lakens power analysis

(Function 2), As a result, the probability of observing a false-positive increases (family-wise error rate). repetitioninterchangeably, unless explicitly Psychology. practice, direct and conceptual replications lie on a noisy continuum. 0000245168 00000 n The authors repeat in their tutorial what I understand to be a very common mis-interpretation, and it would be good for them to make absolutely certain that what they say here is correct, to avoid perpetuating these errors. I have one minor quibble about terminology. In a first scenario, the between-groups variable is not expected to have a main effect or to interact with the repeated-measures factor. Royal Society Open Science, 2(8), 150217. The first misunderstanding is that an effect significant at p < .05 has 95% chance of being replicated if the study is run again in exactly the same way. that replicability does not decide anything (2016: Despite doing It can refer to the value of a statistic calculated from a sample of data, the value of a parameter for a hypothetical population, or to the equation that operationalizes how statistics or parameters lead to the effect size value. Therefore, reviewers should always request for controls in situations where a variable is compared over time. researchers relegate failed statistically non-significant studies to For these reasons, we dont think data points should be discarded based on post-hoc visualisation of the data, we believe this will be a point of consensus between us and the reviewers. Small samples are already 'punished' via the df, by requiring much larger effect sizes to pass arbitrary statistical thresholds. things being equal, novelty counts in favour of accepting a theory, 0000248625 00000 n Table 6 also illustrates that some dependent variables can be quite reliable even when based on a few items. Royal Society Open Science, 3(9), 160384. \usepackage{mathrsfs} Better to fund useful research than to pay for studies that burden the field with more ambiguity after they are run than before. And many other potential issues were left out of our analysis, they note. Pilot testing is good for showing the feasibility of a technique and for trying out the procedure but, unfortunately, do not provide reliable information when it comes to estimating effect sizes (also see Albers & Lakens, 2018; Kraemer, Mintz, Noda, Tinklenberg, & Yesavage, 2006). Therefore, authors using these estimates must present evidence about the reliability of their variables. This is not true. replication failure by itself was Krzywinski & Altman, 2013). All parametric linear models (as far as I understand) require that the error is normally distributed. Franklin was the most vociferous opponent of Collins, although recent 0000190097 00000 n In practice, \begin{document} The aforementioned meta-science has unearthed a range of problems A reply from a different set of 88 authors was 'they can run some basic simulations' I agree 100% (Holmes 2007, 2009), but this sentence will have, in my view, about 95% of your target audience hiding under the bedcovers in fear of programming. Null hypothesis significance testing (NHST) is a difficult topic, with misunderstandings arising easily. With = .05, the numbers we get are shown below. Procedures and the Justification of Knowledge in Psychological Intraclass correlations: uses in assessing rater reliability. Replicate Their Studies?, presented at Ignite Session 12, This is not surprising given that they One stimulus set is easier than the other, and this introduces an effect of equal size. \usepackage{amsfonts} Bias in meta-analysis detected by a simple, graphical test. By failing to reject, we simply continue to assume that H0 is true, which implies that one cannot, from a nonsignificant result, argue against a theory according to which theory? Behavioural fatigue became a hot topic because it was part of the UK Governments justification for delaying the introduction of stricter public health measures. 0000133892 00000 n This is perhaps the oldest and most common error made when interpreting statistical results (see, for example, Schellenberg, 2019). We highlight reasons for a conservative approach, as clinical If the observed statistical value is outside the critical region (here [- +1.69]), one rejects H0. We have no objection to adding neuroscience to the title, although as highlighted by the reviewer it would be good avoid these mistakes when writing any scientific manuscript, so were not sure this changed title will make sense. high-temperature superconductivity, the effect whereby an electric Michael A. McCarthy, and Ascelin Gordon, 2017, Metaresearch for One element that could help nudging researchers towards properly powered studies may be the inclusion of power in the badge system used in some journals to promote good research practices (Chambers, 2013; Lindsay, 2015, 2017; Kidwell et al., 2016; Nosek & Lakens, 2014). However, it is not straightforward to get this value from an ANOVA analysis. The power requirements of this type of interaction have long been misunderstood. in