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The Jeffords Switch and Legislator Rolls in the U.S. Senate Chris Den Hartog Department of Political Science California Polytechnic State University San Luis Obispo, CA 93407 [email protected] and Nathan W. Monroe School of Social Science, Humanities, and Arts University of California, Merced Merced, CA 95211 [email protected]

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Page 1: Chapter 7: Winners and losers on final passage votesfaculty.ucmerced.edu/nmonroe2/index/Research_files/Jef…  · Web viewCongressional scholars sharply dispute the role of the majority

The Jeffords Switch and Legislator Rolls in the U.S. Senate

Chris Den HartogDepartment of Political Science

California Polytechnic State UniversitySan Luis Obispo, CA 93407

[email protected]

and

Nathan W. MonroeSchool of Social Science, Humanities, and Arts

University of California, MercedMerced, CA 95211

[email protected]

AbstractOn May 24, 2001 United States Senator James Jeffords announced that he was switching from Republican to independent and would vote with Democrats on organizational matters (i.e. votes deciding party membership and majority party status), effectively taking majority party control of the Senate from the Republicans and giving it to the Democrats. This created an unusually well controlled quasi-experimental opportunity for learning about the role of parties in the Senate—it held most important variables constant while one variable, majority status, changed. We use roll call data to evaluate the probability of individual members of each party being rolled on Senate final passage votes, before and after the switch. We find that, contrary to conventional wisdom on the Senate, majority status is an important factor in Senate decision-making. Our results show that Republicans were more likely to be rolled after the switch than they had been before, and that Democrats were less likely to be rolled than they had been before.

A previous version of this paper was presented at the 2005 Annual Meeting of the American Political Science Association, September 1-4, Washington, D.C. We thank John Aldrich, Cheryl Boudreau, Andrea Campbell, Dave Clark, Gary Cox, David Epstein, Bob Erikson, Karen Ferree, Clark Gibson, Will Heller, Simon Hix, Henry Kim, Thad Kousser, Gary Jacobson, Jonathan Katz, Jonathan Krasno, Jeff Lax, Michael McDonald, Mat McCubbins, Kathryn Pearson, Rose Razaghian, Dave Rohde, Brian Sala, Greg Wawro, and Nick Weller for helpful comments on previous versions and related projects. We also gratefully acknowledge financial support provided by NSF Grant # SES 9905224 (Principal investigators: Gary W. Cox and Mathew D. McCubbins)

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Congressional scholars sharply dispute the role of the majority party in shaping

US Senate decisions. On one hand, the view that Senate parties exert little influence over

the chamber runs throughout postwar congressional scholarship. The most influential

studies, which focus on Senate procedures and practices such as holds, filibusters, and

nearly unlimited amendment opportunities, portray the chamber as one in which power is

distributed broadly across individual senators and the chamber as a whole as extremely

difficult to manage (Matthews 1960; Ripley 1969; Sinclair 1989; Smith 1989). These

studies are rich in detail and context, but tend to either ignore or explicitly downplay the

importance of parties.1

1 Other models of congressional decision-making leave out parties altogether. See, for example, Krehbiel 1998; see also Brady and Volden 1998.

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As partisanship has risen since the 1980s, scholars increasingly have entered party

identification into analyses of Senate behavior—but, rather than consensus, this has led to

divergent views about their effects. Some studies argue that partisanship exacerbates the

gridlock and dysfunction caused by individualism (Binder 1997, 1999, 2003; Binder and

Smith 1997; Oppenheimer and Hetherington 2008; Smith 2005, 2007). From this

perspective, partisan and individual goals act as competing interests, putting enormous

pressure on Senate leadership to deliver partisan advantage in a chamber set up to

empower individual interests (Sinclair 2001).

Other studies, however, point to Senate procedures and processes that work to the

advantage of the majority party (Beth et al. 2009; Campbell 2001, 2004; Den Hartog and

Monroe 2008, 2011; Evans and Oleszek 2001; Evans and Lipinski 2005; Koger 2010;

Lee 2009; Schiller 1995, 2000, 2001; Wawro and Schickler 2006). Some of these

authors, as well as others, discern different types of pro-majority bias in Senate decisions

(Bargen 2003; Campbell 2001, 2004; Campbell, Cox, and McCubbins 2002; Crespin and

Finocchiaro 2008; Den Hartog and Monroe 2008; Gailmard and Jenkins 2007; Koger and

Fowler 2006; Lee 2009).

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We evaluate these competing views by examining how legislative outcomes

varied when Democrats suddenly gained majority status in the middle of the 107th Senate,

owing to Senator James Jeffords’s change in party affiliation. More specifically, we look

at individual senators’ probability of being “rolled”—that is, voting against a bill that

passes—on final passage votes in the periods immediately before and after “the Jeffords

switch” (i.e., the change in majority status), and how these probabilities changed when

Democrats gained and Republicans lost majority status. We conclude that majority status

systematically affects Senate legislative outcomes. Our results show that Republicans

were less successful after the switch than they had been before, and that Democrats were

more successful after the switch than they had been before.2 In some ways, however, the

results also suggest limits on majority party power in the Senate, which we discuss later

in the paper.

2 Also, Republicans were more successful than Democrats pre-switch, and Democrats were more successful than Republicans post-switch.

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The Jeffords switch provides a unique quasi-experimental opportunity for

examining the majority party’s role, because it allows us to isolate the “treatment”

variable—majority status—while holding constant other variables that scholars identify

as determinants of Senate decisions. It is the only instance in which majority status

changed without any concurrent change in Senate membership—other changes in

majority status resulted from elections that produced simultaneous changes in other

factors likely to influence legislative outcomes, such as the ideological mix in the

chamber, membership in the House of Representatives, and the expressed preferences of

constituents.3 Many elections also produced changes in control of the House, the White

House, or issue salience. Across the period just before and just after the Jeffords switch,

however, all of these things remained constant.

