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Journal ArticleDOI

Regression to the Mean in Average Test Scores

Gary Smith, +1 more
- 01 Nov 2005 - 
- Vol. 10, Iss: 4, pp 377-399
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TLDR
In this article, regression to the mean in group averages is used to evaluate a group's average test score over time in order to evaluate different educational approaches, curricula, teachers, and schools.
Abstract
A group's average test score is often used to evaluate different educational approaches, curricula, teachers, and schools. Studies of group test scores over time often try to measure "value-added" by holding constant certain student characteristics such as race, parents' education, or socioeconomic status; however, the important statistical phenomenon of regression to the mean is often ignored. There is a substantial literature on the importance of regression to the mean in a variety of contexts, including individual test scores. Here, we look at regression to the mean in group averages. If this regression is not taken into account, changes in a group's average test score over time may be misinterpreted as changes in the group's average ability rather than natural and expected fluctuations in scores about ability. California Academic Performance Index scores are used to illustrate this argument.

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Citations
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Factors contributing to changes in a deep approach to learning in different learning environments

TL;DR: This paper explored factors explaining changes in a deep approach to learning and found that individual factors such as investing time and effort in studying regularly during courses, the goals set for the courses, study skills and skills in regulating one's own learning most clearly explained the changes in one's deep approach, while students' experiences of the teaching-learning environment and how they perceived the quality of teaching provided no clear explanation of the changes.
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Book Review: Handbook in Research and Evaluation (3rd ed.)

TL;DR: The lack of peer and editorial review on the Internet combined with the inadequacy of current search mechanisms (e.g., Ambre et al., 1998; Lawrence & Giles, 1998; Staff, 1998) is a minor criticism as mentioned in this paper.
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Regression toward the mean – a detection method for unknown population mean based on Mee and Chua's algorithm

TL;DR: This method can be used to separate the wheat from the chaff in situations, when one has to interpret the results of uncontrolled studies and may be helpful to clarify the evidence given from uncontrolled observational studies.
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The Production of and Market for New Physicians’ Skill

TL;DR: Initial skill (as measured by performance in a physician's first year of practice) explains more of the variation in physician performance over time than experience does, and the trajectories of new physicians’ delivery volume develop in a way consistent with Bayesian learning about physician quality.
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Examination of quantitative methods for analyzing data from concept inventories

TL;DR: In this article, student learning gains through an equity lens depend on the type of equity embedded in the research questions and the types of questions they were asked, and their answers were used.
References
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Book

Statistical Theories of Mental Test Scores

TL;DR: In this paper, the authors present a survey of test theory models and their application in the field of mental test analysis. But the focus of the survey is on test-score theories and models, and not the practical applications and limitations of each model studied.
Journal ArticleDOI

On the psychology of prediction

TL;DR: In this article, the authors explore the rules that determine intuitive predictions and judgments of confidence and contrast these rules to the normative principles of statistical prediction and show that people do not appear to follow the calculus of chance or the statistical theory of prediction.
Book

Introduction to econometrics

Henri Theil
Book

Introduction to Econometrics

G. S. Maddala
TL;DR: In this article, the authors discuss diagnostic checking, model selection, and specification testing for Econometrics, including Diagnostic Checking, Model Selection, and Specification Testing, as well as a discussion of nonlinear regression, models of expectations, and nonnormality errors in Variables.
Journal ArticleDOI

Reforms as experiments

TL;DR: Campbell as mentioned in this paper befast sich mit den Grunden dafur and versucht Wege aufzuzeigen, wie dies geandert werden konnte.
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