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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]
The design matrix has dimension n-by-p, where n is the number of samples observed, and p is the number of variables measured in all samples. [4] [5]In this representation different rows typically represent different repetitions of an experiment, while columns represent different types of data (say, the results from particular probes).
This is sufficient to determine which explanatory variables affect the response variable(s) of interest. Once it is suspected that only significant explanatory variables are left, then a more complicated design, such as a central composite design can be implemented to estimate a second-degree polynomial model, which is still only an ...
Sequential analysis also has a connection to the problem of gambler's ruin that has been studied by, among others, Huygens in 1657. [12]Step detection is the process of finding abrupt changes in the mean level of a time series or signal.
Sequential estimation is the core of many well known applications, such as the Viterbi decoder, convolutional codes, video compression or target tracking. Due to its state space representation, which is in most cases motivated by physical laws of motion, there is a direct link to control applications, which led to the use of the Kalman filter ...
An instrument is a variable that does not itself belong in the explanatory equation but is correlated with the endogenous explanatory variables, conditionally on the value of other covariates. In linear models, there are two main requirements for using IVs:
Inserts an explanatory footnote. Notes can be named and grouped. Template parameters Parameter Description Type Status Note 1 reference text content Text of the note Content suggested Ref. name name Reference name of the note String optional Reference group group Styled group to which the note belongs Suggested values upper-alpha lower-greek note lower-roman upper-roman String optional See ...
Research design refers to the overall strategy utilized to answer research questions. A research design typically outlines the theories and models underlying a project; the research question(s) of a project; a strategy for gathering data and information; and a strategy for producing answers from the data. [ 1 ]