On March 31, 2009, six scientists and a former government official met in L’Aquila, Italy, to ponder the possibility of an earthquake in the region. Although several recent tremors had occurred nearby, the group concluded that it was impossible to predict a major earthquake. Six days later, a 6.3 magnitude quake rocked L’Aquila, killing 300 people. On October 22, 2012, an Italian court sentenced the group to six years in jail for manslaughter and ordered them to pay 7.8 million euros in damages. The court’s official ruling cited the group’s failure to adequately warn the public about the quake (McKenna & Collins, 2012). Although this ruling was eventually overturned, the fact that the ruling occurred at all is alarming (Cartlidge, 2014). Predicting earthquakes and making other judgments under uncertainty is often guesswork (Kahneman, 2011; Tversky & Kahneman, 1974; see Lewis, 2016). In the absence of outcome knowledge, the scientists and former government official made an educated guess about the possibility of a pending earthquake. In the presence of outcome knowledge, the Italian court judged that the group “should have known” more than the group knew. Such hindsight bias makes uncertain events seem predictable and even inevitable (Fischhoff, 1975).

Hindsight bias is a robust cognitive error that has been observed across cultures and across the life span (Bayen, Pohl, Erdfelder, & Auer, 2007; Bernstein, Erdfelder, Meltzoff, Peria, & Loftus, 2011; Pohl, Bayen, Arnold, Auer, & Martin, 2018; Pohl, Bender, & Lachman, 2002). Traditionally observed using trivia questions, such as “How many feet tall is the Statue of Liberty from base to torch?” and event outcomes, such as elections, sports, and trials, hindsight bias has been observed using visual, auditory, and gustatory judgments (Harley, Carlsen, & Loftus, 2004; Lange, Thomas, Dana, & Dawes, 2011; Pohl, Schwarz, Sczesny, & Stahlberg, 2003; see Bernstein, Aßfalg, Kumar, & Ackerman, 2016; Pohl & Erdfelder, 2017 for reviews).

In the auditory hindsight task, participants estimate how many out of 100 of their peers would be able to identify a single distorted word or sentence played once. In a clear-distorted condition, participants learn the identity of the word (e.g., barn) immediately before estimating how many out of 100 of their naïve peers would be able to identify the distorted word (e.g., “bahn”). In a Distorted-only estimation condition, they do not learn the identity of the word; participants hear only the distorted word (e.g., “bahn”) and estimate how many of their naïve peers would be able to identify this word. This task yields robust hindsight bias in that participants reliably estimate that more of their peers would be able to identify the distorted word in the clear-distorted condition than in the distorted-only estimation condition (Bernstein, Wilson, Pernat, & Meilleur, 2012). As with other types of hindsight bias, auditory hindsight bias occurs when knowing the identity of a distorted stimulus makes that stimulus seem more identifiable to a naïve peer than it actually is.

Fluency misattribution is one possible mechanism responsible for hindsight bias (Harley et al., 2004). Fluency is the speed or ease of processing a given stimulus; participants who experience greater fluency for a given item (e.g., because of prior exposure to it) may mistakenly judge that this ease of processing is caused by the item being easy to identify rather than being advantaged by its previous presentation (see Higham, Neil, & Bernstein, 2017; Werth & Strack, 2003). The fluency-misattribution account of hindsight bias proposes that prior exposure to a stimulus results in people processing that stimulus more fluently, but attributing that fluency to an incorrect source. In a visual hindsight-bias task, exposure to a clear face in a clear-distorted condition results in greater fluency for it when repeated minutes later; assuming the participant considers this fluency to be a product of immediate circumstances (e.g., the obscured face happens to be easy to identify), this would result in underestimating the difficulty of identifying the face (Harley et al., 2004). Calling attention to the clear image—by modifying the task to make the influence of the clear image on judgments obvious—neutralizes the hindsight-bias effect, consistent with prior work (Bernstein & Harley, 2007; see Bruner & Potter, 1964; Thomas & Jacoby, 2013).

Other work supports fluency’s role in hindsight bias (see Roese & Vohs, 2012). In one study, researchers presented semantically related and unrelated prime words before playing distorted versions of target words (e.g., nurse–ducter; bread–ducter; here, “ducter” refers to the word doctor). On half the trials, participants heard a clear version of the target word before hearing the prime and distorted target pair (e.g., doctor–nurse–ducter). Thus, on hindsight trials, participants knew the target word before hearing the distorted version of it. On the remaining trials, participants did not hear a clear version of the target word before hearing the prime and distorted target pair. Participants estimated how many of their naïve peers could identify the target word. This procedure yielded hindsight bias in that participants provided inflated peer estimates on hindsight trials; however, prime relatedness interacted with target knowledge as might be expected, such that hindsight bias was greater on unrelated than on related prime trials. The authors argued that the fluency caused by prior target knowledge was greater and harder to ignore or discount on low-fluency, unrelated-prime trials than on high-fluency, related-prime trials (Higham et al., 2017).

In another study, researchers exposed participants to obscure facts and later asked participants to judge how many of their naïve peers would know these facts (old) and facts not presented previously in the experiment (new). Participants judged that more of their peers would know the old than know the new facts. This effect occurred when the researchers exposed participants to factual questions with and without the answers. These results further show that fluency affects hindsight bias (Birch, Brosseau-Liard, Haddock, & Ghrear, 2017).

