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proportion

R package for proportion

Multiple procedures to obtain an interval estimate for an unknown proportion (p) based on binomial sampling. It is known that approximations are poor when the true p is close to zero or to one. So we provide alternative procedures with better properties. Non-iterative methods widely discussed in litrature for computing a (central) two-sided interval estimate for p are implemented in terms of coverage probability and expected length.

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install.packages('proportion')

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21

Version

1.2.0

License

GPL-2

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Repository

https://github.com/RajeswaranV/proportion

Maintainer

Rajeswaran Viswanathan

Last Published

January 17th, 2016

Functions in proportion (1.2.0)

Plots the CI estimation of 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine) grouped by x value

Plots the CI estimation of continuity corrected ArcSine method given n, alp and c

Plots the CI estimation of 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine) grouped by x value

Plots the CI estimation of 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine) grouped by x value

Plots the Coverage Probability using adjusted ArcSine method

Plots the Expected length using adjusted ArcSine method

Plots the CI estimation of 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine) grouped by x value

Graphs of Coverage Probability for 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine)

Plots Coverage Probability for base Score method

A package for binomial proportion

Proportion: Let x denote the number of successes in n independent Bernoulli trials with X ~ Binomial (n, p) then phat = x/n denotes the sample proportion.

Plot the Bayesian method of expected length calculation

Plot of CI estimation of adjusted Score

Plots the CI estimation of continuity corrected Score method given n, alp and c

Plots ArcSine method of expected length

Plots graph of simulation based Coverage Probability with simulated p in [0,1]

Plots the Coverage Probability using 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Plot of error, long term power and pass/fail criteria using 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Plots Coverage Probability for base Likelihood Ratio method

Plots the CI estimation of 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Plot of CI estimation of adjusted Logit Wald

Plots the error, long term power and pass/fail criteria for continuity corrected Wald-t method

Plots error, long term power and pass/fail criteria using adjusted Likelihood Ratio method

Plots likelihood Ratio method of sum of length calculation

Plots the CI estimation of 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine) given n, alp and c

Plots Coverage Probability for base Logit Wald method

Plots the error, long term power and pass/fail criteria for continuity corrected Logit Wald method

Plots the Expected length using continuity corrected ArcSine method

Plots error, long term power and pass/fail criteria using Bayesian method

Plots p-confidence and p-bias for adjusted Likelihood Ratio method

Plots the expected length for Wald method

Plots the Expected length using continuity corrected Wald method

Plots of p-confidence and p-bias of Exact method given n and alpha level

Plots the Expected length using continuity corrected Wald-T method

Plots the Expected length using adjusted Wald-T method

Plots the error, long term power and pass/fail criteria for continuity corrected Score method

Plots the sum of length using continuity corrected Wald-T method

Plots Coverage Probability for base ArcSine method

Plot of CI estimation of adjusted Wald-T

Plots the CI estimation of 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine) grouped by x value

Plots the Coverage Probability using adjusted Score method

Graphs of Coverage Probability for continuity corrected Wald method

Plots Coverage Probability for base Wald method

Plots the CI estimation of 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine) given n, alp and x with continuity correction c

Plots the length summary for Wald method

Plots p-confidence and p-bias for a given n and alpha level for 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Plots the summary length using adjusted Wald-T method

Plots the CI estimation of 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Continuity corrected ArcSine method of CI estimation

Continuity corrected Logit Wald method of CI estimation

Graphs of Coverage Probability for continuity corrected Score method

Plots p-confidence and p-bias for adjusted Logit Wald method

Plots error, long term power and pass/fail criteria using Exact method

Plots the CI estimation of ArcSine method

Likelihood Ratio method of CI estimation

Plots the summary length using adjusted Wald method

Graphs of basic Coverage Probability 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Plots error, long term power and pass/fail criteria using Score method

Plots the CI estimation of Wald-T method

Plots the Expected length using continuity corrected Score method

Plot the expected length given hypothetical "p"

Plots the CI estimation of Wald method

Plots the sum of length using continuity corrected Score method

Plots likelihood Ratio method of expected length

Plot of CI estimation of adjusted ArcSine

Plots p-confidence and p-bias for a given n and alpha level for 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Plots Logit Wald method of expected length

