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3197 - Emerson Statistics
3197 - Emerson Statistics

... Values obtained from linear regression would be the same as those obtained from the t-test because this model is saturated. In particular, the difference of means would be equivalent to the slope in the regression function. Values obtained from logistic regression would be the same as the Chi-square ...
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... based on growth rates tends to produce more stable recursive parameter estimates compared to the one based on first differences. Second, it does not require the use of seasonally adjusted data. In fact, it is suitable when the GDP series are highly seasonal. Having to use seasonally adjusted data ma ...
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Gaussian processes

... Many of the classical machine learning algorithms that we talked about during the first half of this course fit the following pattern: given a training set of i.i.d. examples sampled from some unknown distribution, 1. solve a convex optimization problem in order to identify the single “best fit” mod ...
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armands pizza express

... sales increase. We could use the regression equation to predict the value of y for a given value of x. For example, if we know the restaurant is located near a campus with 16,000 students, we will compute ŷ = 60+5(16)= 140 We will discuss methods for assessing the appropriateness of using the regre ...
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Spatial Statistics
Spatial Statistics

... – Random: any point is equally likely to occur at any location, and the position of any point is not affected by the position of any other point. – Uniform: every point is as far from all of its neighbors as possible: “unlikely to be close” – Clustered: many points are concentrated close together, a ...
Spatial Statistics - The University of Texas at Dallas
Spatial Statistics - The University of Texas at Dallas

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... the residual standard error (RSE) from linear regressions. For example, CT in the Indian Ocean was reported to be predicted to within ±5 µmol kg−1 using a suite of hydrographic parameters (Bates et al., 2006), ±8 µmol kg−1 for the Southern Ocean (McNeil et al., 2007) and ±7 µmol kg−1 for a global da ...
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... system rate an extremely small fraction of the available books, movies, or songs, leading to massive amounts of missing data. Abstractly, we may consider a random process underlying the generation of incomplete data sets. This generative process can be decomposed into a complete data process that ge ...
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Three-dimensional Models of the Membranous Vestibular Labyrinth

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Bias Uncertainty - Integrated Sciences Group
Bias Uncertainty - Integrated Sciences Group

... is yi = 0 when ti = 0. There is a definite benefit to doing this. To see this, imagine that we perform a regression analysis and estimate both a and b. Because of the nature of the data we might have available, the estimate for a may turn out to be considerably larger than what we know to be reasona ...
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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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