Yet, this paper’s intended contribution goes well beyond that short period. That

controlled window allows us to understand the nature of majority status in the Senate and

the way majority parties shape Senate outcomes in the modern Senate, not just the 107th

Senate. The Jeffords switch is unique as an opportunity to test competing theories; but

inasmuch as the Jeffords change does produce an effect, we expect that same basic effect

to exist for any change in majority status. The only difference is that for other changes,

we cannot as cleanly detect the causal relationship.

3 There has never been a change in majority status in the House without a concurrent change in membership.

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Others also have used the tidy research design produced by the Jeffords switch to

study aspects of American politics. For instance, Nicholson (2005) uses the switch to

study public support for divided government, Jayachandran (2006) uses it to study asset

prices, and Roberts (2007) uses it to illustrate difficulties in drawing inferences about

legislators’ preferences from roll call votes. The work closest to ours is Den Hartog and

Monroe (2008), which also uses the switch to study partisan influence on Senate

outcomes. But their dependent variable—stock returns for Democrat-supported and

Republican-supported energy companies—assesses the impact of the switch by

examining outcomes external to Congress. Their research design relies on the premise

that investors’ reactions to the switch accurately reflected shifting party power within

Congress and the consequences such a shift would have on energy stocks. Put differently,

to interpret their results as evidence of majority party bias in the Senate, one must believe

that the market correctly anticipated the legislative consequences of the switch.

We use a research design that is similar but relies on no such premise. Our

dependent variable, a senator’s probability of being rolled, is similar to those used by

Carroll and Kim (2010), Carson, Monroe, and Robinson (2011), Cox and McCubbins

(2005), Lawrence, Maltzman, and Smith (2005, 2006), and Smith (2007)—each of which

uses some measure of individual legislators’ legislative successes or failures and

compares the success (failure) of majority party legislators to the success (failure) of

minority party legislators to draw inferences about party power. A common element of

these other studies, however, is that they examine time series that stretch across multiple

congresses, with one observation for each member in each congress, and changes in

majority status resulting only from elections. The test in this paper has the novel twist

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that the period we study includes a change of majority status without a simultaneous

change in other important variables.4

In the following sections we discuss the Jeffords switch, theories of majority

power and the hypotheses we draw from them, our research design for testing those

hypotheses, and empirical results of our tests. We end with a comparison of the

Republican and Democratic majorities’ success, and concluding thoughts.

The Jeffords switch

4 A possible objection at this point is that Jeffords’s policy preferences might have changed, and that such a change in preferences explains our results, rather than the change in majority status. We maintain the assumption that his preferences did not change; we discuss reasons for this assumption later in the paper, when we report our empirical results.

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Following the 2000 election, the Senate was divided evenly between Democrats

and Republicans, leaving the Vice President as the tie-breaking vote and de facto

determinant of which party enjoyed majority status. From January 3 through 20, Al Gore

remained Vice President and Democrats were the majority party—although, knowing that

they were about to lose majority status, they took little action. When Dick Cheney was

sworn in as Vice President on January 20th, Republicans assumed majority status and,

with it, unified control of the government. Realizing that they faced an extraordinary

situation, Democratic leader Tom Daschle and Republican leader Trent Lott agreed at the

outset to a so-called “power-sharing agreement” that, among other things, divided seats

on all committees evenly between Republicans and Democrats, while making

Republicans the chairs of each committee.

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This continued for the next few months, during which the Bush administration

defied many predictions by pushing a conservative agenda, to the consternation of some

moderate Republican senators, including Jeffords (Martinez 2001). On May 24, he

announced that he would switch from Republican to independent and would vote with

Democrats on organizational matters. These organizational votes, in and of themselves,

are not especially interesting in that they are virtually always straight party-line votes.

They are, however, very important in that their outcomes determine which party will

control committees and other aspects of Senate process that, in effect, give the majority

party an institutional advantage. Thus, Jeffords’s intent to abandon the Republicans and

vote with the Democrats on these organizational matters had the effect of giving

Democrats a 51-49 advantage, thereby making them the majority party.5

5 Jeffords’s given reason for switching was that the increasingly conservative Republican caucus made it difficult for him to remain moderate; as part of the switch, Democratic leaders guaranteed that they would be tolerant of his moderate positions, and also gave him a committee chairmanship (Jeffords 2001; Daschle 2003).

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The Senate recessed on May 26, after passing Bush’s tax bill;6 when the session

resumed in June, Democrats assumed majority status; Daschle became majority leader,

Democrats became chairs of each committee, and (after a period of bargaining and

procedural wrangling). Democrats assumed one-seat majorities on each committee. The

new alignment was still in place a few months later when the terrorist attacks of

September 11 put a temporary end to politics-as-usual.

Theories of Majority Party Effects on Legislation

Partisan theories of congressional legislation focus heavily on majority parties’

ability to affect outcomes by shaping the agenda—meaning, roughly speaking, affecting

which measures do and do not get final floor votes. But Senate scholarship has long been

rife with skepticism about the Senate majority’s ability to shape the chamber’s agenda.

Before discussing theories or hypotheses, therefore, we discuss Senate procedures that

plausibly could give the majority the ability to affect the set of measures subject to final

votes.

Majority party procedural tools

6 The Senate was in the midst of working on the tax bill at the time of Jeffords’s announcement; part of his deal with Democrats was that the switch would not occur until after the Senate passed the bill (Jeffords 2001).

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Agenda setting can be thought of as occurring at three different stages of the

Senate’s legislative process: the committee, scheduling, and floor stages.7 What follows

is a brief characterization of claims found in the literature on the Senate about ways that

the majority party can affect outcomes at each stage.