Fluency misattribution is not the only account of hindsight bias. A sense-making account of hindsight bias focuses on the role that surprise—the discrepancy between participant expectations and the correct answer—plays in hindsight bias (Pezzo, 2003, 2011). A participant in the clear-distorted condition would, after hearing the distorted stimulus, evaluate the difference between their expectation of what the distorted stimulus should be and the correct answer. This account of hindsight bias relies heavily on the expectations the participant has of the target (distorted) stimulus, rather than the fluency of processing the stimulus.

There also are several reconstruction-based theories of hindsight bias involving anchoring and adjustment (e.g., selective activation and reconstructive anchoring, or reconstruction after feedback with take the Best; Hoffrage, Hertwig, & Gigerenzer, 2000; Pohl, Eisenhauer, & Hardt, 2003). In these theories, hindsight bias results from a biased memory search; participants first attempt to answer trivia questions and later attempt to recall their answers either in the presence or absence of the correct answers to the question. Participants find it more difficult to recall their prior answers in the presence than in the absence of the correct answers. The problem here is that these theories are based on reconstruction of one’s prior answers, which is of tangential relevance to the design discussed here, in which participants instead make a judgment regarding the hypothetical scenario where the clear stimulus had not been presented. This problem applies not only to those theories relying on reconstruction bias but also to many others that focus on the role of memory in hindsight bias, such as automatic assimilation or the trace-strength hypothesis (see Blank, Nestler, von Collani, & Fischer, 2008). Thus, the accounts most relevant to the auditory hindsight task that we use here are the fluency-misattribution and sense-making accounts.

The current work

The current work seeks to demonstrate that fluency misattribution underlies auditory hindsight bias. To this end, we modulated the influence of fluency on auditory hindsight bias by using repetition priming: Items to which a participant has been frequently primed in a separate “exposure” phase should have relatively higher fluency than items that were unprimed or primed less (see Jacoby & Dallas, 1981). This higher fluency makes subsequent identification of those items easier and faster. There were three sources of fluency in the current study: (1) preexperimental exposure—the baseline familiarity that participants had with the items as a consequence of the words all being commonplace and familiar; (2) the exposure phase, during which we manipulated how often a participant was primed with each item: The greater the number of priming presentations, the greater the fluency from this phase; and (3) the test phase, during which we manipulated whether a clear presentation appeared prior to the distorted target word. A fluency-misattribution account of hindsight bias predicts that these three sources combine to influence a common process, and therefore might produce an interactive effect on participant judgments, as per Roberts and Sternberg (1993).

To elicit auditory hindsight bias, we manipulated whether participants heard a clear version of a distorted target word just before hearing the distorted target word. There were two critical distortion conditions: a clear-distorted estimation condition, in which both auditory hindsight bias and repetition priming could contribute to the fluency for an item and thereby influence estimates of peer success at identifying a distorted target word, and a distorted-only estimation condition, in which the principal source of fluency was priming effects from the exposure phase. Because the target words were familiar, commonplace words, fluency from preexperimental exposure was equal in both conditions. When estimates in the clear-distorted condition are higher (indicating greater success at identifying target words) than estimates in the distorted-only estimation condition, participants will have demonstrated auditory hindsight bias. We also tested a group of participants in a distorted-only identification condition in which participants identified the distorted targets instead of providing estimates of peer success. This group provided a measure of the fluency invoked by the number of priming presentations in the exposure phase, because participants should be more accurate at identifying words that are more fluent to them.

As a manipulation of repetition priming, participants experienced four different levels of exposure to prime words (number of priming presentations) in an exposure phase. In that phase, participants heard clear versions of words zero, one, three, or six times before hearing distorted versions of those words during a later test phase. As the number of priming presentations in the exposure phase for an item increases, item fluency should increase. Similarly, item fluency should increase in the clear-distorted condition due to the clear presentation of the item at test. The clear presentation at test is the usual source of auditory hindsight bias, whereas fluency from the exposure phase is the usual source of repetition priming. In the current work, we operationalize repetition priming as the effect of prior presentations on subsequent identification and estimation performance.

Overview of experiments

The current work advances prior work by combining auditory hindsight bias and repetition priming to test and confirm a fluency-misattribution account of auditory hindsight bias. We did this by examining the interaction between our two primary manipulations: (1) presence versus absence of a clear prime prior to a distorted target at test and (2) number of priming presentations at exposure. Specifically, a hindsight-bias effect would be evident if the clear presentation in the test phase led participants to overestimate their peers’ ability to identify distorted target items, relative to when participants were not exposed to the clear presentation at test. Repetition priming would be evident if increasing the number of priming presentations in the exposure phase increased participants’ later identification of distorted target items or estimates of their peers’ ability to identify distorted target items in the test phase (see Feustel, Shiffrin, & Salasco, 1983; Jacoby & Dallas, 1981; Ostergaard, 1998).

We wondered whether these two sources of fluency (clear prime at test, number of priming presentations during exposure) operated independently and additively or instead interacted by combining into one mechanism multiplicatively. According to Roberts and Sternberg’s (1993) additive factors logic, which was based on reaction-time data, we can infer from the data pattern whether the sources of fluency operate additively or multiplicatively. If both sources of fluency operate independently (i.e., at different stages of processing), then their effects should be additive in nature. If both sources of fluency operate together via the same mechanism—at the same stage of processing—then their effects should interact multiplicatively. An interaction, if present, could be either overadditive (whereby both sources of fluency compound their effects) or underadditive (whereby there is little or no additional benefit of having both sources present—a condition that might be characterized by each source being sufficient by itself, such as one might experience by taking both aspirin and acetaminophen for a headache).