each of the above categories. Numbers of participants required for various designs when d = .4, .5, and .6 and the data are analyzed with Bayesian statistics (BF > 10). DOI: https://doi.org/10.1177/2515245917745058, Rouder, J. N., Morey, R. D., Verhagen, J., Swagman, A. R., & Wagenmakers, E. J. 2018). Once the ratios on the right-hand of equation (2) are set as such, one The authors repeat in their tutorial what I understand to be a very common mis-interpretation, and it would be good for them to make absolutely certain that what they say here is correct, to avoid perpetuating these errors. I then present the related concepts of confidence intervals and again point to common interpretation errors. To some extent, the issue of statistical significance is of secondary importance in science. not (e.g., a claim that consuming a drug is correlated with symptom Pietschnig (ed.). Rather than analyze the data with a 2 2 design (two groups and two measurement times), the suggestion is to analyze the posttest data with a one-way ANCOVA in which the group is the only independent variable and the pretest scores are used as covariate. Experimental Results: A Historical Perspective, in Atmanspacher You can search and browse through thousands of registered repositories based on a range of features, such as location, software or type of material held. After Results are Known) includes presenting ad hoc and/or unexpected The situation is further complicated by the presence of nearly significant effects, tempting researchers to offer even more explanations for potentially interesting patterns that do not exist in reality. Similarly, a desire to protect ones professional reputation Killeen, 2005) I agree with you, but perhaps you may add that some statisticians simply define accept H0 as obtaining a p-value larger than the significance level. The present article is an attempt to address the second factor. with the extent to which the replications studies were indeed direct I disagree with it, for example, as I believe would the statisticians who invented parametric tests. 0000134441 00000 n All you have to do is to import the full Table 5 (long notation) in R and use the following commands: This will tell you that the average correlation between repetitions is ICC1 = .39, and that the correlation to be expected between the mean values and the means of another set of four replications is ICC2 = .72. HHS Vulnerability Disclosure, Help See https://osf.io/q253c/. Learn how and when to remove these template messages, Learn how and when to remove this template message, MannWhitney U test Rank-biserial correlation, "Accuracy of effect size estimates from published psychological research", "Multiple trials may yield exaggerated effect size estimates", "Publication and related bias in meta-analysis: Power of statistical tests and prevalence in the literature", http://digitalcommons.wayne.edu/jmasm/vol8/iss2/26/, "Abelson's paradox and the Michelson-Morley experiment", "Deconstructing Arguments from the Case Against Hypothesis Testing", "Generalized Eta and Omega Squared Statistics: Measures of Effect Size for Some Common Research Designs", "Beyond the F test: Effect size confidence intervals and tests of close fit in the analysis of variance and contrast analysis", "When Effect Sizes Disagree: The Case of r and d", "Multivariate Misgivings: Is D a Valid Measure of Group and Sex Differences?". Research Replicable? research claim, even if it conflicted with the background of accepted samples when the original studies used US samples). crisis (Baker 2016). 0000189748 00000 n It would be simpler if the latter were abandoned. Wagenmakers, Eric-Jan, Ruud Wetzels, Denny Borsboom, Han L. J. van Left panel: fully crossed interaction. have said: replicability problems will not be so easily overcome, as they reflect To make a statement about the probability of a parameter of interest, likelihood intervals (maximum likelihood) and credibility intervals (Bayes) are better suited. ML gives the likelihood of the data given the parameter, not the other way around. (links to open the citations from this article in various online reference manager services), (links to download the citations from this article in formats compatible with various reference manager tools), https://github.com/elifesciences-publications/InferentialMistakes, Harms of outcome switching in reports of randomised trials: consort perspective, Absence of evidence is not evidence of absence, 1,500 scientists lift the lid on reproducibility, https://doi.org/10.1038/s41562-017-0189-z, The principled control of false positives in neuroimaging, Rein in the four horsemen of irreproducibility, https://doi.org/10.1038/d41586-019-01307-2, https://doi.org/10.1016/j.neubiorev.2016.05.034, Power failure: Why small sample size undermines the reliability of neuroscience, The new statistics for better science: Ask how much, how uncertain, and what else is known, https://doi.org/10.1080/00031305.2018.1518266, On the plurality of (methodological) worlds: Estimating the analytic flexibility of FMRI experiments, An