Dissertation > Excellent graduate degree dissertation topics show

Some Results on Fractional Factorial Design and Block Designs with Simple Structure

Author: LouZuo
Tutor: ZhangRunChu
School: Northeast Normal University
Course: Probability Theory and Mathematical Statistics
Keywords: fractional factoral design GMC design MA design word-length pattern aliased effect-number pattern
CLC: O212.6
Type: Master's thesis
Year: 2010
Downloads: 30
Quote: 0
Read: Download Dissertation


Recently, Zhang, Li, Zhao and Ai (2008) proposed a general minimum lower-order confounding (GMC for short) theory and a GMC criterion for choosing optimal fractional factorial designs. It is proved that, the GMC theory can manage the existing criteria for selecting designs. When an experiment has prior on important order of the factors, the GMC design is the best choice compared with any other optimal ones. Zhang, Wei and Li (2010) proposed a B-GMC criterion for choosing optimal blocking for two-level rgular designs. In this paper, we first prove some results on two-level fractional factoral design, and compare GMC criterion with MA criterion. Finally, we give the method of compare two block designs with simple structure.

Related Dissertations

  1. Construction and Properties for Blocked Fractional Factorial Designs,O212.6
  2. Uniformity in Terms of the Symmetric L2-discrepancy of Double Designs,O212
  3. Based on statistics of the lognormal distribution heteroscedasticity model inferred,O212.1
  4. Africa mean covariance model constrained maximum likelihood parameter estimation,O212.1
  5. With missing covariates relative risk estimate model theory and its asymptotic properties,O212.1
  6. Penalized Semiparametric Density Estimation of Right Censored Data,O212.1
  7. Bayesian Methods for Time Series Outliers Detection and Applications in GPS Data Processing,O212.8
  8. Theory and Application for the Logistic Regression Models Based on Case-Control Data,O212.1
  9. The Empirical Bayes Estimations of Parameters for Multi-classification Model,O212.8
  10. The Statistical Diagnosis for the Partial Nonlinear Model of Random Cencorship,O212.1
  11. Study of Binary Skew LOGIT Model and Its Application,O212.1
  12. Study on Generalized Ridge Estimator of Regression Coefficients in Linear Model,O212.1
  13. The Existence of UMRE Estimators under Balanced Loss and the Optimality of Truncated Mean,O212.1
  14. Detection of Outliers in the Linear Regression Model with RJMCMC Method,O212.1
  15. A Model Robustness under the Effect Sparsity Principle,O212.6
  16. Model Based Protein Lysate Arrays Data Analysis,O212.1
  17. Comparison of Monotone B-spline Quantile Regression and Isotonic Regression with Application to Monotonic Data,O212.8
  18. Approximation on P-value Function for the Mean Difference of Two Independent Normal Samples with Fixed Variance Ratio,O212.1
  19. Identification to Social Interactions under Conditional Variance Restriction,O212.1
  20. Mixed Model-based Cluster Methods,O212.4

CLC: > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Mathematical Statistics > Test analysis and experimental design
© 2012 www.DissertationTopic.Net  Mobile