Significance Tests as Leading Questions

Under the common law, lawyers are not allowed to ask witnesses “leading questions,” as witnesses can be influenced by the way questions are asked. A leading question is one that suggests a particular answer, for instance, “Were you at the country club on Saturday night?” is a leading question, while, “Where were you on Saturday night?” is not.

Econometricians should be as careful as lawyers when questioning the most unreliable of all witnesses: economic data. Most statistical software will automatically spit out t-tests for whether the coefficients in regression models equal zero. This is equivalent to asking the data, “Data, given these modelling assumptions, can you deny with 95% certainty that this coefficient equals zero?” That’s a leading question, and the econometrician shouldn’t ask it unless he has special reason to suspect that the coefficient is zero. Continue reading Significance Tests as Leading Questions

Louis XIV Lives On

When calico printed cloth was introduced to Europe, the French government banned it. They employed gestapo-style tactics to stamp out the new innovation. Here’s Murray Rothbard’s summary of the fiasco, from his excellent An Austrian Perspective on the History of Economic Thought (vol. 1, p. 219):

The new cloth, printed calicoes, began to be imported from India in the 1660s, and became highly popular, useful for an inexpensive mass market, as well as for high fashion. As a result, calico printing was launched in France. By the 1680s, the indignant woollen, cloth, silk and linen industries all complained to the state of ‘unfair competition’ by the highly popular upstart. The printed colours were readily outcompeting the older cloths. And so the French state responded in 1686 by total prohibition of printed calicoes: their import or their domestic production. In 1700, the French government went all the way: an absolute ban on every aspect of calicoes including their use in consumption. Government spies had a hysterical field day: ‘peering into coaches and private houses and reporting that the governess of the Marquis de Cormoy had been seen at her window clothed in calico of a white background with big red flowers, almost new, or that the wife of a lemonade-seller had been seen in her shop in a casquin of calico’. Literally thousands of Frenchmen died in the calico struggles, either being executed for wearing calicoes or in armed raids against calico-users.

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Mises, Probability, and the Two Envelopes Problem

In Human Action, Mises distinguishes between what he calls “class probability” and “case probability.” He defines class probability as such:

Class probability means: We know or assume to know, with regard to the problem concerned, everything about the behavior of a whole class of events or phenomena; but about the actual singular events or phenomena we know nothing but that they are elements of this class.

This is the ordinary sort of probability. We reach into an urn containing seven red balls and two white balls, so the probability of choosing a red ball is 7:2. We can say this because we have knowledge about the class of balls in the urn. Mises distinguishes this from case probability:

Case probability means: We know, with regard to a particular event, some of the factors which determine its outcome; but there are other determining factors about which we know nothing.

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