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In game theory, the best response is the strategy (or strategies) which produces the most favorable outcome for a player, taking other players' strategies as given. [1] The concept of a best response is central to John Nash's best-known contribution, the Nash equilibrium, the point at which each player in a game has selected the best response (or one of the best responses) to the other players ...
Response surface methodology uses statistical models, and therefore practitioners need to be aware that even the best statistical model is an approximation to reality. In practice, both the models and the parameter values are unknown, and subject to uncertainty on top of ignorance.
(See "rotatability" in "Comparisons of response surface designs".) Box-Behnken design is still considered to be more proficient and more powerful than other designs such as the three-level full factorial design, central composite design (CCD) and Doehlert design, despite its poor coverage of the corner of nonlinear design space. [1]
The model for the response is , = + + with Y i,j being any observation for which X 1 = i (i and j denote the level of the factor and the replication within the level of the factor, respectively) μ (or mu) is the general location parameter; T i is the effect of having treatment level i
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]
If the response data used to estimate the model contain values that change sign, or if the lowest response value is far from zero (for example, when data are left-truncated), a location parameter, L, may be added to the response so that the expressions for the quantile function and for the median become, respectively:
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The method has the following steps. 1. Identify the external systems by brainstorming a list of the "actors" (external systems), which are the sources of external events.If you find a graphic to be helpful, create a context diagram showing the actors outside of the system under study and the flows/signals between them.