Energetic effects of stimulus intensity on prolonged simple reaction-time performance

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Psychological Research DOI 10.1007/s00426-010-0275-6 123 ORIGINAL ARTICLE Energetic eVects of stimulus intensity on prolonged simple reaction-time performance Robert Langner · Klaus Willmes · Anjan Chatterjee · Simon B. EickhoV · Walter Sturm Received: 29 September 2009 / Accepted: 23 December 2009 © Springer-Verlag 2010 Abstract The eYciency of cognition is modulated by energetic factors like eVort, fatigue or circadian variation, which aVect even the most basic cognitive operations. For instance, speeded detection in simple reaction-time (SRT) tasks usually slows down over time. The literature suggests that either mindlessness due to routinization or mental fatigue due to attentional resource depletion might underlie this decrement. We tested these assumptions in three 25-min visual SRT tasks using easy-to-detect high-intensity and hard-to-detect low-intensity stimuli presented in both blocked and mixed fashion. Mindlessness theory predicts that less monotonous stimulation (i.e. the mixed presenta- tion) would mitigate the time-related decrement for high- and low-intensity stimuli alike, whereas resource-depletion theory predicts opposite eVects of mixed presentation on high- versus low-intensity stimuli. Indeed, stimulus inten- sity and presentation mode cross-interacted signiWcantly, indicating that the performance decline was steeper for high-intensity stimuli but less steep for low-intensity stim- uli during mixed compared to blocked presentation, respec- tively. These results strongly suggest that the time-related eYciency decrement during prolonged SRT performance is related to accumulating mental fatigue. A conjecture is put forward that explains both resource depletion and mindless- ness from the perspective of self-regulation. Our study underscores the need to incorporate energetic factors into models of cognition to facilitate their translation into real- world applications. Introduction Human behaviour is inXuenced by energetic factors such as fatigue, arousal, eVort or circadian rhythms, which produce variation in the eYciency of information processing (Eysenck, 1982; Hockey, Coles & Gaillard, 1986; Sanders, 1983; van der Molen, 1996). Major impulses for studying the impact of energetic factors on human cognition have come from applied areas like clinical neuropsychology (cf. van Zomeren & Brouwer, 1994) or human-factors research (cf. Hancock & Desmond, 2001). This research revealed problems with translating models of cognition devoid of energetic considerations into real-world settings. Peter Hancock remarked in 1987: “It is the inability to incorporate these energetic aspects of behavior […] into linear processing models that has rendered the latter somewhat sterile and potentially misleading when applied simplistically to actual operational systems” (pp. 170–171). An example for this problem is provided by computa- tional models of simple reaction-time (SRT) performance R. Langner · K. Willmes · W. Sturm Neuropsychology Section, Department of Neurology, RWTH Aachen University, Aachen, Germany R. Langner · S. B. EickhoV Department of Psychiatry and Psychotherapy, RWTH Aachen University, Aachen, Germany A. Chatterjee Department of Neurology, Center for Cognitive Neuroscience, University of Pennsylvania, Philadelphia, USA S. B. EickhoV Research Centre Jülich, Institute of Neurosciences and Medicine, Jülich, Germany R. Langner (&) LFG Neuropsychologie, Neurologische Klinik, Universitätsklinikum Aachen, Pauwelsstr. 30, 52074 Aachen, Germany e-mail: [email protected]

Transcript of Energetic effects of stimulus intensity on prolonged simple reaction-time performance

Psychological Research

DOI 10.1007/s00426-010-0275-6

ORIGINAL ARTICLE

Energetic eVects of stimulus intensity on prolonged simple reaction-time performance

Robert Langner · Klaus Willmes · Anjan Chatterjee · Simon B. EickhoV · Walter Sturm

Received: 29 September 2009 / Accepted: 23 December 2009© Springer-Verlag 2010

Abstract The eYciency of cognition is modulated byenergetic factors like eVort, fatigue or circadian variation,which aVect even the most basic cognitive operations. Forinstance, speeded detection in simple reaction-time (SRT)tasks usually slows down over time. The literature suggeststhat either mindlessness due to routinization or mentalfatigue due to attentional resource depletion might underliethis decrement. We tested these assumptions in three 25-minvisual SRT tasks using easy-to-detect high-intensityand hard-to-detect low-intensity stimuli presented in bothblocked and mixed fashion. Mindlessness theory predictsthat less monotonous stimulation (i.e. the mixed presenta-tion) would mitigate the time-related decrement for high-and low-intensity stimuli alike, whereas resource-depletiontheory predicts opposite eVects of mixed presentation on

high- versus low-intensity stimuli. Indeed, stimulus inten-sity and presentation mode cross-interacted signiWcantly,indicating that the performance decline was steeper forhigh-intensity stimuli but less steep for low-intensity stim-uli during mixed compared to blocked presentation, respec-tively. These results strongly suggest that the time-relatedeYciency decrement during prolonged SRT performance isrelated to accumulating mental fatigue. A conjecture is putforward that explains both resource depletion and mindless-ness from the perspective of self-regulation. Our studyunderscores the need to incorporate energetic factors intomodels of cognition to facilitate their translation into real-world applications.

Introduction

Human behaviour is inXuenced by energetic factors such asfatigue, arousal, eVort or circadian rhythms, which producevariation in the eYciency of information processing(Eysenck, 1982; Hockey, Coles & Gaillard, 1986; Sanders,1983; van der Molen, 1996). Major impulses for studyingthe impact of energetic factors on human cognition havecome from applied areas like clinical neuropsychology(cf. van Zomeren & Brouwer, 1994) or human-factorsresearch (cf. Hancock & Desmond, 2001). This researchrevealed problems with translating models of cognitiondevoid of energetic considerations into real-world settings.Peter Hancock remarked in 1987: “It is the inability toincorporate these energetic aspects of behavior […] intolinear processing models that has rendered the lattersomewhat sterile and potentially misleading when appliedsimplistically to actual operational systems” (pp. 170–171).

An example for this problem is provided by computa-tional models of simple reaction-time (SRT) performance

R. Langner · K. Willmes · W. SturmNeuropsychology Section, Department of Neurology, RWTH Aachen University, Aachen, Germany

R. Langner · S. B. EickhoVDepartment of Psychiatry and Psychotherapy, RWTH Aachen University, Aachen, Germany

A. ChatterjeeDepartment of Neurology, Center for Cognitive Neuroscience, University of Pennsylvania, Philadelphia, USA

S. B. EickhoVResearch Centre Jülich, Institute of Neurosciences and Medicine, Jülich, Germany

R. Langner (&)LFG Neuropsychologie, Neurologische Klinik, Universitätsklinikum Aachen, Pauwelsstr. 30, 52074 Aachen, Germanye-mail: [email protected]

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(e.g. Miller & Ulrich, 2003; Ollman & Billington, 1972;Smith, 1995). In such models, energetic factors are usuallyconsidered noise, although many studies have demonstratedsystematic eVects of energetic variables such as sleepiness(van Dongen, Maislin, Mullington & Dinges, 2003), circa-dian rhythmicity (Wyatt, Ritz-De Cecco, Czeisler & Dijk,1999) or stimulating drugs (Wesensten et al., 2002).Indeed, in neuropsychology and sleep-deprivation research,SRT tasks are used to measure alertness (also termed psy-chomotor vigilance; cf. Lim & Dinges, 2008; Sturm &Willmes, 2001), which is an energetic, nonselective compo-nent of attention deWned as the ability to achieve and main-tain the readiness to respond to incoming information(Posner, 1978).

