主講人:Prof.Ming-Chung Chang (張明中)

Institute of Statistical Science, Academia Sinica

 題:The selection of efficient multi-stratum factorial designs: a Bayesian approach

  期:1061114日(星期二)

 間:下午14:00

  點:科學館S433

Multi-stratum factorial designs are quite common in industrial investigations; a simple example is the so-called split-plot designs. In a multi-stratum experiment, there are multiple error terms (strata) with different variances that arise from complicated structures of the experimental units. For unstructured (single-stratum) experimental units, minimum aberration is a popular criterion for choosing fractional factorial designs. Many works in the literature extended this criterion to multi-stratum units. One difficulty is that the formulation of a wordlength pattern based on which minimum aberration is defined requires an order of desirability among the relevant words, but a natural order is often lacking. Furthermore, a criterion based only on wordlength patterns does not account for the different stratum variances. Chang and Cheng (2017), which presents a study of optimal and efficient two-level multi-stratum factorial designs via a Bayesian approach, overcomes this difficulty and works for general nonregular/nonorthogonal designs. In addition to the standard Bayesian A- and D-optimal criteria, a more manageable two-stage surrogate criterion is derived and a useful tool for eliminating inferior designs is developed. In this talk, I will give a detailed account of Chang and Cheng (2017), including some preliminary materials about multi-stratum designs, and use an example to illustrate the theory.

        Keywords: block structure, Bayesian optimality, wordlength pattern.

歡 迎 參 加

107學年度數學系專業證照獎學金得獎名單 發佈時間: 2018-10-12, 週五
 學號 班級   404190034  數學四  404191198  數學四  403200503  資統四  403200206...
107學年度第1學期數學系清寒獎學金得獎名單 發佈時間: 2018-10-12, 週五
下列每位同學各得獎金5,000元,請得獎同學於10月18日前至系辦填寫資料。 學號 班級 406190511 數學二 405190116...
107學年度第1學期數學系鄧靜華先生獎學金得獎名單 發佈時間: 2018-10-12, 週五
恭喜下列6位同學獲獎,每名獎學金27,000元 學號   班級  406190107  數學二  406200047  資統二...
本校108學年度碩博士班甄試招生簡章已公布於本校網頁,相關訊息如說明,有興趣者請踴躍報考。 發佈時間: 2018-10-03, 週三
本校108學年度碩博士班甄試招生簡章已公布於本校網頁,相關訊息如說明,請轉知學生或親友踴躍報考。 說 明:...
107/10/23 Professor Man-Ho Ling(Department of Mathematics and Information Technology, The Education University of Hong Kong)-Optimal simple SSALT plan for one-shot devices under exponential distributions 發佈時間: 2018-10-12, 週五
主講人:Professor. Man-Ho Ling (Department of Mathematics and Information Technology, The Education University of Hong Kong) 題...
107/10/23 Professor N. Balakrishnan(Distinguished University, McMaster University Hamilton, Ontario,Canada)-Exact Linear Likelihood Inference for Laplace Distribution 發佈時間: 2018-10-12, 週五
主講人:Professor N. Balakrishnan         (Distinguished University, McMaster University...
107/12/18 Professor Ng, Hon Keung Tony(Department of Statistical Science, Southern Methodist University, Dallas, Texas, USA)-Gamma Degradation Model and Related Applications: From Light Intensity to Drug Dissolution 發佈時間: 2018-10-11, 週四
主講人:Professor Ng, Hon Keung Tony (Department of Statistical Science, Southern Methodist University, Dallas, Texas, USA) 題  目:Gamma...
107/5/29 李志光 教授 (College of William and Mary)-An invitation to preserver problems 發佈時間: 2018-05-14, 週一
主講人:李志光 教授 (College of William and Mary) 題  目: An invitation to preserver problems  日 ...
107/5/22 洪盟凱 教授 (中央大學數學系)-Global existence of weak solutions to the initial-boundary value problem of Euler-Poisson equations with self-gravitation force in spherically symmetric space-times 發佈時間: 2018-05-14, 週一
主講人:洪盟凱 教授 (中央大學數學系) 題  目:Global existence of weak solutions to the initial-boundary value problem of...