The Design of Experiments

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Stained glass window in the dining hall of Caius College, Cambridge, commemorating Ronald Fisher and representing a Latin square Fisher-stainedglass-gonville-caius.jpg
Stained glass window in the dining hall of Caius College, Cambridge, commemorating Ronald Fisher and representing a Latin square

The Design of Experiments is a 1935 book by the English statistician Ronald Fisher about the design of experiments and is considered a foundational work in experimental design. [1] [2] [3] Among other contributions, the book introduced the concept of the null hypothesis in the context of the lady tasting tea experiment. [4] A chapter is devoted to the Latin square.

Contents

Chapters

  1. Introduction
  2. The principles of experimentation, illustrated by a psycho-physical experiment
  3. A historical experiment on growth rate
  4. An agricultural experiment in randomized blocks
  5. The Latin square
  6. The factorial design in experimentation
  7. Confounding
  8. Special cases of partial confounding
  9. The increase of precision by concomitant measurements. Statistical Control
  10. The generalization of null hypotheses. Fiducial probability
  11. The measurement of amount of information in general

Quotations regarding the null hypothesis

Fisher introduced the null hypothesis by an example, the now famous Lady tasting tea experiment, as a casual wager. She claimed the ability to determine the means of tea preparation by taste. Fisher proposed an experiment and an analysis to test her claim. She was to be offered 8 cups of tea, 4 prepared by each method, for determination. He proposed the null hypothesis that she possessed no such ability, so she was just guessing. With this assumption, the number of correct guesses (the test statistic) formed a hypergeometric distribution. Fisher calculated that her chance of guessing all cups correctly was 1/70. He was provisionally willing to concede her ability (rejecting the null hypothesis) in this case only. Having an example, Fisher commented: [5]

Regarding an alternative non-directional significance test of the Lady tasting tea experiment:

Regarding which test of significance to apply:

On selecting the appropriate experimental measurement and null hypothesis:

See also

Notes

  1. Box, JF (February 1980). "R. A. Fisher and the Design of Experiments, 1922–1926". The American Statistician . 34 (1): 1–7. doi:10.2307/2682986. JSTOR   2682986.
  2. Yates, F (June 1964). "Sir Ronald Fisher and the Design of Experiments". Biometrics . 20 (2): 307–321. doi:10.2307/2528399. JSTOR   2528399.
  3. Stanley, Julian C. (1966). "The Influence of Fisher's "The Design of Experiments" on Educational Research Thirty Years Later". American Educational Research Journal. 3 (3): 223–229. doi:10.3102/00028312003003223. JSTOR   1161806.
  4. OED, "null hypothesis," first usage: 1935 R. A. Fisher, The Design of Experiments ii. 19, "We may speak of this hypothesis as the 'null hypothesis'...the null hypothesis is never proved or established, but is possibly disproved, in the course of experimentation."
  5. The Design of Experiments (2 ed.). Edinburgh: Oliver and Boyd. 1937. The book was published in 9 editions from 1935 to 1971. The last two editions were published posthumously. The publisher of the 8th edition of 1966 was Hafner of Edinburgh. The publisher of the 9th edition of 1971 was Macmillan with an ISBN of 0-02-844690-9. A more recent publication was as part of Statistical methods, experimental design, and scientific inference by the Oxford University Press in 1990 with an ISBN of 0198522290. While pagination was inconsistent among editions, Fisher maintained consistent section numbering where feasible. The most relevant sections of the text are (Chapter II: The Principles of Experimentation, Illustrated by a Psycho-physical Experiment, Section 8: The Null Hypothesis) and (Chapter X: The Generalization of the Null Hypothesis).

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References