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Active Matrix Factorization for Surveys

2019/02/20 by Chelsea Zhang, Zhang, Chelsea, Sean J. Taylor +5
Computer Science · #Applications (stat.AP) #Expert finding and Q&A systems #FOS: Computer and information sciences #Machine Learning and Algorithms #Methodology (stat.ME) #Mobile Crowdsensing and Crowdsourcing

paper · pdf · doi:10.48550/arxiv.1902.07634

openalex publication_date 2019/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Amid historically low response rates, survey researchers seek ways to reduce respondent burden while measuring desired concepts with precision. We propose to ask fewer questions of respondents and impute missing responses via probabilistic matrix factorization. A variance-minimizing active learning criterion chooses the most informative questions per respondent. In simulations of our matrix sampling procedure on real-world surveys, as well as a Facebook survey experiment, we find active question selection achieves efficiency gains over baselines. The reduction in imputation error is heterogeneous across questions, and depends on the latent concepts they capture. The imputation procedure can benefit from incorporating respondent side information, modeling responses as ordered logit rather than Gaussian, and accounting for order effects. With our method, survey researchers obtain principled suggestions of questions to retain and, if desired, can automate the design of shorter instruments.

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