Compute the probability that two functions are correlated at a given spherical harmonic degree for a given correlation coefficient.

## Usage

`prob`

= SHConfidence (`l`

, `corr`

)

## Parameters

`prob`

: output, real(dp)- Probability that two functions expressed in spherical coefficients with spectral correlation
`corr`

are correlated at degree`l`

. `l`

: input, integer- The spherical harmonic degree.
`corr`

: input, real(dp)- The correlation coefficient of the two data sets at degree
`l`

.

## Description

`SHConfidence`

will calculate the probability (between 0 and 1) that two sets of spherical harmonic coefficients with spectral correlation `corr`

are linearly correlated at a given degree. This is calculated using equation A7 from Pauer et al. (2006).

## References

Pauer, M, K. Fleming, and O. Cadek, Modeling the dynamic component of the geoid and topography of Venus, J. Geophys. Res., 111, E11012, doi:10.1029/2005JE002511, 2006.

## See also

shadmitcorr, shpowerspectrum, shcrosspowerspectrum

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