biodosetools (version 3.7.2)

get_deltamethod_std_err: Get standard errors using delta method

Description

Delta method for approximating the standard error of a transformation \(g(X)\) of a random variable \(X = (x1, x2, ...)\), given estimates of the mean and covariance matrix of \(X\).

Usage

get_deltamethod_std_err(
  fit_is_lq,
  variable = c("dose", "fraction_partial", "fraction_hetero"),
  mean_estimate,
  cov_estimate,
  protracted_g_value = NA,
  d0 = NA
)

Value

Numeric value containing the standard error of the dose estimate.

Arguments

fit_is_lq

Whether the fit is linear quadratic (TRUE) or linear (FALSE).

variable

Variable resulting of the transformation \(g(X)\).

mean_estimate

The estimated mean of \(X\).

cov_estimate

The estimated covariance matrix of \(X\).

protracted_g_value

Protracted \(G(x)\) value.

d0

Survival coefficient of irradiated cells.