The resource theory of sustained performance

Another well-known energetic factor that aVects SRT per-formance is time on task (TOT). It has often been reportedthat SRT slows down over time (e.g. Buck, 1966; Gustafson,1986; Langner, Steinborn, Chatterjee, Sturm & Willmes,2010; Lisper & Ericsson, 1973; Lisper, Melin, Sjödén &Fagerström, 1977; Sanders, Wijnen & van Arkel, 1982; vanden Berg & Neely, 2006). The mechanism behind thisperformance deterioration is not fully understood yet, butearlier studies implicated reduced attentional controlbecause of mental fatigue. For instance, Lisper, Kjellbergand Melin (1972) used randomly mixed auditory stimuli offour intensities in a 2-h SRT task and reported a general RTincrease over time, which was, at least in the longest RTrange, signiWcantly larger for near-threshold than higher-intensity stimuli. This intensity-dependent eVect suggests aspeciWc impairment of top-down attentional control, onwhich the eYcient processing of near-threshold stimuli pre-sumably relies to a larger extent than the processing ofsalient, high-intensity stimuli.

The assumption of fatigue-related decreases in atten-tional control receives further support from a study inwhich the regularity of the interstimulus interval (ISI) wasmanipulated (constant 7.5 s vs. randomly varied 4–11 s)(Lisper & Törnros, 1974). This study revealed a signiW-cantly larger RT increase over time in the irregular-ISIthan in the regular-ISI condition. The latter conditionshould be less demanding for the controlled-attention sys-tem and thus less fatiguing: during regular ISIs it should beeasier to take short breaks from sustaining attention andmaintaining preparedness, processes which are eVortful(Gottsdanker, 1975; Näätänen, 1972).

Which are the mechanisms assumed to underlie thedevelopment of mental fatigue during prolonged SRT per-formance? Even seemingly very easy tasks like the speededdetection of single predeWned stimuli require the top-downcontrol of attention in order to be performed optimally

(Frith & Done, 1986; Henderson & Dittrich, 1998).Because such attentional control processes are transient(Smallwood & Schooler, 2006; Weissman, Roberts, Vis-scher & WoldorV, 2006; West, 2001), prolonged perfor-mance requires a mechanism that stabilizes or reactivatesthese processes to ensure continuous task engagement(Banich et al., 2000, 2009). This stabilization is an active,eVortful process (Mulder, 1986; Posner, Cohen, Choate,Hockey & Maylor, 1984; Sarter, Gehring & Kozak, 2006).Prolonged exertion of eVort, however, is assumed todeplete limited attentional resources (Grier et al., 2003;Smit, Eling & Coenen, 2004; Wright, Stewart & Barnett,2008). The result of this resource depletion is a state ofmental fatigue, which is characterised by a failure to furtherexert appropriate top-down control to maintain a stableallocation of cognitive resources to the task at hand(Hockey, 1997; Lorist et al., 2000; Matthews & Desmond,2002; van der Linden, Frese & Meijman, 2003; Wrightet al., 2007). As a consequence, when fatigued, the imple-mentation of task-speciWc cognitive processes cannot bemaintained at optimal levels, and performance declines.

These conclusions are supported by studies on vigilance,which typically employ a similar paradigm: prolonged go/no-go tasks with many more no-go than go stimuli (seeDavies & Parasuraman, 1982, for a review). The hallmarkof vigilance tasks is a time-related performance decrement,just like that observed during prolonged SRT tasks. Analy-ses based on signal detection theory indicated that thetime-related vigilance decrement is due to a reduction inperceptual sensitivity, which has been interpreted as adepletion of limited attentional resources (Helton & Warm,2008; Temple et al., 2000; Smit et al., 2004). This view isalso consistent with the Wnding that maintaining vigilanceposes substantial attentional demands and is perceived to bestressful (Grier et al., 2003; Szalma et al., 2004; Warm,Parasuraman & Matthews, 2008).

Mindlessness theory: a challenge to the resource-depletion account

Recently, the explanation of time-related performancedecrements in terms of attentional resource depletion hasbeen challenged: Robertson and collaborators (Manly,Robertson, Galloway & Hawkins, 1999; Robertson, Manly,Andrade, Baddeley & Yiend 1997) suggested an accountthat is based on the concept of understimulation, i.e. subop-timal levels of workload or cognitive demand. Accordingly,the repetitive nature of typical vigilance assignmentsinduces participants to withdraw their attentional eVortfrom the task and perform it in an increasingly mindless,routinized manner. Thus, the monotony of the situation isassumed to lead to the disengagement of consciousawareness of the task (including a preoccupation with

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task-irrelevant thoughts; Smallwood et al., 2004), resultingin a decline of performance (cf. Pattyn, Neyt, Henderickx &Soetens, 2008).

This mindlessness model of time-related performancedecrements during continuous tasks is mainly based onstudies using the sustained attention to response task(SART). In the SART, the go/no-go trial ratio of typicalvigilance tasks is inverted: observers have to respond asquickly as possible to the majority of the regularly pre-sented stimuli and to withhold their response to infre-quently interspersed non-targets. This design was chosen topromote the rapid routinization of the sensorimotorresponse over time. In support of the model it was foundthat RT in target trials prior to inhibition failures isdecreased compared to successful inhibitions, indicatingthat failures to maintain attention are preceded by periodsof increased routinization (Dockree et al., 2004; Manlyet al., 1999; but see Dockree, Kelly, Robertson, Reilly &Foxe, 2005). Further, participants who reported to commitmore absent-minded errors in everyday life also made moreerrors in the SART (Manly et al., 1999; Robertson et al.,1997). Another study reported that occasionally remindingparticipants of the task goal by means of “content-free”auditory cues improved SART performance signiWcantly(Manly et al., 2004). Finally, the mindlessness model isalso consistent with the Wnding that participants considervigilance tasks as boring (Scerbo, 1998) and with a studyshowing that the vigilance decrement is associated with adecrease in task-related eVort as indexed by physiologicalmeasures of sympathetic and parasympathetic tone (Pattynet al., 2008).

In conclusion, accumulating mental fatigue and growingmindlessness emerge from earlier studies as two candidatemechanisms that may be involved in the decrement of sus-tained performance with TOT. Here we investigated thegeneralizability of both accounts by testing which of themmight best explain time-related performance decrements inprolonged SRT tasks. To this end, we manipulated stimulusintensity and stimulation monotony to observe the eVect ofhigh versus low stimulus intensity in pure versus mixedblocks of trials on the time-related decline in performance.It is well established that SRT is longer with lower stimulusintensities (see Nissen, 1977, for a review) or when stimuliof diVerent intensities are presented in a randomly mixedmanner (see Los, 1996, for a review). In the present study,however, we focused on non-cognitive (energetic) eVects ofstimulus intensity and presentation mode. Below we willexplain our rationale and predictions in detail.

