75,365 research outputs found
The Importance of Being Clustered: Uncluttering the Trends of Statistics from 1970 to 2015
In this paper we retrace the recent history of statistics by analyzing all
the papers published in five prestigious statistical journals since 1970,
namely: Annals of Statistics, Biometrika, Journal of the American Statistical
Association, Journal of the Royal Statistical Society, series B and Statistical
Science. The aim is to construct a kind of "taxonomy" of the statistical papers
by organizing and by clustering them in main themes. In this sense being
identified in a cluster means being important enough to be uncluttered in the
vast and interconnected world of the statistical research. Since the main
statistical research topics naturally born, evolve or die during time, we will
also develop a dynamic clustering strategy, where a group in a time period is
allowed to migrate or to merge into different groups in the following one.
Results show that statistics is a very dynamic and evolving science, stimulated
by the rise of new research questions and types of data
Multinomial Inverse Regression for Text Analysis
Text data, including speeches, stories, and other document forms, are often
connected to sentiment variables that are of interest for research in
marketing, economics, and elsewhere. It is also very high dimensional and
difficult to incorporate into statistical analyses. This article introduces a
straightforward framework of sentiment-preserving dimension reduction for text
data. Multinomial inverse regression is introduced as a general tool for
simplifying predictor sets that can be represented as draws from a multinomial
distribution, and we show that logistic regression of phrase counts onto
document annotations can be used to obtain low dimension document
representations that are rich in sentiment information. To facilitate this
modeling, a novel estimation technique is developed for multinomial logistic
regression with very high-dimension response. In particular, independent
Laplace priors with unknown variance are assigned to each regression
coefficient, and we detail an efficient routine for maximization of the joint
posterior over coefficients and their prior scale. This "gamma-lasso" scheme
yields stable and effective estimation for general high-dimension logistic
regression, and we argue that it will be superior to current methods in many
settings. Guidelines for prior specification are provided, algorithm
convergence is detailed, and estimator properties are outlined from the
perspective of the literature on non-concave likelihood penalization. Related
work on sentiment analysis from statistics, econometrics, and machine learning
is surveyed and connected. Finally, the methods are applied in two detailed
examples and we provide out-of-sample prediction studies to illustrate their
effectiveness.Comment: Published in the Journal of the American Statistical Association 108,
2013, with discussion (rejoinder is here: http://arxiv.org/abs/1304.4200).
Software is available in the textir package for
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