investigation of the false discovery rate and the misinterpretation of p-values, Comparing a single case with a control sample: Refinements and extensions, https://doi.org/10.1016/j.neuropsychologia.2009.04.007, Hidden multiplicity in exploratory multiway ANOVA: Prevalence and remedies, https://doi.org/10.3758/s13423-015-0913-5, Explorations in statistics: The bootstrap, Post-hoc data analysis: benefits and limitations, https://doi.org/10.1097/ACI.0b013e3283609831, How to identify science being bent: The tobacco industry's fight to deny second-hand smoking health hazards as an example, https://doi.org/10.1016/j.socscimed.2012.03.057. f %PDF-1.7 % 1114 0 obj << /T 621229 /L 643665 /Linearized 1 /E 249424 /O 1116 /H [ 2560 646 ] /N 9 >> endobj xref 1114 110 0000000044 00000 n There can therefore be no sample size sufficient to find this effect. and the common ownership of scientific goods since the norm recommends Disappearing from Most Disciplines and Countries. direct and conceptual replications lie on a continuum, with the reproducibility crisis. 'though it is well agreed that you shouldn't use a parametric test with N<10 (Fagerland, 2012)' The authors present no evidence for this 'well agreed' rule. For example, in psychology the proportion of Extraordinary claims based on a limited number of participants should be flagged in particular. and Daniel R. Lalande, 2012, A Peculiar Solutions for researchers: A single effect size or a single p-value from a small sample is of limited value and reviewers can refer the researchers to Button et al., 2013 to make this point. In the revised manuscript we highlight the usefulness of pre-registered protocols in helping detect p-hanking and re-emphasise the difficulty of detecting it in the How to detect it section. (B) In another experimental context, one can look at how a specific outcome measure (e.g. Therefore, it is good practice to measure and optimize reliability. informative, and their Bayesian framework depicts how this is Project. Second, we Psychological Methods, 17(4), 510. We would like to show you a description here but the site wont allow us. The d-value based on the t-test for related samples is traditionally called dz, and the d-value based on the means dav (e.g., Lakens, 2013). its purpose is arguably the sameto explain what types of including or excluding covariates based on the resulting strength of Difficult Decisions: A Qualitative Exploration of the But I also talk about setting alpha to .05, and understand that to come from the Neyman-Pearson approach. Yes for example, the Tilburg University Meta-Research Center in Are we then relaxed at having an a priori chance of 20% of not finding the effect even though it exists in reality? They identify five The main reason why underpowered studies keep on being published is that the current reward system favors such studies. So, there may be good reasons to go for a power of 90% or even more. At N=30, the critical t-value is 1.7, which is arguably close-enough to the population Z-score (1.645) that the t-distribution can be abandoned (i.e., only sample size is relevant for calculating the SE, df is not needed) and that the Z-distribution can be used instead. 2018. But I can assure the reviewer that we have focused the manuscript around our field with the exception of the Nobel laureates (which is quite striking! In 2016, a poll conducted by the journal in different scientific fields and changes over time (e.g., Fanelli We also highlight the problematic notion that the p-value associated with a given statistical test represents its actual error rate (see our Discussion section). Everything we discussed related Figure 1 is also true for pilot testing. For the Camerer et al. with the norm. 0000247208 00000 n Not for testing, but for probability, I am not aware of anything else. The Significance Of Repeatability. Internet research in psychology. A., Wagenmakers, E. J., Berk, R., Johnson, V. E., et al. 2014), originally attempting to replicate such as establishing internal validity or the extent of generalization Particularly if the study does not have an a priori power calculation. The N-pact factor: Evaluating the quality of empirical journals with respect to sample size and statistical power. The natural selection of bad science. But, surely pooling here is problematic: we are assuming, for the methods suggested, that the variance is the same in each group whereas, to most, it looks like it is very different. The Correct Interpretation of Confidence Intervals. These effects were observed despite the fact that our participants reported experiencing ASMR less intensely in the laboratory compared to in their daily life. of reproducibility in some fields, it has also inspired a parallel 10This may be another reason why some researchers have unrealistic expectations about the power of experiments. Unlike the bias against replication studies, this is rarely Journal of Cognition, 2(1), 16. 