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I’m Glad You Asked: Answering Critical Justice Questions
Jason A. Colquitt and Kate P. Zipay of the Terry College of Business at the University of Georgia discuss their article “Justice Fairness and Employee Reactions” which they wrote for the 2015 Annual Review of Organizational Psychology and Organizational Behavior.
Statistics of Extremes: Animation 1
An animation from the 2015 review by A.C. Davison and R. Huser "Statistics of Extremes" from the Annual Review of Statistics and Its Application.
Illustration of the Extremal Types Theorem. For increasing values of n the left panels display the distribution of the maximum Z n of n independent uniform (top row) standard Gaussian (second row) unit exponential (third row) and 0.2-Pareto (bottom row) i.e. F(y) = 1 − y −0.2 y > 1 random variables. The right panels display the distribution of an −1 (Zn − bn ) for appropriate sequences an > 0 and bn . In each case Zn is asymptotically degenerate whereas an −1 (Zn − bn ) is not.
Statistics of Extremes: Animation 2
An animation from the 2015 review by A.C. Davison and R. Huser "Statistics of Extremes" from the Annual Review of Statistics and Its Application.
Illustration of the point process of exceedances and the convergence to the GPD. For increasing values of n the plots display the point process of rescaled times and rescaled variables namely (j/(n + 1) (Yj − bn )/an ) for data simulated from the uniform (top left) standard Gaussian (top right) unit exponential (bottom left) and 0.2-Pareto distributions. The side plots are histograms of the exceedances over the threshold u (horizontal blue line) i.e. an −1(Yj − bn )|an −1(Yj − bn ) > u. The solid red curves are the corresponding asymptotic GPD densities.
Statistics of Extremes: Animation 3
An animation from the 2015 review by A.C. Davison and R. Huser "Statistics of Extremes" from the Annual Review of Statistics and Its Application.
Illustration of extremal clustering for data simulated from an ARMAX(a) process with a ≥ 0 i.e. Yj = max(aY j−1 Zj ) j = 1 2 . . . where the Zj are independent unit Frechet random variables. The extremal index for this process is θ = max(1 a)/(1 + a) so extreme events form clusters with mean size 2 when a = 1. The value of a increases from a = 0 to a = 4 throughout the animation.
Statistics of Extremes: Animation 4
An animation from the 2015 review by A.C. Davison and R. Huser "Statistics of Extremes" from the Annual Review of Statistics and Its Application.
Illustration of the estimation of low-probability events. The upper panels display asymptotically dependent (left) and asymptotically independent (right) data along with a target extreme region A. The numbers correspond to the true probability p that a point lies in A (black) its naive empirical estimate pˆ (red ) its estimate pˆ D under asymptotic dependence using Equation 12 (blue) and its estimate pˆ I under asymptotic independence using Equation 23 (purple). For pˆ D and pˆ I extrapolation is based on the empirical estimate at the 0.95 level (dashed blue lines) and pˆ I uses an estimate ηˆ of the coefficient of tail dependence proposed in an article by Ledford & Tawn (1996). The bottom panels show these probabilities as a function of the threshold (i.e. the x-coordinate of the lower left corner of A).
Statistics of Extremes: Animation 5
An animation from the 2015 review by A.C. Davison and R. Huser "Statistics of Extremes" from the Annual Review of Statistics and Its Application.
Illustration of the point process of exceedances in the bivariate framework for increasing n. The upper left panel displays bivariate Student t data with 2 degrees of freedom and standard Pareto marginals rescaled by n. These data are asymptotically dependent. The right-hand panels show the corresponding histograms of the pseudoradius R and pseudoangle W for points lying above the threshold defined by R > 10−2 (solid blue line) with limiting densities superimposed in red. The bottom plots illustrate the Gaussian case which is asymptotically independent; here the limiting distribution of W places equal point masses of .5 at w = 0 and w = 1 and it has no mass elsewhere.
Statistics of Extremes: Animation 6
An animation from the 2015 review by A.C. Davison and R. Huser "Statistics of Extremes" from the Annual Review of Statistics and Its Application.
Illustration of the construction and simulation of a max-stable process here a unidimensional Smith model. A large (but in theory infinite) number of random storms with random decreasing sizes are generated (light gray curves) and the resulting max-stable process corresponds to the pointwise supremum (black curve).
The Impact of Toxins on the Developing Brain: Video 1
A video from the 2015 review by Bruce P. Lanphear "The Impact of Toxins on the Developing Brain" from the Annual Review of Public Health.
Shown: Subtle shifts in the intellectual abilities of individual children from widespread exposures to toxins can have a big impact on the number of children in a population who are intellectually challenged or gifted.
The Impact of Toxins on the Developing Brain: Video 2
A video from the 2015 review by Bruce P. Lanphear "The Impact of Toxins on the Developing Brain" from the Annual Review of Public Health.
Shown: Using a nationally representative study of US children this video illustrates how subtle shifts in ADHD symptoms from childhood lead exposure and prenatal tobacco exposure result in a large increase in the percent of U.S. children who have ADHD.
