A Basic Test Theory Generalizable to Tailored Testing.
Abstract
Measures of consistency and completeness of order relations derived from test-type data are proposed. The measures are generalized to apply to incomplete data such as tailored testing. The measures are based on consideration of the item-plus-persons by items-plus-persons matrix as an adjacency matrix in which a 1 means that the row element dominated the column element regardless of whether it is item or person which dominates. From this the number of item-item and person-person dominance relations can be derived. Indices of consistency are developed which compare the number of dominance relations in a matrix to the number that would occur if it were perfectly consistent and to the number in a random matrix. The indices of consistency are shown to relate to test variance, the Kuder-Richardson formulas, and Loevinger's homogeneity indices. Indices of completeness are also proposed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 22, 1975
- Accession Number
- ADA017209
Entities
People
- Norman Cliff
Organizations
- University of Southern California