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Sequential Confirmatory Factor Analysis: A Novel Approach to Latent Variable Measurement
Zachary Esses Johnson
https://arxiv.org/abs/2508.15611 https://arx…

Sequential Confirmatory Factor Analysis: A Novel Approach to Latent Variable Measurement
Factor score estimation in small sample sizes often encounters parameter bias and convergence failures when constructing hierarchical national/sub-national indices. This paper proposes a novel method for hierarchical factor analysis called "sequential Confirmatory Factor Analysis". Instead of estimating multiple levels of factors at the same time, this approach calculates factor scores sequentially from the lowest to highest levels. This sequential estimation keeps the original sample size in e…