Type of Document Dissertation Author McMahan, Angela Renee Author's Email Address mcmahan@vt.edu URN etd-130211739741061 Title Measurement Error in Designed Experiments for Second Order Models Degree PhD Department Statistics Advisory Committee
Advisor Name Title Birch, Jeffrey B. Myers, Raymond H. Reynolds, Marion R. Jr. Ye, Keying Smith, Eric P. Committee Chair Keywords
- designed experiments
- berkson error
- measurement error
Date of Defense 1997-11-04 Availability unrestricted Abstract Measurement error (ME) in the factor levels of
designed experiments is often overlooked in the
planning and analysis of experimental designs. A
familiar model for this type of ME, called the Berkson
error model, is discussed at length. Previous research
has examined the effect of Berkson error on two-level
factorial and fractional factorial designs. This
dissertation extends the examination to designs for
second order models. The results are used to suggest
optimal values for axial points in Central Composite
Designs. The proper analysis for experimental data
including ME is outlined for first and second order
models. A comparison of this analysis to a typical
Ordinary Least Squares analysis is made for second
order models. The comparison is used to quantify the
difference in performance of the two methods, both of
which yield unbiased coefficient estimates. Robustness
to misspecification of the ME variance is also
explored. A solution for experimental planning is also
suggested. A design optimality criterion, called the
DME criterion, is used to create a second-stage
design when ME is present. The performance of the
criterion is compared to a D-optimal design
augmentation. A final comparison is made between
methods accounting for ME and methods ignoring
ME.
Files
Filename Size Approximate Download Time (Hours:Minutes:Seconds)
28.8 Modem 56K Modem ISDN (64 Kb) ISDN (128 Kb) Higher-speed Access etd.pdf 680.96 Kb 00:03:09 00:01:37 00:01:25 00:00:42 00:00:03
|
|
If you have questions or technical problems, please Contact DLA.