Committee chairs, who are all members of the majority party, exercise substantial

power to block their committees from considering bills that the chair does not want

considered, and to bring up their own version of a bill (the “chair’s mark”) for

consideration if they prefer it to the version originally referred to the committee (Evans

1991). The power to block consideration of a proposal and the power to make the first

proposal are often cited as important sources of agenda-setting power (Cox and

McCubbins 2005; Finocchiaro and Rohde 2008; Romer and Rosenthal 1978). Chairs also

have considerable sway over other committee members, especially from their own party,

which they often use to ensure that their committees report measures that the chair wants

reported (Evans 1991; Rawls 2009).8

7 One might also consider committee assignments as a fourth stage, in the sense that the committee assignment process might be seen as a quality filtering system that biases legislative outcomes (Crain 1990). However, we omit this stage and instead treat personal as fixed during a given legislative session.8 Senate Rule XIV allows senators to bypass committee consideration altogether and place measures directly onto the calendar; but bringing the bill up for floor consideration is all but impossible if the majority leader objects (Gold 2008; Sinclair 2007). Moreover, Rule XIV allows majority leaders to circumvent a committee if they do not trust it to do the party’s bidding—a practice that has grown more common, especially for high-priority items (Evans and Oleszek 2001; Oleszek 2004).

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The majority’s influence over scheduling (i.e., bringing a bill up for consideration

on the floor) flows largely from the majority leader’s right to be recognized before any

other senator, which gives the majority leader an effective monopoly over the offering of

either a motion to proceed or a unanimous consent request that proposes to bring the bill

up in the form that he prefers (Tiefer 1989). This monopoly allows the majority leader to

block scheduling of bills merely by doing nothing.

Of course, there is no guarantee of the chamber approving the majority leader’s

scheduling proposals, which are often thwarted by filibusters, threats of filibusters, or

objections to consent requests. But, any senator other than the majority leader faces the

same constraints, while also lacking the right of first recognition. Given that every

senator has legislation that he or she wants enacted, the majority leader’s proposal

monopoly can create bargaining leverage that sometimes induces opponents into

acceding to scheduling of a bill that they oppose (Ainsworth and Flathman 1995), and

perhaps also into refraining from filibustering or voting for cloture.

The Senate’s open amendment process has the potential to negate the majority

party’s committee and scheduling advantages, but the majority is not without means of

fighting back against unwanted amendments. Floor amendments are restricted in some

circumstances, such as when the majority leader fills the amendment tree (Beth et al.

2009; Campbell 2004; Oleszek 2004; Schiller 2000). And amendments must be germane

once cloture is invoked, leading majority leaders often to file for cloture as early as

possible in order to limit amendments (Oleszek 2004; Sinclair 1997; Tiefer 1989).

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When unwanted amendments are offered, the majority can try to kill them by

making and approving motions to table (which are non-debatable and require only a bare

majority for approval), by ruling them out of order (Den Hartog and Monroe 2011), or by

simply voting them down on an adoption vote.9 None of these is a surefire means of

killing amendments, but each clearly is effective in many cases.

As at the scheduling stage, the majority’s ability to move its bills forward is

subject to the constraints of filibusters and objections to consent requests, which

unquestionably can reduce the majority’s success in passing its policy priorities. But, as

noted above, the minority party faces the same constraints and then some—and the

majority leader’s proposal power sometimes creates leverage that allows the majority to

overcome obstruction.

In sum, the picture of majority power that emerges is not one of a dominant

majority party that steamrolls the minority. Rather, it is one in which the majority fights

constantly to shape the agenda, sometimes without success, but succeeds in many other

instances. Moreover, whatever the majority party’s limitations, the minority party faces

the same limitations, plus additional obstacles, when trying to shape the agenda.

Partisan theories and individual roll rates

9 Various Senate procedural experts describe votes on motions to table as instances in which senators are strongly predisposed to vote the party line, making tabling motions a tool primarily of majority leaders (Gold 2008; Marshall, Prins, and Rohde 1999; Oleszek 2004; Tiefer 1989).

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The concept of being “rolled” (an actor voting against passage of a measure on

the vote in which the chamber passes the measure) is useful for evaluating which actors

(e.g., parties, committees, individual legislators) wield “negative” agenda power,

meaning the ability to block passage of measures. A roll indicates a lack, or failure, of

blocking power on the part of the entity being rolled.10 In the context of the Senate, the

significance of rolls lies in their ability to shed light on whether the majority party

successfully shapes Senate legislative decisions.

Partisan agenda setting theories generally assume that majority party leaders have

negative agenda power, and predict that they will use it to block proposals that would

lead to rolls of the party as a whole, or of most party members, leading to substantial

overlap in partisan models’ predictions regarding roll patterns. In this section we sketch

Den Hartog and Monroe’s (2011) “costly-consideration” model, which is specifically

tailored to the Senate, to illustrate the predictions that these models make about the

likelihood of individual legislators being rolled.

10 Roll and roll rates (the ratio of rolls to final passage votes) are used widely in combination with one-dimensional spatial models to study negative agenda power. Carson, Monroe, and Robinson (2011), Cox and McCubbins (2005), and Jenkins and Monroe (2013) establish theoretical underpinnings of using rolls in this way (but see Krehbiel 2007 for a dissenting view).

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This model defines consideration as getting something to a final passage vote,

and posits that getting a measure to a final passage vote is costly—in the sense that it

requires scarce resources to move a bill forward through the legislative process. The

model’s basic setup is as follows (and shown in Figure 1): Three actors—majority

proposer (M), minority proposer (Mi), and floor median (F)—have linear, symmetric,

singled-peaked preferences, with ideal policy points denoted by M, Mi, and F,

respectively.11 The sequence of play is, M moves first by either proposing a or not (~a). If

M proposes a, then it pays a cost, denoted by c. Next, Mi can either propose b or not (~b)

and pay a cost, denoted by k. Assume that c < k.12 Finally, depending on the actions of M

and Mi, F will decide between adopting proposal a, b, or maintaining the status quo (SQ).

