Journal of East China Normal University(Natural Sc ›› 2008, Vol. 2008 ›› Issue (1): 51-59.

• Article • Previous Articles     Next Articles

Statistical analysis of 2-level orthogonal saturated designs:the procedure of searching zero effects(Chinese)

ZHANG Xiao-qin1,2, ZHANG Ying-shan1, MAO Shi-song1   

  1. 1. Department of Statistics, East China Normal University, Shanghai 200062, China; 2. School of Mathematical Sciences, Shanxi University Taiyuan, 030006, China;
  • Received:2006-12-01 Revised:2007-04-27 Online:2008-01-25 Published:2008-01-25
  • Contact: ZHANG Xiao-qin

Abstract: The difficulty of analyzing orthogonal saturated designs is that there are no degrees of freedom to estimate the error variance, so that the ordinary ANOVA is no more available. The paper proposes a new method to identify the number of the effect parameters which is equal to zero, namely the Procedure of Searching Zero Effects. This proposed method is based on the mean of the order statistics. Consequently, the error variance is estimated and the active effects are identified.

Key words: order statistics, zero effects, active effects, orthogonal saturated designs, order statistics, zero effects, active effects

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