Three-Way and Higher-Order Nested Classifications

Hardeo Sahai and Mario Miguel Ojeda
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Hardeo Sahai: Universidad Central del Caribe, Center for Addiction Studies School of Medicine
Mario Miguel Ojeda: Universidad Veracruzana, Económico Administrativa

Chapter 7 in Analysis of Variance for Random Models, 2004, pp 333-381 from Springer

Abstract: Abstract In the preceding chapter, we considered a random effects model involving a two-way nested classification. Examples of three and higher-order nested classifications occur frequently in many industrial experiments where raw material is first broken up into batches and then into subbatches, subsubbatches, and so forth. For example, in an experiment designed to identify various sources of variability in tensile strength measurements, one may randomly select a lots of raw material, b boxes are taken from each lot, c sample preparations are made from the material in each box, and finally n tensile strength tests are performed for each preparation. These factors often present themselves in a hierarchical manner and are appropriately specified as random effects. In this chapter, we consider a random effects model involving a three-way nested classification and indicate its generalization to higher-order nested classifications.

Keywords: Variance Component; Random Effect Model; Computing Software; Negative Estimate; Exact Confidence Interval (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8168-5_7

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DOI: 10.1007/978-0-8176-8168-5_7

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