probPRE: The Predicted probability - Bayesian approach
In proportion: Inference on Single Binomial Proportion and Bayesian Computations

Description Usage Arguments Details Value References See Also Examples

The Predicted probability - Bayesian approach

1	probPRE(n, m, a1, a2)

`n`	- Number of trials from data
`m`	- Future :Number of trials
`a1`	- Beta Prior Parameters for Bayesian estimation
`a2`	- Beta Prior Parameters for Bayesian estimation

Computes posterior predictive probabilities for the required size of number of trials m from the given number of trials n for the given parameters for Beta prior distribution

A matrix of probability values between [0,1]

`predicted_probability`	- The predicted probability
`0:n`	The number of columns based on the value of n

[1] 2002 Gelman A, Carlin JB, Stern HS and Dunson DB Bayesian Data Analysis, Chapman & Hall/CRC

Other Miscellaneous functions for Bayesian method: empericalBAx, empericalBA, probPOSx, probPOS, probPREx

1 2	n=10; m=5; a1=0.5; a2=0.5 probPRE(n,m,a1,a2)

     xnew            0            1          2          3          4          5
[1,]    0 0.8199027535 0.5371776661 0.33822297 0.20293378 0.11470170 0.06008185
[2,]    1 0.1413625437 0.2984320367 0.33822297 0.30881228 0.24578937 0.17392113
[3,]    2 0.0314138986 0.1193728147 0.20587485 0.26469624 0.28459821 0.26599702
[4,]    3 0.0062827797 0.0363308566 0.08823208 0.15324519 0.21763393 0.26599702
[5,]    4 0.0009560752 0.0077851836 0.02554087 0.05859375 0.10881696 0.17392113
[6,]    5 0.0000819493 0.0009014423 0.00390625 0.01171875 0.02845982 0.06008185
              6          7          8            9           10
[1,] 0.02845982 0.01171875 0.00390625 0.0009014423 0.0000819493
[2,] 0.10881696 0.05859375 0.02554087 0.0077851836 0.0009560752
[3,] 0.21763393 0.15324519 0.08823208 0.0363308566 0.0062827797
[4,] 0.28459821 0.26469624 0.20587485 0.1193728147 0.0314138986
[5,] 0.24578937 0.30881228 0.33822297 0.2984320367 0.1413625437
[6,] 0.11470170 0.20293378 0.33822297 0.5371776661 0.8199027535