calcDerivative2: Calculate second derivative

Description

An S4 generic and its methods to calculate the second derivative of the probability function.

Usage

calcDerivative2(object, theta)
# S4 method for item_1PL,numeric
calcDerivative2(object, theta)
# S4 method for item_2PL,numeric
calcDerivative2(object, theta)
# S4 method for item_3PL,numeric
calcDerivative2(object, theta)
# S4 method for item_PC,numeric
calcDerivative2(object, theta)
# S4 method for item_GPC,numeric
calcDerivative2(object, theta)
# S4 method for item_GR,numeric
calcDerivative2(object, theta)
# S4 method for item_pool,numeric
calcDerivative2(object, theta)
# S4 method for pool_cluster,numeric
calcDerivative2(object, theta)

Arguments

object

An instance of an item class.

theta

A vector of theta values.

Value

Second derivative values.

References

rasch_probabilistic_1960TestDesign

lord_theory_1952TestDesign

birnbaum_efficient_1957TestDesign

birnbaum_estimation_1958TestDesign

birnbaum_further_1958TestDesign

birnbaum_latent_1968TestDesign

masters_rasch_1982TestDesign

andrich_rating_1978TestDesign

muraki_generalized_1992TestDesign

samejima_estimation_1969TestDesign

Examples

Run this code

# NOT RUN {
item_1    <- new("item_1PL", difficulty = 0.5)
dd_item_1 <- calcDerivative2(item_1, seq(-3, 3, 1))
item_2    <- new("item_2PL", slope = 1.0, difficulty = 0.5)
dd_item_2 <- calcDerivative2(item_2, seq(-3, 3, 1))
item_3    <- new("item_3PL", slope = 1.0, difficulty = 0.5, guessing = 0.2)
dd_item_3 <- calcDerivative2(item_3, seq(-3, 3, 1))
item_4    <- new("item_PC", threshold = c(-1, 0, 1), ncat = 4)
dd_item_4 <- calcDerivative2(item_4, seq(-3, 3, 1))
item_5    <- new("item_GPC", slope = 1.2, threshold = c(-0.8, -1.0, 0.5), ncat = 4)
dd_item_5 <- calcDerivative2(item_5, seq(-3, 3, 1))
item_6    <- new("item_GR", slope = 0.9, category = c(-1, 0, 1), ncat = 4)
dd_item_6 <- calcDerivative2(item_6, seq(-3, 3, 1))
dd_itempool <- calcDerivative2(itempool_science, seq(-3, 3, 1))
# }