Usage
fn_lin_pl_lin(t, t1, t2, t3, k, beta)
Arguments
- t
Numeric. The time value.
- t1
Numeric. The lower threshold time. Default is 45.
- t2
Numeric. The upper threshold time before plateau. Default is 80.
- t3
Numeric. The lower threshold time after plateau. Default is 45.
- k
Numeric. The maximum value of the function. Default is 0.9.
- beta
Numeric. Slope of the linear decay.
Value
A numeric value based on the linear plateau linear model.
Details
$$
f(t; t_1, t_2, t_3, k, \beta) =
\begin{cases}
0 & \text{if } t < t_1 \\
\dfrac{k}{t_2 - t_1} \cdot (t - t_1) & \text{if } t_1 \leq t \leq t_2 \\
k & \text{if } t_2 \leq t \leq t_3 \\
k + \beta \cdot (t - t_3) & \text{if } t > t_3
\end{cases}
$$
Examples
library(flexFitR)
plot_fn(
fn = "fn_lin_pl_lin",
params = c(t1 = 38.7, t2 = 62, t3 = 90, k = 0.32, beta = -0.01),
interval = c(0, 108),
n_points = 2000,
auc_label_size = 3
)