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“The definition of random in terms of a physical operation is notoriously without effect on the mathematical operations of statistical theory because so far as these mathematical operations are concerned random is purely and simply an undefined term. The formal and abstract mathematical theory has an independent and sometimes lonely existence of its own. But when an undefined mathematical term such as random is given a definite operational meaning in physical terms, it takes on empirical and practical significance. Every mathematical theorem involving this mathematically undefined concept can then be given the following predictive form: If you do so and so, then such and such will happen.”

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Walter A. Shewhart

[Shewhart, Walter A., Deming, William E., Statistical Method from the Viewpoint of Quality Control, The Graduate School, The Department of Agriculture, 1939, 18]
Economic Control of Quality of Manufactured Product,1931

“Rule 1. Original data should be presented in a way that will preserve the evidence in the original data for all the predictions assumed to be useful.”

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Walter A. Shewhart

Economic Control of Quality of Manufactured Product,1931

“In other words, the fact that the criterion we happen to use has a fine ancestry of highbrow statistical theorems does not justify its use. Such justification must come from empirical evidence that it works.”

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Walter A. Shewhart

Quelle: Economic Control of Quality of Manufactured Product,1931, p. 18

“Postulate 1. All chance systems of causes are not alike in the sense that they enable us to predict the future in terms of the past.
Postulate 2. Constant systems of chance causes do exist in nature.
Postulate 3. Assignable causes of variation may be found and eliminated.”

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Walter A. Shewhart

Quelle: Economic Control of Quality of Manufactured Product,1931, p. 8

“Both pure and applied science have gradually pushed further and further the requirements for accuracy and precision. However, applied science, particularly in the mass production of interchangeable parts, is even more exacting than pure science in certain matters of accuracy and precision.”

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Walter A. Shewhart

Quelle: Statistical Method from the Viewpoint of Quality Control, 1939, p. 120

“Rule 2. Any summary of a distribution of numbers in terms of symmetric functions should not give an objective degree of belief in any one of the inferences or predictions to be made therefrom that would cause human action significantly different from what this action would be if the original distributions had been taken as evidence.”

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Walter A. Shewhart

[Shewhart, Walter A., Deming, William E., Statistical Method from the Viewpoint of Quality Control, The Graduate School, The Department of Agriculture, 1939, 88]
Economic Control of Quality of Manufactured Product,1931