In Press: Jep:lmc

Based on the executive-attention theory of working memory capacity (WMC; e.g., Kane, Conway, Hambrick, & Engle, 2007) we tested the relations among WMC, mind wandering, and goal neglect in a sustained-attention-to-response task (SART; a go/no-go task). In three SART versions, making conceptual versus perceptual processing demands, subjects periodically indicated their thought content when probed following rare no-go targets. SART processing demands did not affect mindwandering rates, but mind-wandering rates varied with WMC and predicted goal-neglect errors in the task; furthermore, mind-wandering rates partially mediated the WMC-SART relation, indicating that WMC-related differences in goal neglect were due, in part, to variation in the control of conscious thought. Working memory and mind wandering 3 Why does working memory capacity (WMC), as measured by complex memory-span tasks, predict individual differences in fluid cognitive abilities? Attentional theories argue that WMC tasks’ predictive power derives largely from their tapping domain-general, executive-control capabilities, which are also widely important to complex cognition (e.g., Hasher, Lustig, & Zacks, 2007; Kane, Conway, Hambrick, & Engle, 2007). Some supporting evidence comes from correlations between WMC and simple attention tasks that make limited memory demands, such as the antisaccade task. Here, higher-WMC subjects better restrain the habitual response of orienting towards a visual-onset cue than do lower-WMC subjects, allowing them to more successfully act according to the task goal of looking in the opposite direction (e.g., Kane, Bleckley, Conway, & Engle, 2001; Unsworth, Schrock, & Engle, 2004). Some of the WMC-related variation in attention-task performance seems attributable to individual differences in maintaining sufficient access to the current task goals so that they, rather than habit, control responding (see Kane, Conway et al., 2007). In the Stroop task, for example, which elicits habit-goal conflict (i.e., word reading versus color naming), Kane and Engle (2003) presented subjects with either many incongruent, mismatching trials ( “BLUE” in red) or many congruent, matching trials ( “RED” in red). With many incongruent trials, the context reinforced the color-naming goal because most trials presented word-color conflict and thus demanded ignoring the words; active goal maintenance was thus aided (or supplanted) by environmental support. In contrast, with many congruent trials, goals were not contextually reinforced. Word reading allowed correct responses on most trials, so subjects had to actively maintain goal access in order to respond appropriately to the rare incongruent trials. Indeed, WMC-related differences were strongest in high-congruent conditions, where goal maintenance was most critical: Lower-WMC subjects committed 50 – 100% more errors than did higher-WMC subjects on incongruent trials, apparently maintaining less suitable access to goal-relevant information. Working memory and mind wandering 4 We suggest that lower-WMC subjects show frequent “goal neglect” (Duncan, 1995) because goal maintenance fluctuates across trials depending, in part, on the ability to resist interference from task-unrelated thoughts (TUTs). Simply put, lower-WMC subjects seem less able to sustain attention to the demands of the ongoing task. This intuitive view is not universally accepted, however. Oberauer and colleagues (e.g., Oberauer, Süß, Wilhelm, & Sander, 2007; Wilhelm & Oberauer, 2006) instead attribute such goal-neglect failures to insufficient binding of stimulus-response (S-R) mappings. At a broad level, Oberauer claims that WMC variation reflects the ability to establish, maintain, and decouple mental bindings among a limited number of activated representations, as in associating auditory stimuli to temporal sequences, visual stimuli to locations, or novel responses to imperative stimuli. In tasks such as Stroop and antisaccade, then, lower-WMC subjects may respond slowly, or more frequently in error, because they cannot as effectively bind incompatible S-R mappings, not because their attention cannot be as effectively maintained throughout the task. In fact, Wilhelm and Oberauer (2006) found that both WMC and fluid intelligence correlated strongly with performance of choice-response-time tasks presenting arbitrary S-R mappings. Here we tested the binding versus attentional views of WMC variation in goal neglect by probing subjects’ thoughts during an executive-control task. If insufficient binding, or drift