Efficient Matrix Sampling Instruments for Correlated Latent Traits: Examples from the National Assessment of Educational Progress

• Published in: Journal of the American Statistical Association Vol. 92; no. 438; pp. 416 - 425
• Main Authors: Zeger, Linda M., Thomas, Neal
• Format: Journal Article
• Language: English
• Published: Alexandria, VA Taylor & Francis Group 01.06.1997; American Statistical Association; Taylor & Francis Ltd
• Subjects: Academic achievement; Achievement tests; Applications and Case Studies; Approximation; Design efficiency; Education; Efficiency metrics; Efficient design; Error rates; Estimators; Estimators for the mean; Exact sciences and technology; Experimental design; Item response models; Item sampling; Mathematics; Matrix; Maximum likelihood estimation; Measurement error; Modeling; NAEP; Nonparametric inference; Polls & surveys; Probability and statistics; Sampling; Sampling theory, sample surveys; Sciences and techniques of general use; Statistical discrepancies; Statistical methods; Statistics; Survey design; Matrix design; Balanced design; Samplings; Efficient sampling; Response model; Statistical estimation; Maximum likelihood; Sample survey; Matrix sampling; Measurement error

We study the efficiency of administering different subsets of a large collection of items in a sample survey to different people to estimate the distribution of several correlated traits. The designs are motivated by examples from the National Assessment of Educational Progress, an ongoing survey of...