Graphs of Coverage Probability for continuity corrected Wald-T method

Plots the CI estimation of the exact method

Plots p-confidence and p-bias for base ArcSine method

Plots the CI estimation of Likelihood Ratio method

Plot of CI estimation of adjusted Likelihood Ratio

Plots p-confidence and p-bias for base Likelihood Ratio method

Plots p-confidence and p-bias for base Logit Wald method

Plots Logit Wald method of sum of length calculation

Plots error, long term power and pass/fail criteria using adjusted Wald-T method

Wald-T method of CI estimation

Plots error, long term power and pass/fail criteria using Logit Wald method

Plots the CI estimation of exact methods

Plots the Coverage Probability using adjusted Logistic Wald method

Plots the sum of length using continuity corrected ArcSine method

Plots p-confidence and p-bias for adjusted Wald method

Plots the length summary for Score method

Coverage Probability of Continuity corrected Logit Wald method

Expected length and sum of length of Score method

Plots the Coverage Probability using adjusted Likelihood Ratio method

Plots Coverage Probability for base Wald-T method

Plots the error, long term power and pass/fail criteria for continuity corrected Wald method

Plots the calculated error, long term power and pass/fail criteria using 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine)

Plot the Bayesian method of length summary

Plots the summary length using adjusted Score method

Plot of simulation based Coverage Probability with discrete values for p

Plots the Expected length using 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Plots error, long term power and pass/fail criteria using Likelihood Ratio method

CI estimation of 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine)

Plots error, long term power and pass/fail criteria using Wald method

Plots the CI estimation of 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine) given x & n grouped by x value

Plots the CI estimation of 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Plots the CI estimation of continuity corrected Wald method given n, alp and c

Plots error, long term power and pass/fail criteria using ArcSine method

Plots the Coverage Probability using adjusted Wald-T method

Plots the sum of length for 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine)

Plots the Expected length using 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Plots p-confidence and p-bias for base Wald method

Coverage Probability of Adjusted Wald-T method for given n

Plots p-confidence and p-bias for a given n and alpha level for 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine)

Plots the Expected length using adjusted Likelihood Ratio method

Bayesian method of CI estimation with Beta prior distribution

Plots the sum of length using continuity corrected Logit Wald method

Calculates error, long term power and pass/fail criteria for adjusted Score method

Adjusted Logit-Wald method of CI estimation

Coverage Probability using 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Plots p-confidence and p-bias for continuity corrected ArcSine method

Plots the sum of length using continuity corrected Wald method

CI estimation of 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Calculates error, long term power and pass/fail criteria for continuity corrected Wald method

Plots the sum of lengths for a specific LL and UL

Plots Wald-T method of expected length

Plots p-confidence and p-bias for continuity corrected Wald-T method

Calculates error, long term power and pass/fail criteria for continuity corrected Score method

General Coverage Probability given hypothetical "p" Coverage probability for CI obtained from any method and discrete hypothetical p

Plots the summary length using adjusted Likelihood Ratio method

ArcSine method of CI estimation

Plots the summary length using adjusted Logit Wald method

Expected length and sum of length of Wald method

Adjusted ArcSine method of CI estimation

Adjusted Likelihood method of CI estimation

Coverage Probability of Adjusted Logit Wald method for given n

Plots Wald-T method of sum of length calculation

Plots p-confidence and p-bias for continuity corrected Score method

Adjusted ArcSine method of CI estimation

Plots the summary length using adjusted ArcSine method

Base Score method of CI estimation

Plots the length summary for exact method

Coverage Probability of Continuity corrected Wald-T method

p-Confidence and p-Bias estimation for adjusted Likelihood method

CI estimation of 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine) given x and n

Calculates error, long term power and pass/fail criteria for Exact method

Adjusted Score method of CI estimation

Continuity corrected Wald method of CI estimation

Plots the length summary for 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Likelihood Ratio method of CI estimation

Plots p-confidence and p-bias for continuity corrected Logit Wald method

Specific CI estimation of 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

p-confidence and p-bias for Bayesian method given n and alpha level and priors a & b

Coverage Probability of Adjusted Score method for given n

CI estimation of 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine) given adding factor

Plots p-confidence and p-bias for adjusted ArcSine method

Performs expected length and sum of length of Adjusted Score method

Base ArcSine method of CI estimation

Adjusted Wald method of CI estimation

Bayesain Hypothesis testing given x: Hypothesis 1: Theta = Theta0 Vs Theta <> Theta0

Plots ArcSine method of sum of length calculation

Plots the CI estimation of continuity corrected Wald-T method given n, alp and c

Continuity corrected Logit-Wald method of CI estimation

Plots p-confidence and p-bias for Bayesian method given n and alpha level and priors a & b

