Minimizing Examinee Collusion with a Latin- Square Treatment Structure
نویسنده
چکیده
Cheating on standardized tests has been a major concern as it potentially minimizes measurement precision. One major way to reduce cheating by collusion is to administer multiple forms of a test. Even with this approach, potential collusion is still quite large. A Latin-square treatment structure for distributing multiple forms is proposed to further reduce the colluding potential. An index to measure the extent of colluding potential is also proposed. Finally, with a simple algorithm, the various Latin-squares were explored to find the best structure to keep the colluding potential to a minimum. Keywords—Colluding pairs, Scale for Colluding Potential, Latin-Square Structure, Minimization of Cheating.
منابع مشابه
The set of autotopisms of partial Latin squares
Symmetries of a partial Latin square are primarily determined by its autotopism group. Analogously to the case of Latin squares, given an isotopism Θ, the cardinality of the set PLSΘ of partial Latin squares which are invariant under Θ only depends on the conjugacy class of the latter, or, equivalently, on its cycle structure. In the current paper, the cycle structures of the set of autotopisms...
متن کاملStatistical Approaches in Analysis of Variance: from Random Arrangements to Latin Square Experimental Design
Background: The choices of experimental design as well as of statistical analysis are of huge importance in field experiments. These are necessary to be correctly in order to obtain the best possible precision of the results. The random arrangements, randomized blocks and Latin square designs were reviewed and analyzed from the statistical perspective of error analysis. Material and Method: Ran...
متن کاملHow to Eliminate Collusion in Tenders and Auctions, using Game Theory (Determination of Ceiling and Floor Prices)
Governments and firms in accordance to their duties, obliged to inevitably contracts with Individuals and legal entities, especially in auction and tender process. Since, the law of conducting tenders and auctions is lacking efficiency and has major objection, therefore, this has led to the dissemination and development of areas of corruption in these contracts (through collusion). In this pape...
متن کاملLifting Redundancy from Latin Squares to Pandiagonal Latin Squares
In the pandiagonal Latin Square problem, a square grid of size N needs to be filled with N types of objects, so that each column, row, and wrapped around diagonal (both up and down) contains an object of each type. This problem dates back to at least Euler. In its specification as a constraint satisfaction problem, one uses the all different constraint. The known redundancy result about all dif...
متن کاملOn strongly controllable group codes and mixing group shifts: solvable groups, translation nets, and algorithms
The branch group of a strongly controllable group code is a shift group. We show that a shift group can be characterized in a very simple way. In addition it is shown that if a strongly controllable group code is labeled with Latin squares, then the shift group is solvable. Moreover the mathematical structure of a Latin square (as a translation net) and of a shift group are shown to be closely ...
متن کامل