Experimental Design
On Small Differences in Sensation
- Author: Charles Sanders Peirce and Joseph Jastrow
- Publication data: Peirce, Charles Sanders; Jastrow, Joseph (1885). "On Small Differences in Sensation". Memoirs of the National Academy of Sciences 3: 73–83. http://psychclassics.yorku.ca/Peirce/small-diffs.htm.
- Online version: http://psychclassics.yorku.ca/Peirce/small-diffs.htm
- Description: Peirce and Jastrow use logistic regression to estimate subjective probabilities of subjects's judgments of the heavier of two measurements, following a randomized controlled repeated measures design.
- Importance: The first randomized experiment, which also used blinding; it seems also to have been the first experiment for estimating subjective probabilities.
The Design of Experiments
- Author: Fisher, RA
- Publication data: 1935, Oliver and Boyd, Edinburgh
- Description: The first textbook on experimental design
- Importance: Influence
The Design and Analysis of Experiments
- Author: Oscar Kempthorne
- Publication data: 1950, John Wiley & Sons, New York (Reprinted with corrections in 1979 by Robert E. Krieger)
- Description: Early exposition of the general linear model using matrix algebra (following lecture notes of George W. Brown). Bases inference on the randomization distribution objectively defined by the experimental protocol, rather than a so-called "statistical model" expressing the subjective beliefs of a statistician: The normal model is regarded as a convenient approximation to the randomization-distribution, whose quality is assessed by theorems about moments and simulation experiments.
- Importance: The first and most extensive discussion of randomation-based inference in the field of design of experiments until the recent 2-volume work by Hinkelmann and Kempthorne; randomization-based inference is called "design-based" inference in survey sampling of finite populations. Introduced the treatment-unit additivity hypothesis, which was discussed in chapter 2 of David R. Cox's book on experiments (1958) and which has influenced Donald Rubin and Paul Rosenbaum's analysis of observational data.
On the Experimental Attainment of Optimum Conditions (with discussion)
- Author: George E. P. Box and K. B. Wilson.
- Publication data: (1951) Journal of the Royal Statistical Society Series B 13(1):1–45.
- Description: Introduced Box-Wilson central composite design for fitting a quadratic polynomial in several variables to experimental data, when an initial affine model had failed to yield a direction of ascent. The design and analysis is motivated by a problem in chemical engineering.
- Importance: Introduced response surface methodology for approximating local optima of systems with noisy observations of responses.
Read more about this topic: List Of Important Publications In Statistics
Famous quotes containing the words experimental and/or design:
“Whenever a man acts purposively, he acts under a belief in some experimental phenomenon. Consequently, the sum of the experimental phenomena that a proposition implies makes up its entire bearing upon human conduct.”
—Charles Sanders Peirce (1839–1914)
“With wonderful art he grinds into paint for his picture all his moods and experiences, so that all his forces may be brought to the encounter. Apparently writing without a particular design or responsibility, setting down his soliloquies from time to time, taking advantage of all his humors, when at length the hour comes to declare himself, he puts down in plain English, without quotation marks, what he, Thomas Carlyle, is ready to defend in the face of the world.”
—Henry David Thoreau (1817–1862)