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This is a workable experimental design, but purely from the point of view of statistical accuracy (ignoring any other factors), a better design would be to give each person one regular sole and one new sole, randomly assigning the two types to the left and right shoe of each volunteer.
Tukey defined data analysis in 1961 as: "Procedures for analyzing data, techniques for interpreting the results of such procedures, ways of planning the gathering of data to make its analysis easier, more precise or more accurate, and all the machinery and results of (mathematical) statistics which apply to analyzing data."
Descriptive research; Descriptive statistics; Design effect; Design matrix; Design of experiments. The Design of Experiments (book by Fisher) Detailed balance; Detection theory; Determining the number of clusters in a data set; Detrended correspondence analysis; Detrended fluctuation analysis; Deviance (statistics) Deviance information ...
Designed experiments with full factorial design (left), response surface with second-degree polynomial (right) In statistics, response surface methodology (RSM) explores the relationships between several explanatory variables and one or more response variables. RSM is an empirical model which employs the use of mathematical and statistical ...
The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications of statistics. [1] [2] The theory covers approaches to statistical-decision problems and to statistical inference, and the actions and deductions that satisfy the basic principles stated for these different approaches.
Design and Analysis of Experiments. Handbook of Statistics. pp. 1149– 1199. Majumdar, D. "Optimal and Efficient Treatment-Control Designs". Design and Analysis of Experiments. Handbook of Statistics. pp. 1007– 1054. Stufken, J. "Optimal Crossover Designs". Design and Analysis of Experiments. Handbook of Statistics. pp. 63– 90.
As statistics and data sets have become more complex, [a] [b] questions have arisen regarding the validity of models and the inferences drawn from them. There is a wide range of conflicting opinions on modelling. Models can be based on scientific theory or ad hoc data analysis, each employing different methods. Advocates exist for each approach ...
The use of a sequence of experiments, where the design of each may depend on the results of previous experiments, including the possible decision to stop experimenting, is within the scope of sequential analysis, a field that was pioneered [12] by Abraham Wald in the context of sequential tests of statistical hypotheses. [13]