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From Mean To Quantiles: Rethinking Individual Differences In Mathematics Achievement And Mathematics Self-Efficacy, Jing Yuan
Theses and Dissertations--Educational, School, and Counseling Psychology
The significance of this dissertation research is twofold with both methodological advancement and empirical update. In this dissertation research, quantile regression (QR) was introduced to social sciences researchers as a response to the weaknesses of the traditional mean-based regression often referred to as multiple regression. General advantages of QR includes being more flexible for modeling data with heterogeneous conditional distributions, more robust to outliers, and having richer characterization and description of the data. Results of QR allow researchers to not only describe a general trend of changes in the effects of the independent variables across a continuous distribution of the …