jacobian {mixtox}

Jacobian Matrix Calculation

Description

calculating the Jacobian matrix for confidence intervals

Usage

jacobian(eq, x, paraHat)

Arguments

eq

equation

x

numeric vector of experimental concentrations

paraHat

fitted parameters

Details

Jacobian matrix is the matrix of all first-order partial derivatives of a vector-valued function.

Value

jac

Jacobian matrix.

References

https://en.wikipedia.org/wiki/Jacobian_matrix_and_determinant

Examples

## example 1
x <- cytotox$Ni$x
rspn <- cytotox$Ni$y
obj <- curveFit(x, rspn, eq = 'Logit', param = c(12, 3), effv = c(0.05, 0.5), rtype = 'quantal')
jacobian('Logit', x, obj$p)