Because we believe that both hindsight bias and repetition priming share fluency as a common process, we expected to see an interaction—specifically, an underadditive interaction dominated by the clear presentation at test (when present). By experiencing the clear presentation at test, participants would be less likely to show priming effects from the exposure phase. The clear presentation at test should heavily influence the participants’ perceptual experience when they perceive the distorted item. The clear presentation occurred almost immediately before the distorted target word and was perfectly correlated with the identity of the distorted target word; this stands in contrast to the primes from the exposure phase, which were presented at a relatively distant time, and which were far less correlated with the specific distorted word being presented later during the test phase. We expected that the additional fluency from the clear presentation at test and the number of priming presentations from the exposure phase would influence the encoding of the distorted word; however, the clear presentation at test, in particular, would dominate participants’ perceptual experience of the word for the reasons mentioned above, to the point that there would be no added benefit from the priming presentations in the exposure phase. Thus, for the clear-distorted condition, we expected to see an overall increase in estimates that was generally insensitive to the number of priming presentations, resulting in an underadditive interaction (see Ostergaard, 1998). The increased fluency for the distorted word from the clear presentation would result not only in it being judged as easier to identify but also in it being perceived as more identifiable, independent of the number of priming presentations in the exposure phase. Unlike the clear-distorted condition’s insensitivity to number of priming presentations, we expected to see priming effects in the distorted-only estimation condition (see Fig. 1, left panel).

Fig. 1
figure 1

Predictions for proportion estimated success in the auditory hindsight-bias task according to the fluency-misattribution and sense-making accounts. Participants estimate how likely a naïve observer is to correctly identify a distorted auditory presentation of a word when that presentation occurs either following a clear presentation (clear-distorted) or in isolation (distorted-only). The target word is presented zero, one, three, or six times in undistorted form in an earlier exposure phase of the experiment

Contrast this with Pezzo’s (2011) sense-making account of hindsight bias, where hindsight bias would be rooted in the “surprise” felt by the participant upon being exposed to the distorted word; if all that occurred was an expectancy violation, then the exposure phase and the clear presentation at test would not contribute to a common mechanism and thus would not show an interactive data pattern. Instead, we would see two parallel lines (see Fig. 1, right panel).

Experiment 1

In Experiment 1, we sought to manipulate the amount of fluency present during the exposure phase and the test phase. There were two critical distortion conditions, a clear-distorted condition and a distorted-only estimation condition. In the clear-distorted condition, fluency from preexperimental exposures to the items and the test phase could influence estimates of peer success at identifying a distorted target. In the distorted-only estimation condition, fluency from preexperimental exposures to the items and the exposure phase could influence estimates of peer success at identifying a distorted target. We anticipated that participants in the clear-distorted condition would provide higher estimates of peer identification performance than would participants in the distorted-only estimation condition. We also tested a group of participants in a distorted-only identification condition in which they made overt identification responses to the distorted targets instead of providing estimates of peer success. One purpose served by this group was to provide a manipulation check that would generate evidence that varying the number of priming presentations indeed produces differences in the fluency of processing distorted targets in the test phase.

Method

Participants

One hundred twenty-one students from Kwantlen Polytechnic University participated in the study for course credit. In all conditions, participants completed the experiment in groups of one to eight. We included three distortion conditions in the design of the experiment. Rather than randomly assigning participants to conditions, we tested the three conditions sequentially. Initially, we tested the distorted-only identification condition (N = 62) as a manipulation check to confirm that varying the number of priming presentations worked as expected. We followed this with the clear-distorted condition (N = 23), which we expected to produce hindsight bias. One might simply compare the identification and clear-distorted conditions, but these two conditions have different dependent variables—mean accuracy in the former, mean estimates for peers in the latter. Thus, we also tested the distorted-only estimation condition (N = 36), allowing us to compare mean estimates for peers in this condition to the clear-distorted condition. Although nonrandom assignment can compromise the validity of the results, Experiment 2 replicates Experiment 1’s primary results by using random assignment to conditions.

Materials

We recorded audio clips of 40 common, concrete words (e.g., leaf, muffin, dress) spoken clearly in a male voice for use in the exposure phase (and in the clear-distorted condition of the test phase as well). We then low-pass filtered the words using a custom MATLAB script to generate distorted, difficult-to-identify versions for use in the test phase (the script is available at http://lifespancognition.org/onlineresearch/ahb_stimuli.php). We divided the 40 items into four lists of 10 items each, and counterbalanced assignment of these lists to the four priming-presentation conditions (zero, one, three, or six presentations in the exposure phase) across participants.

Design

This experiment followed a 3 (distortion condition: clear-distorted, distorted-only estimation, distorted-only identification) × 4 (number of priming presentations: zero, one, three, six) mixed design with distortion condition as a between-subjects factor and number of priming presentations as a within-subjects factor.

Procedure

All stimuli were presented using a CD player and loudspeaker. The experiment had two phases—an exposure phase and a test phase. The exposure phase was identical for all conditions. Participants heard the clear, undistorted words, with each word being presented zero, one, three, or six times, for a total of 100 presentations in one of four random, intermixed orders. We counterbalanced across groups of participants the number of times a given word was presented. Immediately after the exposure phase, participants began the test phase.

