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Introduction to Experimental Design

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Experimental Design

Abstract

Experimentation is part of everyday life. Will leaving 30 minutes earlier than usual in the morning make it easier to find a legal parking space at work? How about 20 minutes earlier? Or only 10 minutes earlier? Can I increase my gas mileage by using synthetic oil? Will my problem employees make more of an effort to be on time if I make it a practice to stop by their office to chat at the start of the day? Will a chemical reaction be faster if the amount of a specific reagent is increased threefold? How about if the temperature is increased by 10 °C? Will the yield increase if an extraction is carried for 40 minutes instead of 20 minutes?

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Notes

  1. 1.

    A factorial design consists of varying combinations of levels of factors . A full (or complete) factorial design consists of all combinations of levels of factors , whereas a fractional factorial design consists of a carefully chosen subset of combinations. In a one-factor-at-a-time experiment the levels of factors are varied, but only one factor at a time. In Chap. 9 we describe and compare these designs in detail.

  2. 2.

    In addition to its contribution to the experimental design study, Fisher’s book “The Design of Experiments” (1st edition, 1935) introduces the concept of a null hypothesis – a general statement assumed to be true unless further evidence proves it otherwise.

  3. 3.

    “Replication” is sometimes used erroneously as a synonym for “repetition .” Replicates are measurements made on different items/units/etc. performed under the same experimental conditions. On the other hand, repetitions are repeated measurements on the same item/unit/etc. at certain conditions.

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Berger, P.D., Maurer, R.E., Celli, G.B. (2018). Introduction to Experimental Design. In: Experimental Design. Springer, Cham. https://doi.org/10.1007/978-3-319-64583-4_1

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