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I need to test my web site having 20 user roles and 40 permissions across different web pages, which Orthogonal array will be the closest to consider for this scenario i.e. two factors first with 20 levels and the second with 40 levels.

I understand the array may not completely match the scenario so how can I remove the values which may not be applicable.

Can I adapt the array for 40 factors and 3 levels each at https://www.york.ac.uk/depts/maths/tables/l81.htm, for my scenario?

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You can try looking for an OA that accommodates a higher or mixed number of levels for each factor. A standard approach would be to use a larger OA that can accommodate the maximum levels and then reduce the levels not needed. Another step you can consider is to remove the non-applicable rows to fit your exact scenario.

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The ones available are usually for higher number of factors with 2-4 levels but my case has 40 levels with just two factors. Not sure if I can adapt them.

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