Fixed vs. Random Effects in Meta-Analyses

What does fixed effects and random effects mean? For economists, fixed effects means The fixed effects model is a linear regression of y on x, that adds to the speci cation a series of indicator variables.  For example, one could include a series of country dummies in comparative time series cross-sectional data to account for unexplained…

Effective Sample Size

Consider the case where you have observations on the IQ of six individuals.  Let say that three of the individuals are from California and three are from Florida.  Assume the following data structure: California: 90, 110, 130 Florida: 95, 100, 120 In this case, the mean IQ nationally is 107.5, the variance of the sample…

Statisitics and the Sports Illustrated Jinx

Daniel Kahneman explains the false inference many people make between causation and regression to the mean. A well-known example is the “Sports Illustrated jinx,” the claim that an athlete whose picture appears on the cover of the magazine is doomed to perform poorly the following season.  Overconfidence and the pressure of meeting high expectations are…

Is Quality of Care within a Hosptial Homogeneous?

According to a paper by Zhang, Hauck and Zhao (2013), the answer is ‘no‘.   Using a Bayesian approach (i.e., three-level random intercept probit mode) the authors find that different specialties within the same hospital can provide very different quality of care to the patients.  The authors summarize their findings as follows: Of the variation in…

Treatment Heterogeneity

The advent of treatment guidelines and pay-for-performance may be a good thing for the “average” patient.  However, not all patients respond the same way to given treatments.  Thus, just because a treatment benefits the average patient, does not mean that the treatment is beneficial for a given individual patient. This phenomenon is known as treatment…

IV or OLS?

When conducting a regression-based analysis, how can you determine whether an instrumental variables (IV) method is better than an ordinary least squares (OLS) method?  A paper by Basu and Chan (2013) describes one approach based on measuring which of the approaches most successfully reduces the mean square error (MSE) of the coefficient of interest.  IV…

How to implement propensity score matching

What options are available for propensity score matching algorithms?  Baser (2006) describes a number of popular options. Stratified Matching.  In this method, the range of variation of the propensity score is divided into intervals such that within each interval, treated and control units have, on average, the same propensity score. Differences in outcome measures between…