in its efficacy, is responsible for goal-neglect errors, then subjects’ TUT experiences, and WMC-related variation in mind wandering, should be irrelevant. If, however, lapses of goal maintenance that accompany (or result from) slips of thought actually contribute to goal-neglect errors, and if WMC variation predicts subjects’ goal-maintenance efficacy, then TUT intrusion rates should mediate (at least partially) the relation between WMC and goal neglect. Indeed, TUTs often predict performance errors (Smallwood & Schooler, 2006) and lower-WMC subjects experience more mind wandering during effortful daily-life activities than do higher-WMC subjects (Kane, Brown et al., 2007). Indirect Working memory and mind wandering 5 evidence thus supports our claim that individual differences in attention control and mind wandering contribute to WMC’s association with goal maintenance and neglect. Our more direct test, here, attempted to link goal-neglect errors to subjective experience within a task yielding high rates of goal neglect and mind wandering. The Sustained-Attention-toResponse Task (SART; Robertson, Manly, Andrade, Baddeley, & Yiend, 1997) is a go/no-go task requiring responses to all stimuli except infrequent targets. Whereas previous SART research has administered thought probes at least several seconds (to half a minute) following critical target events (e.g., Smallwood et al., 2004; Smallwood, McSpadden, & Schooler, 2007), we probed thoughts immediately following no-go targets to link in-the-moment subjective experience to performance. We predicted that TUT reports would be accompanied by more errors than would on-task thought reports and that higher-WMC subjects would experience fewer TUTS, and commit fewer performance errors, than would lower-WMC subjects (moreover, to the extent that response-time variability may also reflect more subtle slips of thought and goal neglect, we also predicted that WMC and TUT rate would predict intraindividual RT variation). Of most importance, we hypothesized that TUT rate would partially mediate the relation between WMC and SART performance (accuracy and RT variability), indicating that attention control contributes to WMC’s influence on response-conflict tasks. Of secondary interest, we adapted the SART to contrast the effects of different ongoing processing demands on mind wandering, namely conceptual versus perceptual judgments (subjects either responded to words from one semantic category and withheld responses to another category, or responded to words in one font and withheld responses to another font). This manipulation was motivated by research suggesting that TUT frequency decreases when people engage in more conceptual, versus perceptual, processing. For example, subjects report fewer TUTs when studying and recalling words according to conceptual than orthographic dimensions (e.g., musical instruments Working memory and mind wandering 6 versus words beginning with “P”; Smallwood, Obansawin, & Heim, 2003; Smallwood, Baracia, Lowe, & Obonsawin, 2003). Most relevant here, Smallwood, Heim, Riby, and Davies (2006) reported lower TUT rates for subjects completing a “semantic SART,” where subjects responded to words and withheld responses to “XXXXX” strings, versus a perceptual SART that replaced all words with “OOOOO” strings. This finding warrants further examination, however, because the “semantic” benefit only occurred for subjects instructed to memorize the SART words for a subsequent test, and not for subjects who encoded the words incidentally. We therefore followed-up this work by manipulating the SART’s conceptual demands while more closely matching other task features. Finally, we tested the association between in-the-moment TUT reports and general retrospective reports of cognitive failures with the Cognitive Failures Questionnaire (CFQ; Broadbent, Cooper, FitzGerald, & Parkes, 1982). The CFQ assesses everyday attention, memory, and motor failures, and modestly predicts SART errors (Robertson et al., 1997) and TUT rates (Smallwood et al., 2004). We sought to replicate these findings while pitting our objective WMC measures against the CFQ in predicting SART performance and TUTs. METHODS Subjects Two-hundred forty-four undergraduates (aged 18 – 35) completed WMC and SART sessions during 1 semester. We dropped data from 1 subject who didn’t follow SART instructions. WMC Screening In 90 min sessions, we tested 3 – 6 subjects using 3 automated complex-span tasks: operation span (OSPAN), symmetry span (SSPAN), and reading span (RSPAN). The tasks required