Experimental approach and predictions

Several lines of research suggest that attentional top-downcontrol processes get increasingly more involved with

increasing encoding diYculty (i.e. decreasing intensity orsalience) of the target stimulus: First of all, attentionenhances eVective stimulus strength (Reynolds, Pasternak& Desimone, 2000), which would be most important forspeeded detection when stimulus intensity is low. Further,in various paradigms used to study the interaction of top-down and bottom-up processes in the control of attention,stimulus salience has been shown to facilitate encoding bydriving bottom-up attention—a phenomenon called atten-tional capture (Turatto & Galfano, 2000). These captureeVects of highly salient stimuli can either support or chal-lenge the top-down control of attention, depending onwhether it is the target or irrelevant stimuli that are espe-cially attention-grabbing. For instance, visual search ismuch more easily performed when the target is salient; con-versely, search is substantially slowed by salient distractors(Nothdurft, 2006; Treisman & Gormican, 1988). ThisdiVerence has been interpreted as reXecting the need fortop-down attentional control when searching for low-salience targets. Furthermore, patients with attentional deW-cits (unilateral neglect) had greater impairments in eVortfulvisual search for nonsalient targets than in search for salientones (Aglioti, Smania, Barbieri & Corbetta, 1997).

These Wndings taken together suggest that the eYcientprocessing of task-relevant low-salience stimuli putsstronger demands on attentional top-down control pro-cesses. Therefore, from the perspective of the resourcemodel, low stimulus intensity should lead to a strongerdepletion of attentional resources over time, thus produc-ing a stronger performance decrement over time. In con-trast, from the perspective of the mindlessness model,high stimulus intensity should induce a steeper vigilancedecline over time, since high-intensity stimuli are easy todetect and should thus facilitate routinization and promotemindlessness.

To manipulate the monotony of the situation, which is apivotal variable in the mindlessness model, we varied thepresentation mode of the two diVerent stimulus types. Intwo “pure” experimental blocks, only high- or low-inten-sity stimuli were presented (highly monotonous condi-tions); in a third “mixed” experimental block, stimuli ofboth intensities were presented in a randomly mixed fash-ion (less monotonous condition). The unpredictability ofstimulus type on any given trial in the mixed conditionobjectively reduces monotony. Furthermore, it somewhatincreases task diYculty (as reXected by the typicallyincreased RT compared to non-mixed conditions; cf. Los,1996), which in turn should interfere with routinizationand mindlessness. Therefore, from the view of mindless-ness theory, we would predict that the mixed presentationentails smaller performance decrements for high- andlow-intensity stimuli alike, as compared to the “pure”conditions.

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In contrast, from the view of resource theory, the mixedpresentation should have a diVerent eVect on responses tohigh- versus low-intensity stimuli. The time-relatedincrease in RT to high-intensity stimuli should be largerunder the mixed than under the pure condition. This isbecause the interspersed low-intensity stimuli of the mixedcondition pose higher demands on the top-down attentionsystem, which, in turn, should lead to a stronger resourcedepletion over time. Conversely, the time-related increasein RT to low-intensity stimuli should be smaller under themixed than under the pure condition. This is because theinterspersed high-intensity stimuli of the mixed conditionpose lower demands on the top-down attention system,which, in turn, should mitigate the depletion of attentionalresources.

In sum, mindlessness theory predicts main eVects ofstimulus intensity (i.e. a smaller performance decrementwith hard-to-detect low-intensity stimuli) and presentationmode (i.e. a smaller performance decrement with the lessmonotonous mixed presentation), whereas resource theorypredicts no such main eVects but a cross-over interaction:the performance decrement over time should be smallerunder the pure high-intensity than low-intensity condition,and under the mixed condition the decrement shouldworsen for high-intensity stimuli but lessen for low-inten-sity ones. Additionally, we expected that mean RT, irre-spective of any time-related changes, should be shorter inhigh- versus low-intensity trials (cf. Nissen, 1977) as wellas in pure- versus mixed-presentation trials (cf. Los, 1996).We also expected an overadditive interaction betweenintensity and presentation mode, resulting in a larger eVectof mixing on low- than on high-intensity stimuli, which,according to Sanders (1977), would indicate an eVect ofimmediate arousal that oVsets the eVect of lower stimuluspredictability in the mixed-presentation condition (see Los,1996, for a detailed discussion).

In addition to the SRT task, we used two questionnairesto assess task-related changes in subjective state. Theseself-report measures comprised the Short Questionnaire forCurrent Strain (KAB; Müller & Basler, 1993), a measure ofsubjective strain, and the Dundee Stress State Question-naire—Short Version (DSSQ-S; Matthews, Emo & Funke,2005; Matthews et al., 2002), which assesses subjectiveperceptions of task engagement, energetic arousal, distress,and worry. Both questionnaires were given before andimmediately following the tasks. According to the mind-lessness model, one would expect that the mixed conditionis associated with less subjective strain and worry (i.e. task-irrelevant thoughts) and stronger self-reported task engage-ment. In contrast, according to the resource model, onewould expect that conditions containing low-intensity stim-uli induce stronger feelings of strain, and conditions con-taining high-intensity stimuli lead to a smaller decrease in

self-reported energetic arousal (i.e. perceived mentalfatigue).

Methods

Participants

The sample comprised 42 (15 female, 27 male) volunteers,aged 20–30 (M 23.6, SD 2.9) years, who were universitystudents recruited via advertisements on campus. Theywere paid 15D for their participation. The study was per-formed in accordance with the ethical standards laid downin the 1964 Declaration of Helsinki; all participants gavetheir informed consent prior to their inclusion in the study.The data of one participant were excluded from analysis,since they revealed a continuous, rhythmical response pat-tern against instructions. The majority (n = 38) of the sam-ple was right-handed (as determined with the EdinburghInventory, OldWeld, 1971), and all participants had normalor corrected-to-normal vision. Self-reports indicated thatno-one had slept unusually little the night before or hadconsumed substantial amounts of alcohol the day beforeor unusual amounts of nicotine or caVeine on the day oftesting.

Apparatus and task

The experiment was carried out in a dimly lit and quietroom. The task was presented via a standard IBM-compati-ble computer using the software Presentation 10.0 (Neuro-behavioral Systems Inc., Albany, CA, USA). Participantswere seated approximately 60 cm in front of the computerscreen. The task was to respond as fast as possible to asquare appearing at the centre of the screen. There werelarge, high-intensity squares (19.85° visual angle; 23.9 cd/m²) and small, low-intensity squares (0.96° visual angle;5.5 cd/m²); the background colour was dark-grey (5.0 cd/m²). Participants used an in-house-built optical responsebutton for responding to the stimuli with the index Wnger oftheir dominant hand. The stimuli were presented for 50 ms;the duration of the ISI varied randomly and was sampledfrom an exponential distribution with a mean of 900 msplus a constant period of 2,100 ms. Reaction time was mea-sured as the temporal diVerence between stimulus onset andresponse.

