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MathGroup Archive 2002

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How to call BinomialDistribution from within a package?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg32223] How to call BinomialDistribution from within a package?
  • From: "Merser" <merser at image.dk>
  • Date: Mon, 7 Jan 2002 03:16:53 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

I've tried to put the my function: MedianCI  into a package.

As this function works fine running as a plain notebook, it looks like
BinomialDistribution[] isn't working when called from within a package?

Does anybody has any idear what I'm doing wrong here ? I'm running
Mathematica 4.0 on W2K.
regards
Soren



BeginPackage["MedianCI`", "Statistics`DiscreteDistributions`",
"Statistics`DescriptiveStatistics`"]
Off[General::spell1];

MedianCI::usage = "MedianCI[data, conf=.95] Returns median with CI at
confidence level=95%"

Begin["`Private`"]

bdist[n_] := BinomialDistribution[n, .5]
cdf[x_, n_] := CDF[bdist[n], x]

Clear[MedianCI];
MedianCI[data_, conf_:.95] :=
  Block[ {d, n, bdist, cdf, alfa, p, plo, phi, lo = 0, hi},
    d = Sort[data];
    n = Length[d];



    alfa = (1 - conf)/2;

    While[(p = cdf[lo, n]) < alfa,
       lo++;
       plo = p;
      ];

    hi = lo + 1;
    While[(phi = cdf[hi, n]) < (1 - alfa),
       hi++;
       ];

    m =Median[d];
    {{"Median", "CI low", "CI high", "Confidence level"},
      {m, d[[lo]], d[[hi + 1]], phi - plo}}
    ]
End[]
EndPackage[]





test:

Median[Range[11]] // TableForm

{{"Median", "CI low", "CI high", "Confidence level"},

{6, List,  2, -MedianCI`Private`plo +
MedianCI`Private`CDF[BinomialDistribution[11, 0.5`], 1]}}



correct:

{{"Median", "CI low", "CI high", "Confidence level"},

      {6, 2, 10, 0.988281}}





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