subjects to maintain access to memory items while completing an unrelated processing task with an individualized response deadline (M + 2.5 SDs), calculated during 15 processing-task-only items (Unsworth, Heitz, Schrock, & Engle, 2005). In OSPAN, subjects verified solutions to compound Working memory and mind wandering 7 equations. In RSPAN, subjects verified meaningfulness of sentences. In SSPAN, subjects verified symmetry of black-and-white matrix patterns. In OSPAN and RSPAN, a capital letter (randomly selected among 12) appeared for 250 ms, 200 ms after either operation/reading verification or response deadline. After 3 – 7 verification-letter pairs, all 12 letters appeared on-screen and subjects identified, via mouse-click, the presented letters in serial order. In SSPAN, one square of a 4 × 4 grid was shaded red for 650 ms, 200 ms after either symmetry verification or response deadline. After 2 – 5 verification-grid pairs, subjects recalled the locations of the colored squares in serial order by mouse-clicking on an empty grid. The tasks presented each set length (3 – 7 in OSPAN and RSPAN; 2 – 5 in SSPAN) 3 times, randomly ordered for each subject. The span score was the sum of items recalled in serial position (Conway, et al., 2005). We converted span scores to z scores and averaged them into a WMC composite. Scores correlated r = .65 (RSPAN × OSPAN), r = .56 (OSPAN × SSPAN), and r = .53 (SSPAN × RSPAN). The WMC composite was normally distributed (skew = -.64; kurtosis = .07) SART Design and Materials The design was a 3 × 2 mixed-model factorial, with SART type (Semantic, Perceptual, Perceptual-Semantic) manipulated between subjects and stimulus type (Target, Non-target) manipulated within subjects. We defined targets as the “no-go” trials presenting an infrequent stimulus type and requiring restraint of the prepotent “go” response. In Semantic SART, non-target words came from one category (e.g., animals) and no-go targets from another (e.g., foods), counterbalanced across subjects. In Perceptual SART, non-target words appeared in lowercase type and no-go targets in uppercase. In a third condition, PerceptualSemantic, subjects made perceptual decisions but targets and non-targets differed on both dimensions (e.g., animals vs. FOODS). Animal and food names (excluding animals commonly eaten) Working memory and mind wandering 8 for Semantic and Perceptual-Semantic SARTs came from Battig and Montague (1969). We drew words for Perceptual SART quasi-randomly from all Battig-Montague categories. Stimuli appeared in black against a white background, in 18 pt Courier-New font, via CRT or LCD monitors. Procedure We tested subjects individually in sound-attenuated rooms with white noise machines. Subjects completed a modified CFQ and then the SART. CFQ-Memory and Attention Lapses (CFQ-MAL). We modified the CFQ to present only its items about memory and attention lapses; we also created new items and drew others from similar questionnaires (Brown & Ryan, 2003; Reason & Mycielska, 1982; Sunderland, Harris, & Baddeley, 1983; for the full scale, see http://www.uncg.edu/~mjkane/memlab. html). This computerized CFQ-MAL presented 40 questions (with responses on a 1 – 5 scale: “Never,” “Rarely,” “Once In A While,” “Often,” “Very Often”); subjects responded via key-press. Total score reflected the item sum. For our sample (N = 242; data from 1 subject were lost), principal-components analysis yielded a first component (eigenvalue = 11.5) accounting for 29% of the variance; the second (eigenvalue = 2.1) accounted for only 5.3%, so we calculated one score for each subject (M = 111.5, SD = 19.1, skewness = 0.64, kurtosis = 0.67). SART. An experimenter read aloud on-screen instructions. Subjects were to press the space bar as quickly as possible to non-targets and withhold responses to targets. Subjects completed 10 practice trials before seeing thought-probe instructions, which included a thought-probe screen with the question, “What were you just thinking about?” and seven response options. We instructed subjects to report what they were thinking just before the probe, and the experimenter elaborated on these choices: 1) task: thinking about the stimulus words or appropriate response; 2) task performance: evaluating one’s own performance; 3) everyday stuff: thinking about recent or impending life events Working memory and mind wandering 9 or tasks; 4) current state of being: thinking about conditions such as hunger or sleepiness; 5) personal worries: thinking about concerns, troubles, or fears; 6) daydreams: having fantasies