Bayesian method of CI estimation with different or same parameteric values for Beta prior distribution

Exact method of CI estimation

Plots the Expected length using adjusted Score method

Continuity corrected Score method of CI estimation

Coverage Probability of Continuity corrected Wald method

Coverage Probability of Continuity corrected Score method

Coverage Probability of Exact method

Adjusted Wald method of CI estimation

Calculates error, long term power and pass/fail criteria for Wald-T method

Adjusted WALD-T method of CI estimation

Coverage Probability of likelihood method

CI estimation of 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine)

Coverage Probability of Wald-T method

Plots error, long term power and pass/fail criteria using 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Plots error, long term power and pass/fail criteria using adjusted Logit Wald method

Coverage Probability of Adjusted ArcSine method for given n

Plots p-confidence and p-bias for base Score method

Calculates error, long term power and pass/fail criteria using 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine)

Wald method of CI estimation

Plots p-confidence and p-bias for base Wald-T method

Exact method of CI estimation

Coverage Probability of Wald method

Plots the error, long term power and pass/fail criteria for continuity corrected ArcSine method

Calculates error, long term power and pass/fail criteria for Likelihood Ratio method

Continuity corrected ArcSine method of CI estimation

Bayesain Hypothesis testing given x: Hypothesis 3: Theta = Theta0 Vs Theta < Theta0

Adjusted Logit-Wald method of CI estimation

Coverage Probability of Logit Wald method

Bayesain Hypothesis testing : Hypothesis 2: Theta = Theta0 Vs Theta > Theta0

Wald-T method of CI estimation

Adjusted Score method of CI estimation

Performs expected length and sum of length of Adjusted Likelihood method Performs expected length and sum of length of Adjusted Likelihood method

Expected length and sum of length of Adjusted ArcSine method

Calculates error, long term power and pass/fail criteria for Wald method

Bayesain Hypothesis testing :Hypothesis 4: Theta <= Theta0 Vs Theta > Theta0

Coverage Probability using simulation Coverage probability for CI obtained from any method over the space [0, 1]

Expected Length summary of continuity corrected Logit Wald method

Plots the Expected length using continuity corrected Logit Wald method

Bayesain Hypothesis testing given x: Hypothesis 5: Theta >= Theta0 Vs Theta < Theta0

Calculates error, long term power and pass/fail criteria for Bayesian method

Continuity corrected Wald-T method of CI estimation

Calculates error, long term power and pass/fail criteria using 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Plots the sum of length using calculated using simulation

Calculates error, long term power and pass/fail criteria for ArcSine method

Plots the expected length for Score method

Performs expected length and sum of length of Adjusted Wald-T method

Coverage Probability of Adjusted Likelihood method for given n

p-confidence and p-bias for Logit Wald method given n and alpha level

The empirical Bayesian approach for Beta-Binomial model given x

Expected Length summary of continuity corrected Score method

Bayesain Hypothesis testing : Hypothesis 1: Theta = Theta0 Vs Theta <> Theta0

Plots p-confidence and p-bias for adjusted Wald-T method

Coverage Probability for 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Coverage Probability of Bayesian method

Calculates error, long term power and pass/fail criteria for adjusted Wald-T method

Expected Length summary of continuity corrected ArcSine method

Logit Wald method of CI estimation

p-Confidence and p-Bias estimation for adjusted Wald method

Performs expected length and sum of length of Adjusted Wald method

Continuity corrected Wald-T method of CI estimation

Expected length and sum of length of Logit Wald method

Sum of length calculated using simulation method

Coverage Probability for 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine)

Expected Length summary calculation using 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

p-Confidence and p-Bias estimation for continuity corrected Score method

Performs p-Confidence and p-Bias estimation of 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine) given adding factor

Coverage Probability of Continuity corrected ArcSine method

Plots the CI estimation of Score method

p-confidence and p-bias for T-Wald method given n and alpha level

Calculates error, long term power and pass/fail criteria for adjusted Likelihood Ratio method

Coverage Probability of Score method

Calculates the sum of lengths for a specific LL and UL

Continuity corrected Wald method of CI estimation

Bayesian posterior Probabilities

Plots the CI estimation of Bayesian method

Expected Length summary calculation using 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine)

Plots the Expected length using 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine)

Coverage Probability of ArcSine method

Calculates error, long term power and pass/fail criteria for continuity corrected ArcSine method

