Confidence Intervals Based on Rounded Data from the Balanced One-Way Normal Random Effects Model
| Autor: | Stephen B. Vardeman, Chiang-Sheng Lee |
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| Rok vydání: | 2003 |
| Předmět: | |
| Zdroj: | Communications in Statistics - Simulation and Computation. 32:835-856 |
| ISSN: | 1532-4141 0361-0918 |
| Popis: | In standard statistical analyses, data are assumed to be essentially exact. But indeed they are often obtained from a relatively crude gaging method and are thus intrinsically “rounded” to some nearest unit. The discussions in Lee and Vardeman (Lee, Chiang-Sheng, Vardeman, Stephen B. (2001). Interval estimation of a normal process mean from rounded data. Journal of Quality Technology 33:335–348.) and Lee and Vardeman (Lee, Chiang-Sheng, Vardeman, Stephen B. (2002). Interval estimation of a normal process standard deviation from rounded data. Communications in Statistics 31:13–34.) for a rounded sample from a single normal distribution established that nominal confidence levels of standard intervals for μ and σ are much larger than actual coverage probabilities when the rounding is severe. In this article we consider interval estimation in the balanced normal one-way random effects model. We demonstrate the deficiency of standard interval estimators in the presence of rounding and show how likelih... |
| Databáze: | OpenAIRE |
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