Unbiased Analysis of Today's Healthcare Issues

AA and selection bias

This video that discusses whether alcoholics anonymous actually improves the outcomes of alcoholics who attend the meeting.  More broadly, the video the AA treatment effect discussion serves as an example for expounding on some fundamental statistical issues such as selection bias, randomization, intention to treat, marginal effect, instrumental variables, and others.

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Trends in Life Expectancy among Older Americans, by Race

It appear that most of the gains in longevity and reductions in disability among elderly Americans accrued to Caucasians. Using data from the 1982 and 2004 National Long Term Care Surveys and the 2011 National Health and Aging Trends Study, Freedman and Spillman (2016) find the following: We examine changes in active life expectancy in […]

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US Healthcare Spending Projections

In 2016 we will hit a milestone: national health spending per capita is projected to exceed $10,000 for the first time.  This estimate is from an article by Keehan et al. (2016).  In this paper, CMS’ Office of the Actuary (OACT) estimates costs not only this year but over the coming 10 years.  According to their projects, […]

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The Intuition behind Bayes Theorem

Bayes Theorem is well-known in law of probability. Mathematically, you could write it as: P(A|B)=P(A and B)/Pr(B) = P(B|A)*P(A)/P(B). An interesting interview in Scientific American with Decision theorist Eliezer Yudkowsky explains Bayes Theorem more intuitively. I might answer that Bayes’s Theorem is a kind of Second Law of Thermodynamics for cognition. If you obtain a […]

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Average prevalence of “sickness”

Despite the large number of illnesses defined by the International Statistical Classification of Diseases and Related Health Problems (ICD) disease coding system, health systems need to know how many encounters they are likely to experience each month. One gauge for this is the prevalence of sickness in the population. A paper by White et al. […]

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Confirmation Bias

HT: Incidental Economist.

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What are cure fraction models?

Many people are familiar with survival models. Survival models measure the probability of survival to a given time period. The “problem” addressed by these models is that some people are “censored”, in other words, the do not die in the sample time period. Although longer survival is good in practice, for statisticians it is problematic […]

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How much should you bet?

This is an interesting question to ask.  If you are going to the casino, in most cases, the answer is $0.  The odds are stacked against you.  But what if the odds are in your favor, or you believe that your own predicted probability of winning differs from that of the bet? The easy answer […]

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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 […]

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Test for equality of categorical varibles

In the standard statistics case, when you compare two continuous variables, you can use a t-test to determine equality of means.  For instance, you may want to know if LeBron James scores more points on average than Kevin Durant. However, what if you want to instead compare two categorical variables.  For instance, assume you are […]

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