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Integrating Developmental Theory and Methodology: Using Derivatives to Articulate Change Theories, Models, and Inferences.

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Title: Integrating Developmental Theory and Methodology: Using Derivatives to Articulate Change Theories, Models, and Inferences.
Authors: Deboeck, Pascal R. (AUTHOR), Nicholson, Jody (AUTHOR), Kouros, Chrystyna (AUTHOR), Little, Todd D. (AUTHOR), Garber, Judy (AUTHOR)
Source: Applied Developmental Science. Oct-Dec2015, Vol. 19 Issue 4, p217-231. 15p. 1 Diagram, 6 Charts, 3 Graphs.
Subjects: Developmental psychology, Articulation (Speech), Theory of change, Inference (Logic), Statistics
Abstract: Matching theories about growth, development, and change to appropriate statistical models can present a challenge, which can result in misuse, misinterpretation, and underutilization of different analytical approaches. We discuss the use ofderivatives: the change of a construct with respect to the change in another construct. Derivatives provide a common language linking developmental theory and statistical methods. Conceptualizing change in terms of derivatives allows precise translation of theory into method and highlights commonly overlooked models of change. A wide variety of models can be understood in terms of the level, velocity, and acceleration of constructs: the zeroth, first, and second derivatives, respectively. We introduce the language of derivatives, and highlight the conceptually differing questions that can be addressed in developmental studies. A substantive example is presented to demonstrate how common and unfamiliar statistical methodology can be understood as addressing relations between differing pairs of derivatives. [ABSTRACT FROM AUTHOR]
Copyright of Applied Developmental Science 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.)
Database: Psychology and Behavioral Sciences Collection
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  Data: Integrating Developmental Theory and Methodology: Using Derivatives to Articulate Change Theories, Models, and Inferences.
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  Data: <searchLink fieldCode="AR" term="%22Deboeck%2C+Pascal+R%2E%22">Deboeck, Pascal R.</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Nicholson%2C+Jody%22">Nicholson, Jody</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kouros%2C+Chrystyna%22">Kouros, Chrystyna</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Little%2C+Todd+D%2E%22">Little, Todd D.</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Garber%2C+Judy%22">Garber, Judy</searchLink> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Applied+Developmental+Science%22">Applied Developmental Science</searchLink>. Oct-Dec2015, Vol. 19 Issue 4, p217-231. 15p. 1 Diagram, 6 Charts, 3 Graphs.
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  Data: <searchLink fieldCode="DE" term="%22Developmental+psychology%22">Developmental psychology</searchLink><br /><searchLink fieldCode="DE" term="%22Articulation+%28Speech%29%22">Articulation (Speech)</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+change%22">Theory of change</searchLink><br /><searchLink fieldCode="DE" term="%22Inference+%28Logic%29%22">Inference (Logic)</searchLink><br /><searchLink fieldCode="DE" term="%22Statistics%22">Statistics</searchLink>
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  Data: Matching theories about growth, development, and change to appropriate statistical models can present a challenge, which can result in misuse, misinterpretation, and underutilization of different analytical approaches. We discuss the use ofderivatives: the change of a construct with respect to the change in another construct. Derivatives provide a common language linking developmental theory and statistical methods. Conceptualizing change in terms of derivatives allows precise translation of theory into method and highlights commonly overlooked models of change. A wide variety of models can be understood in terms of the level, velocity, and acceleration of constructs: the zeroth, first, and second derivatives, respectively. We introduce the language of derivatives, and highlight the conceptually differing questions that can be addressed in developmental studies. A substantive example is presented to demonstrate how common and unfamiliar statistical methodology can be understood as addressing relations between differing pairs of derivatives. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Applied Developmental Science 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: 10.1080/10888691.2015.1021924
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        Text: English
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      – SubjectFull: Statistics
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              Text: Oct-Dec2015
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