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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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Understanding Hierarchical Linear Models
Nursing Research, 2007Nurses practice within hierarchical organizations and occupational structures. Hence, data emanating from nursing environments are structured, often inherently, hierarchically. From the perspective of ordinary regression, such structuring constitutes a statistical problem because this violates the assumption that we have observed independent and ...
Adeniyi J, Adewale +5 more
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Hierarchical Linear Models for Multiregional Clinical Trials
Statistics in Biopharmaceutical Research, 2020Data observed in multiregional clinical trials are structurally hierarchical in the sense that the patient population consists of several regions and patients are nested within their own regions.
Saemina Kim, Seung-Ho Kang
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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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The Geometry of Categorical and Hierarchical Concepts in Large Language Models
International Conference on Learning RepresentationsThe linear representation hypothesis is the informal idea that semantic concepts are encoded as linear directions in the representation spaces of large language models (LLMs).
Kiho Park +3 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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