disconnected from reality; 7) other: other thought types. During the task, thought probes presented the italicized category names; subjects pressed the corresponding number key. The SART presented 1810 words: Each was centered for 300 ms, followed by a 900 ms mask (12 capitalized Xs, the length of the longest word). The first 10 (unanalyzed) buffer trials presented non-targets. The remaining trials comprised eight blocks, each presenting 225 trials consisting of 45 words repeating five times in a different random order. Within each set of 45, five targets appeared randomly among 40 non-targets (11% of trials). The same five targets appeared across all blocks. Thought probes followed 60% of targets within each block. After the first four blocks, subjects took a 30 s break. Because there were only five target events per block, our analyses collapsed the eight task blocks into four task-quarter blocks. RESULTS We report non-directional null-hypothesis significance tests with alpha = .05 and partial etasquared (ηp2) as an effect-size estimate. SART Performance Accuracy Mean accuracy rates for target (no-go) and non-target (go) trials were .49 and .95, respectively. For each subject, we calculated signal-detection sensitivity (dL) and bias (CL) scores, using formulas for logistic distributions (Snodgrass & Corwin, 1988), and adjusting individual hit or false-alarm rates of 0 and 1 by .01. Negative CL scores reflect a “go” bias. Figure 1A/1B presents dL and CL scores by task and block. A 3 (SART type) × 4 (Block) mixed-model ANOVA on dL confirmed a main effect of only block, F(3, 720) = 35.52, ηp2 = .13, modified by an interaction, F(6, 720) = 3.64, ηp2 = .03, indicating a Working memory and mind wandering 10 more shallow sensitivity decrease for the Semantic than Perceptual SARTs. Repeated-measures ANOVAs for each SART, however, indicated significant block effects: Semantic, F(3, 249) = 4.76, ηp2 = .05, Perceptual-Semantic, F(3, 231) = 15.79, ηp2 = .17, and Perceptual, F(3, 240) = 25.32, ηp2 = .24. A 3 (SART type) × 4 (Block) mixed-model ANOVA on CL indicated only a block effect, F(3, 720) = 6.135, ηp2 = .03, and no interaction, F(6, 720) = 1.22, p = .30, corresponding to a slight decrease in ‘go’ bias over blocks. Response Time (RT) Figure 2A/2B presents two non-target (“go-trial”) RT indices: Ms of individual subjects’ Ms, reflecting central tendency, and Ms of individual subjects’ SDs, reflecting intraindividual variability. We were particularly interested in RT variability because it may reflect slight attentional fluctuations over the course of the task, and thus might be sensitive to WMC and TUT-rate variation. Semantic-based responses were slower than perceptually-based, with stable RTs over blocks: A 3 (SART type) × 4 (Block) mixed ANOVA on M RT indicated only a main effect of SART type, F(2, 240) = 21.98, ηp2 = .15, and no interaction, F(6, 720) = 1.17, p = .32. In contrast, RT variability increased over blocks, but similarly across tasks: A 3 (SART type) × 4 (Block) mixed ANOVA confirmed only a block effect, F(3, 720) = 74.28, ηp2 = .24, and a marginally significant interaction, F(6,720) = 1.94, p = .07. Subjects thus became more variable with time on task on all SART types. In previous SART studies, RTs were shorter preceding target errors than preceding accurate responses, which some investigators have interpreted as habitual, “mindless” responding (Robertson et al., 1997; Smallwood et al., 2004). Here, too, RTs for the 4 non-target trials preceding target errors were significantly faster (M = 382 ms) than those preceding correct responses (M = 455; t(242) = -25.22). Working memory and mind wandering 11 Thought Reports Subjects reported task-related and task-unrelated thoughts on 21% and 55% of thought probes, respectively; TUTs were defined as reports of current state (28.4%), daydreams (8.6%), everyday stuff (8.2%), worries (4.7%), and other (5.5%). Thoughts about subjects’ performance, sometimes labeled “task-related interference” (TRI; e.g., Smallwood et al., 2006) comprised 24% of responses. As TRI represents an ambiguous intermediary between onand off-task thought, we do not analyze it further. Figure 3 illustrates that TUTs increased, and on-task thoughts decreased, over blocks. For TUTs, a 3 (SART type) × 4 (Block) mixed ANOVA indicated a main effect of only block, F(3, 720) = 223.45, ηp2 = .48, and no interaction, F(3, 720) < 1. For on-task thoughts, a parallel ANOVA indicated, again, only a block effect, F(3, 720) =44.20, ηp2 = .16, and no interaction, F(3, 720) = 1.49, p = .18. Because