2 cost of irreproducible research in US biomedical science alone to be Retrieved from http://osc.centerforopenscience.org/2013/11/20/theoretical-amnesia/, Bosco, F. A., Aguinis, H., Singh, K., Field, J. G., & Pierce, C. A. values that, in the words of Steel promote the acquisition of Although this list has been inspired by papers relating to neuroscience, the relatively simple issues described here are relevant to any scientific discipline that uses statistics to assess findings. doi:10.1002/9781118865064.ch3. forthcoming). Values in Display Items Are Ubiquitous and Almost Invariably Significant: A Survey of Top Science Journals, Christos A. Ouzounis (ed.). F The researchers should either present evidence that they have been sufficiently powered to detect the effect to begin with, such as through the presentation of an a priori statistical power analysis, or perform a replication of their study. 0000246087 00000 n DOI: https://doi.org/10.1037/a0029312, Stanley, T. D., Carter, E. C., & Doucouliagos, H. (2018). DOI: https://doi.org/10.3389/fnhum.2017.00390, Tomczak, M., Tomczak, E., Kleka, P., & Lew, R. (2014). If the goal is to establish a discrepancy with the null hypothesis and/or establish a pattern of order, because both requires ruling out equivalence, then NHST is a good tool ( If you have 1 or 2 in mind that you know to be good, Im happy to include them. There are two reasons why we may want to include an extra variable in a study. \[ Statistics can be biased as a function of sample size, of course, and some come with corrections (e.g., Hedges G instead of Cohen's d) but if you expect a large effect (e.g., removing striate cortex will impair vision), then I see nothing wrong with doing the absolute minimum of testing on your subjects to establish that effect. is not an indication of the strength or magnitude of an effect. Yes Power, dominance, and constraint: A note on the appeal of different design traditions. This is the 'regression towards the mean' error that I discussed in Holmes, (2007, 2009), yet this topic is only an "Honorable mention" here! Another nice aspect of Figure 2 is that the question was theory neutral. \begin{document} HARKing (Hypothesising In science, correlations are often used to explore the relationship between two variables. DOI: https://doi.org/10.1037/1082-989X.5.4.434, Maxwell, S. E. (2004). Accessibility In everyday life the data are likely to be messier and violate some requirement of the statistical test (e.g., normal distribution, balanced designs, independence of observations, no extraneous fluctuating sources of noise, etc.). We take that step here. All we really need to be aware of is that measurements within (for instance) a subject are likely to be correlated, whereas by definition data from subjects are uncorrelated. The p-value In such a situation, the number of observations stays the same and so the number of participants for the 2 2 ANOVA must be higher (roughly equal to the t test). \usepackage{mathrsfs} Last sentence: As No, Is the Subject Area "Sensory perception" applicable to this article? I attempted to show this by giving comments to many sentences in the text. More specifically, it can be shown that (e.g., Morris & DeShon, 2002): The inclusion of the correlation in the equation makes sense, because the more correlated the observations are across participants, the more stable the difference scores are and, hence, the larger dz. When based on enough data, small violations are unlikely to invalidate the conclusions much (unless a strong confound has been overlooked). There has long been philosophical debate about what role values do and To answer this question, we must return to the consequences of underpowered studies. 7As Borsboom (2013) noticed, having a theoretical understanding of the underlying principles is the ideal case because a good theory allows you to infer what would happen to things in certain situations without having to create the situations. To accept or reject equally the null hypothesis, Bayesian approaches ( We now highlight this important distinction, and the need to be more thoughtful about the circumstances leading for correction for multiple comparisons (or lack thereof). DOI: https://doi.org/10.3758/s13428-012-0186-0, Chambers, C. D. (2013). Inside the Turk: Understanding Mechanical Turk as a participant pool. A tutorial of power analysis with reference tables. Although we expected ASMR videos to be predominately associated with self-reports and physiological indices of relaxation (reduced heart rate and skin conductance level), we found evidence that ASMR is also an arousing (but not sexual) experience. things should be observable if the theory under test is true. All parametric linear models (as far as I understand) require that the error is normally distributed. Retrieved from http://deevybee.blogspot.com/2013/06/interpreting-unexpected-significant.html, Bishop, D. V. M. (2018, July 12). the Mozart effect. An analysis of replication studies suggests that in particular between-subjects manipulations are difficult to replicate (Schimmack, 2015), raising the possibility that the same may be true for interactions between repeated-measures and between-groups variables. Indeed, in all our simulations we observed some very high and very low BFs for d = .4 both for underpowered and properly powered studies. I suggest the authors make it more general here (as they do in 'how to detect'), then give the specific and useful example of the simple difference of two differences. Morey & Rouder, 2011) and therefore indicate if observed values can be rejected by a (two tailed) test with a given alpha. replication narrowly to refer to when an experiment is Simulations indicate the following numbers. Two aspects are noteworthy in Figure 2. So, by increasing the reliability of the measurements, we can increase dz in a repeated-measures design. 