# hypotestBAF3: Bayesain Hypothesis testing : Hypothesis 3: Theta = Theta0 Vs... In proportion: Inference on Single Binomial Proportion and Bayesian Computations

## Description

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

## Usage

 1 hypotestBAF3(n, th0, a1, b1)

## Arguments

 n - Number of trials from data th0 - Hypothetical parameter for H0 a1 - Priors for hypothesis H1 b1 - Priors for hypothesis H1

## Details

Computes Bayes factor under Beta-Binomial model for the model: p = p0 Vs p < p0 from the given number of trials n and for all number of successes x = 0, 1, 2......n We use the following guideline for reporting the results:

• 1/3 <= BaFa01 < 1: Evidence against H0 is not worth more than a bare mention.

• 1/20 <= BaFa01 < 1/3: Evidence against H0 is positive.

• 1/150 <= BaFa01 < 1/20: Evidence against H0 is strong.

• BaFa10 < 1/150: Evidence against H0 is very strong.

• 1 <= BaFa01 < 3: Evidence against H1 is not worth more than a bare mention.

• 3 <= BaFa01 < 20: Evidence against H1 is positive.

• 20 <= BaFa01 < 150: Evidence against H1 is strong.

• 150 <= BaFa01: Evidence against H1 is very strong.

## Value

A dataframe with

 x Number of successes BaFa01 Bayesian Factor

## References

[1] 2006 Ghosh M, Delampady M and Samanta T. An introduction to Bayesian analysis: Theory and Methods. Springer, New York

[2] 2014 Sakthivel S, Subbiah M and Ramakrishnan R Default prior approach for Bayesian testing of hypotheses involving single binomial proportion International Journal of Statistics and Analysis, 4 (2), 139 - 153

## See Also

Other Hypothesis testing: hypotestBAF1x, hypotestBAF1, hypotestBAF2x, hypotestBAF2, hypotestBAF3x, hypotestBAF4x, hypotestBAF4, hypotestBAF5x, hypotestBAF5, hypotestBAF6x, hypotestBAF6

## Examples

 1 2 n=10; th0=0.1; a1=1; b1=1 hypotestBAF3(n,th0,a1,b1)

proportion documentation built on May 1, 2019, 7:54 p.m.