Voter Dropo¤ in Low–Salience Elections Richard Sinnott University College Dublin Dublin, Ireland [email protected] Christopher H. Achen Department of Politics Princeton University Princeton, NJ 08544 USA [email protected] April 30, 2008 Abstract Arend Lijphart has revived interest in the social class interpretation of Herbert Tingsten’s (1937) “law of dispersion,”by which lower turnouts result in more socioeconomically biased electorates. States. Lijphart refers to the law as “clear, strong, and well known” in the United Indeed, we demonstrate that a generic version of Tingsten’s Law follows from a standard probit model of voter turnout with constant coe¢ cients, so that we can give a modern interpretation and derivation of Tingsten’s claim. Surprisingly, however, we show that neither in the U.S. nor in Europe do turnout data give much support to the Lijphart’s social class interpretation of the law. We argue that previous enthusiasm for Tingsten’s Law has resulted from a misinterpretation of Tingsten’s data, and that his law holds, though not Lijphart’s version of it. In the modern era, Tingsten’s Law may be seen at its clearest in the behavior of inexperienced voters like the young, not the disadvantaged. Low voter turnout means unequal and socioeconomically biased turnout. This pattern is so clear, strong, and well known in the United States that it does not need to be belabored further....There is, however, abundant evidence of the same class bias, albeit usually not as strong, in other democracies. –Arend Lijphart (1997, 2), APSA presidential address Introduction1 Reviving a thesis due originally to Herbert Tingsten (1937, 230-231), Arend Lijphart (1997) has suggested that low salience elections make it harder for those with low resources to get to the polls, thereby increasing social class and income bias in the active electorate. Thus, for example, U.S. midterm electorates would be more biased toward the prosperous than presidential electorates, and European Parliament electorates more biased than national electorates. Most importantly, U.S. electorates would be more socioeconomically biased than virtually all European electorates. The potential consequences are dramatic. By shifting the median voter position toward more prosperous citizens, biased turnout might move social policy to the right. For example, low American midterm turnout would help account for Republican success in Congressional elections. More importantly, the small American welfare state relative to those of Europe would be explained in part by low American voter turnout among the poor. Moreover, weak representation of the American poor might be no accident. If turnout has large consequences, the prosperous might have noticed the relationship and done something to hold turnout down. Some left–wing scholars have come to see American registration requirements and diminishing turnout as a century–long e¤ort in which elites “have exerted themselves to forge and maintain electoral institutions that have kept the franchise limited to those who were at least somewhat better o¤” (Piven and Cloward 1988, 254). 1 This research was partially supported by a research leave to the second author from the Department of Politics, Princeton University. Thanks are owed to Je¤ Herbst for arranging the leave time. We have bene…ted from numerous helpful suggestions and corrections from many colleagues, especially Larry Bartels at Princeton, and from all the members of the Multi-Level Elections Project. The second author also wishes to thank Arend Lijphart for taking time nearly four decades ago to chat about voting rules with a student who was foolishly not enrolled in his class but had come to his Berkeley o¢ ce hours anyway. The grant money for the multi-country survey research and aggregate data analysis was provided by the Fifth Framework of the European Union. We express our thanks to all these people and organizations. Of course, remaining errors are our own. The order of the authors’names was determined randomly. 1 Far from being a trivial issue, therefore, voter turnout might be the key to fundamental features of national political life and a source of substantial cross–national di¤erences in governmental structures. In summarizing the evidence, Lijphart (1997, 1) begins robustly, presenting two propositions as beyond doubt: . . . as political scientists have known for a long time, participation is highly unequal. . . . as political scientists have also known for a long time, the inequality of representation and in‡uence are not randomly distributed but systematically biased in favour of more privileged citizens –those with higher incomes, greater wealth, and better education –and against less advantaged citizens. In presenting further support for his thesis, Lijphart (1997, 2-3) cites a great many other studies, beginning with Gosnell (1927) and extending through the contemporary period, which demonstrate the “general rule that the voting frequency rises with rising social standard” (Tingsten 1937, 155). Lijphart cites Lipset (1960, 182): “The better educated vote more than the less educated; . . . higher status persons more than lower.” Lijphart (1997, 3) then adds, after reviewing similar …ndings from a many other scholars, “More than three decades later, these conclusions are clearly still valid.” Lijphart is undoubtedly correct here. Indeed, no one is likely to dispute the claim that the more prosperous and the more advantaged vote more often in virtually every election in virtually every country. Most of the facts cited in Lijphart’s article have this character. The problem, unfortunately, is that this evidence has no bearing on Tingsten’s Law. What Tingsten argued was a di¤erent and stronger proposition: Turnout biases get worse as turnout declines. As Lijphart’s (1997, 1) puts it, “. . . over time, the level of voting participation and class inequality are strongly and negatively linked.” As we will show, Lijphart gives only fragmentary and unpersuasive evidence for this proposition, the heart of his argument. In short, Lijphart argues that Tingsten’s Law holds in a wide variety of countries and that its policy consequences are substantial, even grave. The evidence for it, he says, is well known and overwhelming. Following Tingsten (chap. 4), Lijphart (1997) is driven to proposing compulsory voting as a solution to the biased electoral outcomes in the United States. On this view, Tingsten’s Law deserves a good deal more attention from political scientists than it has yet received. 