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

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Description

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

Usage

1
hypotestBAF1x(x, n, th0, a1, b1)

Arguments

x

- Number of success

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 not equal to p0 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.

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: hypotestBAF1, hypotestBAF2x, hypotestBAF2, hypotestBAF3x, hypotestBAF3, hypotestBAF4x, hypotestBAF4, hypotestBAF5x, hypotestBAF5, hypotestBAF6x, hypotestBAF6

Examples

1
2
x=682; n=925; th0=0.75; a1=3; b1=3
hypotestBAF1x(x,n,th0,a1,b1)

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