Figure 1 here

Without going into gory detail about the model, we can characterize its intuition

and how it applies to the Jeffords switch by examining how the location of two different

status quos produce two unique “roll zones” for individual members in the policy space.

That is, we look at areas of the policy space where members whose ideal points reside in

that part of the space would be rolled.

11 Neither M nor Mi represents the median member of their respective party caucus.12 This assumption reflects the idea that the majority’s procedural advantages, described in the previous section, make it less costly for the majority party to propose measures and push them toward final passage than it is for the minority party.

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Note that the “minority no-offer zone” is defined as the area of policy space

wherein the minority will not make a proposal or counter-proposal to move the SQ. NOL

and NOR establish the left and right-most bounds of the minority no-offer zone. In our

first example, the SQ is located at Mi’s ideal policy point. Given this SQ, M will propose

a* that mirrors the original SQ but is located at NOL. Mi will follow by not making a

counter proposal. Finally, F will adopt a*, which results in the creation of a roll zone,

depicted by boxes with a dashed outline, of minority members.

Figure 2 here

Now, consider a second SQ, as described in Figure 2, which is located at M’s

ideal point. Following a switch of majority status from M to Mi, Mi will propose a* that

is located exactly at NOL. In doing so, a roll zone of former majority members is created.

The key implication is that if majority status switches to the other party, then the

lopsidedness of the roll zone changes from one side of the space to the other; thus, a

change in majority status will change the probability of a roll for individual members.

Jeffords switch hypotheses

This expectation is not, however, unique to the costly-consideration model. Cox

and McCubbins (2005) and Chiou and Rothenberg (2003) offer spatial models that yield

similar predictions. Other partisan theories predict that some level of majority party

agenda power, such as conditional party government (Aldrich and Rohde 2000, 2001;

Rohde 1991) or strategic party government (Lebo, McGlynn, and Koger 2007) theories,

can be easily interpreted as implying similar predictions. We emphasize that we are not

deriving hypotheses that distinguish between party models; rather, the hypotheses

distinguish between party-centric and party-less models.

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A common thread linking these models is the premise that, by moving forward

bills favored by its caucus members and by hindering bills opposed by its caucus

members, the majority increases the likelihood that bills passed by the Senate will be to

its liking—and thereby decreases caucus members’ probability of being rolled.13 Thus,

partisan theories predict members of the majority caucus are less likely to be rolled than

members of the minority caucus, all else constant. Combined with the Jeffords switch,

this is the basis for the predictions that we test:

13 More minimally, any partisan theory that assumes that the majority party has negative agenda control and that the minority party lacks complete negative agenda control is consistent with this argument.

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Republican Change Hypothesis: Republican senators’ probability of being rolled on a

final passage vote will be higher after the Jeffords switch than before it, ceteris paribus.

Democratic Change Hypothesis: Democratic senators’ probability of being rolled on a

final passage vote will be lower after the Jeffords switch than before it, ceteris paribus.

Pre-Switch Hypothesis: In the period before the switch, Republican senators’ probability

of being rolled on a final passage vote will be lower than Democratic senators’

probability of being rolled on a final passage vote, ceteris paribus.

Post-Switch Hypothesis: In the period after the switch, Republican senators’ probability

of being rolled on a final passage vote will be higher than Democratic senators’

probability of being rolled on a final passage vote, ceteris paribus.

Note that the first two hypotheses serve as the basis for our key quasi-

experimental tests, since they capture the effects of changes in majority status (i.e., the

treatment) on roll probabilities for each party; partisan theories predict changes across the

switch, but non-partisan theories predict no changes across the switch.

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The latter two hypotheses, taken individually, lead to weaker, supplementary

tests. They present opportunities to falsify the partisan hypotheses; but, under some

conditions, non-partisan theories also predict majority senators as having lower roll

probabilities, so evidence consistent with these hypotheses does not allow us to

differentiate partisan and non-partisan theories.

Taken jointly, however, these supplementary hypotheses constitute a stronger test,

since non-partisan models predict lower roll probabilities for members of one caucus in

the pre-switch period are unlikely to change in ways that allow non-partisan models to

predict lower roll probabilities for members of the other caucus in the post-switch period.

For example, in a given time interval, a non-partisan model might predict that the lower

roll probabilities for majority caucus members if most status quos are to the minority’s

liking. In such a case, minority members would oppose proposals to move policy toward

the floor median unsuccessfully, thereby being rolled, while majority members would

favor the shift and would not be rolled. In the context of the Jeffords switch, however, the

status quos would have to shift suddenly from one side of the political spectrum to the

other—and at the same time that Jeffords switched—for a non-partisan model to predict

that the last two hypotheses both be true at the same time.

Data and research design

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We test our hypotheses using data on final passage votes from part of the 107th

Senate prior to September 11, 2001. Recall that the Republican and Democratic change

hypotheses offer predictions about how each party’s senators’ probability of being rolled

should have changed following the Jeffords switch. Importantly, note that we do not

separate these hypotheses across parties to get at substantive differences between

Democrats’ and Republicans’ performances as the minority and majority, and vice versa.

Rather, these hypotheses allow us to employ a particularly strong research design,

wherein we can see both the effect of the treatment being removed from one group (the

Republican Change Hypothesis) and of the treatment being applied to another group (the

Democratic Change Hypothesis). Thus, we can in essence assess the same underlying

mechanism—the advantage of being in the majority—in two different groups. If, instead,

we were to simply pool the pre-Jeffords Republicans with the post-Jeffords Democrats

and look for the common treatment effect across those groups, we lose some of the power

of our quasi-experiment.