Self-report measures

The Short Questionnaire for Current Strain (KAB; Müller& Basler, 1993) was administered to assess subjective per-ceptions of strain and fatigue. This self-report measurecomprises eight pairs of adjectives on 6-point Likert-type

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rating scales describing opposite endpoints of diVerentstrain dimensions (e.g., stressed vs. relaxed; languid vs.fresh). Task-induced mental fatigue was assessed bycomparing the KAB total scores from before and after thesessions.

Subjective state was further assessed by means of fourscales of the Dundee Stress State Questionnaire—ShortVersion (DSSQ-S; Matthews et al., 2002, 2005): taskengagement, energetic arousal, distress, and worry. TheDSSQ-S consists of 30 items, which assess aspects ofarousal, motivation, aVect and cognition on 5-point Likert-type rating scales. In fact, energetic arousal is a subscale oftask engagement, which we decided to report separately,because it captures a facet of subjective state which,according to resource theorists, reXects mental fatigue andresource depletion (Matthews, Davies, Westerman & Stam-mers, 2000). In contrast, other, more cognitive items of thetask engagement scale assess aspects of self-perceivedmotivation and concentration. The distress scale comprisesitems related to tension, negative mood, and cognitions oflow conWdence and control. The worry scale assessesself-focused attention and cognitive interference by task-unrelated thoughts about personal concerns, motives andprevious experiences. The DSSQ-S was administeredbefore and after the session; changes in subjective statewere assessed by comparing pre- with post-task scores.These data were available from 31 participants only.

Design and procedure

In one part of the experiment, only high-intensity squareswere used (“pure-high” condition); in a second part, onlylow-intensity squares were used (“pure-low” condition); ina third part, high- and low-intensity squares were presentedin a randomly mixed way, creating two conditions: amixed, high-intensity (“mixed-high”) condition thatincluded all trials with high-intensity stimuli, and a mixed,low-intensity (“mixed-low”) condition that included all tri-als with low-intensity stimuli. Each of the three parts lasted25 min; their order was counterbalanced across partici-pants.

Before the task, participants answered a socio-demo-graphic and a handedness questionnaire (OldWeld, 1971), acurrent-state questionnaire asking for health status, alcohol,nicotine, and caVeine intake and amount of sleep during thenight before, as well as the KAB and DSSQ-S. Then, par-ticipants received written task instructions, after which theWrst part of the task started, including ten practice trials atthe beginning. Each part was followed by a break, whichlasted 10–15 min and started by answering the KAB andDSSQ-S to receive post-task measures of subjective state.During the breaks, full light was switched on and partici-pants were encouraged to move around to minimise transfer

eVects by providing time and distraction to recover fromfatigue and decreased arousal.

Results

Behavioural data

Before analysing the data, half the trials of the two pureconditions were removed to approximate the number of tri-als (and the reliability of RT measures based on them) tothe level of the mixed conditions. This was done by ran-domly dropping one member of a pair of successive pure-condition trials. Mean RT based on all trials and adjustedmean RT based on the remaining trials after removal werehighly correlated across participants in each of the fourconditions (all r = 0.99, p < 0.001). The trials of each run’sWrst minute were considered practice and were not includedin the analysis. Furthermore, trials with RT shorter than120 ms (0.15% on average) were discarded, since they werenot considered responses to experimental stimuli.Responses more than 550 ms after stimulus onset werecoded as errors of omission.

The analysis of TOT eVects was based on individual meanRT of consecutive 4-min time bins.1 Group averages for allsix time bins of all four conditions are shown in Fig. 1. Linesof best Wt using least-squares estimation were calculated foreach participant for the six time bins. The slope of the Wttedline indicated the overall linear trend of RT over time. Thisstrategy enabled us to speciWcally test linear changes in per-formance over time (the slope, or RT increase function; cf.Helton & Warm, 2008). Since the linear trend only reXectsRT variance that is explained by the global linear change inRT, the measure is relatively insensitive to varying short-term inXuences on performance (e.g. motivational shifts),which would not so much impact the slope of the linearincrease function but rather the goodness of its Wt to the data.Nevertheless, a quadratic term was included in the least-squares Wtting model to capture nonlinear changes that take anormal or inverted U-shaped form. This way we quantiWeddeviations from the linear change of RT like levelling oV oreven reversing the trend towards the end of the task, sincesuch nonlinear changes can have some impact on the lineartrend measure and might thus artiWcially inXate or reducediVerences between experimental conditions.

The average goodness of Wt (as indicated by thecoeYcient of determination) across conditions and partici-pants was M 0.380 (SD 0.293) for the linear model and M0.565 (SD 0.286) for the linear-plus-quadratic model.

1 All major analyses were repeated based on individual median RT asthe dependent variable, which yielded comparable results.

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Repeated-measures analyses of variance (ANOVAs)indicated for both models that the goodness of Wt didnot diVer signiWcantly between the four conditions [allF(3, 120) < 0.25]. In addition to the linear trend over time,we calculated the RT diVerence between the Wrst and lasttime bin for each participant (cf. Szalma et al., 2006).Although this approach only takes into account perfor-mance during two of the six time periods (Rogosa, 1995),this measure was taken to provide additional evidence forthe robustness of our Wndings. Group averages of individualRT slopes and diVerences between the Wrst and last time binfor all four conditions are given in Table 1.

The relationship between stimulus intensity (high vs.low), presentation mode (pure vs. mixed) and performancewas tested at the group level with repeated-measures ANO-VAs. Initial analyses based on mean RT of the Wrst and lasttime bin (instead of RT slope or diVerence score) revealedsigniWcant main eVects for stimulus intensity, presentationmode, and time on task: RT was signiWcantly shorter forhigh-intensity versus low-intensity stimuli [F(1, 40) =458.52, p < 0.001, partial �2 = 0.92], stimuli presented inpure versus mixed blocks [F(1, 40) = 41.50, p < 0.001, par-tial �2 = 0.51], and stimuli presented at the beginningversus the end of each run [F(1, 40) = 43.03, p < 0.001,partial �² = 0.52]. The only signiWcant interaction was thethree-way interaction between stimulus intensity, presenta-tion mode, and time on task: F(1, 40) = 8.07, p < 0.01,partial �2 = 0.17.

Figure 2 summarises the main results showing the aver-age RT slopes for all four conditions. The ANOVA of RTslopes yielded no signiWcant main eVects for stimulusintensity or presentation mode but, importantly, a signiW-cant crossed interaction between both factors [F(1, 40) =4.68, p < 0.05, partial �2 = 0.11], resulting in a larger slopefor the mixed-high compared to the pure-high condition buta smaller slope for the mixed-low compared to the pure-lowcondition (see Table 1). An ANOVA based on individualRT diVerences between the Wrst and last time bin conWrmedthis pattern of results [F(1, 40) = 8.07, p < 0.01, partial�2 = 0.17; see Table 1].

