Basic Functions in Knowledge Space Theory Using Matrix Representation

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Documentation for package ‘kstMatrix’ version 2.0-0

• DESCRIPTION file.
• User guides, package vignettes and other documentation.

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Assessment	Perform a probabilistic knowledge assessment
cad	Knowledge spaces on AutoCAD knowledge
fractions	Knowledge spaces on fractions
kmassess	Perform a probabilistic knowledge assessment
kmassessbayesian	Update probability distribution applying Bayesian update
kmassesshalfsplit	Determine next question for probabilistic knowledge assessment
kmassessinformative	Determine next question for probabilistic knowledge assessment
kmassessmentsimulation	Simulate assessments for a set of response patterns
kmassessmultiplicative	Update probability distribution applying multiplicative rule
kmbasis	Generic 'kmbasis()' function
kmbasis.kmsurmiserelation	Determine the basis of a knowledge space from a surmise relation
kmbasis.matrix	Compute the basis of a knowledge space
kmcolors	Determine a color vector based on probabilities
kmdist	Compute the distance between a data set and a knowledge structure
kmdoubleequal	Test two double numbers on equity with a certain tolerance
kmeqreduction	Reduce a family of knowledge states with respect to item equivalence
kmfamset	Convert a binary matrix to a 'kmfamset' object (family of sets)
kmfringe	Compute the fringe of a state within a knowledge structure
kmgenerate	Generate a knowledge structure from a set of response patterns
kmiita2SR	Convert an IITA result into a surmise relation matrix
kmiswellgraded	Check for wellgradedness of a knowledge structure
kmmaximalspace	Create trivial knowledge spaces
kmminimalspace	Create trivial knowledge spaces
kmneighbourhood	Compute the neighbourhod of a state within a knowledge structure
kmnneighbourhood	Compute the n-neighbourhod of a state within a knowledge structure
kmnotions	Determine the notions of a knowledge structure
kmnotions2	Determine the notions of a knowledge structure
kmsassess	Perform a probabilistic knowledge assessment
kmsetdistance	Compute the symmetric set difference between two sets
kmsf2basis	Derive a basis from a surmise function
kmsimulate	Simulate a set of response patterns according to the BLIM
kmspace	Convert a binary matrix to a 'kmspace' object
kmSR2basis	Determine the basis of a knowledge space from a surmise relation
kmSRvalidate	Validate a surmise relation against a data set
kmstructure	Convert a binary matrix to a 'kmstructure' object
kmsurmisefunction	Compute the surmise function for a knowledge space or basis
kmsurmiserelation	Compute the surmise relation of a quasi-ordinal knowledge space
kmsymmsetdiff	Compute the symmetric set difference between two sets
kmtrivial	Create trivial knowledge spaces
kmunionclosure	Close a family of sets under union
kmvalidate	Validate a knowledge structure against a data set
plot	Plot a Hasse diagram
plot.kmfamset	Plot a Hasse diagram
plot.kmsurmiserelation	Plot a Hasse diagram
readwrite	Knowledge spaces on reading and writing abilities
xpl	Small example knowledge space