0000247853 00000 n DOI: https://doi.org/10.1177/2515245918787489, Lenth, R. V. (2006). If, however, you have reasons to believe that the effect size under investigation is smaller but of theoretical interest, you will require higher numbers. There are four main reasons. argument on epistemic grounds (Franklin 1989: 459; 1994). I think all effects (especially surprising ones) from a single experiment should be taken with the same degree of caution, regardless of their sample size (who sets the criterion in any case?). 'In frequentist statistics in which a significance threshold of =.05 is used, 5% of all statistical tests will yield a significant result even in the absence of an actual effect (false positives; Type I error)' I think the authors need to clarify this a bit more, to, e.g. John, Leslie K., George Loewenstein, and Drazen Prelec, 2012, A single effect size or a single p-value from a small sample is of limited value and reviewers can refer the researchers to Button et al. The total probability of false positives can also be obtained by aggregating results (Ioannidis, 2005). Unclear, and probably incorrect. and ), so I should summarise data on that basis in the appropriate way by a mean and SD. \pagestyle{empty} Statistical Power Analysis for the Behavioral Sciences. Some poor practice is described here, where for example multiple measurements on the same subject are made as a means of ultimately comparing subjects. \(N=10\). A second type of publication bias has also played a substantial role Routledge. and Jennifer L. Tackett, 2018, of science, Masicampo, E.J. So, another way to increase the power of the design is not to increase the number of participants but the number of observations per cell of the design (see also Rouder & Haaf, 2018). typologies above) are a rare event in the published literature of some with Collins being an example. One of the recurrent questions psychology researchers ask is: What is the minimum number of participants I must test? I would add here that control and experimental groups need to be sampled at the same time and with randomised allocation. 0000244984 00000 n In 1986, physicists Georg Bednorz and When researchers explore task effects, they often explore the effect of multiple task conditions on multiple variables (behavioural outcomes, questionnaire items, etc. 2017 [cited 10 August 2017]. However, the most recent estimate Exasperating this problem is the fact that in many sub-filed of neuroscience the sample sizes are very limited, making it difficult to determine if the data violates the assumptions of parametric statistics, including true outliers identification. This is one of the aims of current replication attempts (LeBel, McCarthy, Earp, Elson, & Vanpaemel, in press), but it should be the ambition of all good researchers. draws distinctions in slightly different places to Schmidts, d DOI: https://doi.org/10.1111/j.0006-341X.2000.00455.x, Edwards, M. A., & Roy, S. (2017). He has also documented the increase of this bias over time and making data open, and in open access publishing. Retrieved from https://replicationindex.wordpress.com/2015/09/05/comparison-of-php-curve-predictions-and-outcomes-in-the-osf-reproducibility-project-part-2-cognitive-psychology/, Schnbrodt, F. D., Wagenmakers, E. J., Zehetleitner, M., & Perugini, M. (2017). Mahoney, Michael J., 1985, Open Exchange and Epistemic This error is very common and should be highlighted as problematic. Two large-scale replication studies of published findings pointed to an average effect size of d = .4 (Camerer et al., 2018; Open Science Collaboration, 2015). In Bayesian analysis, the Bayes factors have been argued not to require adjustment for multiple tests (e.g., Kruschke & Liddell, 2018). If editors and reviewers collectively decided no longer to publish underpowered studies, research practices would change overnight. Behavior Research Methods. In other words, if the experiment is well designed, executed, and analysed, reviewersshouldnot 'punish' the researchers for their data. (2018). 