The purpose of designing a randomized block experiment is to reduce the between-treatments variation (SST) to more easily detect differences between the treatment means.

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The purpose of designing a randomized block experiment is to reduce the within-treatment variation by accounting for variability due to other factors (blocks), thereby making it easier to detect differences between treatment means. It does not directly aim to reduce the between-treatments variation (SST), but rather to control for extraneous variation.

The Purpose of Designing a Randomized Block Experiment Is to Reduce