Subsequently, simple main eVects were tested separatelyfor both high- and low-intensity stimuli using paired t testswith p values adjusted for one-sided testing. The testsrevealed that the diVerence in mean RT slopes, which werenumerically steeper in the pure-low than the pure-high

Fig. 1 Mean reaction time (RT) across all six time bins for each con-dition (see text for further explanation). Error bars represent standarderrors of the mean adjusted for within-subject designs (cf. Cousineau,2005). Connecting lines between data points were added for illustra-tive purposes

Table 1 Means and standard deviations of measures of performancechange with time on task

RT reaction time. Linear RT slopes of the lines of best Wt represent RTincreases in ms per 4 min; RT diVerence is the diVerence in mean RT,DiVerence in missings the diVerence in the percentage of trials withoutresponse, between the last and Wrst time bin, respectively. Generally,positive values reXect increases with time on task. For quadratic RTslopes, however, negative values indicate inverted U-shaped trendswith time on task

Measure of change

Experimental condition

Pure-high Mixed-high Pure-low Mixed-low

M (SD) M (SD) M (SD) M (SD)

Linear RT slope 2.4 (5.5) 4.2 (4.9) 3.8 (5.2) 2.8 (4.3)

RT diVerence (ms)

11.2 (27.3) 23.5 (29.1) 19.7 (27.8) 12.4 (23.0)

Quadratic RT slope

¡1.3 (2.0) ¡0.3 (3.2) ¡0.7 (2.5) ¡0.1 (2.2)

DiVerence in missings (%)

1.0 (2.6) 1.1 (3.9) 0.7 (4.1) 2.4 (8.7)

Fig. 2 Mean slopes of the lines of best Wt across all six time bins,representing reaction-time increase with time on task for each condi-tion (see text for details). Error bars represent standard errors of themean adjusted for within-subject designs (cf. Cousineau, 2005). Con-necting lines between data points were added for illustrative purposes

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condition, did not reach signiWcance [t(40) = ¡1.15,p = 0.13]. When using mean RT diVerence scores as depen-dent variable, the numerical tendency approached signiW-cance [t(40) = ¡1.41, p = 0.08]. Further, the tests revealedthat mean RT slopes for high-intensity stimuli were signiW-cantly larger in the mixed- than in the pure-presentationcondition [t(40) = ¡1.80, p < 0.05]; for low-intensity stim-uli, the numerical diVerence in the expected direction didnot reach signiWcance [t(40) = 0.94, p = 0.18]. This patternwas conWrmed when tests were repeated using mean RTdiVerence scores as dependent variable: for high-intensitystimuli, a signiWcant diVerence between mixed- and pure-presentation was found [t(40) = ¡2.20, p < 0.05]; for low-intensity stimuli, the expected numerical diVerenceapproached signiWcance [t(40) = 1.28, p = 0.10].

As can be seen in Table 1, all mean quadratic RT slopeshave small negative values, which indicates a slightinverted U-shaped trend in RT over time across conditions.Subjecting the quadratic RT slopes of all four conditions toa repeated-measures ANOVA yielded neither signiWcantmain eVects for stimulus salience [F(1, 40) = 1.18, ns] orpresentation mode [F(1, 40) = 3.28, ns] nor a signiWcantinteraction [F(1, 40) = 0.44, ns]. It should be noted, though,that the eVect of presentation mode approached signiWcance(p = 0.08, partial �2 = 0.08).

Potentially confounding eVects of condition order weretested by including it as a between-subject factor in theANOVA. Importantly, no signiWcant three-way interactionwas found between order of condition, stimulus salience,and presentation mode [for RT slopes: F(5, 35) = 1.90, ns;for RT diVerence scores: F(5, 35) = 1.33, ns], and the two-way interaction between stimulus salience and presentationmode remained essentially unaVected [for RT slopes:F(1, 35) = 4.58, p < 0.05, partial �2 = 0.12; for RT diVerencescores: F(1, 35) = 7.71, p < 0.01, partial �² = 0.18]. Fortesting dependencies between initial response speed andperformance change over time, we calculated Pearson cor-relation coeYcients between intercept and slope of theWtted line and between mean RT of the Wrst time bin andRT diVerence score separately for each condition. Resultsare shown in Table 2. Correlation coeYcients signiWcantlydiVerent from zero were only found for the pure-highcondition.

Trials with missing responses were generally rare(pure-high: 1.7%; mixed-high: 1.2%; pure-low: 3.1%;mixed-low: 3.8%). Time-related increases in the relativenumber of missings are shown in Table 1. Owing to therelative rarity of missings, we did not calculate individualslopes for estimating linear increases in the number ofmissings over time. A repeated-measures ANOVA of thearcsine-transformed percentage of missed trials in the Wrstand last time bins of each condition yielded signiWcantmain eVects for stimulus intensity [F(1, 40) = 38.56,p < 0.001, partial �2 = 0.49) and TOT (F(1, 40) = 9.78,p < 0.01, partial �2 = 0.20). No other eVect reached statis-tical signiWcance.

An additional ANOVA of the data collapsed across timebins (mean RTs: pure-high: 236 ms; mixed-high: 245 ms;pure-low: 286; mixed-low: 304 ms) conWrmed both maineVects of stimulus intensity [F(1, 40) = 542.08, p < 0.001,partial �2 = 0.93] and presentation mode [F(1, 40) = 38.20,p < 0.001, partial �2 = 0.49] and also yielded a signiWcantinteraction [F(1, 40) = 5.05, p < 0.05, partial �2 = 0.11],showing that the diVerence in mean RT between the mixed-and pure-presentation conditions was larger for low- thanfor high-intensity stimuli.

Questionnaire data

The KAB pre- and post-task scores were compared bymeans of paired t tests for all three sessions. The KAB pre-task score (M 19.4, SD 5.4) was signiWcantly lower thaneach post-task score [pure-high: M 23.6, SD 6.2,t(40) = ¡4.6, p < 0.001; pure-low: M 26.6, SD 8.1,t(40) = ¡5.8, p < 0.001; mixed: M 26.1, SD 8.5,t(41) = ¡5.0, p < 0.001]. A subsequent ANOVA compar-ing pre- and post-task diVerences between sessions yieldeda signiWcant global eVect of session [F(2, 80) = 7.1,p = 0.002, partial �2 = 0.15]. Simple contrasts revealed thatthe pre–post KAB score diVerences for both the pure-lowand the mixed sessions were signiWcantly larger than for thepure-high session [pure-low vs. pure-high contrast:F(1, 40) = 14.0, p = 0.001, partial �2 = 0.26; mixed vs.pure-high contrast: F(1, 40) = 6.1, p = 0.017, partial�2 = 0.13]. This shows that mental fatigue increased gener-ally with time on task, but did more so over the presumably

Table 2 Pearson correlation coeYcients between measures of initial response speed and measures of change of response speed with time on task

RT reaction time. Mean RT refers to the Wrst time bin; RT diVerence refers to the diVerence between the last and Wrst time bin. *CorrelationssigniWcantly deviating from zero (p < 0.05)

Measures Experimental condition

Pure-high Mixed-high Pure-low Mixed-low

Intercept £ linear RT slope ¡0.53* 0.05 ¡0.14 ¡0.22

Mean RT £ RT diVerence ¡0.49* 0.07 ¡0.15 ¡0.22

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more demanding pure-low and mixed conditions, as com-pared to the pure-high condition.

