu)

### References

Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale, NJ: Lawrence Erlbaum.

Muirhead, R. J. (1985). Estimating a particular function of the multiple correlation coefficient. Journal of the American Statistical Association, 80, 923–925.

`ci.R2`, `ss.aipe.R2`

### Examples

``````signal.to.noise.R2(R.Square=.5, N=50, p=2)
signal.to.noise.R2(R.Square=.5, N=50, p=5)
signal.to.noise.R2(R.Square=.5, N=100, p=2)
signal.to.noise.R2(R.Square=.5, N=100, p=5)
``````

MBESS documentation built on Oct. 26, 2023, 9:07 a.m.