I don't think the problem is well defined. Otherwise you could just pick very
small numbers from a range that is guaranteed to keep the sum < h.
B.
On Oct 15, 2015, at 8:48 AM, Rainer M Krug <rai...@krugs.de> wrote:
> Hi
>
> I need a Latin Hypercube with the following conditions:
>
> 0 < x[,"a"] < 1
> 0 < x[,"b"] < 1
> 0 < x[,"c"] < 1
>
> but also
>
> x[,"a"] + x[,"b"] < h
>
> The first three are easy:
>
> --8<---------------cut here---------------start------------->8---
> n <- 1000
>
> lhc <- lhs::randomLHS(n=n, k=3
> colnames(lhc) <- c("a", "b", "c")
>
> x <- lhc
> --8<---------------cut here---------------end--------------->8---
>
> Now the last condition:
>
> I tried
>
> --8<---------------cut here---------------start------------->8---
> h <- 28
> x[,"a"] <- x[,"a"] / 2
> x[,"b"] <- x[,"b"] / 2
> --8<---------------cut here---------------end--------------->8---
>
> But this obviously reduces the individual ranges.
>
> Using the rowSum as in
> https://stat.ethz.ch/pipermail/r-help/2013-October/361263.html
>
> makes the sum of the variables also to 2.
>
> So how can I create a Latin Hypercube which fulfills the conditions?
>
> Rainer
>
> --
> Rainer M. Krug, PhD (Conservation Ecology, SUN), MSc (Conservation Biology,
> UCT), Dipl. Phys. (Germany)
>
> Centre of Excellence for Invasion Biology
> Stellenbosch University
> South Africa
>
> Tel : +33 - (0)9 53 10 27 44
> Cell: +33 - (0)6 85 62 59 98
> Fax : +33 - (0)9 58 10 27 44
>
> Fax (D): +49 - (0)3 21 21 25 22 44
>
> email: rai...@krugs.de
>
> Skype: RMkrug
>
> PGP: 0x0F52F982
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