Each trial began with a 500-ms alerting tone. For the clear-distorted condition, the tone was followed 1 s later by a clearly spoken version of the target word (as in the exposure phase). After a 1-s pause, the distorted version of the same target played, and participants estimated the percentage (proportion) of their peers that would have been able to identify the word, assuming their peers had not heard the clear presentation. The distorted-only estimation condition skipped the clearly spoken word and the 1-s pause preceding it; the tone was followed by a 1-s pause, and then the distorted target word; participants wrote down an estimate of the percentage of their peers who would be able to identify the distorted word. The distorted-only identification condition also skipped the clearly spoken word, but after the tone and the 1-s pause, participants had 8 seconds to write on a piece of paper what they thought the word was. This procedure repeated for each of the 40 words. Participants were not told anything about how the exposure and test phases related. (For an example of the procedure and stimuli, see http://lifespancognition.org/onlineresearch/ahb_stimuli.php.) After completing the test phase, participants completed a short demographics form and were debriefed.

Results

The dependent variable in the clear-distorted condition and distorted-only estimation condition was the mean estimated proportion of peers who would be expected to identify the target (hereafter called proportion of estimated success). In the distorted-only identification condition, the dependent variable was the proportion of words that participants identified correctly. Figure 2 depicts the mean proportion for each distortion condition as a function of the number of priming presentations. We analyzed these scores using a 3 (distortion condition) × 4 (number of priming presentations) mixed-factorial analysis of variance (ANOVA). We found a main effect of distortion condition, F(2, 118) = 4.71, MSE = .065, p = .01, with the clear-distorted condition having higher mean scores than the distorted-only identification and distorted-only estimation conditions. This effect is evidence of auditory hindsight bias. We also found a significant main effect of number of priming presentations, F(3, 354) = 15.28, MSE = .020, p < .001, with scores increasing monotonically with increasing number of priming presentations. This effect is evidence of repetition priming. Finally, we found a significant interaction between distortion condition and number of priming presentations, F(6, 354) = 3.67, MSE = .020, p = .02. We conducted one-way ANOVAs of the number of priming presentations for each of the distortion conditions and found no effect in the clear-distorted condition (F < 1), but significant effects in the distorted-only identification and distorted-only estimation conditions, F(3, 183) = 20.62, MSE = .029, p < .001 for distorted-only identification; F(3, 105) = 9.14, MSE = .012, p < .001 for distorted-only estimation. Comparing Figs. 1 and 2, we see more support for the fluency-misattribution account than for the sense-making account of auditory hindsight bias.

Fig. 2
figure 2

Mean proportion of estimated success on the estimation task and mean proportion correct on the identification task in Experiment 1. In the estimation task, one group of participants heard a clear presentation of the target word prior to the distorted version (clear-distorted) and another group heard only the distorted version (distorted-only) when making their estimates. An additional group of participants attempted to identify the distorted target words (identification). All groups completed a priming phase at the beginning of the experiment in which they heard zero, one, three, or six presentations of a target item in clear form. Data points are jittered on the horizontal axis to make them more distinct. Error bars are 95% within-subjects confidence intervals suitable for comparing across number of priming presentations within a group

Discussion

Performance on the distorted-only identification task indicated that participants were sensitive to the number of priming presentations. Similar performance emerged among participants in the distorted-only estimation condition who, rather than providing identification responses themselves, estimated the ability of their peers to identify distorted test items. In contrast to these two groups, we observed relative insensitivity to number of priming presentations in the clear-distorted condition and a strong hindsight-bias effect: Estimates of peer success were higher in the clear-distorted condition than in the distorted-only estimation condition and actual identification rates in the distorted-only identification condition, particularly for items that had few or no prime presentations. The lack of an effect of number of priming presentations in the clear-distorted condition is consistent with the idea that fluency arising from the exposure phase and from the clear presentation both contribute to the same stage of processing—namely, the encoding of the distorted word. However, the influence of the clear presentation at test is a much stronger source of fluency than are the primes from the exposure phase, resulting in the fluency from the clear presentation at test effectively overpowering any influence from the exposure phase. This supports the fluency-misattribution account but not the sense-making account of auditory hindsight bias.

Experiment 2

Experiment 1 showed robust hindsight bias and repetition priming and a significant interaction between these two effects. Experiment 1 left unanswered whether task experience modifies the fluency by which participants process auditory stimuli, and by extension, hindsight bias. In Experiment 2, we used a within-subjects manipulation of distortion condition to examine the influence of task experience on hindsight bias. Half the participants completed the clear-distorted condition first, followed by the distorted-only estimation condition. We expected that the clear presentation of the stimulus would have its full impact for these participants because they would not yet have experienced the presentation of distorted words without the assistance of a clear presentation. Therefore, these participants should produce a hindsight-bias effect similar to that found in Experiment 1. The remaining participants completed the distorted-only estimation condition first, followed by the clear-distorted condition. Having experienced the distorted-only estimation condition in the first block of trials should sensitize participants to the potential contaminating influence of the clear presentation when encountered in the second block. The reason for this is that participants should be able to compare the difficulty they had when trying to identify distorted versions of items in the first block of trials with the relative ease of identification in the clear-distorted condition in the second block of trials. This comparison should lead participants to discount the effect of the clear stimulus in the second block of trials.

Prior work has shown that participants who were aware of a perceptual prime were able to discount its influence on their response (Huber, Clark, Curran, & Winkielman 2008; Jacoby & Whitehouse, 1989). This suggests that if participants can experience an uncontaminated version of distorted words, then they should be able to discount any further influence of the clear presentation when tested with other targets (and perhaps even the exposures in the priming phase). The result of this discounting is that there should be reduced or possibly no auditory hindsight bias (no significant difference between the clear-distorted and distorted-only estimation conditions) in the group that experiences the distorted-only estimation condition first. Such a result would indicate that experience with the distorted-only estimation inoculates participants against the biasing effects of the clear presentation at test. Such a debiasing result has not been shown in auditory hindsight bias (see Roese & Vohs, 2012, for successful debiasing strategies in other hindsight-bias work).

