gradedness {pks} | R Documentation |
Checks if a knowledge structure is forward- or backward-graded in any item.
is.forward.graded(K) is.backward.graded(K)
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. |
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).
A named logical vector with as many elements as columns in K
.
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, 248–255. doi: 10.1016/j.jmp.2012.05.001
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