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多项式回归与一致性研究:应用及分析 被引量:28

On the Use of Polynomial Regression in Congruence Research: Application and Analysis
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摘要 本文介绍了多项式回归的分析方法,讨论并验证了它相比传统的差异分数分析法在检验一致性假设中的优势。针对目前该方法在国内应用方面的缺失状况,本文从分析基准、理论推导、分析步骤和假设检验等方面完善了多项式回归与响应面分析相结合的应用分析框架。最后,本文以个人-组织价值观一致性对员工情感性变革承诺的影响研究为例,对分析框架的具体应用进行了说明。结果表明,被传统差异分数很好支持的一致性效应并不一定完美,新的分析框架能够揭示更多的有用信息并给管理实践带来更具体而准确的引导。 For decades, the study of congruence in organizational research has relied on difference scores, which induces numerous methodological problems in presenting congruence, such as covered relations, reduced reliability and validity. Unfortunately, this method is still used dominantly in domestic researches due to few available alternatives. The method of polynomial regression is introduced in this research to directly test relationships among two component measures of difference scores and dependent variables, and also the advantages of polynomial regression over difference scores in expressing congruence are discussed and verified. Then, from the aspects of foundation points, theoretical derivations, analytical procedures and hypothesis tests, the framework of polynomial regression equations coupling with response surface analysis for congruence researches are modified. Three key features of surface are concerned for analysis. The first is stationary point, which corresponds to the overall minimum, maximum, or saddle point of the surface. The second is principal axes of the surface, two of which intersect at the stationary point. The upward or downward curvature of surface, depending on the shape of surface (convex or concave), is greatest along one of the principal axes and least along the other. The third feature is the slope of the surface along two principle axes, Y = X and Y = -X lines. Formulas expressing these key features can be derived from coefficients of polynomial regression equations, based on which, this general framework clarifies how coefficients from equations can be used to comprehensively describe surface and test hypotheses. Moreover, the framework permits researchers to evaluate complicated congruence conceptual models rigorously. Finally, as an illustration, how the person-organization value congruence affects persons' affective commitment to change in four dimensions are examed, which specifies the characters of surfaces and puts forward theoretical implications. This paper deliberat
出处 《心理学报》 CSSCI CSCD 北大核心 2011年第12期1454-1461,共8页 Acta Psychologica Sinica
关键词 多项式回归 一致性 响应面分析 差异分数 polynomial regression congruence response surface analysis difference scores
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