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Rectangular Confidence Regions

version 1.0.0.0 (85.6 KB) by Tom Davis
Confidence Hypercubes

2K Downloads

Updated 17 Mar 2008

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R = RCR(S) computes the semi-edge-length of the mean-centered hypercube with 95% probability given S, which is either a covariance matrix or a vector of standard deviations from a multivariate normal distribution. If S is a real, nonnegative vector, RCR(S) is equivalent to RCR(DIAG(S.^2)). Scalar S is treated as a standard deviation.

R = RCR(S,P) computes the semi-edge-length of the hypercube with probability P instead of the default, which is 0.95. R is the two-tailed, equicoordinate quantile corresponding to P. The hypercube edge-length is 2*R.

R = RCR(S,P,NP) uses NP quadrature points instead of the default, which is 2^11. Smaller values of NP result in faster computation, but may yield less accurate results. Use [] as a placeholder to obtain the default value of P.

R = RCR(S,P,NP,M) performs a bootstrap validation with M normally distributed random samples of size 1e6. Use [] as a placeholder to obtain the default value of NP.

R = RCR(S,P,NP,[M N]) performs a bootstrap validation with M normally distributed random samples of size N.

[R,E] = RCR(S,...) returns an error estimate E.

Cite As

Tom Davis (2021). Rectangular Confidence Regions (https://www.mathworks.com/matlabcentral/fileexchange/11627-rectangular-confidence-regions), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R13
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired by: Confidence Region Radius

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