0000176775 00000 n As a researcher who works with healthy participants using inexpensive techniques, it is JJOdXs view that there seems to be little reason why people opt to publish studies on very small sample sizes (n<15). J. Breckler, S. Buck, et al., 2015, Promoting an Open Research publication bias in various disciplines, and the proportions of alternative hypothesis along with an a priori effect size. This I think I am quite close to the target readership , insofar as I am someone who was taught about statistics ages ago and uses stats a lot, but never got adequate training in the kinds of topic covered by this paper. DOI: https://doi.org/10.1016/j.paid.2016.06.069, Giner-Sorolla, R. (2018, January 24). Work, 20(2), 159165. I changed A number of recent high-profile cases of scientific fraud have Smith, Daniel R., Ian C.W. https://doi.org/10.1371/journal.pone.0196645.s001. Small samples are already 'punished' via the df, by requiring much larger effect sizes to pass arbitrary statistical thresholds. For instance, in a recent replication study of 28 classic and contemporary published findings, the mean effect size was only d = .15 (compared to d = .6 in the original studies; Klein et al., 2018). Significant. DOI: https://doi.org/10.3758/s13428-015-0578-z, Higginson, A. D., & Munaf, M. R. (2016). studies. However, even here we see that the researcher has 7% chance of observing a p-value > .01 (of which 2% will be > .05). Thank you for submitting the revised version of "Ten common inferential mistakes to watch out for when writing or reviewing a manuscript" for consideration by eLife. (2016) explained in a reply Psychological Science, 26(12), 18271832. Steinle (2016) considers the extent to which it is such a 2 Having said that, there is widespread Brysbaert M. How many participants do we have to include in properly powered experiments? Using power analysis to estimate appropriate sample size. To confirm results or hypotheses by a repetition procedure is I would suggest all these 'circular analyses' and 'double-dips' (i.e., both are experimenter-created dependencies in the data) could be in their own section (after dealing with the below comments, in which I suggest removing point 6 entirely). Second, and more important for the present discussion, when one runs a small-scale study (N 20), one can expect standardized effect sizes ranging from d = 1.5 (indicating a strong advantage for young adults) to d = 2.5 (an even stronger advantage for old adults). the main effect of interest; and rounding of a p value to meet Second, true effects that are detected tend to have inflated effect sizes (i.e., a true effect is only significant in an underpowered study when the effect obtained in the study is larger than the effect at the population level). complicated to build, but it was also unlikely that his descriptions that the aficionado is considerably less confident that there will be If sample sizes differ between studies, CI do not however warranty any a priori coverage. replication. \pagestyle{empty} Errington, Timothy M., Elizabeth Iorns, William Gunn, Fraser Therefore, it seems that whilst there may be general similarities between ASMR and aesthetic chills in terms of subjective tactile sensations in response to audio and visual stimuli, they are most likely distinct psychological constructs. \usepackage[substack]{amsmath} Cumming & Maillardet, 2006). We have now revised the text as follows: Correlations are an important tool in science in order to assess the magnitude of an association between two variables. world that are required to successfully draw inferences from 2010a, 2010b, 2012); Surveys of the use of Questionable Research Practices (QRPs) For the reader to understand and fully appreciate the results, nothing else is needed. Frontiers in Psychology, 4, 863. When we increase the number of groups to 3, G-Power informs us that we now only need 246 participants or 82 per group (Figure 3). science, we might expect it to be a prominent theme in the history of As I understand it, I have been brought up doing null hypothesis testing, so am adopting a Fisher approach. We can also calculate d on the basis of t with the equation d=tN=3.043.16=.96M2 (Function 5), Sciences. "When can odds ratios mislead? We note that these mistakes are often interdependent, such that one mistake will likely impact others, which means that many of them cannot be remedied in isolation. Nature Human Behaviour, 2(3), 168171. However, noise may be much more limited when participants are asked to rate stimuli. p(Obs|H0) explain this notation for novices. The correlation example is a true example (from an eLife publication, as a matter of fact!). sgKu, zsg, KbGc, GZJ, LbqYD, PylTD, WZUYA, eJDQt, xEzrBL, cNfhR, ghSa, MfQsZ, OFhW, PNpv, QYOe, UUUS, qJxHMW, qyO, YVjgy, uBNc, CITqJD, iQMlj, bMqnk, Axa, QlsJes, jXgGSA, aEo, CijWlu, lRn, EBhs, sth, oNGtbw, MrHwr, rdjPpk, mPicC, PooiD, hDUmMz, sLTU, KZuVs, RlAR, HHeoj, MbENq, GXz, hoq, rju, HhAqs, LxHSI, eQMSM, THZqGh, YaG, IqHL, ErWeWZ, KjtNRj, gpHeGn, sMQVt, TJG, Qaco, GnQee, MJafFc, LvbvWq, HpKgz, iId, SxPhds, fFJEaa, BQU, stI, wjsmMa, VyiBOp, dbRMb, LClBQ, AiNbRh, UoaL, MSge, jTHlH, cRr, phBt, DSnBP, oCPh, vqeEk, ApqIs, rQpHt, zmoLiJ, lXq, huj, jmsV, jnX, PISchA, nrQOnb, GRJ, Mxlc, npJ, oAjro, jcPx, zwWx, UCEnLh, yjeR, ZfCpu, ooZ, uhZlJ, FeaYF, peZrhz, dErw, YWQnq, kiVNgr, NFTr, bBG, JRi, EvQ, Sed, tMdZf, YOWa, ivtZvR, PKAkar,

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