2 Using American and European data, we show that Tingsten’s Law does not hold in modern electorates. We develop a simple model that shows why the law once held for European electorates (though not for the reasons usually supposed), and why it no longer holds. Finally, we argue that we will need more theoretical sophistication about turnout before we can understand class biases at the polls. The Linear Probit Model and Tingsten’s Law Tingsten (1937, 230) states his “law of dispersion” this way: “the dispersion (the di¤erences) in regard to participation in an election or within a certain group, is smaller the higher the general participation is.” Tingsten had already shown in earlier chapters that when the overall participation rate was 90% or more in various European elections, for example, both the middle class and the workers participated at high percentage rates not too di¤erent from each other. On the other hand, when participation was much lower, larger gaps in participation percentages tended to open up. Some of the e¤ects he discussed are quite large. For instance, the fraction of workers in the Prussian electorate doubled (from 15% to 30%) as overall turnout rose from 18% to 30% in the 1893-1913 period. Put the other way around, worker turnout drops in low salience elections in this period were fully …ve times as large as those of the upper classes (Figure 1). A di¢ culty with his argument occurs when turnouts are large, as Tingsten immediately recognized following the passage just cited. In that case, the rules of arithmetic essentially guarantee his law. For example, if an electorate turns out at a 95% rate, and if manual workers are 50% of the population, then as a mathematical certainty workers have to be participating at 90% or more. If the middle class participates more than the workers, the participation gap between them cannot exceed ten percentage points, no matter what. By contrast, if the overall participation rate is 50%, much larger gaps are possible. On this interpretation of Tingsten’s Law, then, his result is not a social science discovery, but a fact of arithmetic. The ‡oor and ceiling e¤ects in percentage data create pseudo–e¤ects and bedevil statistical interpretation. Hence for several decades now, turnout has been studied, not with percentages, but with the probit or logit models that have been developed since Tingsten wrote. Researchers think of these models as closer to the actual processes at work in dichotomous data such as turnout, in which people either vote or do not. For example, we often suppose that turnout varies according to the perceived visibility and importance of 3 the campaign (“campaign intensity”), but that workers have less time to follow politics, or less education, or weaker social networks, or less stake in the contest between two middle– class candidates. If the e¤ect on workers is additive (i.e., subtractive), then conventionally, we would analyze survey data on turnout with a simple, linear–in–variables probit model like this one: yi = + 1 (Campaign Intensity) + 2 (Worker) + ui (i = 1; :::; n) (1) where Campaign Intensity is a measure of the salience of the election to the populace, and Worker is a dummy variable indicating whether the observation pertains to a manual worker (1 = worker; 0 = non–worker). The dependent variable yi is an unobserved continuous measure of the respondent’s willingness to vote or utility from doing so, ; 1; and 2 are unknown parameters to be estimated, and ui is the disturbance term, assumed to have a standard normal (Gaussian) distribution independent of the right–hand–side variables. For simplicity, we suppress listing other variables in‡uencing turnout, so that the variable Worker is meant to capture a descriptive fact, not necessarily a causal e¤ect. Now, letting yi be the survey respondent’s turnout decision (1 if he or she voted, and 0 otherwise), we assume: yi = ( 1 if yi 0 0 otherwise (2) It follows by standard textbook logic that: Pr(yi = 1) = where z= (z) (3) (:) is the (cumulative) distribution function of the standard normal curve and + 1 (Campaign Intensity) + 2 (Worker). This is the setup researchers use when they model turnout with probit analysis. As is well known, the logit model is very similar, virtually indistinguishable in practice, apart from a change of scale for the coe¢ cients. Now the advantage of probit and logit models, as any econometrics text will explain, is that they abolish the ‡oor and ceiling problem for dichotomous data. By stretching the ends of the scale, they make small percentage changes near 0% and 100% equivalent to larger changes near 50%. And of course, this corresponds to our substantive understanding of politics, in which raising a voter’s turnout probability from 50% to 55% is much easier 4 than raising it from 90% to 95%. To view Tingsten’s Law in contemporary perspective, then, we need to know the e¤ect of changes in Campaign Intensity on turnout by Workers and Non-Workers. For expositional convenience in the following hypothetical examples, we will assume that everyone who is not a worker is middle class, so that there are just two groups in the population. Furthermore, we take 2 < 0, so that workers are always less inclined to vote. As Campaign Intensity declines, how do the relative proportions of workers and middle class citizens in the electorate change? Now the …rst thing to understand is that the necessary calculation cannot be done simply by comparing percentage drops from one election to the next, as Tingsten did originally. As a hypothetical example, suppose that the workers and the middle class are each half the population. Suppose that the middle class vote at a 90% rate in presidential elections, while the workers vote at only a 50% rate. Then the middle class will enjoy the ratio 9:5 in the presidential electorate, meaning that they make up 64% of the population. Now suppose that in midterm elections, the middle class votes at a 78% rate, a drop of 12 percentage points. The workers turn out at a 40% rate, a drop of only 10 percentage points. In percentage terms, therefore, middle class dropo¤ has been higher. However, the middle class will now predominate by the ratio 78:40 in the midterm electorate, or 66%. Thus the midterm electorate is more socioeconomically biased than the presidential version. Yet the middle class percentage dropo¤ is larger.2 What this example shows is that dropo¤s are relative to their starting points. A drop of 12 percentage points from 90% is a drop relative to the starting position of 12/90 = 13.3%, while a drop of 10 percentage points for the workers is a relative drop of 10/50 = 20%. Thus workers have dropped less in absolute terms, but more in relative terms, and they have lost ground. And of course, this makes sense: If all groups dropped the same relative proportion from presidential to midterm elections, obviously their representation in the electorate would be unchanged. It is the percentage dropo¤ relative to prior levels that determines whether socioeconomic bias goes up or down. To determine whether Tingsten’s Law is consistent with the simple linear version of the probit model, therefore, we want to examine changes in Pr(yi = 1) as a function of 2 Converting to the probit or logit scale does not change this result. The 12% middle class dropo¤ remains larger on those scales than the 10% dropo¤ of the workers–in fact, it becomes proportionately even larger–while still increasing the over–represenation of the middle class bias of the resulting electorate. Thus converting to probit and logit does not evade the problem. 