Thought of in these terms, our pre- and post-switch hypotheses are also not to be

conceptualized as substantive comparisons between Republicans and Democrats, but

instead, should be seen as comparisons between the treated group and the untreated group

(or control group) in each period. Note that our prediction is simply that in each period,

the treated group should do better than the untreated group—not that the treated group in

one period should do better or worse than the treated group in another period. We have

no theoretical expectations about that comparison, and thus our commentary in that vein

will be purely speculative.

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To compare senators’ probability of being rolled across the switch, we use a

dataset with one observation for each senator in each period (i.e., one observation before

the switch and one observation after it). The pre-switch period runs from the beginning of

the 107th Congress, in January 2001, through the switch; the post-switch period that we

use runs from the switch through September 10, 2001. We thus compare two periods of

roughly comparable length (3-4 months), and avoid the possible confounding influence of

September 11th. Indeed, one of the advantages of using such a short time span is that it

greatly reduces the possibility that an unobserved factor, such as changing political issues

or alignments, is actually responsible for whatever changes we observe.

For each observation, we calculate the number of final passage roll call votes on

which the given senator voted in the given period, as well as the number of votes on

which the senator was rolled.14 We also code whether the observation is for the pre- or

post-switch period, and whether the senator was a Republican or Democrat. Using this

dataset, we estimate the following model using extended beta-binomial regression

(discussed below):

RollProbabilityit = + 1Demi + 2PostSwitcht + 3Demi*PostSwitcht + 4Distancei + it,

where:

RollProbabilityit is the proportion of final passage votes on which senator i was rolled—

i.e., voted against a bill that passed—in period t,

Demi is a dummy, coded one if senator i is a Democrat,

PostSwitcht is a dummy, coded one for the post-switch period, and

14 The set of votes used here is each Senate final passage vote on a Senate or House bill, a Senate or House joint resolution, an executive nomination, or a conference report. There were 26 votes in the pre-switch period and 18 votes in the post-switch period. Not all senators voted on every vote, although most voted on most of the votes.

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Distancei is the absolute value of the difference between i’s ideal point and the floor

median’s ideal point, using the first dimension common-space NOMINATE scores

(Poole 1998; Poole, McCarty, and Rosenthal 1997; Poole and Rosenthal 1997).

The dummy variable PostSwitcht captures the change in Republicans’ probability

of being rolled—and thus is the key variable for testing the Republican Change

Hypothesis, which predicts a positive coefficient for this variable (indicating that

Republicans’ probability of being rolled increased after the switch). The PostSwitcht and

Demi*PostSwitcht variables jointly capture the change in Democrats’ probability of being

rolled—and thus are the key variables for testing the Democratic Change Hypothesis,

which predicts that the sum of the coefficients for these variables will be negative

(indicating that Democrats’ probability of being rolled declines after the switch). The

variable Demi captures how Democrats’ pre-switch probability of being rolled compares

to Republicans’ pre-switch probability of being rolled; the Pre-Switch Hypothesis

predicts that will be positive. Finally, the Demi and Demi*PostSwitcht variables jointly

capture how Democrats’ post-switch probability of being rolled compares to

Republicans’ post-switch probability of being rolled; the Post-Switch Hypothesis predicts

that will be negative.

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In addition, we add the Distancei variable as a control to account for the

ideological “extremeness” of each senator.15 In prominent models of legislative agenda

setting (Cox and McCubbins 2005; Krehbiel 1998), a legislator’s probability of being

rolled is (weakly) greater as the member’s ideal point is farther from the floor median’s

ideal point.16 Thus, while most possible confounding factors are unlikely to vary across

the short period of time we examine, we include this control to account for ideology-

driven heterogeneity in senators’ probability of being rolled. 17

15 We use senators’ NOMINATE scores from the 107th Congress. Given that NOMINATE scores are derived from legislators’ roll call votes in a given Congress, and that our dependent variable is a roll call-based measure, our use of the NOMINATE-based Distance variable on the right hand side of the equation raises the concern that our findings might result from, essentially, using roll call votes to explain roll call votes. An alternative approach would be to use NOMINATE scores from the previous or subsequent congress as a way to circumvent this issue. However, turnover in Senate membership in the 2000 and 2002 elections was sufficiently large that many senators would drop out of our analysis if we used scores from the 106th or 108th Congress. Moreover, our use here is defensible: the Distance variable is a control variable rather than a test variable, so our conclusions do not rely on the Distance variable’s significance. When we estimate the model without the Distance variable the results of our hypothesis tests remain the same, with the slight caveat that the significance level of the Post-Switch Hypothesis test coefficient is 94.8 percent rather than 97.1 percent.16 More accurately, a legislator’s probability of being rolled is greater as the member’s ideal point is farther outside the protected interval (assuming, as is common in the literature, that status quos are uniformly distributed). Because different assumptions about the agenda-setter and floor veto players lead to different protected intervals, the appropriate control for ideological extremeness differs from one model to the next. Including all different possible permutations of this control would increase the length and complexity of the text and results—with, we believe, little payoff. In results not reported here, we have experimented with different permutations, and in no case has it made a difference in the inferences that we draw about the hypotheses. We thus report results using only the crude Distance variable defined above.17 Another possibility would be to drop the Distance variable and instead include a fixed effect dummy for each senator. With panel data such as ours, however, inclusion of such unit fixed effects “does not allow the estimation of time-invariant variables” and is inefficient (Plümper and Troeger 2007, pp. 124-125). Given that one of our key test variables, the dummy for Democratic senators, is time-invariant, we do not use fixed effects.

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The dependent variable in our hypotheses is a senator’s probability of being rolled

on a final passage vote. One possible estimation method for the model we present above

is a binomial model—but this approach assumes that each vote on which senator i could

be rolled is independent of all of the other votes on which i could be rolled, and that

senator i’s underlying probability of being rolled is the same across all such votes (King

1998, pp. 119-121). If these assumptions are not met, “Standard errors will be incorrectly

estimated, comparisons of means or parameter values can be misleading, and estimates

will not be efficient” (Palmquist 1999, pp. 2).

