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oddsdf.m Sets up calibrating frequencies for calculating posterior odds.

% ODDSDF file oddsdf.m Frequencies for calculating odds % Version of 12/4/93% Sets up calibrating frequencies % for calculating posterior oddsA = input('Enter matrix A of frequencies for calibration group 1 '); B = input('Enter matrix B of frequencies for calibration group 2 ');n = length(A(:,1)); % Number of questions (rows of A) m = length(A(1,:)); % Number of answers to each questionp1 = sum(A(1,:)); % Number in calibration group 1 p2 = sum(B(1,:)); % Number in calibration group 2a = A/p1; b = B/p2;disp(' ') % Blank line in presentation disp(['Number of questions = ',num2str(n),]) % Size of profile disp(['Answers per question = ',num2str(m),]) % Usually 3: yes, no, uncertain disp(' Enter code for answers and call for procedure "odds" ')disp(' ')
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oddsdp.m Sets up conditional probabilities for odds calculations.

% ODDSDP file oddsdp.m Conditional probs for calculating posterior odds % Version of 12/4/93% Sets up conditional probabilities % for odds calculationsa = input('Enter matrix A of conditional probabilities for Group 1 '); b = input('Enter matrix B of conditional probabilities for Group 2 ');p1 = input('Probability p1 an individual is from Group 1 '); n = length(a(:,1));m = length(a(1,:)); p2 = 1 - p1;disp(' ') % Blank line in presentation disp(['Number of questions = ',num2str(n),]) % Size of profile disp(['Answers per question = ',num2str(m),]) % Usually 3: yes, no, uncertain disp(' Enter code for answers and call for procedure "odds" ')disp(' ')
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Bernoulli and multinomial trials

btdata.m Sets parameter p and number n of trials for generating Bernoulli sequences. Prompts for bt to generate the trials.

% BTDATA file btdata.m Parameters for Bernoulli trials % Version of 11/28/92% Sets parameters for generating Bernoulli trials % Prompts for bt to generate the trialsn = input('Enter n, the number of trials '); p = input('Enter p, the probability of success on each trial ');disp(' ') disp(' Call for bt')disp(' ')
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bt.m Generates Bernoulli sequence for parameters set by btdata. Calculates relative frequency of “successes.”

% BT file bt.m Generates Bernoulli sequence % version of 8/11/95 Revised 7/31/97 for version 4.2 and 5.1, 5.2% Generates Bernoulli sequence for parameters set by btdata % Calculates relative frequency of 'successes'clear SEQ; B = rand(n,1)<= p; % ones for random numbers<= p F = sum(B)/n; % relative frequency of onesN = [1:n]'; % display detailsdisp(['n = ',num2str(n),' p = ',num2str(p),])disp(['Relative frequency = ',num2str(F),])SEQ = [N B];clear N; clear B;disp('To view the sequence, call for SEQ') disp(' ')
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binomial.m Uses ibinom and cbinom to generate tables of the individual and cumulative binomial probabilities for specified parameters. Note that for calculation in MATLAB it is usually much more convenient and efficient to use ibinom and/or cbinom .

% BINOMIAL file binomial.m Generates binomial tables % Version of 12/10/92 (Display modified 4/28/96)% Calculates a TABLE of binomial probabilities % for specified n, p, and row vector k,% Uses the m-functions ibinom and cbinom.n = input('Enter n, the number of trials '); p = input('Enter p, the probability of success ');k = input('Enter k, a row vector of success numbers '); y = ibinom(n,p,k);z = cbinom(n,p,k); disp([' n = ',int2str(n),' p = ' num2str(p)]) H = [' k P(X = k) P(X>= k)'];disp(H) disp([k;y;z]')
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Source:  OpenStax, Applied probability. OpenStax CNX. Aug 31, 2009 Download for free at http://cnx.org/content/col10708/1.6
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