ind_gen function

Inductive Generation Procedure

ind_gen generates inductively a set of competing quasi orders.

ind_gen(b)

Arguments

• b: a required matrix of the numbers of counterexamples for all pairs of items, for instance obtained from a call to ob_counter.

Returns

If the argument b is of required type, ind_gen returns a list of the inductively generated quasi orders.

References

Sargin, A. and Uenlue, A. (2009) Inductive item tree analysis: Corrections, improvements, and comparisons. Mathematical Social Sciences, 58 , 376--392.

Schrepp, M. (1999) On the empirical construction of implications between bi-valued test items. Mathematical Social Sciences, 38 , 361--375.

Schrepp, M. (2003) A method for the analysis of hierarchical dependencies between items of a questionnaire. Methods of Psychological Research, 19 , 43--79.

Uenlue, A. and Sargin, A. (2010) DAKS: An package for data analysis methods in knowledge space theory. Journal of Statistical Software, 37 (2), 1--31. URL http://www.jstatsoft.org/v37/i02/.

Author(s)

Anatol Sargin, Ali Uenlue

Note

The function iita calls ind_gen for constructing the set of competing quasi orders according to the inductive generation procedure.

The set of competing quasi orders is a list of objects of the class set. These objects (quasi orders) consist of $2$-tuples $(i, j)$ of the class tuple, where a $2$-tuple $(i, j)$ is interpreted as `mastering item $j$ implies mastering item $i$.'

See Also

ob_counter for computation of numbers of counterexamples; iita, the interface that provides the three inductive item tree analysis methods under one umbrella; z_test for one- and two-sample Z-tests. See also DAKS-package for general information about this package.

Examples

ob <- ob_counter(pisa)
ind_gen(ob)