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Meta-Heuristics in Short Scale Construction: Ant Colony Optimization and Genetic Algorithm

机译:短尺度构建中的元启发式:蚁群优化和遗传算法

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摘要

The advent of large-scale assessment, but also the more frequent use of longitudinal and multivariate approaches to measurement in psychological, educational, and sociological research, caused an increased demand for psychometrically sound short scales. Shortening scales economizes on valuable administration time, but might result in inadequate measures because reducing an item set could: a) change the internal structure of the measure, b) result in poorer reliability and measurement precision, c) deliver measures that cannot effectively discriminate between persons on the intended ability spectrum, and d) reduce test-criterion relations. Different approaches to abbreviate measures fare differently with respect to the above-mentioned problems. Therefore, we compare the quality and efficiency of three item selection strategies to derive short scales from an existing long version: a Stepwise COnfirmatory Factor Analytical approach (SCOFA) that maximizes factor loadings and two metaheuristics, specifically an Ant Colony Optimization (ACO) with a tailored user-defined optimization function and a Genetic Algorithm (GA) with an unspecific cost-reduction function. SCOFA compiled short versions were highly reliable, but had poor validity. In contrast, both metaheuristics outperformed SCOFA and produced efficient and psychometrically sound short versions (unidimensional, reliable, sensitive, and valid). We discuss under which circumstances ACO and GA produce equivalent results and provide recommendations for conditions in which it is advisable to use a metaheuristic with an unspecific out-of-the-box optimization function.
机译:大规模评估的出现,以及在心理,教育和社会学研究中更频繁使用纵向和多元测量方法,导致对心理上合理的小量表的需求增加。缩减规模可以节省宝贵的管理时间,但可能会导致措施不足,因为减少项目集可能会:a)改变措施的内部结构,b)导致可靠性和测量精度较差,c)交付无法有效区分的措施预期能力范围内的人员,并且d)减少测试标准关系。关于上述问题,不同的缩写措施方法有不同的表现。因此,我们比较了三种项目选择策略的质量和效率,以从现有的较长版本中得出短尺度:逐步确定因子分析方法(SCOFA),该方法最大化了因子负荷,并采用了两种元启发式方法,特别是蚁群优化(ACO)与量身定制的用户定义的优化功能,以及具有特定成本降低功能的遗传算法(GA)。 SCOFA编写的简短版本具有很高的可靠性,但有效性较差。相比之下,两种启发式方法都优于SCOFA,并产生了有效且在心理上听起来合理的简短版本(一维,可靠,敏感和有效)。我们讨论了在哪种情况下ACO和GA会产生同等的结果,并针对在哪些情况下建议使用具有非特定的即用型优化功能的元启发式方法提供建议。

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