Method

Participants

Sixty-four undergraduate psychology students from Kwantlen Polytechnic University participated in the study for course credit; there was no overlap between this pool and the pool of participants from Experiment 1. Participants completed the experiment individually or in groups of two, with each group being randomly assigned to one of the orders: clear-distorted (CD) ➔ distorted-only estimation (D) or distorted-only estimation (D) ➔ Clear-distorted (CD).

Materials

This experiment used the same items as Experiment 1, with the audio clips being recorded in a female voice.

Design

This experiment followed a 2 (distortion condition: clear-distorted, distorted-only estimation) × 2 (order: CD ➔ D or D ➔ CD) × 4 (number of priming presentations: zero, one, three, six) mixed design with distortion condition and number of priming presentations as within-subjects factors and order as a between-subjects factor.

Procedure

The exposure phase was the same as in Experiment 1. The test phase was modified for the within-subjects design. All participants completed both the clear-distorted condition and the distorted-only estimation condition, with half the items in each number of priming presentations condition appearing in each of the distortion conditions. The distortion conditions appeared in separate blocks, in one of two possible orders: CD ➔ D, or D ➔ CD. There was no distorted-only identification condition in this experiment.

Results

As with Experiment 1, the dependent variable was the proportion of estimated success at identifying the distorted target word. Figure 3 depicts the mean proportion for each distortion condition as a function of the number of priming presentations. We analyzed these scores using a 2 (distortion condition) × 2 (order) × 4 (number of priming presentations) mixed-factorial ANOVA with order as a between-subjects factor. We found a significant main effect of distortion condition, F(1, 62) = 20.21, MSE = .042, p < .001, with the clear-distorted condition having higher mean scores than the distorted-only estimation condition (.46 vs. .38). We also found a main effect of number of priming presentations, F(3, 186) = 3.10, MSE = .010, p < .05, with scores increasing monotonically with number of priming presentations. Critically, the interaction between distortion condition and number of priming presentations was significant, F(3, 186) = 4.38, MSE = .013, p < .01. Separate ANOVAs testing the effect of number of priming presentations in each condition indicated that repetition priming was apparent in the distorted-only estimation condition, F(3, 186) = 6.96, MSE = .012, p < .001, but not in the clear-distorted condition, F < 1. These results replicate those of Experiment 1. Comparison of the clear-distorted condition in the CD ➔ D condition and the distorted-only estimation condition in the D ➔ CD condition in Figure 3, which replicate Experiment 1’s CD and D conditions, respectively, clearly shows the interaction between distortion condition and number of priming presentations that we observed in Experiment 1.

Fig. 3
figure 3

Mean proportion of estimated success on the estimation task in Experiment 2. Some participants completed the clear-distorted condition first, followed by the distorted-only estimation condition (CD ➔ D); others completed these conditions in the reverse order (D ➔ CD). Both groups participated in a priming phase at the beginning of the experiment in which they heard zero, one, three, or six presentations of a target item in clear form. Data points are jittered on the horizontal axis to make them more distinct. Error bars are 95% within-subjects confidence intervals suitable for comparing across number of priming presentations within each condition

The order by distortion condition interaction was also significant, F(1, 62) = 10.68, MSE = .042, p < .005. We investigated this interaction by computing separate ANOVAs for each order condition. When the clear-distorted condition occurred first, we found a substantial effect of distortion condition, F(1, 31) = 33.03, MSE = .038, p < .001, with higher estimates in the clear-distorted condition than in the distorted-only estimation condition (.50 vs. .36). When the distorted-only estimation condition occurred first, however, we found no effect of distortion condition, F < 1.

Discussion

We anticipated that initial experience with a distorted-only estimation condition would give participants an accurate sense of how difficult the distorted-word identification task actually was. When later confronted with a situation in which their assessment of difficulty was contaminated by hearing a clear presentation of the target word just prior to hearing the distorted version of that target word, participants appeared to engage in a form of discounting (as would be predicted by Huber et al., 2008); in an effort to account for the influence of the clear presentation, they tried to reduce their ratings. Figure 3 shows that participants were not able specifically to discount the influence of the clear presentation; rather, in accord with the fluency misattribution account, their only recourse was to apply a general reduction in their estimates, regardless of the item’s repetition history. This process reflects an overall drop in the average estimates on the clear-distorted test in the D ➔ CD order. We suspect that the experience with a clear presentation of the target is integrated into the fluency for the item so that subsequent efforts at discounting the influence of that experience cannot selectively eliminate its impact, exclusive of the impact of the earlier priming presentations. Consequently, any effort to discount the effect of the clear presentation should manifest as an overall reduction in estimates of peer performance, independent of the number of priming presentations.

Figure 3 shows another important result: clear discounting in the D ➔ CD order. This result reflects the lack of difference between the distorted-only estimation condition and clear-distorted condition (no hindsight bias). This discounting also reveals successful debiasing: Experience with the distorted-only estimation condition served as a debiasing technique for participants once they encountered the clear-distorted condition. Successful discounting and debiasing are consistent with the fluency-misattribution account of auditory hindsight bias.