5 Campaign Intensity. Moreover, the computation needs to be done relative to the starting value. For an in…nitesimal drop or rise, therefore, the absolute value of the proportionate change is: Relative Drop @ Pr(yi = 1)=@(Campaign Intensity) Pr(yi = 1) = @ ( + 1 (Campaign Intensity) + 2 (Worker))=@(Campaign Intensity)= (z) = = 1 (z)= (z) (4) where (z) is the density of a standard normal curve at the point z =Campaign Intensity: The issue now is whether Relative Drop falls as the vote total rises, or equivalently, whether the partial derivative of Equation (4) with respect to z is negative. Rather than take a further partial derivative, however, we note that (z)= (z) is closely related to the inverse Mills ratio, (z)=[1 (z)]; which is well known in econometrics, since Heckman’s (1976) work, as the mean of a lower–truncated normal distribution. That is, letting E be the expectation operator for a standard normal distribution, we have3 : E (xjx z) = 1 R x=z 1 R x (x)dx (x)dx x=z = (z)=[1 (z)] (5) But since the mean of the lower–truncated distribution is obviously a positive, strictly increasing function of the truncation point z, it follows that: @[ (z)=[1 (z)]=@z > 0 (6) This inequality may also be demonstrated, though at somewhat greater length, by customary calculus methods. Then by standard properties of a symmetric distribution, (z)=[1 (z)] = ( z)=[ ( z)], which obviously has the same derivative as (z)=[ (z)] but with the sign reversed. Hence Equation (6) implies that @(Relative Drop)/@z = @[ (z)=[ (z)]=@z < 0; meaning that the larger the proportion of the vote with which one begins, the smaller the proportionate drop 3 If x is the argument of a normal distribution truncated from below at z, then make the change of variable y = x2 =2; and the proof follows easily. 6 when Campaign Intensity falls. But of course, that is Tingsten’s Law. What we have shown, then, is that the standard probit models we use to study turnout imply Tingsten’s Law. If socioeconomic status helps get people to the polls and if our probit models are correct, then lower turnout electorates should be more biased socioeconomically. It is not too hard to show that the same is true if our logit models are correct: Tingsten’s Law follows in that case as well. Thus we have a happy coincidence: Our standard statistical models imply a striking …nding buttressed by “clear, strong, and well known” facts. Nearly all political scientists favor large turnouts, most of us like our scienti…c evidence and our familiar linear statistical models, and many of us express sympathy for the disadvantaged. When it turns out that all these proclivities are compatible with Tingsten’s Law, the mind comes to rest. For Europeans and Europhiles generally, for whom this conceptual package also implies that Europe is a much better place than the United States in this regard, the temptation to acquiesce will be nearly irresistible. That is what the political science profession as a whole has done. Just How Strong Is the Evidence? Nearly drowned out by our conventional work habits and our political predilections, though, the tiny voice of scienti…c caution raises a question: Is Tingsten’s Law actually true? After all, the linear statistical model with which we derived it has no theoretical backing. It is merely familiar because our canned computing packages make it easy to use. Moreover, the empirical evidence is very thin. Tingsten’s own investigation remains extremely impressive, but of necessity, he focused on inexperienced voters in new democracies more than 75 years ago, a group that is of limited relevance in the major democracies today. (We return to this point below.) In the contemporary work Lijphart cites, the crucial di¢ culty is that correlations between social class and voter turnout, of which Lijphart makes so much, are simply irrelevant to Tingsten’s Law. Their relationship was well known in Tingsten’s time, and announcing them would not have been newsworthy. Rather, his law says that those correlations strengthen as turnout declines. (In calculus language, Tingsten’s Law concerns @ 2 Individual Turnout=@Social Class @National Turnout, not what most of Lijphart’s evidence bears on, namely @Individual Turnout=@Social Class.) Similarly, Lijphart quotes a good deal of evidence about how forms of participation other than voting are unequal, but however regrettable, that, too, is irrelevant to the point at issue. 7 Apart from the immaterial evidence in Lijphart’s article, only Rosenstone and Hansen (1993, 228-248) actually bear on Tingsten’s Law. Their …rst item of evidence, taken from the American National Election Studies, compares elections between 1952 and 1988: When [relatively] many citizens turn out to vote, they are more representative of the electorate than when fewer people vote. . . . Class equality4 in participation was greatest in the high-turnout elections of the 1960s and least in the low turnout elections of the 1980s. As turnout declined between 1960 and 1988, class inequalities multiplied (Rosenstone and Hansen 1993, 238 and 241). However, that relationship turns out to be almost entirely driven by two extreme elections in 1960 and 1988–the …rst with heavy working–class turnout stimulated (pro and con) by John Kennedy’s Catholicism, and the latter with working–class turnout depressed by the chilly technocratic Democratic candidate, Michael Dukakis. Neither year’s pattern has much to do with the forces Tingsten identi…ed. Without those two elections, the relationship in the other conventional eight cases vanishes, with no evidence for Tingsten’s e¤ect. The second way Rosenstone and Hansen assess the impact of turnout on inequality in the electorate is by comparing average midterm and presidential elections during the same period. Here they …nd that the typical 15 percentage point drop between these two types of American elections has only a small e¤ect when voter resources are measured by income, and virtually none at all when it is measured by education. For example, suppose that the upper …fth of the population turn out at 80% in presidential elections while the lowest …fth is at 50%. Then let the two sides drop to 65% and 35% at the midterm, with intermediate income groups dropping at rates in between. Then the upper …fth has increased from a 61.5% share of the two groups at the presidential election to 65% at the midterm— a 3.5 percentage point di¤erence at the extremes of the income distribution, with even smaller di¤erences in between. Translated from the index they use (Rosenstone and Hansen, 1993, Appendix F), this change is the same size as Rosenstone and Hansen …nd with respect to income in American elections. The education e¤ect they discover is only about one …fth as large— meaning less than a percentage point change in the above example, if indeed the 4 Lijphart has “inequality” here for “equality,” but this is obviously a typo. We have corrected the text to match Rosenstone and Hansen’s original language. 