When the number of runs is too large to be completed under steady state conditions, you need to be concerned with the error that may be introduced into the experiment. Running an experiment in blocks allows you to separately and independently estimate the block effects (or different experimental conditions) from the factor effects. For example, blocks might be days, suppliers, batches of raw material, machine operators, or manufacturing shift.
For a central composite design, the number of orthogonal blocks depends on the number of factors, the number of runs, and the design fraction you choose. A central composite design can always be separated into a factorial block and an axial point block. With three or more factors, the factorial block can also be divided into two or more blocks. When you are creating a design, Minitab displays the appropriate choices.
If you add replicates to your design, you can also block on replicates. How this works depends on whether you have existing blocks in your design.
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The value of a, in combination with the number of center points, determines whether a design exhibits the properties of rotatability and orthogonal blocking. Minitab provides default designs that achieve rotatability and orthogonal blocking, when both properties can be achieved simultaneously. When the design is blocked and you cannot achieve both properties simultaneously, the default designs provide for orthogonal blocking. |