Experiment 3

Experiment 2 again showed robust hindsight bias and repetition priming and a significant interaction between these two effects. However, Experiment 2 also showed that task experience modifies hindsight bias. Experiment 2 left unanswered other means by which participants can discount the clear prime presentation at test. In Experiment 3, we provided participants with the opportunity to discount the influence of the clear presentation at test by adding a condition where it was possible to experience uncontaminated encoding of the distorted word. Here, we again replicated Experiment 1, but included an additional group of participants in which we provided a clear presentation of the target item just after the distorted presentation in the test phase. In this distorted-clear condition, participants first heard the distorted version of the target but were instructed to withhold their estimate of peer performance until after they had heard the clear presentation. If the clear presentation is being integrated into the participants’ experienced fluency for the item and they only then proceed to make their estimate, then we should see similar patterns as those in the clear-distorted condition; however, if participants instead make their judgment at the time that the distorted word is presented and are able to selectively exclude the impact of a clear stimulus that follows the distorted stimulus, then their responses should be closer to the distorted-only estimation condition (see Sohoglu, Peelle, Carlyon, & Davis, 2014).

Comparing the distorted-clear with the clear-distorted condition permitted us to test between the fluency-misattribution and sense-making accounts of hindsight bias; presenting the distorted word prior to the clear version allowed participants to form an expectation about the identity of the word prior to hearing its clear version. Consequently, a difference between the distorted-clear and clear-distorted conditions would be consistent with the sense-making account of hindsight bias, whereas no difference between these conditions would be consistent with the fluency-misattribution account.

Method

Participants

Two hundred seven undergraduate psychology students from Kwantlen Polytechnic University participated in the study for course credit; no students who participated in Experiments 1 or 2 participated in this experiment. Participants completed the experiment individually or in groups of two, with each group completing one of the distortion conditions (clear-distorted, distorted clear, distorted-only estimation, distorted-only identification). Seventy-nine participants completed the clear-distorted condition, 23 completed the distorted-clear condition, 81 completed the distorted-only estimation condition, and 24 completed the distorted-only identification condition. Through experimenter error in random assignment, the three estimation conditions resulted in unequal sample sizes. We acknowledge the unequal sample sizes as a potential limitation, but also note that this limitation cannot account for the interaction between hindsight bias and repetition priming observed in Experiments 1 and 2.

Materials

This experiment used the same items and audio clips from Experiment 2.

Design

This experiment followed a 4 (distortion condition: clear-distorted, distorted-clear, distorted-only estimation, distorted-only identification) × 4 (number of priming presentations: zero, one, three, six) mixed design with distortion condition as a between-subjects factor and number of priming presentations as a within-subjects factor.

Procedure

The exposure phase was the same as in Experiments 1 and 2. There were four test phase distortion conditions, three of which (clear-distorted, distorted-only estimation, and distorted-only identification) were the same as in Experiment 1. The new condition, distorted-clear, resembled the clear-distorted condition, except that in this case, the order of events in a trial was tone, distorted word, then clear word. The instructions were similar for the clear-distorted and distorted-clear conditions, in which participants estimated what percentage of their peers would have been able to identify the distorted word, assuming they had not heard the clear word. Participants in the distorted-clear condition were instructed to provide their estimate only after the clear presentation on each trial had occurred.

Results

Figure 4 depicts the mean proportion for each distortion condition as a function of the number of priming presentations. A preliminary analysis using a 4 (distortion condition) × 4 (priming presentations) mixed-factorial ANOVA on participant estimates revealed effects driven primarily by the vastly lower mean scores in the identification condition relative to the other two conditions. Consequently, we analyzed the identification condition on its own, and the other three conditions together. In a one-way ANOVA conducted on the percentage of correct responses in the identification condition, we found a significant effect of number of priming presentations, F(3, 66) = 13.67, MSE = .012, p < .001, with scores increasing monotonically with increasing number of priming presentations. We then analyzed the estimation condition scores using a 3 (distortion condition) × 4 (number of priming presentations) mixed-factorial ANOVA on participant estimates. We found no main effect of distortion condition, F(2, 181) = 1.35, MSE = .094, p = .026. We did find a main effect of number of priming presentations, F(3, 543) = 8.72, MSE = .008, p < .001, with scores again increasing monotonically with increasing number of priming presentations. Most importantly, we found a significant interaction between distortion condition and number of priming presentations, F(6, 543) = 3.13, MSE = .008, p = .005. We followed up by conducting one-way ANOVAs to test for repetition priming in each of the four distortion conditions. Consistent with previous results, the distorted-only estimation and distorted-only identification conditions showed repetition priming, F(3, 240) = 18.72, MSE = .008, p < .001, for distorted-only estimation; F(3, 66) = 13.67, MSE = .012, p < .001, for identification. Conversely, the two hindsight conditions did not show repetition priming, F(3, 234) = 1.59, p > .10, for clear-distorted; F < 1 for distorted-clear.

Fig. 4
figure 4

Mean proportion of estimated success on the estimation task and mean proportion correct on the identification task in Experiment 3. In the estimation task, one group of participants heard a clear presentation of the target word prior to the distorted version (clear- distorted), a second group heard the distorted version before hearing a clear version of a target, then made their estimate (distorted-clear), and a third group heard only the distorted version (distorted-only) when making their estimates. An additional group of participants was asked to identify the distorted target words (identification). All groups participated in a priming phase at the beginning of the experiment in which they heard zero, one, three, or six presentations of a target item in clear form. Data points are jittered on the horizontal axis to make them more distinct. Error bars are 95% within-subjects confidence intervals suitable for comparing across number of priming presentations within a group

We conducted two follow-up analyses on pairs of conditions, one comparing clear-distorted and distorted-only estimation (which maps directly onto the results of Experiments 1 and 2), and another with clear-distorted and distorted-clear (to test the prediction from the fluency misattribution account regarding discounting the influence of fluency).

