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#' Calculate transition periods between two timeperiods
#' @export transitions
# a represents timeperiod0 and b represents timeperiod1
# Function works with CADF. CADF labels buy as "Y" nobuy as "N" so these values are hardcoded
# works on 2 period transitions only
#' @param timeperiod0 Column representing the 'from' side of the transition probability
#' @param timeperiod1 Column representing the 'to' side of the transition probability
#' @param buyvar field value that represents a buy, defaults to Y
#' @param nobuyvar field value that represents not buy, defaults to N
#' @returns 2 x 2 transaction matrix
#' @examples
#' timeperiod0 <- c("Y", "Y", "Y", "Y", "Y")
#' timeperiod1 <- c("N", "Y", "N", "Y", "N")
#' transitions(timeperiod0, timeperiod1)
transitions <- function(timeperiod0 , timeperiod1, buyvar = "Y", nobuyvar = "N") {
r <- matrix(nrow = 2, ncol=2)
#buy -> buy
r[1,1] <- sum(timeperiod0 == buyvar & timeperiod1 == buyvar, na.rm=T) / length(timeperiod0)
#buy -> no buy
r[1,2] <- sum(timeperiod0 == buyvar & timeperiod1 == nobuyvar, na.rm=T) / length(timeperiod0)
#no buy -> buy (reactivated)
r[2,1] <- sum(timeperiod0 == nobuyvar & timeperiod1 == buyvar, na.rm=T) / length(timeperiod0)
#no buy -> no buy
r[2,2] <- sum(timeperiod0 == nobuyvar & timeperiod1 == nobuyvar, na.rm=T) / length(timeperiod0)
return(r)
}
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