Efficient Approximation of Confidence Intervals for Optimal Responses and Its Applications to Process Improvement
Date Issued
2004
Date
2004
Author(s)
Cheng, Chia-Hui
DOI
en-US
Abstract
尋找最佳的參數設定值一直是工程師或實驗者關心的議題。對一個二次反應曲面模式而言，其目的是決定穩定點 (stationary point) 的位置、反應值，以及本質為何(最大值、最小值或馬鞍點)。但在抽樣變異的影響下，穩定點探究的品質是需要被考慮的。若穩定點反應值之信賴區間能夠準確地被估計，將有助於估計品質優劣的評斷。Carter, Chinchilli, Campbell and Wampler (1984) 和Carter, Chinchilli, Myers and Campbell (1986) 分別提出了計算未受限和受限的最佳反應值信賴區間的估計，其信心水準至少在100(1-
Moving the operating conditions toward the optimum is always a critical issue for engineers or experimenters. For an empirical second-order response surface model, the objective is to determine the location, response and nature of the stationary point. However, the quality of the stationary point exploration may be in question under sampling variability. It will be therefore helpful if the confidence interval of the stationary-point response can be accurately estimated. Carter, Chinchilli, Campbell and Wampler (1984) and Carter, Chinchilli, Myers and Campbell (1986) have respectively described procedures for computing the conservative 100(1-
Subjects
最佳反應值
製程改善
信賴區間
process improvement
confidence interval
optimal response
Type
thesis
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