Note the table shows a V resolution for 5 factors and 16 runs. Let’s assume we have a two-level, 5-factor experiment (32 runs) that we run as a half fraction (16 runs). Green represents high resolution, yellow medium resolution, and red is low resolution, where your main effect is confounded with your two-way interactions. #USP RESOLUTION CALCULATOR SOFTWARE#Minitab software provides a table showing the number of factors and number of runs for different fractions. Main effect may be confounded with a 5-way interaction. 2-way interactions are confounded with 4-way interactions. Resolution VI: 3-way interactions are confounded with each other.Main effect is confounded with 4-way interactions. Resolution V: 2-way interactions are confounded with 3-way interactions.Main effects are not confounded with 2-way interactions but may be with a 3-way interaction. Resolution IV: 2-way interactions may be confounded with each other.Resolution III: Main effect may be confounded with a 2-way interaction.Here are some of the more common definitions of resolution values: The degree of resolution is expressed in Roman numeral values starting with III. #USP RESOLUTION CALCULATOR FULL#Anything less than the full factorial will result in some level of confounding. But, we could choose to do a half fraction, or 16 runs, or even a quarter fraction, or 8 runs. In a two-level full factorial DOE, you would need 2^5 = 32 runs. Let’s say we have five variables: A, B, C, D, and E. Confounding or aliasing means you can no longer know the independent impact of your main effects and interactions on the response since they will be confounded with other main effects and interactions. When you conduct a fractional DOE, you use a subset of the full design. This would be defined as full resolution since you can independently know the impact of all individual main effects and interactions on the response variable. It would also provide two way interactions for AB, AC, and BC, along with a three-way interaction of ABC. For example, a full factorial design with three factors (A, B, and C) would provide information on the main effects of A, B, and C. It provides a complete understanding of the relationship between the factors. Ī full factorial DOE design explores every possible combination of factors, including interactions. Resolution in DOE refers to the degree of confounding or aliasing that occurs in a fractional factorial design. You will typically seek a higher resolution than you need to assure you have sufficient resolution to see what you need in your measurements. There will always be a tradeoff between cost and incremental resolution. If the scale in your testing lab needs to weigh your product in increments of plus and minus 1 gram but can only weigh in increments of plus and minus 5 grams, then your measurement system has low resolution.
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