#' @title Creates Statistical Upper Bounds to give a measure of TTSC
#'
#' @describe This package creates a upper bound to know when milk is safe for human consumption
#'
#' @param data alpha delta mrl y_variable time_variable
#'
#' @return NULL
#'
#' @examples conf_upper(data = pred_table, alpha = 0.05, mrl = log(0.04))
#'
#' @export conf_upper
conf_upper <- function(data = data, alpha = 0.05, y_variable = 6, time_variable = 3, mrl = log(0.04), cows = 25, amount = 8){
TTSC <- c()
TTSC_new <- c()
conf <- c()
MRL <- data.frame(predictions_subset = mrl) #Dataframe for mrl value
t <- sqrt(1/cows)*qt((1-alpha), cows-1)
for (i in 1:amount){
subset <- data[seq(i, nrow(data), cows), ]
pred <- subset$Pred
mean <- mean(pred)
sd <- sd(pred)
TTSC_new[i] <- mean + t*sd
exp_TTSC_new <- exp(TTSC_new)
}
print(TTSC_new)
print(exp_TTSC_new)
pdf("Plots for each cow with confidence interval instead.pdf")
for(i in 1:cows){
subset <- data[(1 + (i-1)*(amount)):(amount + (i-1)*(amount)),] #Subsetting for each cow
y <- as.matrix(subset[,y_variable])
time <- as.matrix(subset[,time_variable])
plot(y ~ time, xlab = 'Time', ylab = "Level") #Creating a plot for each cow actual value
predictions_subset <- TTSC_new
x_axis <- as.numeric(as.matrix(data[1:amount,time_variable]))
points(x_axis, TTSC_new, type = 'l') #Creating line for each cows predicted values
abline(h = mrl) #Adding line for mrl value
model <- lm(x_axis ~ predictions_subset) #Finding out when the predicted upperbounds reach the mrl value
}
dev.off()
model <- lm(x_axis ~ predictions_subset) #Finding out when the predicted upperbounds reach the mrl value
TTSC <- predict(model,newdata = MRL)
TTSC <- as.numeric(TTSC)
print(paste('TTSC for alpha value:',alpha, 'is:', sep = ' '))
print(TTSC)
}
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