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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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43

Version

2.0.0

License

GPL-2

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Repository

https://github.com/RajeswaranV/proportion

Maintainer

Rajeswaran Viswanathan

Last Published

May 3rd, 2017

Functions in proportion (2.0.0)

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

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 ArcSine method

Plot of CI estimation of adjusted Score

Plot of CI estimation of adjusted Likelihood Ratio

Plot of CI estimation of adjusted Logit Wald

A package for binomial proportion

Proportion: Let x denote the number of successes in n independent Bernoulli trials with

Plot of CI estimation of adjusted ArcSine

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

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

Plot of CI estimation of adjusted Wald-T

Plot of CI estimation of adjusted Wald

Plots the Coverage Probability using adjusted Score method

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

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

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

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

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

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

Plots the CI estimation of Likelihood Ratio method

Plots the CI estimation of Logit Wald method

Plots the CI estimation of Wald method

Plots the Coverage Probability using adjusted ArcSine method

Graphs of Coverage Probability of the Bayesian method

Graphs of Coverage Probability for continuity corrected ArcSine method

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

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

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

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

Plots the Coverage Probability using adjusted Likelihood Ratio method

Graphs of Coverage Probability for continuity corrected Wald method

Graphs of Coverage Probability - exact method

Plots Coverage Probability for base Wald method

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

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

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

Plots the Coverage Probability using adjusted Wald-T method

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

Graphs of Coverage Probability for continuity corrected Logistic Wald method

Plot of simulation based Coverage Probability with discrete values for p

Plots the Coverage Probability using adjusted Logistic Wald method

Plots Coverage Probability for base ArcSine method

Plot of error, long term power and pass/fail criteria using 6 adjusted methods

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

Plots the CI estimation of Bayesian method

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

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

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

Plots the CI estimation of Score method

Plots the CI estimation of Wald-T method

Graphs of Coverage Probability for continuity corrected Score method

Graphs of Coverage Probability for continuity corrected Wald-T method

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

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

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

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

Plots the Expected length using adjusted Logit Wald method

Plots ArcSine method of expected length

Plots Logit Wald method of expected length

Plots the expected length for Score method

Plots the CI estimation of exact methods

Plots the CI estimation of the exact method

Plots the Coverage Probability using adjusted Wald method

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

Plots Coverage Probability for base Logit Wald method

Plots Coverage Probability for base Score method

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

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

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

Plots the calculated error, long term power and pass/fail criteria using 5 continuity

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

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

Plots the Expected length using adjusted ArcSine method

Plots the sum of length using continuity corrected Score method

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

Plots the sum of length using calculated using simulation

Plots Wald-T method of sum of length calculation

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

Plots the Expected length using adjusted Likelihood Ratio method

Plots the Expected length using continuity corrected Score method

Plot the expected length given hypothetical "p"