Initial multivariate ANOVAs of the four DSSQ-S scalescores yielded a signiWcant eVect of time of administration(pre- vs. post-task) for the pure-high session [Pillai’strace = 0.64, F(4, 27) = 11.9, p < 0.001]. Subsequent uni-variate analyses revealed that task engagement decreasedsigniWcantly [F(1, 30) = 45.6, p < 0.001, partial �2 = 0.60]from pre-task (M 20.7, SD 3.9) to post-task (M 14.2, SD5.9). Not surprisingly, there also was a signiWcant decreasein energetic arousal [pre-task: M 7.9, SD 1.9; post-task: M5.3, SD 3.2; F(1, 30) = 35.7, p < 0.001, partial �2 = 0.54].At the same time, we found a signiWcant increase in distress[pre-task: M 7.9, SD 3.2; post-task: M 9.6, SD 3.6;F(1, 30) = 4.9, p = 0.035, partial �² = 0.14] and worry [pre-task: M 9.4, SD 5.4; post-task: M 12.4, SD 5.9;F(1, 30) = 5.5, p = 0.026, partial �2 = 0.16]. For the pure-low session, the pattern of state change was similar: themultivariate analysis indicated a global eVect of time ofadministration [Pillai’s trace = 0.81, F(4, 27) = 29.3,p < 0.001]. Also, task engagement again decreased overtime [pre-task: M 20.7, SD 3.9; post-task: M 12.8, SD 2.8;F(1, 30) = 98.9, p < 0.001, partial �2 = 0.77]; energeticarousal decreased as well [pre-task: M 7.9, SD 1.9; post-task: M 3.9, SD 2.4; F(1, 30) = 92.8, p < 0.001, partial�2 = 0.76]; and again, the distress score increased [pre-task:M 7.9, SD 3.2; post-task: M 9.7, SD 2.9; F(1, 30) = 4.7,p = 0.038, partial �2 = 0.14]. The modest increase in theworry score [pre-task: M 9.4, SD 5.4; post-task: M 10.6, SD6.2] did not reach signiWcance, however [F(1, 30) = 1.1,p = 0.297, partial �2 = 0.04]. Finally, a slightly diVerentpattern was found for the mixed session [Pillai’strace = 0.73, F(4, 27) = 18.2, p < 0.001]. Here again, bothtask engagement [pre-task: M 20.7, SD 3.9; post-task: M13.2, SD 5.8; F(1, 30) = 46.0, p < 0.001, partial �2 = 0.61]and energetic arousal [pre-task: M 7.9, SD 1.9; post-task: M4.9, SD 3.2; F(1, 30) = 26.0, p < 0.001, partial �2 = 0.46]decreased. The numerical increase in the distress score,however, failed signiWcance [pre-task: M 7.9, SD 3.2; post-task: M 9.4, SD 3.7; F(1, 30) = 2.8, p = 0.102, partial�2 = 0.09], whereas the worry score increased signiWcantly[pre-task: M 9.4, SD 5.4; post-task: M 13.0, SD 5.9;F(1, 30) = 6.0, p = 0.005, partial �2 = 0.24].

Subsequent ANOVAs comparing the size of the time-related state changes (pre–post diVerences) between thethree sessions for each of the four DSSQ-S scales yieldedan overall eVect of session only for energetic arousal[F(2, 60) = 3.6, p = 0.035, partial �2 = 0.11] and worry[F(2, 60) = 4.0, p = 0.023, partial �2 = 0.12]. Time-relatedchanges in task engagement and distress scores were notsigniWcantly diVerent between sessions (all Fs < 1). Simplecontrasts revealed that the pre–post decrease in the energeticarousal score during the pure-low session was signiWcantly

larger than during the pure-high session [F(1, 30) = 5.8,p = 0.023, partial �2 = 0.16] and tended to be larger thanduring the mixed session [F(1, 30) = 3.7, p = 0.064, partial�2 = 0.11]. Energetic arousal decreases during mixed andpure-high sessions did not diVer signiWcantly (F < 1). Fur-thermore, simple contrasts showed that the increase in theworry score during the pure-low session was signiWcantlysmaller than during the mixed session [F(1, 30) = 9.3,p = 0.005, partial �2 = 0.24] and tended to be smaller thanduring the pure-high session [F(1, 30) = 3.2, p = 0.082, par-tial �2 = 0.10]. Worry score increases during mixed andpure-high sessions did not diVer signiWcantly (F < 1).

Discussion

Our results revealed a signiWcant overall increase in meanRT with TOT in three 25-min continuous visual SRT tasks,conWrming earlier studies (e.g. Lisper & Ericsson, 1973;Lisper & Törnros, 1974; Sanders et al., 1982, Exp. 2).Since there was a parallel increase in the (overall rathernegligible) number of missed responses, this RT increasecannot be attributed to a shift of the speed–accuracy trade-oV towards higher accuracy, thereby sacriWcing speed.More importantly, the results corroborated the predictionsderived from the resource-depletion theory of vigilance(Grier et al., 2003; Helton et al., 2005; Helton & Warm,2008; Smit et al., 2004) but not those derived from themindlessness model of performance decrements during sus-tained attention (Manly et al., 1999; Robertson et al.,1997): Although the numerically larger time-related RTincrease for low- compared to high-intensity stimuli in purepresentation conditions did not reach signiWcance, it stilltended toward the opposite of what was predicted based onmindlessness theory. Even stronger support for resourcetheory comes from the cross-over interaction between stim-ulus intensity and presentation mode: for high-intensitystimuli, the time-related RT increase became larger duringthe mixed presentation compared to the pure one, whereasfor low-intensity stimuli it became smaller. Subsequentcomparisons of simple main eVects largely conWrmed thisresult.

Examining potential quadratic trends over time (i.e. RTchanges of a U-shaped form) revealed that all coeYcientshad a small negative mean value. This might reXect aslightly accelerated RT increase early in the task or a small“Wnal spurt” RT decrease towards the end or both. Impor-tantly, the coeYcients did not signiWcantly diVer betweenconditions, ruling out the possibility that the observeddiVerences in linear RT trend between conditions were dueto the diVerential impact of quadratic changes. This alsodisconWrms the visual impression (cf. Fig. 1) that the diVer-ence between pure- and mixed-high conditions is mainly

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driven by the stabilization of RT during the last 8 min ofthe pure-high condition.

