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Change point problems: Problems with chronologically ordered data collected over the period during which there is known to have been a change in the underlying data generation course. Interest then lies in, retrospectively, making the inferences about the time period or position in the sequence in which the change occurred. A well known example is the Lindisfarne scribes data in which a count is made of the occurrences of the certain type of pronoun ending observed in 13 chronologically order edmedievalmanu scripts thought to be the work of more than one author. A plot of data shows strong evidence of a change point in the below drawn figure. An easy example of the possible model for such a problem is as follows Interest would centre on estimating parameters in the model specifically the change point, τ
Conjoint analysis : The method used basically in market research which is similar in many respects to the various dimensional scaling. The method attempts to assign values to the l
A directed graph is simple if each ordered pair of vertices is the head and tail of at most one edge; one loop may be present at each vertex. For each n ≥ 1, prove or disprove the
CONSTRUCTION OF AN OR MODEL
Quality-adjusted survival analysis is a method for evaluating the effects of treatment on survival which allows the consideration of quality of life as well as the quantity of lif
A subject who withdraws from the study for whatever reason, adverse side effects, noncompliance, moving away from the district, etc. In number of cases the reason may not be known.
Markers of disease progression : Quantities which form a general monotonic series throughout the course of the disease and assist with its modelling. In uasual such quantities are
A family of the probability distributions of the form given as here θ is the parameter and a, b, c, d are the known functions. It includes the gamma distribution, normal dis
Geographical analysis machine is the procedure designed to detect the clusters of rare diseases in a particular area. Circles of fixed radii are created at each point of the squar
Chance events : According to the Cicero these are events which occurred or will occur in ways which are the uncertain-events which may happen, may not happen, or may happen in some
The Null Hypothesis - H0: Model does not fit the data i.e. all slopes are equal to zero β 1 =β 2 =...=β k = 0 The Alternative Hypothesis - H1: Model does fit the data i.e. at
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