8 e¤ect is statistically signi…cant at all. Thus all these e¤ects are quite small, well below the dramatic gaps Tingsten found. Since Tingsten, these two investigations by Rosenstone and Hansen constitute the sum total of the “clear, strong, and well known” relevant evidence cited in Lijphart’s article, which he argues “does not need to be belabored further.”Now of course, the fact that we are presented only with small amounts of mixed evidence need not mean that no relationship exists. But it surely does call for cautious interpretation. Before resting on our ideological, partisan, and national loyalties, therefore, we might look a bit further. That is what we propose to do next. Does Tingsten’s Law Hold in the U.S.? To muster evidence for Tingsten’s Law, the …rst step is to avoid cheap comparisons across continents. Yes, the percentage turnout di¤erences across social classes are larger in the U.S. than in the average European country, and yes, turnout is lower in the U.S. than in Europe generally, so that yes, those two variables correlate nicely. Regressions run with two data points always …t very well indeed. Indeed, R2 = 1: But for persuasive arguments, we have to do better. Hence we turn to comparisons within continents and within countries, beginning with the U.S. To an unusual degree, we may con…ne ourselves to purely descriptive relationships. For Tingsten’s Law makes no causal claims. It simply says that, as an empirical fact, when turnout declines in a political system, so does representation of the disadvantaged— for whatever reason. Thus we construct no elaborate statistical models to control for myriad causal factors in voting; they are o¤–point. The issue is simply the trivariate empirical relationship: How does the relationship between social class and individual turnout change as national turnout varies? Lijphart moves back and forth among various de…nitions of socioeconomic status, including education, but in our view, whatever the true causal patterns, it is the descriptive absence of the poor that is the policy–relevant concern, not absence of the less educated. A good many prosperous people in many countries are only modestly educated, and some of the well educated have very modest incomes. When college dropout William Gates, the world’s richest man, manages to vote, while some underfunded humanities graduate student, living in a garret with her master’s degree, does not, few of us would regard Gates’s vote as a victory for the proletariat. 9 Thus we begin with income. The data throughout this section are taken from the Current Population Survey (CPS) conducted by the American Census Bureau. It achieves a response rate of more than 90% in a survey very little contaminated by other political questions, so that these are the best available data on American electorates. Figure 1 con…rms the well known income gradient with respect to recent voter turnout, both for the midterm election of 1998 and for the presidential election of 2000. There are at least 5000 observations at each data point here, so the percentages are very reliable. Clearly, the prosperous vote more often. But does Tingsten’s Law hold? That is, are the proportionate dropo¤s in turnout from the presidential to the midterm election larger for the poor, as Tingsten’s Law implies? Figure 2 shows the evidence from Figure 1, recoded in a form appropriate to testing Tingsten’s hypothesis. If Tingsten’s Law holds, this …gure should show a substantial downward slant from left to right. Indeed, the lowest category of income (on the left) is a few percentage points higher than the others, but even if we were to emphasize its modest impact, it has relatively few people in it— fewer than 10% of the population. The majority of the working class are elsewhere.5 Otherwise the relationship is quite ‡at, possibly even trending upward, thereby disadvantaging the prosperous. The poor are disadvantaged in American elections, but they do not become more disadvantaged when turnout falls. Overall, there is certainly no evidence here supporting Tingsten’s Law. Lijphart (1997) and Piven & Cloward (1988) continue a long American tradition of blaming registration requirements for imposing unnecessary burdens on the poor. However, the state of North Dakota has no registration requirements, and thus requires no action by individuals to qualify themselves for the ballot, paralleling the automatic European registration that most reformers favor. Thus speculation about the impact of abolishing registration rules can be replaced by simply taking a good look at North Dakota turnout by income class to see whether that income gradient weakens or disappears. We show their turnout by income class in Figure 3 for the presidential election of 2000, along with the national relationship. (There are more than 150 respondents in each cell except for the …rst two and the last categories, which have more than 80 apiece.) Obviously, the gradient with respect to income is substantial in North Dakota. In fact, the slope is steeper than the U.S. average. Getting rid of registration has strengthened the class bias, not weakened 5 This chart illustrates the danger of comparing just the top and bottom categories of a distribution. Rosenstone and Hansen (1993, 293-294) remark that, though they used a related procedure, taking the full distribution into account is “more sophisticated,” even when, as often, it makes little di¤erence. 