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How to calculate a space-filling design

Updated over a year ago

A space-filling design in Synthace will generate experimental runs that are as evenly spaced throughout your design space as possible. They are good designs for early stages in your DOE campaign when you are screening for factors that impact your system and in some cases whether there might be factor interactions. They are best used to help you identify an area of interest in your design space and what the limits of the factor levels should be to take forward to a more detailed investigation with an optimal design.

In this tutorial you will learn:

  • How to select and generate a space-filling design for your defined factors and levels.

Defining a space-filling design

  1. Once two or more factors have been defined, click on “Calculate Design” in the DOE design window to choose a DOE design. To learn how to define factors and their levels, click here.

  2. The space-filling design will be selected by default and your design will start calculating automatically. Once the design calculation has completed you will see design diagnostics in the Diagnostics panel. To learn more about design diagnostics, click here.

  3. Control runs can be specified in the Controls panel by clicking on Add and manually filling in the table with factor levels. To learn more about defining control runs, click here.

  4. The calculated factor levels for each run can be found in the Designs panel. You can also decide how to group runs together based on factors and their levels and allocate them to different simulations for execution purposes here. To learn more about grouping runs to different simulations, click here.

Configuring your space-filling design.

  1. Specify the number of runs you want to investigate in the final design in the settings panel. If this is increased to a number greater than the number of wells in the output plate selected, Synthace will create new plates to satisfy the Design Run number.

    Note: changing the value in this field will trigger a recalculation of your design.

  2. The Random Seed is used to seed the calculation of your space-filling design. This value ensures the calculation is deterministic for the specific random seed, so designs can be recalculated with the same result. Any integer value can be provided here and the design will be recalculated. Changing this value can change the distribution of runs in your experimental space.

    Note: changing the value in this field will trigger a recalculation of your design.

  3. Specify how many times you would like to replicate your entire space-filling design in the Replicates input in the settings panel.

    Note: changing the value in this field will trigger a recalculation of your design.

  4. If you have specified more than one replicate in the replicates panel you can also define how you want the runs in those replicates to be ordered. By default the replicate order will be to repeat the same run order in each of the replicates of the design.

    You can also choose to keep each replicate run next to one another, randomize all runs across all replicates or randomize the runs within each replicate group independently.

    Note: changing the replicate ordering option will not recalculate your design, but the order of the runs will be updated in the design matrix at the bottom of the page. To learn more about replicating run order, click here.

  5. Once your design has been calculated - you can click Simulate With Design. To learn more about simulating workflows with a DOE design, click here.

    Well done on making it to the end of this tutorial.

    To learn about other design types, click here.

    To learn more about replicating run order, click here.

    To learn how to assess the quality of your design with design diagnostics, click here.

    To learn more about how to define control runs, click here.

    To learn more about grouping runs to different simulations, click here.

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