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Multicollinearity in hierarchical linear models
Social Science Research, 2015This study investigates an ill-posed problem (multicollinearity) in Hierarchical Linear Models from both the data and the model perspectives. We propose an intuitive, effective approach to diagnosing the presence of multicollinearity and its remedies in this class of models.
Han, Yu, Shanhe, Jiang, Kenneth C, Land
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Advances in Developing Human Resources, 2014
The Problem While nested structures occur naturally in organizational and educational settings, past research has failed to recognize these nested structures. Ordinary least squares (OLS) methods assume independence of observation, fixing the intercepts and slopes across all groups. By not accounting for nested structures, errors of inference can occur
Alastair H. Leyland +1 more
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The Problem While nested structures occur naturally in organizational and educational settings, past research has failed to recognize these nested structures. Ordinary least squares (OLS) methods assume independence of observation, fixing the intercepts and slopes across all groups. By not accounting for nested structures, errors of inference can occur
Alastair H. Leyland +1 more
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Hierarchical modeling using generalized linear models
Quality and Reliability Engineering International, 2011In a complex manufacturing environment, there are hundreds of interrelated processes that form a complex hierarchy. This is especially true of semiconductor manufacturing. In such an environment, modeling and understanding the impact of critical process parameters on final performance measures such as defectivity is a challenging task.
Naveen Kumar +2 more
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Hierarchical Decomposition in Linear Economic Models
Management Science, 1975In decomposed linear programming models it is generally not possible to decentralize by prices alone. The Dantzig-Wolfe procedure, for instance, delegates weights on basic solutions in addition to the equilibrium prices. In this paper we present a decomposition procedure for linear models where we in addition to prices delegate a hierarchical ordering.
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Hierarchical linear modeling: An overview
Child Abuse & Neglect, 2007Maria M, Ciarleglio, Robert W, Makuch
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Fitting Linear Hierarchical Models
2011We now shift to the analysis of hierarchical data using mixed-effects models. These models are a natural match for many problems that occur commonly in natural resources. A number of the tools that we discuss in this chapter are extensively documented in Pinheiro and Bates (2000), and our goal is to complement that resource, not replace it. Although we
Andrew P. Robinson, Jeff D. Hamann
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Explaining Hierarchical Multi-linear Models
2019We are interested in the explanation of the solution to a hierarchical multi-criteria decision aiding problem. We extend a previous approach in which the explanation amounts to identifying the most influential criteria in a decision. This is based on an influence index which extends the Shapley value on trees. The contribution of this paper is twofold.
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