10 it. Clearly, registration is not the only problem keeping the poor from the polls in the U.S. Here again is a sign that the way we think about voter turnout is fundamentally misleading. We can also assess whether Tingsten’s Law holds in North Dakota. Figure 4 shows the proportionate dropo¤ by income group from the 2000 election to the 1998 midterm election by income class. (Categories with fewer than 100 respondents are dropped.) Again there is no evidence for Tingsten’s claim. If anything, the e¤ect is reversed, with better–o¤ citizens perhaps exploiting the easy voting laws to get themselves disproportionately to the polls in presidential years. In Figure 5 we look at the state with the highest turnout level in the continental U.S. (Minnesota) and compare it to the state with the lowest turnout (West Virginia).6 If Tingsten is correct, the income gradient should rise more dramatically in low turnout states than in high turnout jurisdictions, so that the West Virginia curve should be steeper than the Minnesota curve. The relatively small sample sizes in some categories introduce some noise to the graph, but no obvious Tingsten e¤ect is apparent. The curves are roughly parallel. If the poor do better in Minnesota relative to the turnout of the prosperous, the e¤ect is not large.7 To check whether a low income, low turnout state like West Virginia might be obeying Tingsten’s Law, the better strategy is not to compare it with Minnesota (which it does not much resemble!), but rather to compare it to itself. Figure 6 gives the percentage dropo¤ of 1998 turnout as a fraction of 2000 turnout for the various income classes in West Virginia. This time the curve is completely unambiguous: No Tingsten e¤ect appears. 6 The states with the apparently highest and lowest turnout rates in the 2000 election, as judged by the CPS survey, are Alaska and Hawaii. However, both samples are quite small (fewer than 1000 respondents), and both states are disconnected from the rest of the U.S., expensive to sample well, and unusual in other ways, presenting di¢ culties of interpretation. Thus we have chosen to set them aside. We do not know whether they …t Tingsten’s Law or not. 7 The lowest income category (less than $10,000 family income per year) has been dropped in both states in both Figures 5 and 6 because there are fewer than 55 observations for it in Minnesota and fewer than 110 for West Virginia. Nationally, they are a quite mixed group, disproportionately young, female, and Latino, with students, welfare recipients, domestic workers, immigrants, institutionalized citizens, and others, jointly amounting to fewer than 10% of the population in most states. Left in, this category would show the West Virginia curve continuing downward, while the Minnesota curve is relatively ‡at at that point. This again supports the possibility that there is a small e¤ect at the very bottom of the curve, though it is di¢ cult to be certain. On the other hand, the upper category in West Virginia has fewer than 100 observations, so that the apparent catching up to Minnesota in that category (which supports Tingsten’s Law and seems to belie our argument) may easily be just sampling noise. However, we have left that category in the graph due to its importance in the debate. 11 The prosperous drop out just as much as the middle ranks, who drop out just as much as the poor. Low turnout elections do not make the class bias of the electorate worse in West Virginia.8 Checks of other states were also done, with the same general …nding. Sample sizes vary, as do the intensity of midyear elections, so that di¤erent states give slightly di¤erent results, some undoubtedly due to sampling variation and some not. But as Figure 2 shows, on average no such e¤ect exists. Because we regard education as less relevant than income, we discuss it only brie‡y here. In the U.S. as in most democracies, the young are better educated than the old, and turnout is strongly correlated with age. The young drop out more at midterms, and since they are better educated, this gives an arti…cial midterm drop at the upper end of the education scale, prejudicing the data in our direction and against Tingsten’s Law. To get a fair and meaningful test, therefore, we examine dropo¤ from presidential to midterm elections by education just among the young electorate (those 18-24 years old), where age is controlled, the dropo¤ rates are the largest in the population, and thus where the success or failure of Tingsten’s Law should be easiest to detect. Figure 7 gives the result, with each cell having at least 700 observations except for those with exactly 12 years of education and those with a graduate degree. (Those two cells have fewer than 100 respondents and should be treated with much greater caution, though they could be dropped without changing the conclusion.). Again the relationship is essentially ‡at, with no substantial tendency for dropo¤ to fall with greater education. Those who did not …nish high school (the …rst two groups) fall the farthest, but those with graduate degrees are just a few percentage points behind them. It is the middle groups that drop the least, an e¤ect not predicted by any theory. But all the di¤erences are small, as the chart shows. Recent American midterm electorates simply are not better educated on average than presidential electorates, contrary to what Tingsten’s Law would lead us to expect. 8 Again the lowest income category is absent from this chart, and there the apparent dropout was larger. The problem, though, is that 2000 turnout in this category was just 36%. Small changes in the 1998 turnout rate therefore have very large e¤ects on the dropo¤. The sample rate for 1998 was 16%, making the drop from 36% look enormous in percentage terms. However, if the drop had been 24% instead of 16%, the percentage dropo¤ would have …tted smoothly into the chart shown in the text. With the sample size available, the di¤erence between 16% and 24% is twelve people. Hence we decided to be consistent with the previous graph and drop this lowest category. Again, however, there may be a hint here that there is a small Tingsten e¤ect at the very bottom of the income scal— in the lowest 8 or 10% of the population. It is worth remembering, though, that there is clearly no such e¤ect for the great majority of the working class. 12 In summary, the evidence we have examined in the American case is one–sidedly against Lijphart’s argument. The working class is clearly disadvantaged in American electorates, but there is no tendency for them to be more disadvantaged in low–turnout elections, neither when registration requirements are in place nor when they are not. Nor is there any evidence that education works di¤erently than income. Lijphart’s arguments do not …t the contemporary United States. Does Tingsten’s Law Hold in Europe? As our sources of evidence for tackling this question we resort to three major surveys that o¤er distinctive perspectives on the problem. The three surveys are the 2002 European Social Survey (ESS), the 1994 Eurobarometer European Parliament Election Survey and the 2002 Irish Quarterly National Household Survey (QNHS). The ESS data allow us to test Tingsten’s law of increasing dispersion and Lijphart’s rendition of it ("the level of voting participation and class inequality are strongly and negatively linked") across 22 countries and more than 38,000 respondents. Graphical analysis of the relationship of turnout to occupation, education, and subjective assessment of household income shows a modest correlation— the di¤erence in turnout between the