#' Beta Point Bayes Factor
#
#' @param n1 Number of values for variable 1
#' @param n2 Number of values for variable 2
#' @param ptH0 (Optional) Point estimate for the null hypothesis (default is 0.5)
#' @param a0 (Optional) Shape parameter alpha for the prior beta distribution (default is 1)
#' @param b0 (Optional) Shape parameter beta for the prior beta distribution (default is 1)
#' @return \item{H0_point}{Value of the point null hypothesis -- either the default of 0.5 or the value specified by user}
#' @return \item{Direction}{Statement describing the numerator and denominator of Bayes Factor estimate}
#' @return \item{BF}{Bayes Factor estimate}
Beta_pointBayesfactor<-function(n1,n2,ptH0=.5,a0=1,b0=1){
if ((a0<=0)|(b0<=0)){
a0=1
b0=1} else {}
if ((ptH0>1)|(ptH0<0)){
ptH0=.5}
if ((n1<0)|(n2<0)){
stop("Error. Both n1 and n2 must be nonnegative; please redo")} else
{
a=n1+a0
b=n2+b0
dpriorH0=dbeta(ptH0,a0,b0)
dpostH0=dbeta(ptH0,a,b)
if (dpriorH0>=dpostH0){
Direction<-"Bayes factor is for alternative over null"
if(dpostH0==0){print("BF10 approaches infinity")} else
{BF<-dpriorH0/dpostH0
}} else {
Direction<-"Bayes factor is for null over alternative"
BF<-dpostH0/dpriorH0
}
}
list(H0_point=H0,
Direction=Direction,
BF=BF)
}
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