Sorry - two typos coorected:
If you need x[,"a"] + x[,"b"] equal to 1, then replace any non-zero initial
value of x[,b] with 1-x[,a].
But if you really need "less than" h, you'll need to specify what your desired
distribution of h - (x[,"a"] + x[,"b"]) should look like.
On Oct 15, 2015, at 9:52 AM, Boris Steipe <boris.ste...@utoronto.ca> wrote:
> If you need h equal to 1, then replace any non-zero initial value of x[,b]
> with 1-x[,a].
> But if you really need "less than", you'll need to specify what your desired
> distribution of h - x[,"a"] + x[,"b"] should look like.
>
> No?
>
>
> B.
>
>
>
> On Oct 15, 2015, at 9:27 AM, Rainer M Krug <rai...@krugs.de> wrote:
>
>> Boris Steipe <boris.ste...@utoronto.ca> writes:
>>
>>> 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.
>>
>> What further information is missing? That the variables should be
>> covering the whole range from 0 to 1?
>>
>> OK - forgotten to state that h <- 1.
>>
>> This is for a sensitivity analysis which I want to conduct on a complex
>> function.
>>
>> Rainer
>>
>>
>>>
>>>
>>> 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
>>>> ______________________________________________
>>>> R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see
>>>> https://stat.ethz.ch/mailman/listinfo/r-help
>>>> PLEASE do read the posting guide
>>>> http://www.R-project.org/posting-guide.html
>>>> and provide commented, minimal, self-contained, reproducible code.
>>>
>>
>> --
>> 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
>
> ______________________________________________
> R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.
______________________________________________
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