Comparing the clear-distorted and distorted-only estimation conditions, we found no main effect of distortion condition, F < 1, a main effect of number of priming presentations, F(3, 474) = 14.00, MSE = .008, p < .001, and a significant interaction, F(3, 474) = 5.94, MSE = .008, p = .001, supporting the conclusion that repetition priming was evident only in the distorted-only estimation condition. Comparing the clear-distorted and distorted-clear conditions, we found no significant effects, F(1, 101) = 2.50, MSE = .096, p = .117, for distortion condition; F(3, 303) = 1.67, MSE = .008, p = .174, for number of priming presentations; F < 1 for the interaction.

Discussion

As in Experiments 1 and 2, we observed that the clear-distorted condition was insensitive to the number of priming presentations in the exposure phase, whereas the distorted-only estimation condition was sensitive to that factor. This result is once again consistent with the fluency-misattribution account of auditory hindsight bias: The exposure phase and the clear presentation at test both contribute to a common stage of processing, with a greater contribution of the temporally near, clear presentation relative to the influence of priming presentations in the exposure phase.

One will note that for unprimed items—those items that participants did not hear in the exposure phase of the experiment—the distorted-only identification rate was lower in Experiment 3 (M = .10) than in Experiment 1 (M = .43). This was because the stimuli used in these experiments were different; the stimuli for Experiment 1 were recorded in a male voice, whereas the stimuli for Experiment 3 were recorded in a female voice; there were also minor differences in the level of distortion of distorted items between the experiments, resulting in the items being harder to identify in Experiment 3 than in Experiment 1.

The clear-distorted condition and its comparison with the distorted-clear condition provided some insight into the constraints on attempts to discount the influence of the clear presentation. It appears that participants in the distorted-clear condition did not consistently generate an estimate of peer performance after experiencing the distorted target but before hearing its clear presentation. If they had done so, their performance should have resembled estimates provided by participants in the distorted-only estimation condition. Rather, participants in the distorted-clear condition followed instructions by waiting to make their judgment until after the clear presentation was provided. The impact of the clear presentation was similar regardless of whether the clear or the distorted version of the target occurred first. As we noted in the introduction to this experiment, this outcome is consistent with the fluency-misattribution account but not the sense-making account of auditory hindsight bias.

General discussion

Our three experiments establish a pattern of results consistent with a fluency-misattribution account of auditory hindsight bias. We presented clear versions of target words in an exposure phase zero, one, three, or six times. These items later appeared as distorted target words in a test phase. In the test phase, participants either heard a clear word they may have heard in the exposure phase, followed by a distorted word (clear-distorted), or they heard only the distorted version of the word (distorted-only). Participants in the test phase attempted to either identify each distorted target word or indicate how many out of 100 of their peers would be able to identify each of the distorted target words.

We observed repetition priming—from the manipulation of the number of priming presentations during the exposure phase—only in the distorted-only conditions in which participants judged distorted targets in the absence of a clear version of the target word. Specifically, more prime presentations increased participants’ identification success and estimates of peers’ ability to identify the distorted target words. When clear versions of target words preceded (barn–bahn) or succeeded distorted versions of target words (bahn–barn), the number of priming presentations during the exposure phase did not affect participants’ estimates of peers’ ability to identify the distorted target words. Moreover, estimates of peers’ ability to identify the distorted target word were higher when a clear version appeared before the target, relative to when no clear presentation appeared, constituting a robust hindsight-bias effect (see also Bernstein et al., 2012; Harley et al., 2004).

This insensitivity to the number of priming presentations induced by the clear presentation at test is consistent with the fluency-misattribution account. In terms of Roberts and Sternberg’s (1993) additive factors method, both the repeated primes in the exposure phase and the clear presentation at test contribute to the fluency with which participants process a given item; if these sources of fluency were operating independently—if they were involved in different stages of processing—we would expect to see an additive pattern of effects. Instead, we see an interactive data pattern, suggesting that both sources funnel into a single common mechanism (namely, fluency). The insensitivity to the number of priming presentations—an underadditive interaction with the influence of the clear presentation at test—is a consequence of the clear presentation at test (1) occurring much closer in time to the actual judgment than the repeated primes during the exposure phase, and (2) being known to be related to the identity of the distorted word (in contrast to items in the exposure phase, which appeared in one essentially homogenous block prior to the test phase). Overall, our data support the fluency-misattribution account, rather than the sense-making account, of auditory hindsight bias.

A possible concern when claiming evidence for a fluency-misattribution account is that the current study, like many others in the literature, lacked an independent measure of fluency. We have, however, our manipulation check: the distorted-only identification condition; the repetition-priming effect observed in this condition is evidence that increased number of prime presentations increased fluency. In our experiments, the distorted-only identification conditions showed a pattern of results parallel to that found in the distorted-only estimation condition. Although the distorted-only identification condition was conducted on an independent group in both cases, we can reasonably infer that this condition is a viable proxy for an independent measure of fluency. Future studies should provide an independent measure of fluency on each trial, such as reading time, that can then be correlated with peer estimates (see Undorf, Zimdahl, & Bernstein, 2017).

Links to hindsight bias

Our hindsight bias results differ from those in the literature. Specifically, we found that prior experimental exposure to clear versions of words (number of priming presentations) increased identification success (repetition priming); however, number of priming presentations had no noticeable effect on hindsight bias. Previous work has shown that compared with new trivia, prior experimental exposure to trivia increased participants’ thinking they knew the trivia all along (Wood, 1978) or estimates of peers’ ability to know the trivia (Birch et al., 2017; see also Harley et al., 2004). We believe that the different data patterns reflect stimulus and procedural differences. Birch et al. and Wood used trivia questions, and Harley et al. used celebrity faces.

