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Design of Experiments (DOE) G.Gallo 11 marzo 2009
Concept of Quality by Design (QbD) ,[object Object],[object Object],[object Object],[object Object]
Process analytical technology ( PAT ) ,[object Object],[object Object],[object Object]
Different methods ,[object Object],[object Object],Changing a single factor a time doesn’t necessarily provide information about the optimum conditions in particular when there are interactions between factors. BUT
DOE ,[object Object],[object Object]
Where DOE is used? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The main questions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],DOE provides an organized approach where the experimenter is  guided to perform a set of experiments, that are then evaluated in terms of a local regression model and interpreted to make decisions
Common steps in DOE
Screening  ,[object Object],[object Object],[object Object],[object Object]
Definition of factors ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Specification of responses ,[object Object],[object Object],[object Object]
N°Experiments X1 X2 X3 1 - - - 2 2  full factorial design   2 + - -   replicate experiments   3 - + - 2 3  full factorial design   4 + + - 2 3-1  fractional factorial design 5 - - + 6 + - + 7 - + + 8 + + + 9 0  0 0   10 0 0 0   11 0 0 0
Example 1: Reduction of enamines to saturated amines by formic acid ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example 1: (continued) ,[object Object],[object Object],[object Object]
Computation of effects - Least square analysis ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Causes of poor models ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Optimization ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Response contour plot ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Robustness testing ,[object Object],[object Object],[object Object],[object Object]
Example 2: Quality documentation of a HPLC system ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example 2: (continued) ,[object Object],[object Object],[object Object],[object Object]
Selection of the model and generation of design ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Bibliography ,[object Object],[object Object],[object Object],[object Object]

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design of experiments

  • 1. Design of Experiments (DOE) G.Gallo 11 marzo 2009
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  • 11. N°Experiments X1 X2 X3 1 - - - 2 2 full factorial design 2 + - - replicate experiments 3 - + - 2 3 full factorial design 4 + + - 2 3-1 fractional factorial design 5 - - + 6 + - + 7 - + + 8 + + + 9 0 0 0 10 0 0 0 11 0 0 0
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