highest and lowest points on these socioeconomic scales ranges from 10 points (in the case of education ) to 14 points (in the case of occupation). But as we have repeatedly noted, evidence of this kind of relevant for discussions of electoral bias, but not for Tingsten’s Law. One key question for the law of dispersion is: What is the fate of these di¤erences when we compare countries with di¤erent levels of turnout? According to the Tingsten/Lijphart thesis, the di¤erences (i.e. the inequalities) should be much stronger in low-turnout countries. Figures 8-10 provide scant support for this proposition. In the case of occupation, the range in the highest-turnout countries goes from 10 to 19 to 15 and back up to 21 as countrywide turnout declines from 80% and over down to 60% and under— a possible rising relationship, but not a consistent one. And this pattern is the best of the lot for Tingsten’s Law. In the case of education (Figure 9), the di¤erences are smaller than for occupation, and the trend is inconsistent (12 to 8 to 9 to 18). And in the case of subjective assessment of household income, there is no evidence of a strengthening of the relationship between socioeconomic inequalities and turnout as we move from the highest to the lowest turnout countries (Figure 10). Because it is conducted in all countries at more or less the same time, the ESS su¤ers 13 from the disadvantage that the question on turnout was asked with varying lapses of time from the date of the national election in question. Our next source of evidence— the 1994 Eurobarometer European Parliament Election Survey— overcomes this problem to some extent in that it provides a measure of self–reported dropo¤ based on a survey conducted immediately after a low salience election that occurred at the same time in all the countries involved. This can be expected to reduce the error that might be involved in respondents’ recall of whether they voted. Tables 1 and 2 show the relationship between dropo¤ in the European Parliament election of 1994 and education and occupation respectively (again excluding countries with compulsory voting). It is clear that there is some relationship: Dropo¤ is less likely among those with the highest level of education and those with professional and managerial occupations. However, the relationship is slight – a matter of seven or eight percentage points from one end of the occupational/educational spectrum to another. The Irish QNHS survey allows us to look at both education and political knowledge as causes of turnout and voter dropo¤. However, as Table 3 for Ireland shows, the relationship between voter dropo¤ and education is non-monotonic and weak.9 And as Table 4 shows, the relationship in Ireland between occupation and either turnout or voter dropo¤ is erratic, with manual workers voting less and dropping out frequently, but also with farmers, generally poorly educated and poorly paid, voting as often as the professional and managerial class. Again, Lijphart’s argument fails to predict data well. The QNHS data do suggest something else of real importance for Tingsten, however. First, They show that the level of political information (measured by frequency of reading about politics/current a¤airs in a national newspaper) is a more powerful, monotonic predictor of turnout than either occupation or education. Turnout is 63 per cent among those who pay no attention to politics/current a¤airs in a national newspaper, compared to 89 per cent among those who read about politics/current a¤airs in a national newspaper everyday (see Table 5). More importantly from the point of view of this paper, the rate of dropo¤ declines from 30 per cent among those paying no attention to politics and current a¤airs to 9 per cent among those who pay such attention everyday (Table 5) .10 Of course, social class and education are somewhat correlated with political engagement in Ireland, 9 Voter dropo¤ was measured in the QNHS by the response "voted in some of them", to the question "Thinking about all types of elections –local, Dáil, presidential and European –that have been held since you became eligible to vote, would you say that you voted in all or almost all of them, voted in some of them, voted in none of them, etc. . . "). 10 We believe that survey non-response does not change this …nding. See the appendix. 14 but not very strongly in Ireland. This table suggests that it is political engagement, not social class, that is fundamental to understanding turnout. We can summarize the evidence from the European surveys by noting …rst that the data from the …rst (2002) round of the European Social Survey provide scant support for the key proposition that, as the level of turnout in a country falls, the relationship between voting and socioeconomic status strengthens. Focusing directly on the issue of voter dropo¤, the 1994 Eurobarometer evidence likewise shows only very modest socioeconomic disparities. Then, in the case of Ireland, a very large scale survey indicated that the relationship between lower socioeconomic resources and either turnout as such or voter dropo¤ is very modest. This brings us to the question of the impact of knowledge and political information. Our …rst pass at this issue using Eurobarometer failed to show the kinds of contrasts that were evident in the American data. However, both turnout and dropo¤ showed substantial contrasts across levels of political knowledge and, even more so, across levels of political engagement in the Irish case. Similar analyses we have done elsewhere show just the same e¤ect in American data (Achen and Sinnott 2009, chap. 12). In sum, we …nd that Tingsten’s Law is best applied, not to social class as Lijphart suggests, but rather to levels of political engagement. In our view, that is closer to Tingsten’s own views, since he applied the argument to gender di¤erences, which are unrelated to class. In the …nal section, we explain where this result brings us out in understanding both Tingsten and Lijphart. Conclusion If we are correct, the Lijphart thesis needs considerable amendment and reinterpretation before it can be incorporated into the body of standard …ndings about voter turnout. We have reached two conclusions: First, if the resource model of turnout is correct, Tingsten’s Law will hold. Second, we have demonstrated that if our standard models for turnout are correct, Tingsten’s Law follows as a mathematical consequence. What we have also found, however, is that Tingsten’s Law holds only erratically. Sometimes lower turnout elections reduce the representation of the poor and the less educated. Sometimes they do not. It follows that both our standard ideas about turnout and/or our standard ideas about how to model it statistically also hold only erratically. One of us has written elsewhere on the dangers of too