Flashcards in 24. Design of Experiments Deck (25):
A formal plan that details for conducting an experiment
The relationship between a factor and a response variable.
The output variable that shows the observed results or value of an experimental treatment.
A particular value of a response variable
An Independent variable or assignable cause
An independent variable that is difficult or too expensive to control
The setting or assignment of a factor at a specific value.
The multidimensional region of possible treatment combinations formed by the selected factors and their levels.
The variation that occurs in the response variable
The smallest entity receiving a particular treatment.
Specifit setting or combination of factor levels.
A single performance of the experiment
Each complete trial or replication of the experiment all possible combinations of the levels of the factors are investigated.
Levels of one factor are nested under the levels of another factor.
Power and Sample Size
Power increases as the sample size increases (probability of a type II error, beta, decreases).
The measurement of a response variable more than once under similar conditions.
The entire experiment is performed more than once for a given set of independent variables.
Replication reflects the sources of variability both within and between runs and adds DF.
Occurs when factors or interactions are not distinguishable from one another.
The sequence in which the runs of an experiment will be conducted.
- Standard order
- Run order (random)
A collection of experimental units more homogeneous than the full set of experimental units.
Block effect generally means that the method of blocking was appropriate and that an assignable cause has been found.
The impact or influence of a single factor on the mean of the response variable.
Factors with the greatest difference between + and - results have the greatest impact
When the influence of one factor on the response variable depends on one or more other factors
All treatment combinations have the same number of observations
The level of confounding in a fractional factorial design. Generally one more than the smallest-order interaction with which a main effect is confounded