A Conversation with Hanna Pitkin
Hanna Pitkin Professor Emerita of Political Science at the University of California Berkeley talks about her life and career with Nancy Rosenblum Professor of Ethics and Politics in Government at Harvard University and Co-Editor of the Annual Review of Political Science. Dr. Pitkin discusses her childhood growing up between two "Jewish intellectual left-wingers" who fled 1930s Germany to Oslo Prague and eventually Los Angeles. She describes how her refugee status and acquisition of new languages led her to become a scholar in political science. In 1967 she published "The Concept of Representation" which won the 2003 Johan Skytte Prize in Political Science "for her groundbreaking theoretical work predominantly on the problem of representation." She went on to study other topics such as gender and politics in Machiavelli and Hannah Arendt's concept of "the Social."
A Conversation with Oliver Smithies
Professor Oliver Smithies is the Weatherspoon Eminent Distinguished Professor of Pathology and Laboratory Medicine at the University of North Carolina Chapel Hill. Along with Mario Capecchi and Martin Evans Oliver was awarded the Nobel Prize in Medicine in Physiology or Medicine in 2007 for his contributions to the development of gene targeting using homologous recombination in embryonic stem cells. This technique has had an immense impact on biomedical research over the past two decades. Professor Smithies has had a long and distinguished career as a researcher and mentor. Here he engages in an entertaining and enlightening discussion of his life in science with Dr. Tom Coffman professor of medicine at Duke University.
Pilot-Wave Hydrodynamics: Supplemental Video 1
A supplemental video from the 2015 review by John W.M. Bush "Pilot-Wave Hydrodynamics" from the Annual Review of Fluid Mechanics.
Shown: The pilot-wave dynamics of walking droplets. Reproduced with permission from Harris & Bush (2014). Copyright 2014 AIP Publishing LLC.
A Conversation with Susan Band Horwitz
The Clinical Assessment of Intraventricular Flows: Supplemental Video 1
A supplemental video from the 2015 review by Javier Bermejo Pablo Martínez-Legazpi and Juan C. del Álamo "The Clinical Assessment of Intraventricular Flows" from the Annual Review of Fluid Mechanics.
Shown: Phase-contrast magnetic resonance imaging sequence of 3D intraventricular flow performed in a pig’s heart showing flow velocity vectors and isosurfaces representing a constant value of the swirling strength which are used to visualize vortices and are colored using the value of local vorticity. The LV and RV chambers are shaded in red and blue respectively.
The Clinical Assessment of Intraventricular Flows: Supplemental Video 2
A supplemental video from the 2015 review by Javier Bermejo Pablo Martínez-Legazpi and Juan C. del Álamo "The Clinical Assessment of Intraventricular Flows" from the Annual Review of Fluid Mechanics.
Shown: 2D+t flow field sequence (apical long axis view) in the left ventricle of a patient with non-ischemic dilated cardiomyopathy obtained from color Doppler echocardiography and superimposed on an bright mode ultrasound image sequence depicting the ventricle anatomy. The instantaneous streamlines are shown with black lines and the velocity vector is indicated by the color map. The inset of the upper right corner shows a similar sequence for a normal volunteer.
The Clinical Assessment of Intraventricular Flows: Supplemental Video 3
A supplemental video from the 2015 review by Javier Bermejo Pablo Martínez-Legazpi and Juan C. del Álamo "The Clinical Assessment of Intraventricular Flows" from the Annual Review of Fluid Mechanics.
Shown: Time evolution of Finite-time Lyapunov exponent obained in a human volunteer by 2D+t color Doppler echocardiography indicanting Lagrangian coherent structures in left-ventricular flow.
Beneath Our Feet: Strategies for Locomotion in Granular Media: Supplemental Video 1
A supplemental video from the 2015 review by A.E. Hosoi and Daniel I. Goldman "Beneath Our Feet: Strategies for Locomotion in Granular Media" from the Annual Review of Fluid Mechanics.
Shown: E. directus (razor clam) digging through saturated glass beads at 10× speed. Video appears courtesy of Amos Winter and A.E. Hosoi.
Beneath Our Feet: Strategies for Locomotion in Granular Media: Supplemental Video 2
A supplemental video from the 2015 review by A.E. Hosoi and Daniel I. Goldman "Beneath Our Feet: Strategies for Locomotion in Granular Media" from the Annual Review of Fluid Mechanics.
Shown: Burial and swimming in dry granular media. Video appears courtesy of Sarah S. Sharpe and Daniel I. Goldman School of Physics Georgia Institute of Technology.
Beneath Our Feet: Strategies for Locomotion in Granular Media: Supplemental Video 3
A supplemental video from the 2015 review by A.E. Hosoi and Daniel I. Goldman "Beneath Our Feet: Strategies for Locomotion in Granular Media" from the Annual Review of Fluid Mechanics.
Shown: C. elegans moving through a wet granular medium of 98-μm particles. Video appears courtesy of Sunghwan Jung Stella Lee and Aravinthan Samuel.