Academic Journal

Essential properties of Type III* methods.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Essential properties of Type III* methods.
Συγγραφείς: LaMotte, Lynn R.1 (AUTHOR) lrlamo@icloud.com
Πηγή: Communications in Statistics: Theory & Methods. 2025, Vol. 54 Issue 15, p4942-4952. 11p.
Θεματικοί όροι: *Regression analysis, *Analysis of variance, Dummy variables, Cell size, Sample size (Statistics)
Περίληψη: Type III methods, introduced by SAS in 1976, formulate estimable functions that substitute, somehow, for classical ANOVA effects in multiple linear regression models. They have been controversial since, provoking wide use and satisfied users on the one hand and skepticism and scorn on the other. Their essential mathematical properties have not been established, although some are widely thought to be known. Those include, for example, what those functions are, to what extent they coincide with classical ANOVA effects, and how they are affected by cell sample sizes and empty cells. Those properties are established here. [ABSTRACT FROM AUTHOR]
Copyright of Communications in Statistics: Theory & Methods is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Essential properties of Type III* methods.
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  Data: *<searchLink fieldCode="DE" term="%22Regression+analysis%22">Regression analysis</searchLink><br />*<searchLink fieldCode="DE" term="%22Analysis+of+variance%22">Analysis of variance</searchLink><br /><searchLink fieldCode="DE" term="%22Dummy+variables%22">Dummy variables</searchLink><br /><searchLink fieldCode="DE" term="%22Cell+size%22">Cell size</searchLink><br /><searchLink fieldCode="DE" term="%22Sample+size+%28Statistics%29%22">Sample size (Statistics)</searchLink>
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  Data: Type III methods, introduced by SAS in 1976, formulate estimable functions that substitute, somehow, for classical ANOVA effects in multiple linear regression models. They have been controversial since, provoking wide use and satisfied users on the one hand and skepticism and scorn on the other. Their essential mathematical properties have not been established, although some are widely thought to be known. Those include, for example, what those functions are, to what extent they coincide with classical ANOVA effects, and how they are affected by cell sample sizes and empty cells. Those properties are established here. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Communications in Statistics: Theory & Methods is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1080/03610926.2024.2434555
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      – Code: eng
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        Type: general
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        Type: general
      – SubjectFull: Dummy variables
        Type: general
      – SubjectFull: Cell size
        Type: general
      – SubjectFull: Sample size (Statistics)
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      – TitleFull: Essential properties of Type III* methods.
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              Text: 2025
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              Y: 2025
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