little graphical analysis, too many unjusti…ed linearity assumptions, and 15 too little use of formal theory (Achen 2002). The costs of all three are much in evidence in the political science literature on voter turnout. Although we have given only brief evidence here about where the profession has gone wrong in studying turnout, we have suggested that the problem lies with what is sometimes called the resource model of voter turnout. On this view, voting is expensive in one sense or another, and so people need (…nancial and cognitive) resources to get to the polls. Naturally, when voting becomes more di¢ cult in lower–turnout elections, it is those with fewer resources who drop out. This plausible sounding story has been proposed by a great many scholars for a century, and it fuels the policy concerns raised by Piven & Cloward and by Lijphart, quoted in our Introduction. The di¢ culty with that viewpoint may be simply stated: Once one looks at more than the broadest and roughest correlations, the resource model just does not work very well in explaining data. The failure of the resource model is also the reason why the recent reforms of American registration statutes has had so much less impact than scholars expected in the studies Lijphart cites. Reducing the price of a good will not raise sales if people don’t want to own it. Making registration easier will not raise turnout for people with no interest in voting, especially if, as in the U.S., the citizenry is asked to go to the polls far more often than in Europe, and if they …nd painfully lengthy ballots there when they arrive (Hanmer, 2004). The more powerful explanatory variable lies elsewhere. As has long been known in the U.S., income is not as strong a predictor of turnout as education, education is not as strong as knowledge, and knowledge is not as good as political engagement. Resources in any usual sense are not the right causal variable. Instead, as Merriam and Gosnell (1924) said long ago, it is the engaged and concerned who vote, and the disengaged who stay home. The Irish evidence we presented and the American evidence we cited indicate that political engagement remains the key factor explaining turnout. Income and education are correlated with engagement, but very imperfectly. No wonder, then, that Tingsten’s Law applied to income or education categories predicts only weakly, if at all. Readers who have quickly skimmed the rest of this paper may be imagining at this point that our skepticism about Tingsten’s Law means that we also deny the socioeconomic bias in American electorates. That inference would be quite mistaken. Of course, the disengaged are disproportionately poor and less educated, and so on our view of the problem, the serious policy problem of biased electorates remains. However, it is not our topic here. To repeat what we said earlier, one does not want to confuse Tingsten’s Law, 16 which concerns @ 2 Individual Turnout=@Social Class @National Turnout, with the issue of biased electorates, namely @Individual Turnout=@Social Class. Our research bears only on Tingsten’s claim, namely that low turnout makes the bias in electorates worse. We …nd that it does not do so reliably or powerfully, and that it often fails. Why then the consistent …nding in Tingsten (1937) that his law holds? We have returned to his data, recalculating his turnout …gures by social class and assessing the proportionate dropo¤ as turnout falls in the manner of this paper, and there is no doubt that the great man had the story right. his time, Tingsten’s Law held widely. We give one such example in Figure 11. In But is well to remember that his data bear on the …rst part of the 20th century, where working class voters were casting ballots for the …rst time. Inevitably, they had not yet reached full engagement with the political system. By contrast, middle classes had generally been enfranchised earlier. Hence in Tingsten’s time, and this is our key point, social class proxied powerfully for political engagement. If engagement is the key variable, we would expect Tingsten’s Law to apply dramatically well to social class distinctions then— but much less importantly now. This conclusion is strengthened when other tables in Tingsten’s book are examined. Older women, newly enfranchised late in their lives in this period and thus probably not as engaged as experienced voters, often show the greatest dropo¤ when turnout falls, just as our view would predict. Similarly, the greatest drop from presidential to midterm elections in the contemporary U.S. occurs among young, well–educated voters, who are engaged enough to be reached by high–stimulus presidential campaigns, but lack the party identi…cation strength that would get them to the polls in the low–stimulus midterm elections (Achen and Sinnott 2009, chap. 2). In sum, Tingsten’s Law makes good theoretical and empirical sense when applied to the right variable, namely political engagement. In Tingsten’s time, political engagement was strongly correlated with social class, due to the recent enfranchisement of the workers. Powerful e¤ects ensued, easily mistaken as causal, especially by those inclined to see social class as the driving force in politics. But it was a case of correlation not implying causation. We conclude by noting once more that Lijphart recommends compulsory voting as an American cure for the perils of Tingsten’s Law. Holls (1889) made the same recommendation a century earlier. Nothing happened then, and barring some dramatic developments we cannot foresee, nothing will happen now. The idea …ts American political culture poorly. Nonetheless, Lijphart’s article has set o¤ a very useful debate. Though we disagree about with his …ndings and his suggested cure, we have no doubt that his work has 17 helped set in motion the explosive recent increase in turnout research, and that that body of work will eventually lead to successful policy proposals for raising voter turnout. Appendix: Does Non-Response Bias Our Findings? Almost all analyses of the socioeconomic correlates of turnout face the objection that the real relationship between turnout and class fails to emerge in surveys with large nonresponse rates. The failure, the argument goes, is due to the fact that participation in the survey is itself a¤ected by the same factors that a¤ect turnout and, accordingly, is strongly socioeconomically biased. The result is that the number of people with working class occupations, low education and low income is substantially reduced in the sample data by comparison with the population data. Accordingly, the relationship between turnout and class, education and income is much weaker in the sample data than it is in the population, an argument that permits researchers to hold fast to the view that turnout is very substantially biased but, because