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```
#' Calculate the precision, CV, and accuracy of frequency estimates
#'
#' \code{freq_eval()} will evaluated how well \code{\link{freq_estimate}} performed
#' by calculating the precision and CV of the frequency estimates for the top
#' clones and by determining the proportion of the top clones whose true clonal
#' frequency lies in the 95-percent CI determined by \code{\link{freq_estimate}}
#'
#' @param freq The output of \code{\link{freq_estimate}}
#' @param number_skewed The number of clones represent the top proportion of
#' the T cell population by frequency (this is the same \code{number_skewed}
#' argument used when \code{\link{create_clones}} is called)
#' @param TCR The clonal structure of the simulated T cell population. This is
#' obtained by subsetting the \code{TCR} element of the output of
#' \code{\link{create_clones}}
#' @param numb_clones Total number of distinct clones in the parent population
#' @param prop_top The proportion of the population in frequency represented by
#' the number of clones specified by \code{skewed}.
#'
#' @return A list with the precision, cv, and accuracy of the frequency estimation.
#' @export
freq_eval <- function(freq, number_skewed, TCR, numb_clones, prop_top) {
numb_clones <- nrow(TCR)
last_term <- (1 - prop_top)/(numb_clones - number_skewed) * 1.1
lhs11 <- 1
lhs12 <- number_skewed - 1
lhs21 <- (1 + number_skewed - 1)
lhs22 <- (number_skewed - 1)/2 + (number_skewed - 1)^2/2
A <- matrix(c(lhs11, lhs21, lhs12, lhs22), nrow = 2)
b <- matrix(c(last_term, prop_top), nrow = 2)
solveAb <- solve(A,b)
prob1 <- solveAb[1] + 0:(number_skewed-1) * solveAb[2]
prob2 <- rep((1 - prop_top)/(numb_clones - number_skewed), numb_clones - number_skewed)
dist_vector <- c(prob1, prob2)
TCR <- cbind(TCR, dist_vector)
top_clones <- TCR[1:(number_skewed), ]
correct_top <- vector()
for (i in 1:nrow(freq)) {
ind_beta <- freq[i, "beta1"]
ind_alph1 <- freq[i, "alpha1"]
ind_alph2 <- freq[i, "alpha2"]
if (ind_alph1 == ind_alph2) {
if (any(top_clones[, 1] == ind_beta &
(top_clones[, 3] == ind_alph1 | top_clones[, 4] == ind_alph1)))
correct_top <- c(correct_top, i)
} else {
if (any(top_clones[, 1] == ind_beta &
((top_clones[, 3] == ind_alph1 & top_clones[, 4] == ind_alph2) |
(top_clones[, 3] == ind_alph2 & top_clones[, 4] == ind_alph1))
)
)
correct_top <- c(correct_top, i)
}
}
freq <- freq[correct_top,, drop = FALSE ]
if (nrow(freq) != 0) {
freq$answer <- 0
freq$correct <- 0
} else {
freq <- as.data.frame(matrix(nrow = 0, ncol = 11))
names(freq) <- c("beta1", "beta2", "alpha1", "alpha2", "MLE",
"CI_up", "CI_low", "CI_length", "pct_replicates", "answer",
"correct")
}
for (i in seq_len(nrow(freq))) {
ind_beta <- freq[i, "beta1"]
ind_alph1 <- freq[i, "alpha1"]
ind_alph2 <- freq[i, "alpha2"]
if (!is.na(freq[i, "MLE"])) { #check to see if freq was estimatable at all
if (ind_alph1 == ind_alph2) {
ind <- which(top_clones[, 1] == ind_beta &
(top_clones[, 3] == ind_alph1 | top_clones[, 4] == ind_alph1))
freq[i, "answer"] <- TCR[ind[1], 4] #in situation where two dual clones have the same beta and alph1 but diff alph2s
if (TCR[ind, 5] <= freq[i, "CI_up"] & TCR[ind, 5] >= freq[i, "CI_low"]) {
freq[i, "correct"] <- 1
}
} else {
ind <- which(top_clones[, 1] == ind_beta &
((top_clones[, 3] == ind_alph1 & top_clones[, 4] == ind_alph2) |
(top_clones[, 3] == ind_alph2 & top_clones[, 4] == ind_alph1)))
ind <- ind[1]
if (TCR[ind, 5] <= freq[i, "CI_up"] & TCR[ind, 5] >= freq[i, "CI_low"]) {
freq[i, "correct"] <- 1
freq[i, "answer"] <- TCR[ind, 5]
}
} # end if else - dual or not
} # end if - check if estimatable
} # end for - i
# for CRAN checks
correct <- CI_length <- MLE <- NULL
# final processing
numb_top <- nrow(freq)
freq <- dplyr::mutate(
dplyr::filter(freq, correct == 1),
precision = CI_length/MLE, CV = CI_length/MLE/3.92
)
if (nrow(freq) == 0) {
list(precision = NA, cv = NA, correct = 0)
} else {
list(precision = mean(freq$precision), cv = mean(freq$CV), correct = sum(freq$correct)/numb_top)
}
}
```

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