thought reports did not vary by SART type, subsequent analyses collapse over this variable. We expected RTs to trials preceding a TUT to be shorter than those preceding an on-task thought, indicating attentional lapses and non-reflective responding. Indeed, responses to the 4 nontarget trials preceding TUTs were significantly faster (M = 415 ms) than those preceding on-task thoughts (M = 426 ms; t(235) = -2.73). Performance By Thought Report No-go accuracy was lower for targets during TUTs (M = .42) than during on-task thoughts (M = .66; t(231) = -13.83); a 2 (Thought report) × 4 (Block) repeated-measures ANOVA indicated that this effect’s magnitude persisted across blocks, F(3, 390) = 1.535, p = .21. At the level of intra-task individual differences, subjects’ overall TUT rate predicted dL (r = -.37) and non-target RT SD (r = .40), but not CL (r = .11). Moreover, TUT-dL correlations increased significantly from block 1 to 2 to 3 (rs = -.17, -.28, -.39, -.39 for blocks 1 – 4, respectively), as indicated by Williams’ t-test (Steiger, 1980). Correlations between TUT rate and non-target RT SD increased significantly from block 1 to 2 only Working memory and mind wandering 12 (rs = .19, .35, .37, .43 for blocks 1 – 4, respectively). SART performance thus became more linked to mind wandering as the task progressed. Inter-task Individual Differences Table 1 presents correlations among all the task variables, along with their reliability estimates. WMC and CFQ-MAL were uncorrelated, and neither score differed among SART groups (Fs < 1). As expected, WMC variation predicted SART performance and thought, correlating significantly with dL, RT variability, and TUT rate, but not with CL. CFQ-MAL scores showed significant, but apparently weaker, correlations with SART variables. Table 2 presents hierarchical-regression analyses predicting SART dL with WMC, CFQ-MAL, and TUT rate. Considering first WMC and TUTs, each accounted for shared and unique dL variance: WMC accounted for 8.2%, with about half shared by TUT rate. TUTs predicted 9.8% of the variance independently of WMC (Total R2 = .180). Moreover, WMC, TUT rate, and CFQ-MAL all predicted unique dL variance, but the three together accounted for little more variance than did WMC and TUT rate alone (Total R2 = .198). Table 3 presents parallel regressions for intrasubject RT variability, where WMC accounted for about 12.3% of the variance, with almost half shared with TUT rate; TUT rate accounted for 10.7% of the variance beyond WMC (Total R2 = .230). Here, WMC and TUT rate again predicted unique variance beyond CFQ-MAL scores, but CFQ-MAL predicted RT variability only beyond WMC, not TUT rate (Total R2 = .240). DISCUSSION Subjects who differed in WMC, as measured by complex-span tasks, also varied in SART performance and subjective experience. Thus, WMC not only predicted attention-task errors and RT variability (see also Kane et al., 2001; Kane & Engle, 2003), but also mind-wandering rates (see also Kane, Brown et al., 2007); indeed, our objective WMC measure better predicted subjective TUT experiences than did the CFQ-MAL, a subjective, self-report measure of everyday attentional Working memory and mind wandering 13 failures (ruling out demand-characteristics in our WMC effects, and attesting to the validity of probed thought reports). Of most importance, however, individual differences in TUT rate accounted for half of WMC’s shared variance with SART performance, suggesting that much of WMC’s predictive power is attributable to its reflecting people’s ability to simply keep their thoughts focused on the task at hand, a notion consistent with our executive-attention view. WMC and Executive Attention Our individual-differences findings confirm key hypotheses from the executive-attention theory of WMC (e.g., Kane, Conway et al., 2007), which holds that WMC’s predictive power derives primarily from its tapping attention-control mechanisms that, among other functions, keep novel goals readily maintained to regulate ongoing behavior amid conflict. If goal-neglect errors arise through attention-control failures, and if many attention-control failures are complete enough to result in TUT experiences, then WMC-related variation in TUT rate should partially mediate WMCrelated variation in performance. It did, and these findings seem inconsistent with a binding explanation of WMC-related variation in goal neglect (e.g., Wilhelm & Oberauer, 2006). If lowerWMC subjects more often fail to act according to goals because they less effectively bind response productions to stimulus