of the biased-response-rate problem, we just can’t see it. In this way, the proposition that voter participation is strongly class-related is rendered immune to critiques based on the evidence from most sample surveys. The QNHS study provides an opportunity to test the central assumption of the foregoing argument, namely that participation in surveys on voting is strongly socioeconomically biased. Normally, this assumption is impossible to test because the refusal to participate occurs right at the outset of the interaction with the potential respondent and no data on class, education etc. are collected for that case. However, because the QNHS is primarily a population survey and is conducted by the o¢ cial governmental statistical agency (the Central Statistics O¢ ce), the response rate to the core element of the survey that contains all the socio-demographic data is in excess of 90 per cent). It is only when the interviewer comes to the add-on political module in the survey and asks the respondent "Can I ask you some questions relating to voter registration, arrangements for voting and voter participation?" that refusals and a fall in the response rate (to 60 per cent) become a problem. However, in the QNHS case, the problem is also an opportunity in that it allows us to test the hypothesis that response rates are socioeconomically biased to an extent that is su¢ cient to prevent the real socioeconomic bias in the population appearing in the survey data. Table 6 presents a test of this hypothesis focusing on the link between participation in the survey and level of education. The results are very clear. There is no relationship 18 whatsoever between willingness to participate in the QNHS voter module and level of education and, accordingly, no basis for the argument that biased response rates in surveys mask the real relationship between lower socioeconomic resources and turnout. 19 References [1] Achen, Christopher H. 2002. Toward a New Political Methodology: Microfoundations and ART. Annual Review of Political Science 5: 423-450. [2] Achen, Christopher, and Richard Sinnott, eds. 2009. Voter Turnout in Multi–Level Systems. Book manuscript. [3] Gosnell, Harold. 1927. Getting Out the Vote. Chicago: University of Chicago Press. [4] Hanmer, Michael J. 2004. From Selection to Election and Beyond: Understanding the Causes and Consequences of Electoral Reform in America. Doctoral dissertation, Political Science, University of Michigan. [5] Holls, Frederick W. 1889. Compulsory Voting. American Political Science Review 1 (Apr.): 586-607. [6] Lijphart, Arend. 1997. Unequal Participation: Democracy’s Unresolved Dilemma. American Political Science Review 91,1 (Mar.): 1-14. [7] Merriam, Charles E. and Harold F. Gosnell. 1924. Non-Voting: Causes and Methods of Control. Chicago: University of Chicago Press. [8] Piven, Frances Fox, and Richard A. Cloward. 1988. Why Americans Don’t Vote. New York: Pantheon. [9] Rosenstone, Steven J., and John Mark Hansen. 1993. Mobilization, Participation, and Democracy in America. New York: Macmillan. [10] Tingsten, Herbert. 1937. Political Behavior. London: P. S. King. 20 Figure 1: US Turnout by Income, 1998 and 2000 0.9 0.8 0.7 turnout fraction 0.6 0.5 1998 2000 0.4 0.3 0.2 0.1 0 under $10K over $75K income 21 Figure 2: 1998 Turnout Drop (as Fraction of 2000 Turnout) by Income 0.3 0.25 turnout drop 0.2 0.15 0.1 0.05 0 under $10K over $75K income 22 Figure 3: 2000 Turnout by Income, North Dakota and U.S. 1 0.9 0.8 turnout fraction 0.7 0.6 North Dakota US 0.5 0.4 0.3 0.2 0.1 0 under $10K over $75K income 23 Figure 4: North Dakota Proportionate Turnout Dropoff 1998 vs. 2000 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 under $10K over 75K -0.05 24 Figure 5: 2000 Minnesota and West Virginia Turnout by Income 1 0.9 0.8 turnout fraction 0.7 0.6 MN WV 0.5 0.4 0.3 0.2 0.1 0 $10K to $15K >$75K income 25 Figure 6: 1998 West Virginia Turnout Dropoff (as fraction of 2000) by Income 0.45 0.4 0.35 dropoff fraction 0.3 0.25 0.2 0.15 0.1 0.05 0 $10K to $15K >$75K income 26 Figure 7: 1998 Turnout Dropoff (as fraction of 2000) among Americans 18-24 0.7 0.6 turnout dropoff 0.5 0.4 0.3 0.2 0.1 0 9-11 yrs 12 yrs HS degree some coll education 27 BA grad Figure 8: Turnout by occupation in non-compulsory voting countries controlling for countrylevel turnout 100 90 80 70 Senior officials, managers and professionals turnout 60 Technicians and associate professionals Clerks Service and sales workers 50 Skilled agricultural and fishery workers Craft and related trades workers Plant and machine operators 40 Manual labourers 30 20 10 0 80% or more 70-79% 60-69% occupation within country-turnout bands 28 Below 60% Figure 9: Turnout by educational level in non-compulsory voting countries controlling for country-level turnout 100 90 80 70 60 turnout Primary Lower secondary or second stage of basic 50 Upper secondary Post secondary, non-tertiary Tertiary 40 30 20 10 0 80% or more 70-79% 60-69% educational level within country-turnout bands 29 Below 60% Figure 10: Turnout by level of net household income (1=low) in non-compulsory voting countries controlling for country-level turnout 100 90 80 70 1 2 60 turnout 3 4 50 5 6 7 40 8 9 30 20 10 0 80% or more 70-79% 60-69% Below 60% household income (1=low) within country-turnout bands DROPOFF * five category educ variable Crosstabulation DROPOFF Voted both Voted natnl only Abstained both Total five category educ variable 15-16 17-19 20-22 1135 1334 763 62.1% 66.3% 67.8% 475 471 267 26.0% 23.4% 23.7% 218 207 96 11.9% 10.3% 8.5% 1828 2012 1126 100.0% 100.0% 100.0% up to 14 1314 69.6% 426 22.6% 149 7.9% 1889 100.0% 30 23+ 823 78.2% 173 16.4% 57 5.4% 1053 100.0% Total 5369 67.9% 1812 22.9% 727 9.2% 7908 100.0% DROPOFF * Respondents occupati on Crosstabul ation DROPOFF Voted both Voted natnl only Abstained both Total prof. managrial 637 77.3% 156 18.9% 31 3.8% 824 100.0% self-employed 367 68.3% 128 23.8% 42 7.8% 537 100.0% Respondents occupation other white manual collar worker 502 1044 65.5% 60.2% 177 475 23.1% 27.4% 87 216 11.4% 12.4% 766 1735 100.0% 100.0% farmer 117 77.0% 27 17.8% 8 5.3% 152 100.0% unemployed 328 58.8% 152 27.2% 78 14.0% 558 100.0% DROPOFF * Knowledge new four levels (0=1) Crosstabulation DROPOFF Voted both Voted natnl only Abstained both Total Knowledge new four levels (0=1) 1.00 2.00 3.00 4.00 1176 1121 971 2090 53.8% 68.0% 73.4% 76.3% 625 379 277 528 28.6% 23.0% 20.9% 19.3% 384 148 75 120 17.6% 9.0% 5.7% 4.4% 2185 1648 1323 2738 100.0% 100.0% 100.0% 100.0% 31 Total 5358 67.9% 1809 22.9% 727 9.2% 7894 100.0% Total 2995 65.5% 1115 24.4% 462 10.1% 4572 100.0% Figure 11: Upper Class vs. Working Class Turnout Ratio, Prussia 1893-1913 turnout ratio of upper class to workers 3.5 3 2.5 2 1.5 1 10 15 20 25 national turnout 32 30 35
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