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Box-Behnken Design Calculator

Here you can easily generat a Box-Behnken Design online. Simply select the number of factors, the number of replications and the number of center points. The Box-Behnken Design Generator will then create your test plan.

Box-Behnken Design Generator

A Box-Behnken Design is a type of response surface methodology (RSM) used in statistical experiments. It's a well-established design for three-level factorial experimental setups and is particularly favored for its efficiency in running experiments when compared to the full factorial design. Here are the key characteristics of a Box-Behnken Design:

• Three-Level Design: Unlike traditional two-level factorial designs, the Box-Behnken approach uses three levels for each factor (typically coded as -1, 0, +1). These levels typically represent low, medium, and high values of the experimental factors.
• Experimental Efficiency: Box-Behnken Designs require fewer experimental runs than full factorial designs, making them more efficient, especially when dealing with multiple factors. This efficiency makes it a popular choice for experiments where time or resources are limited.
• Focus on Quadratic Effects: This design is particularly well-suited for exploring quadratic (squared) effects and interactions between variables. It allows researchers to efficiently estimate the main effects, two-factor interactions, and squared effects of the variables.
• Rotatability: A rotatable design ensures that the precision of the estimates of the response is the same at any point that is the same distance from the center. This feature is advantageous in exploring response surfaces.
• Design Structure: The design does not include combinations where all factors are set to their extreme levels (either lowest or highest). Instead, it consists of a central point and the middle points of the edges of the factorial cube in a factorial design. This arrangement helps in avoiding extreme conditions that might lead to unsafe or impractical experiments.
• Applications: Box-Behnken Designs are widely used in various fields such as industrial process optimization, product development, and scientific research, especially in chemistry and pharmaceuticals, where response optimization is crucial.

The Box-Behnken Design is particularly advantageous when the primary interest is in fitting a quadratic model to the response variable, and there's a need to balance the comprehensive exploration of the experimental space with the cost and feasibility of running a large number of experiments.

For sure you can also create a Full Factorial Design online, which is suitable for experiments with a small number of factors and levels. FFD examines all possible combinations of levels for all factors, leading to a large number of experimental runs, especially as the number of factors increases.

Cite DATAtab: DATAtab Team (2024). DATAtab: Online Statistics Calculator. DATAtab e.U. Graz, Austria. URL https://datatab.net