hypotestBAF2: Bayesain Hypothesis testing : Hypothesis 2: Theta = Theta0 Vs...

View source: R/631.BayesFactors.R

hypotestBAF2R Documentation

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

Description

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

Usage

hypotestBAF2(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(), hypotestBAF3x(), hypotestBAF3(), hypotestBAF4x(), hypotestBAF4(), hypotestBAF5x(), hypotestBAF5(), hypotestBAF6x(), hypotestBAF6()

Examples

n=10; th0=0.1; a1=1; b1=1
hypotestBAF2(n,th0,a1,b1)

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