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In the UK, US and elsewhere, school accountability systems increasingly compare schools using value-added measures of school performance derived from pupil scores in high-stakes standardised tests. Rather than naively comparing school…

Applications · Statistics 2018-11-26 George Leckie , Harvey Goldstein

In this chapter, we review the class of causal effects based on incremental propensity scores interventions proposed by Kennedy [2019]. The aim of incremental propensity score interventions is to estimate the effect of increasing or…

Methodology · Statistics 2021-10-22 Matteo Bonvini , Alec McClean , Zach Branson , Edward H. Kennedy

Propensity scores are commonly used to reduce the confounding bias in non-randomized observational studies for estimating the average treatment effect. An important assumption underlying this approach is that all confounders that are…

Methodology · Statistics 2022-08-02 Youfei Yu , Jiacong Du , Min Zhang , Zhenke Wu , Andrew M. Ryan , Bhramar Mukherjee

Anecdotally, using an estimated propensity score is superior to the true propensity score in estimating the average treatment effect based on observational data. However, this claim comes with several qualifications: it holds only if…

Methodology · Statistics 2023-04-03 Fangzhou Su , Wenlong Mou , Peng Ding , Martin J. Wainwright

We address the problem of correcting group discriminations within a score function, while minimizing the individual error. Each group is described by a probability density function on the set of profiles. We first solve the problem…

Artificial Intelligence · Computer Science 2018-06-11 El Mahdi El Mhamdi , Rachid Guerraoui , Lê Nguyên Hoang , Alexandre Maurer

Randomized A/B tests within online learning platforms represent an exciting direction in learning sciences. With minimal assumptions, they allow causal effect estimation without confounding bias and exact statistical inference even in small…

Methodology · Statistics 2023-06-13 Adam C. Sales , Ethan B. Prihar , Johann A. Gagnon-Bartsch , Neil T. Heffernan

Subclassification estimators are one of the methods used to estimate causal effects of interest using the propensity score. This method is more stable compared to other weighting methods, such as inverse probability weighting estimators, in…

Methodology · Statistics 2024-10-22 Shunichiro Orihara , Tomotaka Momozaki

A key condition for obtaining reliable estimates of the causal effect of a treatment is overlap (a.k.a. positivity): the distributions of the features used to perform causal adjustment cannot be too different in the treated and control…

Methodology · Statistics 2021-04-14 Alexander D'Amour , Alexander Franks

Educators must make decisions about learner expectations and skills on which to focus when it comes to laboratory activities. There are various approaches but the general pattern is to encourage students to measure ordered pairs, plot a…

Physics Education · Physics 2023-03-30 Kevin L. Haglin

Many important problems in psychology and biomedical studies require testing for overdispersion, correlation and heterogeneity in mixed effects and latent variable models, and score tests are particularly useful for this purpose. But the…

Statistics Theory · Mathematics 2007-06-13 Hongtu Zhu , Heping Zhang

A straightforward application of semi-supervised machine learning to the problem of treatment effect estimation would be to consider data as "unlabeled" if treatment assignment and covariates are observed but outcomes are unobserved.…

Methodology · Statistics 2020-09-15 Andrew Herren , P. Richard Hahn

Despite empirical risk minimization (ERM) is widely applied in the machine learning community, its performance is limited on data with spurious correlation or subpopulation that is introduced by hidden attributes. Existing literature…

Machine Learning · Computer Science 2024-12-18 Hongyu Shen , Zhizhen Zhao

The present paper discusses the problem of estimating the finite population mean of study variable in simple random sampling in the presence of non response and response error together. The estimators in this article use auxiliary…

Methodology · Statistics 2014-04-08 Prayas Sharma , Rajesh Singh

Propensity score methods were proposed by Rosenbaum and Rubin [Biometrika 70 (1983) 41--55] as central tools to help assess the causal effects of interventions. Since their introduction more than two decades ago, they have found wide…

Statistics Theory · Mathematics 2007-06-13 Donald B. Rubin , Richard P. Waterman

When examining a contrast between two interventions, longitudinal causal inference studies frequently encounter positivity violations when one or both regimes are impossible to observe for some subjects. Existing weighting methods either…

Methodology · Statistics 2025-08-11 Alec McClean , Iván Díaz

In experimental design and causal inference, it may happen that the treatment is not defined on individual experimental units, but rather on pairs or, more generally, on groups of units. For example, teachers may choose pairs of students…

Statistics Theory · Mathematics 2018-01-24 Panos Toulis , Alexander Volfovsky , Edoardo M. Airoldi

Nonprobability (convenience) samples are increasingly sought to stabilize estimations for one or more population variables of interest that are performed using a randomized survey (reference) sample by increasing the effective sample size.…

Propensity score methods are common for estimating a binary treatment effect when treatment assignment is not randomized. When exposure is measured on an ordinal scale (i.e., low - medium - high), however, propensity score inference…

Methodology · Statistics 2014-12-02 Michael Lopez , Roee Gutman

We introduce a new discrepancy score between two distributions that gives an indication on their similarity. While much research has been done to determine if two samples come from exactly the same distribution, much less research…

Machine Learning · Computer Science 2012-10-16 Maayan Harel , Shie Mannor

Unintended bias in Machine Learning can manifest as systemic differences in performance for different demographic groups, potentially compounding existing challenges to fairness in society at large. In this paper, we introduce a suite of…

Machine Learning · Computer Science 2019-05-09 Daniel Borkan , Lucas Dixon , Jeffrey Sorensen , Nithum Thain , Lucy Vasserman