Other work involving trivia shows that the more available the correct answer is when trying to recall one’s original, naïve answer or estimating what a naïve peer would answer, the more hindsight bias results (Groß & Bayen, 2015; Hell, Gigerenzer, Gauggel, Mall, & Muller, 1988). It is likely that Wood’s (1978) and Birch et al.’s (2017) participants found it hard to ignore the correct answers to trivia that they had studied multiple times, resulting in anchoring on the correct answer and insufficiently adjusting from it when estimating from a naïve perspective (see Epley, Keysar, Van Boven, & Gilovich, 2004). Our participants faced a somewhat different problem: They encountered clear versions of target words in an exposure phase, and later during a test phase, received an additional exposure to those clear words immediately prior to hearing a distorted version of the words. The test-phase exposure to clear words appears to have contributed substantially to the participants’ fluency for the word, overpowering the influence of priming-phase exposure to those words.

Harley et al.’s (2004), Experiment 3 stimuli and procedure also differed from those in the current work. During a distorted-only phase, Harley et al. had participants identify celebrity faces as those faces gradually clarified from full blur to full clarity. Later, during a clear-distorted phase, participants saw clear versions of celebrity faces before those faces again clarified from full blur to full clarity. Half the test faces had been seen in the distorted-only phase (old celebrity faces), and half had not (new celebrity faces). Participants indicated when a naïve peer would identify the celebrities, had their peer not seen the clear version of the celebrity face. Harley et al. found robust hindsight bias for both old and new celebrity faces in that participants stopped the clarification of faces sooner during the clear-distorted phase than during the distorted-only phase. Critically, though, participants showed more hindsight bias for old compared with new celebrity faces.

Harley et al. (2004) interpreted these results in terms of fluency misattribution; participants process distorted versions of celebrity faces more fluently when they have encountered both distorted and clear versions of those faces previously in the experiment. Because participants identified gradually clarifying celebrity faces during both distorted-only and clear-distorted phases, participants experienced massive fluency for old celebrity faces. Specifically, participants saw 30 levels of blur as each celebrity face clarified during the distorted-only phase, and the identical 30 levels of blur as each old celebrity face clarified during the clear-distorted phase. This massive fluency likely contributed to the increased hindsight bias for old versus new celebrity faces, because participants had trouble discounting fluency’s effects of their ability to identify blurred celebrity faces. Notably, Harley et al. compared no prior presentation to 30 prior presentations of a celebrity face. Using a within-subjects design, we compared no prior presentation in the distorted-only estimation condition with several different levels of prior presentation (up to a maximum of six) in the clear-distorted condition. Perhaps had we compared no prior presentation with six prior presentations only, we might have observed a difference between our zero-presentation versus six-presentation conditions (visual inspection of Figs. 2, 3 and 4 shows no difference between zero vs. six presentations). Hence, it is possible that distinctiveness accounts for differences between ours and Harley et al.’s results: In our experiments, old items were indistinct from new items. In Harley et al.’s experiment, old items were distinct from new items.

In light of our fluency-based account, the following picture emerges: Hindsight bias arises through a fluency-misattribution process in which participants fail to discount or ignore knowledge acquired through prior exposure to that knowledge, with number of priming presentations contributing heavily to that fluency. Why, then, do we see no benefit of number of priming presentations for hindsight items? As noted earlier, the single clear exposure at test is strong enough to overpower the combined effect of the clear presentations during the exposure phase; participants’ estimates seem to be determined primarily by exposure to the clear stimulus in the test phase, obscuring the effect of number of priming presentations from the exposure phase. That this does not happen in Harley et al. (2004) may be because in their work, the clear presentation at test (hindsight condition) was not strong enough to overpower the 30 levels of blur or priming that the participant had seen previously for old faces. Rather, Harley et al.’s participants likely encoded the clear presentation at test separately from the 30 levels of priming.

Another novel aspect of our findings involves the debiasing effect that we observed in Experiment 2 in the distorted-only estimation first condition. Here, participants experienced the difficulty firsthand of hearing distorted words and trying to estimate how many of their peers could identify those words. This initial experience with the distorted-only estimation condition gave participants an accurate sense of how hard the distorted-word identification task was. When they later encountered a situation in which their assessment of difficulty was contaminated by hearing a clear presentation of the target word just before hearing the distorted version of that target word, they successfully discounted not only the clear presentation but also the prior presentations from the exposure phase. This resulted in the successful elimination of auditory hindsight bias, a robust cognitive error that is hard to eliminate (see Bernstein et al., 2012; Pohl & Hell, 1996). The most successful ways to eliminate hindsight bias involve surprise or experience with alternatives (e.g., the election ended this way, but it could have ended that way). We eliminated auditory hindsight bias by giving participants experience with how hard it is to identify distorted words (see also Van Boekel, Varma, & Varma, 2017).

Our results have real-world implications for how privileged knowledge biases people’s estimates of other people’s knowledge. When we know the true state of affairs, be it the outcome to a game or election, or the identity of a distorted stimulus, we think that we and others knew it, saw it, or heard it all along. Such hindsight bias can hamper our ability to appreciate our own prior or other people’s struggles with uncertain judgments. Sometimes hindsight bias is benign; other times it is harmful, such as in the case of the Italian court finding a group of scientists and a former government official guilty of failing to predict a catastrophic earthquake. Whether benign or harmful, hindsight bias makes an uncertain world appear more certain.