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Since the assumptions likely do not hold for our data, we instead use extended

beta-binomial regression (King 1998; Palmquist 1997, 1999), which makes neither of the

restrictive assumptions. Nor does it assume that the underlying probability of being rolled

is constant across senators (Palmquist 1999, pp. 13). Using Prentice’s (1986) extended

beta-binomial distribution, the method estimates an additional parameter, γ, which

models over- or under-dispersion that results from the types of dependence and

heterogeneous underlying probabilities just discussed.

In practice, extended beta-binomial bears some similarity to an event count

model. The dependent variable is the number of positive trials for each observed unit—in

our case, the number of rolls for an individual senator in the period (i.e., pre- or post-

Jeffords switch) to which the observation corresponds. One also specifies the number of

“trials” (votes on which a senator voted) and right-hand-side variables. The method

estimates non-linear maximum-likelihood coefficients that, as with logit and other

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methods, can be transformed into an estimated probability of a positive trial (a roll) for

different values of the independent variables.18

Results

18 Another potential estimation option is a negative binomial event count model. Though they are similar, King (1998) emphasizes that event count data (the number of positive outcomes out of an unknown or infinite number of trials) differs from grouped binary data (the number of positive outcomes out of a known number of trials) and recommends extended beta-binomial for the latter type of data.

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Before discussing the regression results, we first look at the pattern of change by

examining how each senator’s “roll rate” (i.e., the proportion of votes on which i was

rolled) for the post-switch period compares to his or her roll rate for the pre-switch

period, in Figure 3. Each plotted point represents the difference between the post-switch

roll rate and the pre-switch roll rate for a given senator. We plot this difference (on the y-

axis) against the senator’s first-dimension common-space NOMINATE score (on the x-

axis), with triangles denoting Republicans and squares denoting Democrats. Note the

horizontal line across the middle of the figure, which marks a zero roll rate change;

individuals below this line (i.e., with a negative change) had higher roll rates before the

switch than after, while individuals above this line (i.e., with a positive change) had

higher roll rates after the switch than before. Thus, if our hypotheses are correct, we

should see Democrats tend to be below the line, and Republicans tend to be above the

line. Clearly, this is the pattern we observe. Of the 51 Democrats (counting Jeffords as a

Democrat, which we have done in Figure 3), only two—Russ Feingold, at the far left of

Figure 3, and Jeffords himself, who is at –0.26 on the x-axis—are above the line, while

one more—Zell Miller, in the middle of the figure—had a change of zero (his roll rate

was zero in each period). The other 48 Democrats all had lower roll rates after the switch

than before. In sharp contrast, 40 of the 49 Republicans are above the line, indicating that

their roll rates were higher after the switch than before. Of the other nine, four are below

the line and five are on the line, indicating no change. For Republicans, the mean change

in roll rate is 0.054, while for Democrats the mean change is -0.158; in each case, a

single-sample test allows us to reject the null hypothesis of no change with p-values

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smaller than 0.0001. Thus, it clearly seems that Democrats did better after the change

than before, and that the reverse is true for (most) Republicans.

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Figure 3 here

We now turn to the regression results, shown in Table 1. The coefficient for

PostSwitch, which captures the change in Republicans’ probability of being rolled and is

predicted by the Republican Change Hypothesis to be positive, is significantly positive

(the coefficient is 1.390 with a standard error of 0.157).19 This indicates that Republicans’

probability of being rolled did indeed increase after the switch.

Table 1 here

The results also support the Democratic Change Hypothesis, which predicts that

the sum of the coefficients for PostSwitch and Dem*PostSwitch will be negative. A linear

combination test shows that this sum is significantly negative (the sum of the coefficients

is -1.437, with a standard error of 0.121; the coefficient for Dem*PostSwitch is -2.827,

with a standard error of 0.198).20 This indicates that Democrats’ probability of being

rolled declined significantly after the switch.

19 We drop subscripts from variable names in the rest of the discussion. The Pseudo R2 is 0.1168, the Log-likelihood is -1291.7813, and the number of observations is 198 because Jeffords is excluded from the analysis, since he was in the majority in each period. Including Jeffords makes no significant difference in the results.20 The linear combination test is a z-test of the proposition that sum of the coeficients equals zero.

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As mentioned, we can also look at which party’s members did better in each

period. The coefficient for Dem captures the difference between Democrats’ and

Republicans’ probability of being rolled in the pre-switch period. The positive coefficient

(2.558, with a standard error of 0.139) indicates that, as expected, Democrats were more

likely than Republicans to be rolled before the switch.

In the post-switch period, the difference between Democrats’ and Republicans’

probability of being rolled is the sum of the coefficients for Dem and Dem*PostSwitch.

This sum is negative (-0.268, with a standard error of 0.142) as predicted,21 indicating

that Republicans’ probability of being rolled was higher than Democrats’ after the switch,

all else constant.22

21 In a one-tailed test, the significance level is 97.1%; in all other cases discussed here, the significance level is over 99.999%. 22 At the suggestion of an anonymous reviewer, we also estimated this model without the Distance variable. The results are very similar, with two small exceptions: the Pseudo-R2 drops from 0.1168 to 0.096, and the significance level of the Dem-plus-Dem*PostSwitch sum drops from 97.1% to 94.7%.

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Table 2 shows the substantive content of these results, casting them in terms of

the predicted probability of being rolled. Each cell shows the estimated probability that a

final passage vote will result in a roll for an individual senator, differentiated by party and

period.23 The probability for Republicans goes from 0.026 before the switch to 0.098 after

the switch, while for Democrats it goes from 0.214 to 0.061. In addition, we see that

Democrats’ probability (0.214) was higher than Republicans’ (0.026) pre-switch, but that

Democrats’ probability was lower than Republicans’ post-switch. All of these results are

consistent with our hypotheses.