Plots likelihood Ratio method of expected length

Plots the summary length using adjusted Logit Wald method

Plots ArcSine method of sum of length calculation

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

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

Plots the Expected length using adjusted Score method

Plots the Expected length using adjusted Wald-T method

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

Plots the summary length using adjusted Likelihood Ratio method

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

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

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

Plots the Expected length using continuity corrected Wald-T method

Plots the summary length using adjusted Score method

Plots the summary length using adjusted Wald-T method

Plots the summary length using adjusted Wald method

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

Plots Coverage Probability for base Wald-T method

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

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

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

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

Adjusted WALD-T method of CI estimation

AdjustedWALD-T method of CI estimation

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

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

Plot the Bayesian method of expected length calculation

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

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

Logit Wald method of CI estimation

Plots the Expected length using continuity corrected ArcSine method

Plots the Expected length using continuity corrected Wald method

Plot for Exact method of expected length calculation

Plots the expected length for Wald method

Plots the summary length using adjusted ArcSine method

Plots the sum of lengths for a specific LL and UL

Plots likelihood Ratio method of sum of length calculation

Logit Wald method of CI estimation

Coverage Probability of ArcSine method

Coverage Probability of Adjusted Score method for given n

Plots the sum of length using continuity corrected Logit Wald method

Plots p-confidence and p-bias for a given n and alpha level for

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

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

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

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

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

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

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

Plots Logit Wald method of sum of length calculation

Plots the length summary for Score method

Adjusted Logit-Wald method of CI estimation

Adjusted Logit-Wald method of CI estimation

Plot the Bayesian method of length summary

Plots the sum of length using continuity corrected ArcSine method

Plots the length summary for Wald method

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

ArcSine method of CI estimation

Adjusted Score method of CI estimation

Bayesian method of CI estimation with different or same parameteric values

Bayesian method of CI estimation with Beta prior distribution

Adjusted Score method of CI estimation

Base ArcSine method of CI estimation

Continuity corrected Wald-T method of CI estimation

Plots Coverage Probability for base Likelihood Ratio method

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

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

Plots the Expected length using adjusted Wald method

Continuity corrected Wald-T method of CI estimation

Score method of CI estimation

Base Score method of CI estimation

Coverage Probability of Adjusted ArcSine method for given n

Continuity corrected Score method of CI estimation

Continuity corrected Score method of CI estimation

Likelihood Ratio method of CI estimation

Likelihood Ratio method of CI estimation

Coverage Probability for 6 adjusted methods

Coverage Probability of Continuity corrected Logit Wald method

Coverage Probability of Continuity corrected Score method

Coverage Probability of Score method

Coverage Probability of likelihood method

Coverage Probability of Logit Wald method

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

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

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

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

Expected Length summary of continuity corrected Score method

Expected Length summary of continuity corrected Wald-T method

Sum of length calculated using simulation method

Expected length and sum of length of Wald-T method

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

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

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

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

Plots the Expected length using continuity corrected Logit Wald method

Coverage Probability using simulation Coverage probability for CI obtained from

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 ArcSine method

Plots the expected length using calculated using simulation

Plots Wald-T method of expected length

Plots the sum of length using continuity corrected Wald method

Plots the length summary for exact method

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

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

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

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

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

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

Expected Length summary calculation using 5 continuity corrected methods

Expected Length summary of continuity corrected Logit Wald method

Expected length and sum of length of Wald method

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

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

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

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

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

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

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

Wald-T method of CI estimation

Wald-T method of CI estimation

Coverage Probability of Continuity corrected Wald-T method

Coverage Probability of Continuity corrected Wald method

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

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

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

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

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

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

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

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

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

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

Performs expected length and sum of length of Adjusted Likelihood method

Expected length and sum of length of Logit Wald method

Expected length and sum of length of Score method

Performs p-Confidence and p-Bias estimation only using n,

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

Bayesian posterior Probabilities

Bayesian posterior Probabilities

Adjusted ArcSine method of CI estimation

Adjusted ArcSine method of CI estimation

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

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

Continuity corrected ArcSine method of CI estimation

Continuity corrected ArcSine method of CI estimation

Exact method of CI estimation

Exact method of CI estimation

Coverage Probability of Continuity corrected ArcSine method

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

Coverage Probability of Exact method

General Coverage Probability given hypothetical "p" Coverage probability for CI

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

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

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

Adjusted Likelihood method of CI estimation

AdjustedLikelyhood Ratio method of CI estimation

Continuity corrected Logit Wald method of CI estimation

Plots p-confidence and p-bias for a given n and alpha level for

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

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

Adjusted Wald method of CI estimation

Adjusted Wald method of CI estimation

Continuity corrected Wald method of CI estimation

Continuity corrected Wald method of CI estimation

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

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

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

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

Continuity corrected Logit-Wald method of CI estimation

Wald method of CI estimation

Wald method of CI estimation

Coverage Probability using 6 base methods

Coverage Probability of Adjusted Likelihood method for given n

Coverage Probability of Adjusted Logit Wald method for given n

Coverage Probability of Adjusted Wald-T method for given n

Coverage Probability of Adjusted Wald method for given n

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

Expected length and sum of length of Adjusted ArcSine method

Performs expected length and sum of length of Adjusted Score method

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

The empirical Bayesian approach for Beta-Binomial model

The empirical Bayesian approach for Beta-Binomial model given x

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

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

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

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

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

Coverage Probability of Bayesian method

Coverage Probability of Wald-T method

Coverage Probability of Wald method

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

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

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

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 continuity corrected Logit Wald method

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

Expected length and sum of length of Bayesian method

Expected Length summary of continuity corrected ArcSine 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 Logit Wald method

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

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

The Predicted probability - Bayesian approach

The Predicted probability - Bayesian approach

Calculates the sum of lengths for a specific LL and UL

Expected length and sum of length of likelihood Ratio method

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

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

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

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

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

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

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

Expected length and sum of length of ArcSine method

Performs expected length and sum of length of Adjusted Wald method

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

Expected Length summary of continuity corrected Wald method

Expected length and sum of length of Exact method

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

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

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

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