hypotestBAF6x: Bayesain Hypothesis testing given x: Hypothesis 6: Theta <...
In proportion: Inference on Single Binomial Proportion and Bayesian Computations

Description Usage Arguments Details Value References See Also Examples

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

1	hypotestBAF6x(x, n, th1, a1, b1, th2, a2, b2)

`x`	- Number of success
`n`	- Number of trials from data
`th1`	- Hypothetical parameter for H1
`a1`	- Priors for hypothesis H1
`b1`	- Priors for hypothesis H1
`th2`	- Hypothetical parameter for H2
`a2`	- Priors for hypothesis H2
`b2`	- Priors for hypothesis H2

Computes Bayes factor under Beta-Binomial model for the model: p < p1 Vs p > p2 from the given number of trials n and and for given 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.

A dataframe with

`x`	Number of successes
`BaFa01`	Bayesian Factor

[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

Other Hypothesis testing: hypotestBAF1x, hypotestBAF1, hypotestBAF2x, hypotestBAF2, hypotestBAF3x, hypotestBAF3, hypotestBAF4x, hypotestBAF4, hypotestBAF5x, hypotestBAF5, hypotestBAF6