classes (e.g., “press key for animals”), then performance differences between lowerand higher-WMC subjects need not have anything to do with mind wandering, nor should WMC even predict TUT rates during cognitive tasks. Important questions remain, however, regarding the SART variance explained by WMC independently of TUT rate. Kane and Engle (2003) concluded that: 1) WMC predicts attention-task performance via goal-maintenance and competition-resolution mechanisms, the latter of which only engages subsequent to the former (e.g., in Stroop, resolving conflict between color and word dimensions only proceeds if the color-naming goal is accessible), and; 2) higher-WMC subjects are superior to lower-WMC subjects in both processes. In the SART, subjects must not only keep the Working memory and mind wandering 14 “no-go” goal in mind throughout long sequences of “go” trials, but also successfully inhibit this prepotent response when required. Indeed, go-trial RTs preceding errors were 73 ms faster here than those preceding correct responses, whereas RTs preceding TUT reports were only 11 ms faster than those preceding on-task thoughts. Fast, erroneous responding clearly occurs even when subjects are reportedly task focused, presumably reflecting withinand between-subject variation in competition resolution. We therefore suggest that WMC’s TUT-independent prediction of SART performance is largely due to its relation to competition resolution. If so, two predictions follow: 1) A SART that induces weaker prepotencies to overcome should correlate less strongly with WMC (due to a minimization of competition-resolution variance), and; 2) SART variance that is predicted by WMC should be more fully mediated by TUT rate, as subjects must maintain goal activation that’s not externally reinforced. We are currently testing these predictions with SARTs that present mostly nogo trials – requiring no overt responses – so the “go” goal requires active maintenance but accurate responding requires little competition resolution. We believe that this experiment also tests further the binding theory (Oberauer et al., 2007). If WMC’s non-TUT prediction of SART performance derives from S-R binding effectiveness instead of reflecting competition-resolution processes (Wilhelm & Oberauer, 2006), then a SART with weak prepotencies should still correlate substantially with WMC, because subjects must still bind no-go and go responses to stimulus categories. Moroever, SART variance predicted by WMC should not be mediated by TUT rate. Theoretical and Methodological Issues in Mind wandering Our results not only inform WMC theory, but they also raise concerns about current theoretical and methodological approaches mind wandering. Of most importance, a major theory of mind wandering seems to predict the reverse of our central WMC finding. Smallwood and Schooler (2006) argue that mind wandering draws heavily on WMC and executive resources, based largely Working memory and mind wandering 15 on findings that TUTs decrease during demanding tasks and that performance errors increase during TUTs. By this view, as primary tasks consume more resources, fewer remain to support mind wandering, and vice versa. Moreover, subjects who have more resources available (e.g., higher WMC) should be able to mind-wander more during ongoing tasks than should subjects with fewer resources (e.g., lower WMC). Of course, we found the opposite: Lower-WMC subjects mind-wandered more during a demanding primary task than did higher-WMC subjects (see also Kane, Brown et al., 2007). We therefore suggest that TUTs represent an executive-control failure to maintain on-task thoughts and that the generation and persistence of TUTs do not require executive resources. Rather, TUTs are automatically and continually generated as part of the thought stream (e.g., Bar, 2006; James, 1890/1998) in response to internal and external cues (e.g., Klinger, 1971), and executive-control processes keep these thoughts out of the focus of attention during resource-demanding tasks. Neuroscience research connecting TUTs to a “default-mode” network of the brain (e.g., Mason et al., 2007) suggests that mind wandering may be a return of attention to the type of thoughts produced while subjects are “at rest.” By this provisional view (which requires further refinement and test), TUTs either cause performance errors by displacing stimulus and goal representations from attentional focus, or correlate with errors as a signal (or side-effect) of failed attention control. Difficult tasks minimize TUTs because they