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annotate m-toolbox/classes/+utils/@math/Fcdf.m @ 33:5e7477b94d94 database-connection-manager

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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
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1 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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2 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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3 % Compute cumulative F distribution function
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4 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 % CALL
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6 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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7 % p = Fcdf(x,n1,n2);
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8 %
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9 %
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10 % INPUT
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11 %
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12 % - x, probability
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13 % - n1, degree of freedom 1
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14 % - n2, degree of freedom 2
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15 %
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16 % References:
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17 % [1] M. Abramowitz and I. A. Stegun, "Handbook of Mathematical
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18 % Functions", Government Printing Office, 1964, 26.6.
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19 %
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20 %
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21 % L Ferraioli 06-12-2010
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22 %
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23 % $Id: Fcdf.m,v 1.1 2010/12/06 19:14:36 luigi Exp $
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24 %
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25 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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26 function p = Fcdf(x,n1,n2)
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27
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28 x = n2./(n2+x.*n1);
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29 p = betainc(x, n2/2, n1/2, 'upper');
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30
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31 % % Compute P when X > 0.
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32 % k = find(x > 0 & isfinite(n1) & isfinite(n2));
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33 % if any(k)
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34 % k1 = (n2(k) <= x(k).*n1(k));
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35 % % use A&S formula 26.6.2 to relate to incomplete beta function
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36 % % Also use 26.5.2 to avoid cancellation by subtracting from 1
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37 % if any(k1)
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38 % kk = k(k1);
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39 % xx = n2(kk)./(n2(kk)+x(kk).*n1(kk));
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40 % p(kk) = betainc(xx, n2(kk)/2, n1(kk)/2,'upper');
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41 % end
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42 % if any(~k1)
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43 % kk = k(~k1);
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44 % num = n1(kk).*x(kk);
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45 % xx = num ./ (num+n2(kk));
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46 % p(kk) = betainc(xx, n1(kk)/2, n2(kk)/2,'lower');
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47 % end
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48 end