#' @rdname model_functions
#' @description \code{model_radar_gun} estimates short sprint parameters using time-velocity trace,
#' with additional parameter \code{TC} serving as intercept
#' @export
#' @examples
#'
#' # Model Radar Gun (includes Time Correction)
#' df <- create_sprint_trace(MSS = 8, MAC = 6, time = seq(0, 6, 0.1))
#'
#' # Add some noise
#' df$velocity <- df$velocity + rnorm(n = nrow(df), 0, 10^-2)
#'
#' m1 <- model_radar_gun(time = df$time, velocity = df$velocity)
#' m1
#' plot(m1)
#'
model_radar_gun <- function(time,
velocity,
weights = 1,
CV = NULL,
use_observed_MSS = FALSE,
na.rm = FALSE,
...) {
# Estimation function
model_func <- function(train, test, use_observed_MSS, ...) {
param_start <- list(MSS = 7, MAC = 7, TC = 0)
param_lower <- c(MSS = 0, MAC = 0, TC = -Inf)
param_upper <- c(MSS = Inf, MAC = Inf, TC = Inf)
if (use_observed_MSS == TRUE) {
observed_MSS <- max(train$velocity)
param_start <- list(MSS = observed_MSS, MAC = 7, TC = 0)
param_lower <- c(MSS = observed_MSS, MAC = 0, TC = -Inf)
param_upper <- c(MSS = observed_MSS, MAC = Inf, TC = Inf)
}
# Non-linear model
model <- minpack.lm::nlsLM(
velocity ~ predict_velocity_at_time(time - TC, MSS, MAC),
data = train,
start = param_start,
lower = param_lower,
upper = param_upper,
weights = train$weight,
...
)
# Parameters
MSS <- stats::coef(model)[["MSS"]]
MAC <- stats::coef(model)[["MAC"]]
TAU <- MSS / MAC
PMAX <- (MSS * MAC) / 4
# Correction
TC <- stats::coef(model)[["TC"]]
# Model fit
pred_velocity <- stats::predict(model, newdata = data.frame(time = test$time))
resid_velocity <- test$velocity - pred_velocity
return(list(
data = train,
model_info = list(
predictor = "time",
target = "velocity",
use_observed_MSS = use_observed_MSS
),
model = model,
parameters = list(
MSS = MSS,
MAC = MAC,
TAU = TAU,
PMAX = PMAX
),
corrections = list(
TC = TC
),
predictions = list(
.predictor = test$time,
.observed = test$velocity,
.predicted = pred_velocity,
.residual = resid_velocity
)
))
}
model_sprint(
df = data.frame(
time = time,
velocity = velocity,
weight = weights
),
use_observed_MSS = use_observed_MSS,
CV = CV,
na.rm = na.rm,
model_func = model_func,
...
)
}
#' @rdname model_functions
#' @description \code{model_laser_gun} alias for \code{\link{model_radar_gun}}
#' @export
#' @examples
#'
#' # Model Laser Gun (includes Time Correction)
#' df <- create_sprint_trace(MSS = 8, MAC = 6, time = seq(0, 6, 0.1))
#'
#' # Add some noise
#' df$velocity <- df$velocity + rnorm(n = nrow(df), 0, 10^-2)
#'
#' m1 <- model_laser_gun(time = df$time, velocity = df$velocity)
#' m1
#' plot(m1)
#'
model_laser_gun <- model_radar_gun
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