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Curriculum analytics (CA) studies curriculum structure and student data to ensure the quality of educational programs. An essential aspect is studying course properties, which involves assigning each course a representative difficulty…

计算机与社会 · 计算机科学 2025-08-20 Frederik Baucks , Robin Schmucker , Laurenz Wiskott

Principal Component Analysis (PCA) is a highly useful topic within an introductory Linear Algebra course, especially since it can be used to incorporate a number of applied projects. This method represents an essential application and…

历史与综述 · 数学 2016-04-19 Stephen Pankavich , Rebecca Swanson

Principal component analysis (PCA) is often used for analyzing data in the most diverse areas. In this work, we report an integrated approach to several theoretical and practical aspects of PCA. We start by providing, in an intuitive and…

计算工程、金融与科学 · 计算机科学 2021-06-09 Felipe L. Gewers , Gustavo R. Ferreira , Henrique F. de Arruda , Filipi N. Silva , Cesar H. Comin , Diego R. Amancio , Luciano da F. Costa

The ability to categorize problems is a measure of expertise in a domain. In order to help students learn effectively, instructors and teaching assistants (TAs) should have pedagogical content knowledge. They must be aware of the prior…

物理教育 · 物理学 2016-03-10 Chandralekha Singh

Instilling good laboratory working attitudes in students is a difficult but very important task, especially in the first level courses. The introduction of a grade, based on the observation of work practices during laboratory sessions, can…

物理教育 · 物理学 2015-03-26 G. L. Lippi

Teaching assistants (TAs) are often responsible for grading in introductory physics courses at large research universities. Their grading practices can shape students' approaches to problem solving and learning. Physics education research…

物理教育 · 物理学 2021-02-16 Emily Marshman , Ryan Sayer , Charles Henderson , Edit Yerushalmi , Chandralekha Singh

At the crossway of machine learning and data analysis, anomaly detection aims at identifying observations that exhibit abnormal behaviour. Be it measurement errors, disease development, severe weather, production quality default(s) (items)…

统计方法学 · 统计学 2025-06-06 Romain Valla , Pavlo Mozharovskyi , Florence d'Alché-Buc

We introduce the Prediction Advantage (PA), a novel performance measure for prediction functions under any loss function (e.g., classification or regression). The PA is defined as the performance advantage relative to the Bayesian risk…

机器学习 · 计算机科学 2017-05-30 Ran El-Yaniv , Yonatan Geifman , Yair Wiener

Explication and reflection on expert vs. novice considerations within the problem-solving process characterize a cognitive apprenticeship approach for the development of expert-like problem solving practices. In the context of grading, a…

物理教育 · 物理学 2017-01-06 Edit Yerushalmi , Ryan Sayer , Emily Marshman , Charles Henderson , Chandralekha Singh

Principal component analysis (PCA) is a mainstay of modern data analysis - a black box that is widely used but (sometimes) poorly understood. The goal of this paper is to dispel the magic behind this black box. This manuscript focuses on…

机器学习 · 计算机科学 2014-04-07 Jonathon Shlens

Peer review is the primary means of quality control in academia; as an outcome of a peer review process, program and area chairs make acceptance decisions for each paper based on the review reports and scores they received. Quality of…

计算与语言 · 计算机科学 2022-05-30 Nils Dycke , Edwin Simpson , Ilia Kuznetsov , Iryna Gurevych

Grading can shape students' learning and encourage use of effective problem solving practices. Teaching assistants (TAs) are often responsible for grading student solutions and providing feedback, thus, their perceptions of grading may…

Dimensional analysis is a simple qualitative method for determining essential connections between physical quantities. It is applicable to a multitude of physics problems, many of which canbe introduced early on in a university physics…

物理教育 · 物理学 2016-11-26 Michaela Reichelova , Aba Teleki

In fields such as ecology, microbiology, and genomics, non-Euclidean distances are widely applied to describe pairwise dissimilarity between samples. Given these pairwise distances, principal coordinates analysis (PCoA) is commonly used to…

定量方法 · 定量生物学 2020-03-24 Yushu Shi , Liangliang Zhang , Kim-Anh Do , Christine Peterson , Robert Jenq

Analysis of variance (ANOVA) is an extremely important method in exploratory and confirmatory data analysis. Unfortunately, in complex problems (e.g., split-plot designs), it is not always easy to set up an appropriate ANOVA. We propose a…

统计理论 · 数学 2007-06-13 Andrew Gelman

The ideas of aleatoric and epistemic uncertainty are widely used to reason about the probabilistic predictions of machine-learning models. We identify incoherence in existing discussions of these ideas and suggest this stems from the…

Introductory algebra-based physics courses frequently feature multiple student major populations in the same course section, however, different majors' requirements may impact students' motivations towards different aspects of the course…

物理教育 · 物理学 2016-02-25 Andrew Mason

Sensitivity analysis (SA) has much to offer for a very large class of applications, such as model selection, calibration, optimization, quality assurance and many others. Sensitivity analysis offers crucial contextual information regarding…

Oral exams were common historically across academia, though their popularity has recently fallen. Many argue against them as an assessment technique because they are vulnerable to bias and subjectivity, difficult to administer, and…

物理教育 · 物理学 2025-09-15 Brian DiGiorgio Zanger

Principal component analysis (PCA) is a widely used dimension reduction tool in the analysis of many kind of high-dimensional data. It is used in signal processing, mechanical engineering, psychometrics, and other fields under different…

统计方法学 · 统计学 2014-01-15 Ngoc Mai Tran , Maria Osipenko , Wolfgang Karl Haerdle
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