Description Usage Arguments Details Value References See Also Examples

View source: R/632.BayesFactors_x.R

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

1 | ```
hypotestBAF3x(x, n, th0, a1, b1)
``` |

`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 |

Computes Bayes factor under Beta-Binomial model for the
model: *p = p0* Vs *p < 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.

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`

, `hypotestBAF3`

,
`hypotestBAF4x`

, `hypotestBAF4`

,
`hypotestBAF5x`

, `hypotestBAF5`

,
`hypotestBAF6x`

, `hypotestBAF6`

1 2 | ```
x=682; n=925; th0=0.75; a1=3; b1=3
hypotestBAF3x(x,n,th0,a1,b1)
``` |

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