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Money and Markets: Essays in Honor of Leland B. Yeager

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Good ideas <strong>and</strong> bad regressions 75Let us exam<strong>in</strong>e how aspects <strong>of</strong> the LT regression model fit my characterization<strong>of</strong> PC empirical research. We exam<strong>in</strong>e LT for the follow<strong>in</strong>g: (1) absence <strong>of</strong> astructural model; (2) many proxy variables; (3) a proxy variable search; <strong>and</strong> (4)absence <strong>of</strong> advanced econometric methods.1. No structural model. Throughout their paper LT talk about production functions<strong>and</strong> markets. These are familiar concepts to us all, but the actual empirical workbears little resemblance to any <strong>of</strong> these constructs. LT estimate a s<strong>in</strong>gle equationmodel with citations as the dependent variable <strong>and</strong> article length, author citations,<strong>and</strong> several <strong>in</strong>dicators <strong>of</strong> bad writ<strong>in</strong>g as <strong>in</strong>dependent variables. There is no connectionto production, supply, or dem<strong>and</strong>. 9 The result is a “pro forma reduced form”model.Us<strong>in</strong>g the theory–model dist<strong>in</strong>ction discussed by Holcombe, one can see that thegap between production functions, markets, <strong>and</strong> the LT empirical work is large.Although many economic concepts are discussed <strong>in</strong> the LT paper, no structuralmodel is presented. This is a characteristic <strong>of</strong> research <strong>in</strong> the sociology <strong>of</strong>economics.2. Proxy variables. All <strong>of</strong> the variables used <strong>in</strong> the LT regression model are proxies.Citations is a proxy for quality or value. The follow<strong>in</strong>g are all proxies for writ<strong>in</strong>gquality: words per sentence, number <strong>of</strong> footnotes, number <strong>of</strong> footnotes that <strong>in</strong>terruptsentences, use <strong>of</strong> “bad words” such as “like” <strong>and</strong> very,” the use <strong>of</strong> “five-dollar”words, the use <strong>of</strong> “is,” the use <strong>of</strong> rhetorical questions, the presence <strong>of</strong> table <strong>of</strong>contents paragraphs, <strong>and</strong> excessive <strong>in</strong>troduction <strong>and</strong> summariz<strong>in</strong>g.3. Proxy variable searches. LT do not appear to spend much time on a proxy variablesearch, probably because they found a publishable result quickly, but their Table 1does <strong>in</strong>dicate two alternative measures <strong>of</strong> poor writ<strong>in</strong>g: Bad Footnotes <strong>and</strong> Percent BadFootnotes.4. Advanced econometrics. I have stated earlier that advanced econometric methodsare <strong>of</strong>ten not used because the problems associated with estimat<strong>in</strong>g a pro formareduced form conta<strong>in</strong><strong>in</strong>g proxies <strong>and</strong> searched over proxies will discourage othersfrom provid<strong>in</strong>g advice or assistance. I <strong>of</strong>fer a suggestion about how the LT papermight be improved but also freely admit that I, <strong>and</strong> I suspect others, can generatelittle enthusiasm for the undertak<strong>in</strong>g. The nature <strong>of</strong> the dependent variable affordsthe opportunity to apply a limited-dependent variable model. The dependentvariable <strong>in</strong> the LT paper is the number <strong>of</strong> citations to a journal article. As this is an<strong>in</strong>teger, estimation by OLS will lead to unbiased but <strong>in</strong>efficient estimation. What is<strong>of</strong>ten done <strong>in</strong> this case is to estimate a limited-dependent variable model known asa Poisson regression (see Maddala 1983: 51). This model is easy to estimate us<strong>in</strong>gthe LIMDEP s<strong>of</strong>tware.However, the absence <strong>of</strong> a Poisson regression from the LT paper is not the po<strong>in</strong>t.Had this been a paper <strong>in</strong> labor economics or <strong>in</strong>dustrial organization, the referees

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