Wald method of CI estimation

Calculates error, long term power and pass/fail criteria for Logit Wald method

Expected length and sum of length of ArcSine method

Calculates error, long term power and pass/fail criteria for Score method

Calculates error, long term power and pass/fail criteria for adjusted Wald method

Calculates error, long term power and pass/fail criteria for continuity corrected Wald-T method

p-Confidence and p-Bias estimation for adjusted ArcSine method

Plots p-confidence and p-bias for continuity corrected Wald method

The Predicted probability - Bayesian approach

p-Confidence and p-Bias estimation for adjusted Score method

Bayesain Hypothesis testing given x: Hypothesis 6: Theta < Theta1 Vs Theta > Theta2

Expected length and sum of length of Bayesian method

AdjustedLikelyhood Ratio method of CI estimation

p-confidence and p-bias for Exact method given n and alpha level

p-Confidence and p-Bias estimation for continuity corrected Logit Wald method

Plots p-Confidence and p-Bias estimation for general method

p-confidence and p-bias for Likelihood method given n and alpha level

Calculates error, long term power and pass/fail criteria for adjusted Logit Wald method

Calculates error, long term power and pass/fail criteria using 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Calculates error, long term power and pass/fail criteria for continuity corrected Logit Wald method

p-confidence and p-bias for ArcSine method given n and alpha level

p-confidence and p-bias for Score method given n and alpha level

Expected Length summary of continuity corrected Wald method

Performs p-Confidence and p-Bias estimation only using n, lower limit and upper limit for general method

Expected Length summary calculation using 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Performs p-Confidence and p-Bias estimation for 5 continuity corrected methods (Wald, Wald-T, Score, Logit-Wald, ArcSine)

p-Confidence and p-Bias estimation for adjusted Logit-Wald method

Expected Length summary of continuity corrected Wald-T method

Bayesian posterior Probabilities

Bayesain Hypothesis testing : Hypothesis 3: Theta = Theta0 Vs Theta < Theta0

The empirical Bayesian approach for Beta-Binomial model

Expected length and sum of length of Exact method

Bayesain Hypothesis testing : Hypothesis 5: Theta >= Theta0 Vs Theta < Theta0

Coverage Probability of Adjusted Wald method for given n

Expected length and sum of length of likelihood Ratio method

Calculates error, long term power and pass/fail criteria for adjusted ArcSine method

p-Confidence and p-Bias estimation for adjusted Wald-T method

p-Confidence and p-Bias estimation for continuity corrected Wald method

Bayesain Hypothesis testing given x: Hypothesis 4: Theta <= Theta0 Vs Theta > Theta0

p-Confidence and p-Bias estimation for continuity corrected ArcSine method

Plot for Exact method of expected length calculation

Plots the CI estimation of Logit Wald method

Graphs of Coverage Probability for continuity corrected ArcSine method

Plots error, long term power and pass/fail criteria using adjusted ArcSine method

Graphs of Coverage Probability - exact method

Plots error, long term power and pass/fail criteria using adjusted Wald method

Plots the expected length using calculated using simulation

Plots p-confidence and p-bias for adjusted Score method

Continuity corrected Score method of CI estimation

Bayesain Hypothesis testing given x: Hypothesis 2: Theta = Theta0 Vs Theta > Theta0

Graphs of Coverage Probability for continuity corrected Logistic Wald method

Plots the CI estimation of 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine) methods

Plots error, long term power and pass/fail criteria using Wald-T method

Plots the Expected length using adjusted Wald method

Logit Wald method of CI estimation

Calculates error, long term power and pass/fail criteria for CI obtained from any method

Calculates p-confidence and p-bias for a given n and alpha level for 6 base methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Performs expected length and sum of length of Adjusted Logit Wald method

Expected length and sum of length of Wald-T method

Plot of CI estimation of adjusted Wald

p-Confidence and p-Bias estimation for continuity corrected Wald-T method

p-confidence and p-bias for Wald method given n and alpha level

Plots the CI estimation of continuity corrected Logit Wald method given n, alp and c

Plots the Coverage Probability using adjusted Wald method

Graphs of Coverage Probability of the Bayesian method

Plots the Expected length using adjusted Logit Wald method

Plots the length summary for 6 adjusted methods (Wald, Wald-T, Likelihood, Score, Logit-Wald, ArcSine)

Plots error, long term power and pass/fail criteria using adjusted Score method

AdjustedWALD-T method of CI estimation

Score method of CI estimation

Bayesain Hypothesis testing : Hypothesis 6: Theta < Theta1 Vs Theta > Theta2

The Predicted probability - Bayesian approach