Design Table Resolution For Free

Resolution is a measure of the degree of confounding in an experimental design. A factor or factor interaction is said to be confounded (or aliased) with another when the individual effects of the factors or factor interactions cannot be separated one from the other because of the limitations of the experimental data.

Resolution IV designs. These are designs in which no main effect is aliased with any other main effect or with any two-factor interaction, but two-factor interactions are aliased with other. A design with is of resolution IV . These are main effects clear designs.

An experimental design is called saturated if all the degrees of freedom are consumed by the estimation of the parameters without leaving degrees of freedom for error variance estimation.

A 2×3 factorial design is a type of experimental design that allows researchers to understand the effects of two independent variables on a single dependent variable.

The resolution of a design is given by the length of the shortest word in the defining relation. We normally write the resolution as a subscript to the factorial design using Roman numerals.

A saturated design is referred to as a Resolution III design, which means the main effect and the 2-way interactions are confounded. You will need to run a Resolution V or higher experiment to understand the non-confounded effect of your 2-way interactions.

Now, remember Resolution III designs are fractional factorial designs where the main effects are aliased with two-factor interactions. You may also have some two-factor interactions aliased with each other, but the real defining feature of these designs is that the main effects are aliased with two-factor interactions.