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From missing data to informative GPA predictions: Navigating selection process beliefs with the partial
Eduardo Alarcón-Bustamante1,2,3,4, Jorge González3,4,5, David Torres Irribarra1,3,4
1Escuela de Psicología, Pontificia Universidad Católica de Chile, Santiago de Chile, Chile.
Predicting college GPA from admissions test scores is challenging due to missing data for non-selected applicants. This study uses partial identifiability theory with milder assumptions to improve regression analysis for admissions data.
Area of Science:
- Educational Measurement
- Statistics
- Higher Education
Background:
- Predictive validity studies commonly use regression analysis to assess college admissions test scores' ability to forecast college GPA.
- A key challenge is the missing data problem: test scores are available for all applicants, but GPAs are only observed for admitted students.
Purpose of the Study:
- To present an alternative approach to handling missing data in predictive validity studies of college admissions.
- To explore how results vary based on assumptions made about the selection process.
Main Methods:
- Utilized the theory of partial identifiability to address missing data in regression analyses.
- Applied milder assumptions compared to standard methods that require strong assumptions for data identification.
Main Results:
- Demonstrated that results from regression analyses can significantly differ based on the assumptions employed regarding the admissions selection process.
- Showcased the application of the partial identifiability approach using a university admissions dataset.
Conclusions:
- The theory of partial identifiability offers a flexible framework for analyzing predictive validity in college admissions under various assumption sets.
- Emphasizes the importance of carefully considering and stating assumptions when evaluating the predictive power of admissions tests.
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