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Neighbor sampling is random?

4 messages · Paulo Inácio de Kn?==?ISO-8859-1?Q?egt López de Prado, Kingsford Jones, Paulo Prado

Dear r-eco-list users,

This is not an R-question, but a statistical one, but maybe somebody can help.

I had read that to set random points over an area and picking the nearest
plant is not random sample, but I could not recover this article.

Is that correct? Could you provide some basic reference?

Thanks a lot

Paulo

--
Paulo In?cio de Knegt L?pez de Prado
Depto. de Ecologia - Instituto de Bioci?ncias - USP
Rua do Mat?o, travessa 14, n? 321
Cid. Universit?ria, S?o Paulo - SP
CEP 05508-900
11-30917599 (sala)
11-30917600 (Secretaria)
#
This may help a bit with intuition.  Think about randomly picking a
spot in the box below and then choosing the nearest neighbor.  What's
the inclusion probability for 1?  What about 6?  Clearly not a simple
random sample...


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|123       |
|456       |
|           |
|           |
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hth,

Kingsford Jones

2009/7/4 Paulo In?cio de Knegt L?pez de Prado <prado at ib.usp.br>:
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Thank very much to all.

Kingsford's comment remind me that a general way to demonstrate this is
trough a Dirichlet tessellation.

Best

Paulo
Paulo Prado wrote:

  
    
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On Sun, Jul 5, 2009 at 9:42 AM, Paulo Prado<prado at ib.usp.br> wrote:
Indeed -- where calculation of statistics would require weighting by
the inverse of the tile areas (inclusion probabilities)....