Table 2 here

Could a change in Jeffords’s preferences explain our results?

A potential problem with the research design used in this paper is that the results

presented here are a function of a change in Jeffords’s preferences, rather than of the

change in majority party. In other words, changing preferences might be an important

omitted variable. In this section, we address and reject this possibility.

Obviously, we cannot actually observe or perfectly measure Jeffords’s

preferences, but we can estimate them using roll call based measures such as

NOMINATE (Poole and Rosenthal 1997)—and, at first blush, some evidence seems to

suggest that Jeffords’s preferences did change. Using various approaches to estimating

preferences, Clinton, Jackman, and Rivers (2004), Nokken and Poole (2004), and Poole

and Rosenthal’s NOMINATE data all indicate that Jeffords’s voting became distinctly

more liberal after he switched. Nonetheless, there are multiple reasons to believe that a

significant change in Jeffords’s preference does not explain our results.

23 Distance is held constant at its median value for members of each party.

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First, the results are based on a set of roll call votes that covers a wide range of

issues; for a change in preferences to explain all this pattern of change across many

issues, Jeffords would have to have abruptly and simultaneously changed his positions on

many issues. This seems to lack face validity, and also conflicts with anecdotal accounts

of the rift between Jeffords and his party—most of which emphasize that moderate

Senate Republicans like Jeffords increasingly had become marginalized within their own

caucus as it moved to the right.

Second, a change in observed voting behavior does not necessarily imply a

change in preferences, which is only one of many factors, such as constituency and party

loyalty that contribute to voting behavior. Trying to parse the effects of each on a

legislator’s roll call behavior is notoriously difficult, and estimation measures such as

NOMINATE inherit this ambiguity24—that is, they produce a single estimate for a

legislator that is a product of preferences, constituency, partisan, and other effects. Given

that partisan theories presume that party members will exhibit at least some degree of

party loyalty on at least some votes, a change in Jeffords’s NOMINATE score is

consistent with partisan theories—and, after all, Jeffords publicly announced that he

would change his voting behavior on organizational votes. It is thus unsurprising from a

partisan viewpoint that Jeffords’s voting pattern differed somewhat after the switch.

24 See Smith (2007) for an overview of the problems with parsing effects.

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Third, regardless of whether we take roll call-based estimates as measures only of

preferences, evidence suggests that the change in Jeffords’s roll call behavior did not

occur during the period we examine—and therefore cannot explain our results. The

estimates mentioned above use roll call data from longer time spans than the several-

month window that we examine in our analysis, including at least the entirety of the 107th

Congress. Using Poole and Rosenthal’s W-NOMINATE program,25 we estimated W-

NOMINATE scores for each day across the period from March 2001 until September 10th

2001. In other words, for the first day in this time series, we began by estimating scores

for each Senator based on all roll calls that had occurred in the 107th Congress up to that

point. For the next day on which there was at least one additional roll call, we then re-

estimated the scores, incorporating the new roll call data. For each day in the time series,

we updated the scores in this fashion, so that we have a time series of estimated (first-

dimension) W-NOMINATE scores across this period.

Figure 4 here

25 The W-NOMINATE program is available at Voteview.com.

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Jeffords’s first-dimension score, shown in Figure 4, bounces around some,

especially early when the scores reflect fewer votes. But, overall, the trend is relatively

flat and centrist across the window as a whole. These cardinal estimates of his

preferences may be misleading, since this methodology does not account for whether or

how the estimated policy space itself bounces around across this period. In other words,

Jeffords’s relatively constant scores could be consistent with him becoming more liberal,

if the policy space itself were moving to the right. To account for this possibility, we have

also examined Jeffords’s ordinal ranking on each day across this period. Viewed from

this perspective, the results provide fairly compelling evidence that Jeffords was not

moving to the left relative to other senators. He was the 49th, 50th, or 51st most

conservative senator for every day in the time series. In other words, he was at or very

near the median position across the pre- and post-switch periods we examine.26

26 We also estimated W-NOMINATE scores for each Senator in the 107th Congress across the entire period of our analysis; that is, we use all Senate roll call votes from the beginning of the 107th Congress until September 10th, 2001, so that we get one estimate for each senator (except Jeffords) for the entire pre- and post-switch period. We treat pre- and post-switch Jeffords as two different individuals, in order to contrast his pre- and post-switch voting behavior. The result is an estimated pre-switch (first-dimension) ideal point of .14, and a post-switch ideal point of -.095—which is a very small shift in voting behavior. To put this change in perspective, compare it to the ideal points of a few other prominent Senators from across the political spectrum, estimated across the same time period: Wellstone (-0.969); Kennedy (-0.813); Daschle (-0.719); Baucus (-0.098); Chafee (0.159); Specter (0.289); Lugar (0.715); Santorum (0.825); Helms (1.000).

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Finally, even if Jeffords’s preferences did change, it is unlikely to have changed

the location of the median legislator enough to explain the pattern of roll rates we observe

across a range of issues. In preference-based theories such as Krehbiel’s (1998) pivot

model, the location of the ideological median legislator is a key determinant of legislative

outcomes. In Poole and Rosenthal’s DW-NOMINATE estimates for the entire 107th

Congress, Jeffords’s score shifts from -0.006 as a Republican to -0.34 as an Independent,

in the process changing from the 51st to the 30th most liberal senator. However, the

chamber median hardly shifts, from -0.029 to -0.062, which seems unlikely to explain the

observed changes in roll probabilities for Republicans and Democrats.

Do Republicans do better than Democrats?