stimulate engagement of control processes to meet task demands, one function of which is to sustain conscious focus and actively prevent TUTs from occurring. Regarding a secondary motivation for the present study, we failed to replicate prior findings that mind wandering varies with the conceptual-processing demands of ongoing tasks: TUT rates were equivalent for semantic and perceptual SARTs, rather than being reduced in the semantic task. It may be important that most experiments showing reduced TUTs during conceptual processing have involved intentional memory encoding, retrieval, or both (e.g., Smallwood et al., 2003). Such Working memory and mind wandering 16 task requirements may encourage integration or associations across conceptually related items and thus provide a scaffold for maintaining on-task thought. The SART, in contrast, neither requires nor promotes such mental organization, as individual stimuli require independent judgments. Indeed, Smallwood et al. (2006) observed a reduced TUT rate for the semantic versus non-semantic SART only for subjects instructed to commit the stimuli to memory, who therefore may have thought more elaboratively and cohesively about the stimuli. Although our findings generally support the notion that variation in conscious thoughts predict (if not cause) some variation in task performance, they also indicate that mind wandering and performance errors are not interchangeable indices of attentional lapses, as some researchers suggest (e.g., Smallwood, McSpadden, Luus, & Schooler, 2008; Smallwood et al., 2007). Responses to targets were appropriately withheld 42% of the time that subjects’ thoughts were off task, and inappropriately committed 34% of the time that subjects’ thoughts were on task. Moreover, as noted previously, RTs preceding errors were much faster than those preceding accurate responses, but RTs preceding TUTs were only slightly faster than those preceding on-task reports. Thus, there is more to executive-task performance than just goal neglect and mind wandering, and habit-based errors need not reflect only lapses of sustained attention (Kane & Engle, 2003; Logan & Cowan, 1984). CONCLUSION Our findings demonstrate the utility of subjective mind-wandering reports to the experimental and differential study of executive functions (see also Kane, Brown et al., 2007; Smallwood & Schooler, 2006). Goal-neglect errors, and some WMC-related differences in attentiontask performance, appear to stem in part from momentary failures of conscious thought control. As in the present experiment, further assessment of subjective experience during cognitive tasks (and especially, off-task thoughts) should provide evidence for or against particular mechanistic views of executive control and its variation. Working memory and mind wandering 17 REFERENCESBar, M. (2007). The proactive brain: Using analogies and associations to generate predictions.Trends in Cognitive Science, 11, 280-289.Broadbent, D.E., Cooper, P.F., FitzGerald, P., & Parkes, K.R. (1982). The Cognitive FailuresQuestionnaire (CFQ) and its correlates. 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Working memory capacity and theantisaccade task: Individual differences in voluntary saccade control. Journal of ExperimentalPsychology: Learning, Memory, and Cognition, 30, 1302-1321. Working memory and mind wandering 20 Wilhelm, O., & Oberauer, K. (2006). Why are reasoning ability and working memorycapacity related to mental speed? An investigation of stimulus-response compatibility in choicereaction time tasks. European Journal of Cognitive Psychology, 18, 18-50. Working memory and mind wandering 21 Table 1. Correlations among WMC, mind wandering, and performance measures.________________________________________________________________________________________WMCTUTdLRT variation CFQ-MALWMC---TUT-.217**.885dL.287**-.368**.948RT variation -.351**.396**-.599**.927 CFQ-MAL .014.144*-.179**.146*.930_________________________________________________________________________________________**p < .01 *p < .05Note: N = 243. Values on the diagonal reflect Cronbach’s alpha for each measure as a reliability estimate;alphas were calculated over task blocks for SART measures and over items for the CFQ-MAL. WMC =working memory capacity; TUT = proportion self-reported task-unrelated thoughts; dL = signal-detectionsensitivity measure on SART; RT variation = intraindividual standard deviation for non-target reaction timeson SART; CFQ-MAL = Cognitive Failures Questionnaire – Memory and Attention Lapses. N = 242 forCFQ-MAL