The signiWcant changes in subjective-state measuresindicate that our TOT manipulation was successful in pro-ducing mental fatigue, broadly supporting resource theory.The overall increase in the KAB score demonstrates thatour cognitively little demanding SRT task elicited per-ceived strain over time. This is consistent with a previousstudy that used a forewarned SRT task (Langner et al.,2010). It also corresponds to the results of a study whichreported elevated levels of subjective strain after perform-ing a very simple, monotonous simulated driving task incombination with a highly compatible choice RT task over25 min (Fischer, Langner, Birbaumer & Brocke, 2008).Further, the larger increase in the KAB score during thepure-low and mixed sessions compared to the pure-highsession shows that the former were perceived to inducemore strain (i.e. mental fatigue) over time than the latter.We argue that this Wnding supports the assumption ofresource theory that both sessions containing hard-to-detectlow-intensity stimuli (i.e. the pure-low and mixed sessions)require more top-down attentional control and, thus, inducemore resource depletion and feelings of strain.

The DSSQ-S Wndings largely match those of previousstudies assessing subjective-state changes during prolongedSRT or vigilance tasks using the long or short version of theDSSQ (Helton & Warm, 2008; Langner et al., 2010; Szalmaet al., 2004; Temple et al., 2000): Participants reportedfeeling less energetically aroused after the session thanbefore its start, and task engagement was perceived to behigher before the session than at its end. Both eVects agreewell with the resource-depletion account. The elevation ofself-reported distress is consistent with studies demonstrat-ing that participants perceive prolonged monotonous RTtasks as stressful (Hancock & Warm, 1989; Langner et al.,2010; Szalma et al., 2004). Only the increase in self-reported worry (i.e. task-unrelated thoughts) is at odds withWndings from previous vigilance studies, which eitherreported no increase (Szalma et al., 2004) or a decrease(Helton & Warm, 2008; Temple et al., 2000) in such inter-fering task-irrelevant cognitions. Their signiWcant increaseover time in this study is evidence for “absent-mindedness”during performance, i.e. mindlessness theory. The diVer-ence compared to previous Wndings might be related to thehigher cognitive demands of the vigilance tasks used previ-ously, which required not only stimulus detection but alsostimulus discrimination, possibly preventing mind-wander-ing more than the easier SRT tasks do. Alternatively, thediVerence might also be related to using the short version ofthe DSSQ and associated diVerences in item content in ourstudy (cf. Matthews et al., 2005).

Apart from these global changes in subjective state, twosigniWcant diVerences between the sessions emerged: Wrst,

energetic arousal was perceived to decrease more stronglyduring the pure-low session than during both the pure-highand mixed sessions, although the latter diVerence just failedsigniWcance. This pattern indicates that our intensity manip-ulation had a modest eVect on perceived energetic arousal,such that arousal was reported to be somewhat lower whenno high-intensity stimuli were present, that is, when atten-tional demand was constantly high. Second, task-unrelatedthoughts were reported to have increased less during thepure-low session than during both the pure-high or mixedsessions, although the former diVerence just failed signiW-cance. This pattern of results is neither fully consistent withmindlessness nor with resource theory. The easier of thetwo highly monotonous conditions (i.e. pure-high), whichshould promote routinization and mindlessness more thanthe more diYcult pure-low condition, indeed showed a ten-dency for a larger increase in perceived absent-mindedness.The report of less task-irrelevant thoughts during the highlymonotonous pure-low session than during the objectivelyless monotonous mixed session may appear at odds withmindlessness theory, but this Wnding might be due to anovercompensation of the mindlessness-promoting eVect ofmonotony by the mindlessness-preventing eVect of atten-tional demand. This demand was objectively higher duringthe pure-low condition, which contained only hard-to-detect low-intensity stimuli. In conXict with mindlessnesstheory, however, is the absence of any diVerence in self-reported task-irrelevant thoughts between the highlymonotonous, easy pure-high and the objectively lessmonotonous and more diYcult mixed session, since theformer condition should deWnitely promote more routiniza-tion and mind-wandering.

All data taken together, we argue that the steeper RTincrease in mixed-high compared to pure-high trials isattributable to the resource-demanding eVect of the inter-spersed hard-to-detect low-intensity stimuli. Alternatively,it might be argued that this diVerence may be due to thelower stimulation level in the mixed-high condition, sincethere obviously were only half as many more arousinghigh-intensity stimuli compared to the pure-high condition.However, the immediate-arousal eVect of the high-intensitystimuli (cf. Sanders, 1977) would probably have oVset anyof these subtler context eVects present at the time of theresponse. Also, the unpredictability of stimulus type in themixed condition is a source of arousal itself, which addi-tionally counteracts the smaller stimulation eVect in themixed condition (see Berlyne, 1960, or PfaV, 2006, fordetailed discussions of the relationship between uncertaintyand arousal).

In a similar vein we argue that the smaller RT increase inmixed-low compared to pure-low trials is attributable to theresource-saving eVect of the interspersed easy-to-detecthigh-intensity stimuli. Although the higher initial RT levels

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in the mixed-low compared to the pure-low condition mightalso suggest a regression-to-the-mean artefact as a possiblecause for the smaller RT increase in the mixed-low condi-tion, this explanation can be excluded, since initial RTscores were not inversely correlated with measures of per-formance change (Rogosa & Willett, 1985). In sum, thepattern of our results provides strong evidence in favour ofthe resource-depletion model as an explanation of the per-formance decline during continuous SRT tasks. Neverthe-less, some of the self-report data also attest to an increase intask-unrelated thoughts (i.e. mindlessness) during sustainedSRT performance.

The interpretation of our results in terms of resource theoryagrees well with research on vigilance, which demonstratedthat conditions placing higher demands on attention (e.g. highevent rates or degraded stimuli) lead to stronger performancedecrements over time (Nuechterlein, Parasuraman & Jiang,1983; Parasuraman, 1979; Smit et al., 2004). A meta-analysis(See, Howe, Warm & Dember 1995) conWrmed that the likeli-hood of a vigilance decrement increases with task diYculty.Low conspicuity, or salience, of targets turned out to be thestrongest predictor for a large decrement (see also Helton &Warm, 2008; Temple et al., 2000). The study by Temple et al.(2000) also revealed that decreased target salience is associ-ated with elevated ratings of perceived workload and distressin comparison to a high-salience condition.

Are resource depletion and mindlessness related to each other? A conjecture

The results of our study support the hypothesis that theeYciency of information processing even in elementary cog-nitive tasks gets compromised over time if the continuousallocation of attention is required. In line with earlier studies,our data suggest that the performance decrement with TOT isrelated to demands on top-down attentional control. A uniWedexplanation of time-related decrements in various cognitiveprocesses that rely on top-down control is oVered by assum-ing a limited mental resource that is essential to all these con-trol processes but gets depleted with prolonged continuoususe. This notion is inspired by recent conceptualizations ofself-regulatory strength as a depletable mental resource(Baumeister, Vohs & Tice, 2007; Muraven & Baumeister,2000). In fact, eVorts to sustain attention towards a monoto-nous task over extended periods of time may be considered aprime example of self-regulation. Thus, we propose that pro-longed eVortful attention leads to reduced self-regulatorypower, which we consider a hallmark of mental fatigue.

