Statisticians, like artists, have the bad habit of falling in love with their models.
George E. P. BoxManagement must provide employees with tools that will enable them to do their jobs better, and with encouragement to use these tools. In particular, they must collect data.
George E. P. BoxRemember that all models are wrong; the practical question is how wrong do they have to be to not be useful.
George E. P. BoxFor the theory-practice iteration to work, the scientist must be, as it were, mentally ambidextrous; fascinated equally on the one hand by possible meanings, theories, and tentative models to be induced from data and the practical reality of the real world, and on the other with the factual implications deducible from tentative theories, models and hypotheses.
George E. P. BoxStatistics is, or should be, about scientific investigation and how to do it better, but many statisticians believe it is a branch of mathematics. Now I agree that the physicist, the chemist, the engineer, and the statistician can never know too much mathematics, but their objectives should be better physics, better chemistry, better engineering, and in the case of statistics, better scientific investigation. Whether in any given study this implies more or less mathematics is incidental.
George E. P. Box