One intriguing aspect of these findings, which goes beyond our hypotheses but

suggests an interesting possible characteristic of Senate decision-making, is that the post-

switch Democratic minority clearly did not seem to do as well as the pre-switch

Republican majority—nor did the post-switch Republican majority seem to do as badly

as the pre-switch Democratic majority.

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From the point of view of partisan theories of legislative decision-making, there

seem to be two explanations seem to be most likely. First, from a Conditional Party

Government perspective, one might immediately suspect that the Republicans were more

homogeneous in their preferences than were the Democrats, leading to more delegation to

party leaders among the Republican majority – and thus more ability to control the Senate

floor agenda – than among the Democratic majority. Though we make no pretense of

answering this question definitively, we can take a crude look at whether this conjecture

holds up to scrutiny by comparing the heterogeneity of preferences among senators of

each party in the 107th Congress. We do so in two ways—by taking the standard deviation

of first-dimension common space NOMINATE scores for senators of each party, and by

calculating the range between the minimum and maximum score for each party (we

exclude Jeffords from each party).27 For Democrats, the standard deviation is 0.134 and

the range is 0.651; for Republicans, the standard deviation is 0.142 and the range is

0.653. There is thus little evidence that greater Republican unity produced the Republican

majority’s seemingly higher level of success.

27 See Aldrich, Berger, and Rohde (2002) and Aldrich, Rohde, and Tofias (2005) on measuring the extent to which conditional party government conditions are met.

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The other possibility is that the result is explained by divided government. This is

consistent with Campbell, Cox, and McCubbins’ (2002) finding that divided government

weakens majority party agenda control in the Senate, since Republicans held the House

and the presidency during the post-switch Democratic majority. But, of course, the

Jeffords switch research design that we use throughout this paper, though well suited for

testing our hypotheses regarding the effects of majority status, is not purposed for testing

hypotheses about variations in majority party power. We include this discussion merely

as an aside, partly in hope of prompting future research dealing with the questions we

have raised.

Conclusion

In the literature on Senate decision-making, the roles of parties and majority

status often are murky. We have presented a test of hypotheses predicated on the

assumption that the Senate majority party can systematically and significantly bias the

Senate agenda to its advantage. Our findings support these predictions.

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By focusing on a short time frame—just a few months on either side of the

Jeffords switch—our results give us a narrow but potent window for isolating the effect

of a majority status "treatment" in the Senate. During our period of study, member

preferences (including Jeffords’s preferences, as we have shown), the preferences of

external actors, the legislative agenda, and numerous other potentially confounding

factors remained constant. Yet, Democrats’ probability of being rolled was markedly

worse than that of Republicans during their time as the majority party at the beginning of

the 107th Congress, but those fortunes were reversed following the Jeffords switch. In

contrast with some Senate literature claiming the contrary, it is clear that the Senate

majority party exercises some level of influence over decision-making within the

chamber.

House-based theories of congressional parties do not claim that the majority party

is akin to the strong, cohesive parties represented by the responsible-party Westminster

ideal (Lijphart 1984), and we certainly make no such claim about the Senate majority

party. Rather, we posit that majority party leaders wield various powers—in particular,

powers to influence the agenda—that allow them to manipulate outcomes. The results

presented here seem to offer substantial evidence that the Senate majority party, through

some means, manipulates outcomes for the benefit of its own members, and does so in

ways that have often gone unrecognized by Senate scholarship.

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Table 1. Effect of Jeffords switch on senators’ probability of being rolled

Coefficient, (SE), p-value

Dem(Predicted to be positive)

2.558**(0.139)0.000

PostSwitch(Predicted to be positive)

1.390**(0.157)0.000

Dem*PostSwitch -2.827**(0.198)0.000

Distance 2.153**(0.293)0.000

Constant -4.389**(0.171)0.000

-0.020**(0.002)0.000

Linear Combination z-test:PostSwitch + Dem*PostSwitch(Predicted to be negative)

-1.437**(0.121)0.000

Linear Combination z-test:Dem + Dem*PostSwitch(Predicted to be negative)

-0.268*(0.142)0.029

N 198Pseudo R2 0.1168Log-likelihood -1291.7813

Cells in right-hand column show extended-beta binomial coefficients, standard errors, and p-values are for one-tailed tests. ** Indicates coefficient significance exceeds 99 percent.* Indicates coefficient significance exceeds 95 percent.

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Table 2. Estimated probability of a Senator being rolled on a final passage vote before and after Jeffords switch, by party

Probability of being rolled on a final passage vote is:

Member’s party Pre-Jeffords Post-Jeffords

Republican 0.026 0.098

Democrat 0.214 0.061

Distanceit is set at the median value for members of each party.

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Figure 1. Modification of Figure 3.6d from Den Hartog and Monroe 2011

45

NOL=a* NOR

k

Mi=S

Q

FM

c

Minority no-offer zone

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Figure 2. Modification of Figure 3.6d from Den Hartog and Monroe 2011

46

NOL=a* NOR

k

MiFM=SQ

c

Minority no-offer zone

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Figure 3. Change in senators’ roll rates going from pre- to post-switch

-0.642

-0.462

-0.376

-0.344

-0.314

-0.269

-0.236

-0.222-0.2

-0.143-0.01

0.1790.245

0.2890.319

0.3410.381

0.4090.473

0.522-0.4

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0.4

Republicans Democrats Jeffords

Common-space score (first dimension)

Chan

ge in

rol

l rat

e

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Figure 4. Jeffords’s estimated W-NOMINATE scores on all votes through the given date.

26-Mar

3-Apr

11-Apr

19-Apr

27-Apr

5-May

13-May

21-May

29-May

6-Jun

14-Jun

22-Jun

30-Jun

8-Jul

16-Jul

24-Jul

1-Aug

9-Aug

17-Aug

25-Aug

2-Sep

10-Sep

-1

-0.8

-0.6

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1Republican Independent

Days

W-N

OM

INA

TE

scor

e

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