analyses. Working memory and mind wandering 22 Table 2. Hierarchical Regression Analyses on SART Signal-Detection Sensitivity Estimate(dL).VariableB SE Beta tR2Predictors: WMC, TUTStep 1: WMC.550 .118 .287 4.651* .082Step 2: WMC, TUT-2.591 .484 -.321 -5.358* .180Predictors: TUT, WMCStep 1: TUT-2.973 .484 -.368 -6.142* .135 Step 2: TUT, WMC.417 .115 .217 3.631* .180Predictors: CFQ-MAL, TUTStep 1: CFQ-MAL-.016 .006 -.179 -2.815* .032Step 2: CFQ-MAL, TUT-2.805 .487 -.347 -5.762* .150Predictors: TUT, CFQ-MALStep 1: TUT-2.955 .485 -.366 -6.090* .134Step 2: TUT, CFQ-MAL-.012 .006 -.129 -2.136* .150Predictors: WMC, CFQ-MAL, TUTStep 1: WMC.548 .118 .287 4.636* .082Step 2: WMC, CFQ-MAL-.017 .006 -.183 -3.007* .116Step 3: WMC, CFQ-MAL, TUT -2.400 .486 -.297 -4.941* .198Predictors: CFQ-MAL, WMC, TUTStep 1: CFQ-MAL-.016 .118 -.179 -2.185* .032Step 2: CFQ-MAL, WMC.553 .485 .289 4.755* .116Step 3: CFQ-MAL, WMC, TUT -2.400 .005 -.297 -4.491* .198_____________________________________________________________________________*p < .05 Working memory and mind wandering 23 Table 2. Continued.Note: N = 243. WMC = working memory capacity; TUT = proportion self-reported task-unrelated thoughts;CFQ-MAL = Cognitive Failures Questionnaire – Memory and Attention Lapses. N = 242 for CFQ-MALanalyses. Working memory and mind wandering 24 Table 3. Hierarchical Regression Analyses on SART Intraindividual Reaction Time Variation.VariableBSE Beta tR2Predictors: WMC, TUTStep 1: WMC-25.750 4.430 -.351 -5.813* .123Step 2: WMC, TUT104.000 17.962 .336 5.790* .230Predictors: TUT, WMCStep 1: TUT122.665 18.314 .396 6.698* .157 Step 2: TUT, WMC-20.397 4.260 -.278 -4.788* .230Predictors: CFQ-MAL, TUTStep 1: CFQ-MAL.510 .224 .146 2.281* .021Step 2: CFQ-MAL, TUT118.368 18.520 .382 6.391* .164Predictors: TUT, CFQ-MALStep 1: TUT122.417 18.376 .395 6.662* .156Step 2: TUT, CFQ-MAL.317 .209 .091 1.516 .164Predictors: WMC, CFQ-MAL, TUTStep 1: WMC-25.717 4.437 -.350 -5.796* .123Step 2: WMC, CFQ-MAL.528 .209 .151 2.520* .145Step 3: WMC, CFQ-MAL, TUT 98.799 18.143 .319 5.446* .240Predictors: CFQ-MAL, WMC, TUTStep 1: CFQ-MAL.510 .224 .146 2.281* .021Step 2: CFQ-MAL, WMC-25.874 4.389 -.353 -5.895* .145Step 3: CFQ-MAL, WMC, TUT 98.799 18.143 .319 5.446* .240___________________________________________________________________________________*p < .05 Working memory and mind wandering 25 Table 3. Continued.Note: N = 243. WMC = working memory capacity; TUT = proportion self-reported task-unrelated thoughts;CFQ-MAL = Cognitive Failures Questionnaire – Memory and Attention Lapses. N = 242 for CFQ-MALanalyses. Working memory and mind wandering 26 Author NotesMichael J. Kane and Jennifer C. McVay, Department of Psychology, University of NorthCarolina at Greensboro.We are grateful to Jessica Allen, Cody Burns, Tammy Core, Amy Crompton, Rick Fisher,Robin Grochowski, Brittany Lambeth, Katy Beth Loner, Jody Ortman, Amanda Page, Nina Powell,Dara Rogers, Lindsay Squires, Alanna Stockford, and Lucas Thomas for assistance in data collection.Portions of this work were supported by a UNCG Regular Faculty Grant awarded to Michael Kane, and an NIH Ruth L. Kirschstein National Research Service Award (NRSA) Individual Pre-doctoral Fellowship granted to Jennifer McVay, Award Number F31MH081344 from the NationalInstitute of Mental Health. The content is solely the responsibility of the authors and does notnecessarily represent the official views of the National Institute of Mental Health or the NationalInstitutes of Health.Correspondence concerning this article should be sent to Michael J. Kane, Department ofPsychology, University of North Carolina at Greensboro, P.O. Box 26170, Greensboro, NC 27402-6170 (email to [email protected]). Working memory and mind wandering 27 Figure CaptionsFigure 1. Signal-detection indices from the Semantic, Perceptual-Semantic, and PerceptualSARTs (Sustained Attention to Response Tasks), across task blocks (N = 243). Panel A: Meansensitivity(dL) estimates. Panel B: Mean bias(CL) estimates. Error bars represent standard errors.Figure 2. Response time (RT) measures from the Semantic, Perceptual-Semantic, andPerceptual SARTs (Sustained Attention to Response Tasks), across task blocks (N = 243). Panel A:Means of individual subjects’ mean RTs. Panel B: Means of individual subjects’ RT standard deviations. Error bars represent standard errors.Figure 3. Mean proportion of thought reports, by thought category, across task blocks (N =243). Error bars represent standard errors. Note: TUT = task-unrelated thought; on-task = on-taskthought. Working memory and mind wandering 28