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Finite Feedback Cycling in Structural Equation Models

机译：结构方程模型中的有限反馈循环

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In models containing reciprocal effects, or longer causal loops, the usual effect estimates assume that any effect touching a loop initiates an infinite cycling of effects around that loop. The real world, in contrast, might permit only finite feedback cycles. I use a simple hypothetical model to demonstrate that if the world permits only a few effect cycles, many coefficient estimates are substantially biased. If the world permits additional partial-cycle use in addition to full cyclings around the causal loop, some of the effect estimates are proper, and a full set of proper effect estimates can be recovered by hand calculations involving the model total effects. If the world permits no additional partial-cycle use, it might not be possible to recover proper estimates from the usual output.rnIt is not the equations representing the causal model, but rather the calculations of the covariance implications of the model, that change with limited cycling possibilities. Unfortunately, the features required to permit direct estimation of limited-cycle effects are not under user control in common structural equation programs, so estimation and detailed investigation of models with finite cycling of effects around feedback loops awaits new programming. To obtain unbiased estimates with limited causal cyclings, the researcher must continue to strive to specify the proper effect locations but must also attend to the number of full and partial causal cyclings permitted by the world. Determining the appropriate number of cycles is not a matter to be delegated to a statistician; it is something the researcher must attend to as a matter of substantive theory, methodology, and model interpretation.
机译：在包含互惠效应或更长时间的因果循环的模型中，通常的效应估计假定任何接触循环的效应都会在该循环周围启动无限循环的效应。相反，现实世界可能只允许有限的反馈周期。我使用一个简单的假设模型来证明，如果世界只允许几个影响周期，那么许多系数估计就会有很大偏差。如果世界上除了因果循环周围的完整循环之外还允许更多的局部循环使用，那么一些效果估计是正确的，并且可以通过涉及模型总效果的人工计算来恢复整套适当的效果估计。如果世界不允许额外的部分循环使用，则可能无法从通常的输出中恢复正确的估计值。rn并不是因果关系方程式代表了因果关系模型的协方差计算，而是因果关系模型的协方差计算随骑自行车的可能性有限。不幸的是，在普通的结构方程式程序中，允许直接估计有限周期影响所需的功能不在用户的控制之下，因此对具有有限循环影响的反馈回路进行模型的估计和详细研究等待新的编程。为了在因果循环有限的情况下获得无偏估计，研究人员必须继续努力确定适当的效应位置，而且还必须考虑世界允许的全部和部分因果循环的次数。确定适当的周期数并不是要委托统计学家考虑的问题；研究人员必须在实质性理论，方法论和模型解释方面进行研究。

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  • 来源
    《Structural equation modeling》 |2009年第4期|658-675|共18页
  • 作者

    Leslie A. Hayduk;

  • 作者单位

    Department of Sociology, University of Alberta, Edmonton Alberta, Canada T6G 2H4;

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