Can this proposal also help to explain Wndings that sup-port mindlessness theory? After all, there is good evidencefor either model in the literature. In fact, even though ourresults strongly argue for the resource-depletion model,they do not completely refute mindlessness theory, since it

may still be argued that our manipulations were not strongenough to elicit reliable diVerences in the processes deemedrelevant in the mindlessness model. The self-reportedincrease in task-irrelevant thoughts in our study providessome support for mindlessness theory, too. Of course,diVerent Wndings in diVerent studies can always beexplained away by more or less subtle methodologicaldiVerences. This provides an easy but often unsatisfactorysolution. We argue instead that both theories are not so con-tradictory after all, but rather complementary. That is tosay, both phenomena, mental fatigue and mindlessness, areassociated with sustained performance and can explain cer-tain aspects of performance decline over time.

We suggest that our above assumption that reduced self-regulatory power underlies the failure to maintain optimalperformance via destabilizing cognitive control helps toreconcile the two theoretical positions. Their seeming con-tradiction dissolves when adopting the self-regulation per-spective, from which both phenomena can be explained asconsequences of the decrease in self-control strength withTOT: On the one hand, reduced self-control strength pre-sumably results in diminished goal maintenance, leading to“absent-mindedness.” Recent research indicates that goalmaintenance may be especially challenged under “simple”task conditions without interference, conXict or dual-taskdemands, as is characteristic of SRT tasks (Dreisbach &Haider, 2008; Goschke & Dreisbach, 2008; Kane & Engle,2003). There, individuals are assumed to need more eVort-ful control to “stay on the job,” which would render SRTtasks especially susceptible to reduced self-regulatorypower (cf. Walker, Muth, Odle-Dusseau, Moore, & Pilcher,2009). These Wndings also agree with the proposal ofHockey (1986) that the vigilance decrement may be at leastpartially due to diYculties in maintaining a speciWc task set.

On the other hand, reduced self-control strength presum-ably results in exerting less attentional eVort, leading to adiminished eYciency of task-relevant computationalprocesses (cf. Hockey, 1997; Sarter et al., 2006). This con-jecture implies a subtle qualitative diVerence in howmindlessness and reduced attentional eVort aVect perfor-mance: the former reXects an impaired allocation of atten-tion, whereas the latter reXects a deWcit in the intensity ofallocated attention. Thus, both mind-wandering and theunstable allocation of attentional eVort may be two sides ofthe same coin—depletion of self-regulatory power. Furtherresearch is needed to test this conjecture with diVerent,possibly parametric manipulations of attentional demandand independent measures of self-control strength.

Limitations of the study

There might be some potential methodological concernsrelated to the comparison of pure with mixed blocks of

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trials: For instance, the signiWcantly longer mean RT inmixed versus pure conditions could be taken as evidencefor increased computational diYculty that could possiblyentail higher energetic costs, too, as would be reXected in asteeper time-related RT increase. The potential computa-tional processes underlying this TOT-independent meanRT diVerence (i.e. “mixing costs”) are comprehensivelydiscussed by Los (1996). However, regarding energeticmodulations reXected in the time-related RT increase, ourdata reveal opposite eVects for high- versus low-intensitystimuli in the mixed compared to the pure conditions,whereas the assumption of higher energetic costs associatedwith mixing per se would predict an intensity-independenteVect of mixing. This provides evidence against theassumption of generally increased energetic costs associ-ated with the mixed presentation and has implications fortheories about the cognitive mechanisms that underlieintensity-mixing costs in SRT tasks, since this result ismore consistent with notions of automatic, stimulus-drivenprocesses that pose little attentional demands.

Further, the diVerent number of stimuli with the sameintensity in the pure versus mixed conditions might haveentailed diVerential eVects of stimulus-speciWc practice orhabituation or both. These eVects cannot be completelyexcluded, but the following arguments may show that thesepotential confounds are unlikely to undermine the interpre-tation of our results: First of all, practice and habituationhave been previously shown to have no substantial impacton prolonged SRT performance (Lim & Dinges, 2008;Lisper & Törnros, 1974). Further, if still present to somedegree, practice and habituation should work in oppositedirections, and their small eVects may thus cancel eachother out or at least diminish each other further. Moreimportantly, diVerential practice and habituation eVectsbetween mixed and pure blocks could not explain why inthe mixed condition the time-related performance declinefor low- versus high-intensity stimuli should change inopposite directions compared to the pure conditions.Finally, and more generally, these potential confounds areinherent to all blocked-mixed designs and can only beavoided by introducing other confounds (e.g. presentingtwice as many trials in the mixed compared to the blockedconditions; see Los, 1996, p. 163, for a related discussion).Nevertheless we think that this slight uncertainty does notoutweigh the potential usefulness of the blocked-mixeddesign, given that the potential confound is taken into con-sideration.

A further limitation is the availability of DSSQ-S datafor only about three quarters of the sample. For the remain-der of the sample, the eVects of our manipulations onself-reported task engagement, energetic arousal, distressand worry can only be assumed to be similar. Since all

participants were sampled from the same population, thisassumption may be warranted.

Conclusion

Our results largely support the resource-depletion theoryof SRT performance decline with TOT and disconWrmpredictions derived from mindlessness theory: First, thetime-related performance decrement was not smaller (aspredicted from mindlessness theory) but tended to be largerfor attentionally demanding low-intensity stimuli. Second,contrary to the prediction from mindlessness theory, thetime-related decrement did not become generally smallerwhen stimuli of both intensities were presented in a lessmonotonous, randomly intermixed fashion. Instead, thedecrement for high-intensity stimuli worsened when atten-tionally demanding low-intensity stimuli were introduced,whereas the decrement for low-intensity stimuli lessenedwhen attentionally undemanding high-intensity stimuliwere introduced. These eVects argue for a model thatregards time-related decrements in SRT performance asmediated by resource depletion (i.e. mental fatigue),induced by prolonged attentional demands. A conjecturethat explains both resource depletion and mindlessness asconsequences of reduced self-regulatory power was sug-gested but needs empirical testing. This conjecture mightalso apply to other cognitive tasks that show a performancedecline over time, particularly vigilance tasks and othertasks involving continuous top-down control.

Taking a more general perspective, our data conWrm thesigniWcant inXuence of energetic variables on elementarycognitive processes. These results should encourage theo-rists to consider the impact of energetic factors on thebehaviour under scrutiny more systematically. In keepingwith Hockey et al. (1986) we maintain that including ener-getic variables in models of human cognition is an impor-tant and necessary step towards better understanding theworkings of the human mind. This approach may alsoimprove translating basic research Wndings into real-worldapplications, for instance by deWning energetic boundaryconditions for the applicability of cognitive models orincluding energetic factors as model parameters. Thisappears even more important when considering today’sautomated world and its job demands, which, in manycases, have moved away from physical work towards cog-nitive tasks like sustained monitoring and decision making.

Acknowledgments Robert Langner was supported by the DeutscheForschungsgemeinschaft (DFG, IRTG 1328). We thank Anita Kosch-mieder for help with data collection and Jan Lonnemann for technicalassistance. We are grateful to William Helton, Bob Hockey, MichaelSteinborn, Thomas Fischer and Susanne Leiberg for helpful commentson earlier versions of the manuscript.

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