hypotestBAF5: Bayesain Hypothesis testing : Hypothesis 5: Theta >= Theta0...

In RajeswaranV/proportion: Inference on Single Binomial Proportion and Bayesian Computations

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

Description

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

Usage

hypotestBAF5(n, th0, a0, b0, a1, b1)

Arguments

n	- Number of trials from data
th0	- Hypothetical parameter for H0
a0	- Priors for hypothesis H0
b0	- Priors for hypothesis 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(), hypotestBAF3(), hypotestBAF4x(), hypotestBAF4(), hypotestBAF5x(), hypotestBAF6x(), hypotestBAF6()

Examples

n=10; th0=0.1; a0=0.5; b0= 0.5;a1=1; b1=1
hypotestBAF5(n,th0,a0,b0,a1,b1)

RajeswaranV/proportion documentation built on June 17, 2022, 9:11 a.m.