Re: st: GSAMPLE R3300

[Steve Samuels <sjsamuels@gmail.com>]

-gsample- (and -samplepps-, also from SSC) do the rescaling of the size
measures. However the user must identify and mark the inequality violators "by
hand" and exclude them from subsequent -gsample- runs, and must also take care
to reduce the sample size in those runs. So there's not much automatic about the
process that Stas outlined.


Steve


On Sep 6, 2012, at 6:04 PM, Lucas wrote:

I've never used gsample, but I just assumed after you removed the C
units you could adjust the remaining cases so that their weights sum
to 1.  Sorry I didn't say that.  Not sure this new information alters
Steve's comment.

My understanding of Stas's comment was that one left the certainty
units in and let gsample select them while gsample also selected other
cases, too.  My approach was to remove the certainty units and use
gsample to select the remainder.  As I don't know what follows the
sample selection, nor do I know gsample, I can't tell whether
something is gained by letting gsample select the certainty units.

At any rate, I took the ridiculous step of responding to a question
about a command I have never used because I thought the poster
deserved something more useful than an admonition to not be surprised
if they try to get a command to do something it cannot do when it
doesn't do it.

Sam

On Thu, Sep 6, 2012 at 2:17 PM, Steve Samuels <sjsamuels@gmail.com> wrote:
> 
> 
> Sam:
> 
> You've missed the point of Stas's post: After removing the initial certainty
> units, the scaled size measures (probabilities) of the remaining units must be
> adjusted upward so that they sum to 1. Now additional units might violate the
> inequality quoted in the -gsample- error message. The process is repeated
> until the inequality is not violated for any the remaining units.
> 
> Some alternatives to -gsample- and -samplepps- (SSC):
> Sampford's Method can be found in the SAS SURVEYSELECT procedure. SAS's default
> PPS method is the Hanurav-Vijayan method (Vijayan, 1968); see also Fox (1989)
> and Golmant (1990). Tilley's elimination method can be found in the R "sampling"
> package as the -UPTille- command.
> 
> Tille (2006) is the definitive text these days.
> See also the -help- for Ben Jann's -mf_mm_sample- for more information
> (-gsample- is a wrapper for this).
> 
> References:
> 
> Fox, D. R. (1989), "Computer Selection of Size-Biased Samples," The American
> Statistician, 43(3), 168–171.
> 
> Golmant, J. (1990), "Correction: Computer Selection of Size-Biased Samples," The
> American Statistician, 44(2), 194.
> 
> Tillé, Yves. 2006. Sampling algorithms. New York: Springer.
> 
> Vijayan, K. (1968), "An Exact Sampling Scheme: Generalization of a Method of
> Hanurav," Journal of the Royal Statistical Society, Series B, 30, 556–566.
> 
> 
> Steve
> 
> 
> On Sep 6, 2012, at 1:04 PM, Lucas wrote:
> 
> Why not simply remove the certainty units (C Units), draw the sample
> from the remainder units (R Units) to obtain the sampled units (S
> Units), then add the certainty and sampled sets (C & S) together to
> form the final sample (FS units)?
> 
> Sam
> 
> On Thu, Sep 6, 2012 at 8:44 AM, Stas Kolenikov <skolenik@gmail.com> wrote:
> On Thu, Sep 6, 2012 at 9:28 AM, Lieke Boonen (SiRM)
> <Lieke.Boonen@sirm.nl> wrote:
> We try to take a sample from our population, without replacement. we have several subgroeps with a high sampling weight. However with the gsample command it gives an error because for these cases the w_i*n /sum(w) is lager than 1. We thought the program looked at the relation between the weights and that this should not be a problem. Does anyone recognize this problem and is there a solution for this problem?
> 
> As far as I can recall, -gsample- does a decent job of selecting one
> observation from the list, provided, as you found the hard way, that
> you don't have any certainty units. However, it is not appropriate for
> many real situation sampling problems, which usually require more
> complicated code. You also need to be aware that PPSWOR is a very
> non-trivial and counter-intuitive task. See
> http://www.citeulike.org/user/ctacmo/tag/unequal_prob_sampling for the
> appropriate references. All in all, you probably need to do this:
> 
> 1. Identify the certainty units, set their probability of selection to 1.
> 2. Adjust the probability distribution, pulling up the probabilities
> for other units.
> 3. Check again for the certainty units: repeat steps 1-2 until the
> probability of selection on a single draw have converged.
> 4. Implement your PPS procedure -- systematic sample is the poor man,
> old days shortcut procedure to sample from the physical list on
> sheet(s) of paper that leads to technical difficulties in variance
> estimation; Rao-Hartley-Cochran is the easiest-to-implement shortcut
> that leads to an approximate PPS; Rao-Sampford used to be the most
> rigorous choice until Tille's elimination procedures appeared in the
> literature.
> 
> --
> -- Stas Kolenikov, PhD, PStat (SSC)  ::  http://stas.kolenikov.name
> -- Senior Survey Statistician, Abt SRBI  ::  work email kolenikovs at
> srbi dot com
> -- Opinions stated in this email are mine only, and do not reflect the
> position of my employer
> 
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