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Standard error
Standard error

Biomarker Discovery and Data Visualization Tool for
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... analysis, it is necessary to provide them with technology for the visualization and analysis of the data, leading to the generation of useful knowledge [4]. In the biomarker data analysis system, a method to enhance diagnostic accuracy is sought by analyzing each performance of various combinations ...
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... Inverting this logic might predict that parents are more extreme than heir children. This is not so : the gradient of the parents on kids line was 0.29, even less than the 1.0 expected from equality. Remember: the best fit line does not just transpose when X and Y swap! ...
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... We discussed constructing a CI for the unknown mean at xh , β0 + β1 xh . What if we want to find an interval that the actual value Yh is in (versus only it’s mean) with fixed probability? If we knew β0 , β1 , and σ 2 this is easy: Yh = β0 + β1 xh + h , and so, for example, P (β0 + β1 xh − 1.96σ ≤ Y ...
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Newton`s Cool - Militant Grammarian
Newton`s Cool - Militant Grammarian

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Data assimilation

Data assimilation is the process by which observations are incorporated into a computer model of a real system. Applications of data assimilation arise in many fields of geosciences, perhaps most importantly in weather forecasting and hydrology. The most commonly used form of data assimilation proceeds by analysis cycles. In each analysis cycle, observations of the current (and possibly past) state of a system are combined with the results from a numerical model (the forecast) to produce an analysis, which is considered as 'the best' estimate of the current state of the system. This is called the analysis step. Essentially, the analysis step tries to balance the uncertainty in the data and in the forecast. The result may be the best estimate of the physical system, but it may not the best estimate of the model's incomplete representation of that system, so some filtering may be required. The model is then advanced in time and its result becomes the forecast in the next analysis cycle. As an alternative to analysis cycles, data assimilation can proceed by some sort of nudging process, where the model equations themselves are modified to add terms that continuously push the model towards observations.
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