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Modeling Outcomes With Floor or Ceiling Effects: An Introduction to the Tobit Model

2010/09/10 by Matthew T. McBee, Matthew McBee · 1 citation
Social Sciences · #Gender, Labor, and Family Dynamics #Intergenerational and Educational Inequality Studies #School Choice and Performance

paper · doi:10.1177/0016986210379095

crossref issued 2010/09/10 · crossref published 2010/09/10 · crossref published-online 2010/09/10 · openalex publication_date 2010/09/10 · crossref created 2010/09/10 · crossref published-print 2010/10/01 · openalex created_date 2025/10/10 · crossref deposited 2026/04/29 · crossref indexed 2026/08/01 · openalex updated_date 2026/08/01

Abstract

In gifted education research, it is common for outcome variables to exhibit strong floor or ceiling effects due to insufficient range of measurement of many instruments when used with gifted populations. Common statistical methods (e.g., analysis of variance, linear regression) produce biased estimates when such effects are present. In practice, it is frequent for researchers to ignore ceiling effects and proceed with traditional analysis. However, the problems caused by ceiling effects are not without possible solutions. This Methodological Brief describes a variation of multiple regression, called the Tobit model, which is capable of correct inference when floor or ceiling effects are present. A brief simulation study illustrates the performance of the Tobit model with a dataset exhibiting a ceiling effect.

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