fwd_bck_graded: Forward- or Backward-Gradedness of a Knowledge Structure

In pks: Probabilistic Knowledge Structures

Forward- or Backward-Gradedness of a Knowledge Structure

Description

Checks if a knowledge structure is forward- or backward-graded in any item.

Usage

is.forward.graded(K)

is.backward.graded(K)

Arguments

K	a state-by-problem indicator matrix representing the knowledge structure. An element is one if the problem is contained in the state, and else zero. K should have non-empty colnames.

Details

A knowledge structure K is forward-graded in item q, if S \cup \{q\} is in K for every state S \in K.

A knowledge structure K is backward-graded in item q, if S - \{q\} is in K for every state S \in K.

See Spoto, Stefanutti, and Vidotto (2012).

Value

A named logical vector with as many elements as columns in K.

References

Spoto, A., Stefanutti, L., & Vidotto, G. (2012). On the unidentifiability of a certain class of skill multi map based probabilistic knowledge structures. Journal of Mathematical Psychology, 56(4), 248–255. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1016/j.jmp.2012.05.001")}

See Also

blim, jacobian.

Examples

K <- as.binmat(c("0000", "1000", "1100", "1010", "0110", "1110", "1111"))
is.forward.graded(K)   # forward-graded in a
is.backward.graded(K)  # not backward-graded in a

pks documentation built on May 5, 2023, 3:08 p.m.