Introduction to Statistical Inference - Harvard University
Data and computing revolutions in the 21st century The world is stochastic rather than deterministic Probability theory used to model stochastic events ... Descriptive inference: becoming increasingly important in the age of data revolution Predictive inference: under-utilized in social sciences but could be
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Basic Principles of Statistical Inference
imai.fas.harvard.eduBasic Principles of Statistical Inference Kosuke Imai Department of Politics Princeton University POL572 Quantitative Analysis II Spring 2016 Kosuke Imai (Princeton) Basic Principles POL572 Spring 2016 1 / 66
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Causal Directed Acyclic Graphs - Harvard University
imai.fas.harvard.eduCausal Directed Acyclic Graphs Kosuke Imai Harvard University STAT186/GOV2002 CAUSAL INFERENCE Fall 2019 Kosuke Imai (Harvard) Causal DAGs Stat186/Gov2002 Fall 20191/16. ... 1 Identify all paths from any vertex in A to any vertex in B 2 Check if each path isblocked 3 If all paths are blocked, then A is d-separatedfrom B by C
A General Approach to Causal Mediation Analysis
imai.fas.harvard.eduapproach to the panel data settings (e.g., Cole & Maxwell, 2003; MacKinnon, 2008, Chapter 8), and multiple (e.g., MacKinnon, 2000; Preacher & Hayes, 2008) and multilevel (e.g., Krull & MacKinnon, 1999) mediators, all of which are beyond the scope of the current article. A Running Example: The Job Search Intervention Study (JOBS II)
POL 571: Convergence of Random Variables
imai.fas.harvard.edumodel because in theory one can obtain the infinite number of random sample from the population (hence, the population size is infinite). In the social sciences, this often requires one to think about ... implies that the marginal distribution of X i is the same as the case of sampling with replacement. 1.
POL571 Lecture Notes: Expectation and Functions of Random ...
imai.fas.harvard.eduFinally, we emphasize that the independence of random variables implies the mean independence, but the latter does not necessarily imply the former. Theorem 2 (Expectation and Independence) Let X and Y be independent random variables. Then, the two random variables are mean independent, which is defined as, E(XY) = E(X)E(Y).
Measuring the Economic Impact of Civil War
imai.fas.harvard.edu5 Improving Estimation 13 ... Wars that spill out across the entire country, require the highest level of military recruitment, and result in the greatest number of fatalities are the most damaging to the domestic economy. This paper also makes methodological improvements. First, we improve the data.
mediation: R Package for Causal Mediation Analysis
imai.fas.harvard.edumediation analysis under the assumption of sequential ignorability. Many of these function-alities are described in detail inImai et al. (2010b), but the current version of the package accommodates a larger class of statistical models. The model-based causal mediation analysis proceeds in two steps. First, the researcher speci-
Analysis, Packages, Mediation, Casual, Package for causal mediation analysis
Survival Data Analysis - Harvard University
imai.fas.harvard.eduKing, Alt, Burns, and Laver (1990). AJPS Censoring: 12 months prior to the end of the constitutional inter-election period Is censoring independent? Kosuke Imai (Princeton) Survival Data POL573 Fall 2015 8 / 39
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