What is the Negative Binomial Model?

Many research questions require healthcare economists to measure the effect of various patient, physician or market-level characteristics on specific health events.  Oftentimes, these events are discrete in nature.  For instance, doctor’s visits, ER visits, and hospitalizations are all discrete events. To properly estimate the effect of certain characteristics on a discrete event, count models are needed.  The…

Attrition Bias

If you are evaluating the treatment effect of a policy or medical intervention, does it matter if some of your subjects leave the sample? In many cases, the answer is ‘yes’. The Problem As outlined in Grasdal (2001), the effect of the treatment is simply: Δ = E(Y|X, T=1) − E(Y|X, T=0) However, in some…

Biases

All economists are familiar with the problem of selection bias.  In non-randomized samples, patients may choose to be in either the treatment or control group based on factors which are also related to the outcome of interest.  Even if researchers can design a study that fully controls for selection bias, robust studies must also account…

Quantile Regressions

Understanding quantiles is fairly intuitive. A physician would rank in the τth quantile of in terms of quality of care if he performs better than the proportion τ of the reference group of physicians and worse than the proportion (1–τ). For physicians at the median, half of physicians will perform worse than this doctor and…

Duan’s Smearing Estimator

The Problem Many times, researchers wish to transform the dependent variable of a regression in order to estimate parameter values.  Performing the transformation, however, complicates the calculation of the expected value of the dependent variable on the untransformed scale.  Assume, the Yi is the dependent variable. Assume the function g is used to transform the…

Finite Population Correction

Asymptotic theory has played a large role in the development of many recent econometric methods. For instance, the central limit theorem states that distribution of the mean drawn from any large samples is approximately normally distributed. Asymptotic theory, however, generally assumes that sampling occurs infinitely and with replacement. In the real world, populations are not…