2^3 Full Factorial Array (Similar to the Taguchi L8 Orthogonal Array)

CP5070 DOE Tutorial Example 1 on dissolution of lactose

2 levels of 3 factors with up to 8 reps = (2^3) x 8 = 64 or less data points; Change only yellow boxes

Factor Assignment

Response Table (Data)

Quick Calculations

Main Effects

Interactions (i.e. AxB).

Replicates used to normalize the data

Run#

Run Order

D=AB

E=AC

F=BC

G=ABC

Each run was replicated 8 times (R1, R2, etc)

The response variable is dissolution of lactose (minutes)

Reference Key to Factor Selection

Factor A = Your factor:

Arm length

Start Angle

Stop Angle

Factor D = Your factor:

Confounding Column Information (for alternative factor assignment considerations)

The Taguchi L8 array is very similar to this arrray but has slightly different columns that confound with each other. This

array does not have confounding columns. Using the L8 array requires an uderstanding of column confounding.

Calculating the Significance of Main Effects (Solving for Means)

Factor A

Runs Where A is + :

Runs Where A is - :

Total Effect = Difference =

Factor B

Runs Where B is + :

Runs Where B is - :

Total Effect = Difference =

Factor C

Runs Where C is + :

Runs Where C is - :

Total Effect = Difference =

Calc. the Sig. of 2nd Order Interaction Effects or Aliased Effects (Solving for Means)

Factor D (AB)

Runs Where D is + :

Runs Where D is - :

Total Effect = Difference =

Factor E (AC)

Runs Where E is + :

Runs Where E is - :

Total Effect = Difference =

Factor F (BC)

Runs Where F is + :

Runs Where F is - :

Total Effect = Difference =

Calc. the Sig. of 3rd Order Interaction Effects, Error, or Aliased Effects (Solving for Means)

Factor G (ABC)

Runs Where G is + :

Runs Where G is - :

Total Effect = Difference =