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Washington Statistical Society Seminars

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February 2012
7
Tues.
Design Effects for Unequal Weighting
7
Tues.
George Washington University
Department of Statistics
Simulation-Based Maximum Likelihood Inference For Partially Observed Markov Process Models
9
Fri.
University of Maryland
Department of Statistics
Monotonicity in the Sample Size of the Length of Classical Confidence Intervals Abstract
10
Fri.
Statistical Methods for Dynamic Models with Application Examples
10
Fri.
George Mason University
CDS/CCDS/Statistics Colloquium Series Seminar
Visual Clustering with Quantized Generalized Parallel Coordinates
24
Fri.
Cancer As A Failure Of Multicellularity: The Role Of Cellular Evolution


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Title: Design Effects for Unequal Weighting

Abstract:

Different approaches have been developed to summarize the impact of differential weighting in survey samples. The most popular measure is Kish's (1965, 1992) design-based design effect. Spencer (2000) proposed a simple model-based approach that depends on a single covariate to estimate the impact on variance of using variable weights. Both measures may not accurately produce design effects for unequal weighting induced by calibration adjustments. When the calibration covariates are correlated with the coverage/response mechanism, calibration weights can improve the MSE of an estimator. However, since calibration involves unit-level adjustments, in many applications it produces weights that are more variable than the base weights or weights from category-based nonresponse or postratification adjustments. The Kish and Spencer measures may not be appropriate here; an ideal measure of the impact of unequal calibration weights incorporates both the correlation between the survey variable and weights and the correlation between the survey variable and calibration covariates. We propose a model-based extension of the Spencer design-effect for different variables of interest in single-stage and cluster sampling and under calibration weight adjustments. The proposed methods are illustrated using complex sample case studies.


Title: Simulation-Based Maximum Likelihood Inference For Partially Observed Markov Process Models

Abstract:

Estimation of static (or time constant) parameters in a general class of nonlinear, non-Gaussian, partially observed Markov process models is an active area of research. In recent years, simulation-based techniques have made estimation and inference feasible for these models and have offered great flexibility to the modeler. An advantageous feature of many of these techniques is that there is no requirement to evaluate the state transition density of the model, which is often high-dimensional and unavailable in closed-form. Instead, inference can proceed as long as one is able to simulate from the state transition density - often a much simpler problem. In this talk, we introduce a simulation-based maximum likelihood inference technique known as iterated filtering that uses an underlying sequential Monte Carlo (SMC) filter. We discuss some key theoretical properties of iterated filtering. In particular, we prove the convergence of the method and establish connections between iterated filtering and well-known stochastic approximation methods. We then use the iterated filtering technique to estimate parameters in a nonlinear, non-Gaussian mechanistic model of malaria transmission and answer scientific questions regarding the effect of climate factors on malaria epidemics in Northwest India. Motivated by the challenges encountered in modeling the malaria data, we conclude by proposing an improvement technique for SMC filters used in an off-line, iterative setting.


Title: Monotonicity in the Sample Size of the Length of Classical Confidence Intervals Abstract

Abstract:

It is proved that the average length of standard confidence intervals for parameters of gamma and normal distributions monotonically decreases with the sample size. Though the monotonicity seems a very natural property, the proofs are based on fine properties of the classical gamma function and are of independent interest. (It is a joint work with Abram Kagan).


Title: Statistical Methods for Dynamic Models with Application Examples

Abstract:

A dynamical system in engineering and physics, specified by a set of differential equations, is usually used to describe a dynamic process which follows physical laws or engineering principles. The parameters in the dynamical system are usually assumed known. However, an interesting question to ask is how to estimate these parameters when they are not known before. In this talk, I show you two examples where various statistical methods are applied to dynamic models for estimating unknown parameters based on observed data. Eventually, we are interested in predicting the future behavior of the dynamic system. The first example is on modeling HIV viral load dynamics from a clinical trial study. The second is on modeling a complicated interactive network.


Title: Visual Clustering with Quantized Generalized Parallel Coordinates

Abstract:

Visual pattern discovery in large multivariate datasets is a challenging problem in the fields of data mining and exploratory data analysis. This is due, in part, to the visual cluttering problem, which depends on screen resolutions and the number of points. The cluttering defies most information visualization techniques in general and parallel coordinates in particular. The cluttering effect increases with the number of data records, which makes the visual detection of hidden clusters, trends, correlations, periodicity, and anomalies even more difficult.

In this talk we discuss our hybrid plots called the quantized generalized parallel coordinate plot (QGPCP). The QGPCP detects the frequency of the profile lines (or curves), which represent the multivariate observations in parallel coordinate space, and maps this frequency into a gray (or HSV) scale color to highlight the profile lines (or curves) in a crowded GPCP. The approach has shown a great success in mitigating cluttering and detecting clusters in very large data not only in parallel coordinates but also the Andrews plot and the scatterplot matrix. We demonstrate the QGPCP on cluster tracking and visualization on Remote sensing, Computer Network, and Housing data sets.


Title: Cancer As A Failure Of Multicellularity: The Role Of Cellular Evolution

Abstract:

Cancer results froma process of cellular evolution. Key cancer defenses and vulnerabilities arose from the ancient evolutionary transition from single-celled to multicellular organisms. Because cellular evolution leads inexorably to cancer, organismal evolution has organized cell reproduction into patterns that are less subject to cellular evolution. We used an agent-based computational model of evolution inside tissues to test the hypothesis that cell differentiation is crucial to suppressing cellular evolution within the body. The hypothesis was supported. If this most basic safeguard is compromised, all the obstacles to cancer built by organismal evolution are quickly dismantled by cellular evolution within the organism. Other simulations addressed the origins of tissue invasion and metastasis


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