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Best Practices in Statistical Data Analysis
Willem Heiser farewell symposium 30 January 2014
Richard Gill
http://www.math.leidenuniv.nl/~gill
FlashReport
The effect of color (red versus blue) on assimilation versus contrast in
prime-to-behavior effects
Dirk Smeesters a,
⁎, Jia (Elke) Liu b
a
Erasmus University, Rotterdam, The Netherlands
b
University of Groningen, Groningen, The Netherlands
a b s t r a c ta r t i c l e i n f o
Article history:
Received 6 December 2010
Revised 9 February 2011
Available online 19 February 2011
Keywords:
Color
Priming
Similarity focus
Assimilation
Contrast
This paper examines whether color can modify the way that primed constructs affect behavior. Specifically,
we tested the hypothesis that, compared to the color white, blue is more likely to lead to assimilative shifts in
behavior, whereas red is more likely to lead to contrastive changes in behavior. In our experiment, previous
findings were replicated in the white color condition: participants’ behavior assimilated to primed
stereotypes of (un)intelligence and contrasted away from primed exemplars of (un)intelligence. However,
in the blue color condition, participants’ behavior assimilated to the primed constructs, whereas in the red
color condition, participants’ behavior contrasted away from the primed constructs, irrespective of whether
the primed constructs were stereotypes or exemplars.
© 2011 Elsevier Inc. All rights reserved.
Colors are omnipresent in our surroundings (people, objects,
environments). Although there has been a vast amount of research on
color in physics, physiology, and human perception, there is
surprisingly little work on the effect of color on human behavior
(Fehrman & Fehrman, 2004; Whitfield & Wiltshire, 1990). Recently,
Elliot, Maier, Moller, Friedman, and Meinhardt (2007) (see also Elliot
& Maier, 2007) proposed that colors are not just aesthetic elements
but carry psychological meanings. Individuals form specific associa-
tions to colors due to repeated encounters of situations in which
colors are accompanied with particular concepts or experiences. Red
is typically associated with danger (e.g., stop lights, warnings),
whereas blue is linked with openness (e.g., ocean, sky). Consequently,
exposure to red in an achievement context can evoke avoidance
behavior (Elliot, Maier, Binser, Friedman, & Pekrun, 2009) and impair
intellectual performance (Elliot et al., 2007; Maier, Elliot, & Lichten-
feld, 2008) because red is associated with the danger of failure in
achievement contexts (i.e., red pens to indicate errors). Further,
Mehta and Zhu (2009) found that whereas red enhances performance
on a detail-oriented task, blue facilitates creative thinking.
In the present paper, we test the novel hypothesis that the colors
red and blue can modify the nonconscious influence of primed
constructs on behavior. It is well established that primed social
constructs influence behavior in an assimilative (e.g., when primed
with a stereotype) or contrastive manner (e.g., when primed with an
extreme person exemplar). Specifically, we examine whether red can
lead to behavioral contrast, due to a dissimilarity focus, whereas blue
can lead to behavioral assimilation, due to a similarity focus,
irrespective of whether a stereotype or exemplar is primed.
Color and prime-to-behavior effects
Red and blue colors can induce different motivations in individuals
(Mehta & Zhu, 2009). Red, associated with danger and mistakes,
induces an avoidance motivation and makes people become vigilant
(Friedman & Förster, 2005). As a result, exposure to red (versus blue)
narrows the scope of attention, enhancing among others performance
on detailed-oriented tasks (Mehta & Zhu, 2009). On the other hand,
blue, associated with openness, induces an approach motivation.
Consequently, exposure to blue broadens the scope of attention,
causing people to behave in an explorative way (Mehta & Zhu, 2009).
Thus, red and blue tune the scope of attention differentially, with blue
[red] leading to attentional broadening [narrowing] (Friedman &
Förster, 2010). Consistent with this notion, Maier et al. (2008) showed
that participants exposed to red focused on the detailed local feature
(triangle) of a target figure (a square composed of symmetrically
arranged triangles) and ignored the broad global form (square).
People's scope of attention, narrow or broad, further shifts their (dis)
similarity focus (Förster, 2009). This is because attentional broaden-
ing (global focus) enhances inclusive categorization and involves
finding relations and similarities between stimuli, whereas attention-
al narrowing (local focus) fosters exclusive categorization and entails
searching for dissimilarities to distinguish between stimuli (Förster,
Liberman, & Kuschel, 2008). To demonstrate the link between
attentional broadening [narrowing] and similarity [dissimilarity]
focus, Förster (2009) found that people who narrowly focused on
the details of a map generated more differences (but fewer
Journal of Experimental Social Psychology 47 (2011) 653–656
⁎ Corresponding author.
E-mail address: DSmeesters@rsm.nl (D. Smeesters).
0022-1031/$ – see front matter © 2011 Elsevier Inc. All rights reserved.
doi:10.1016/j.jesp.2011.02.010
Contents lists available at ScienceDirect
Journal of Experimental Social Psychology
journal homepage: www.elsevier.com/locate/jesp
R
ETR
A
C
TED
Linking thought suppression and recovered memories
of childhood sexual abuse
Elke Geraerts
Maastricht University, the Netherlands, and Harvard University, Cambridge, MA, USA
Richard J. McNally
Harvard University, Cambridge, MA, USA
Marko Jelicic, Harald Merckelbach, and Linsey Raymaekers
Maastricht University, the Netherlands
There are two types of recovered memories: those that gradually return in recovered memory therapy
and those that are spontaneously recovered outside the context of therapy. In the current study, we
employed a thought suppression paradigm, with autobiographical experiences as target thoughts, to test
whether individuals reporting spontaneously recovered memories of childhood sexual abuse (CSA) are
more adept at suppressing positive and anxious autobiographical thoughts, relative to individuals
reporting CSA memories recovered in therapy, relative to individuals with continuous abuse memories,
and relative to controls reporting no history of abuse. Results showed that people reporting
spontaneously recovered memories are superior in suppressing anxious autobiographical thoughts,
both in the short term and long term (7 days). Our findings may partly explain why people with
spontaneous CSA memories have the subjective impression that they have ‘‘repressed’’ their CSA
memories for many years.
How people remember*or forget*extremely
distressing experiences has been among the most
contentious debates in the history of psychology
and psychiatry (e.g., Loftus, 1997; McNally, 2003;
Schacter, 1995). Especially prominent has been
the controversy concerning the authenticity of
repressed and recovered memories of childhood
sexual abuse (CSA). As Clancy and McNally
(2005/2006) have pointed out, many authors on
both sides of this controversy presuppose that
CSA counts as a traumatic stressor*an overwhel-
mingly terrifying event that almost by defini-
tion would be encoded extremely well. Yet
empirical studies show that memories of traumatic
experiences are usually extremely difficult to
forget (Alexander, Quas, Goodman, Ghetti, &
Edelstein, 2005; McNally, 2003). Accordingly,
some researchers have argued that at least some
instances of presumably repressed CSA involve
false memories (e.g., Loftus, 2003). On the other
hand, many clinicians have assumed that in cases
of recovered CSA memories, special dissociative
mechanisms have been operative, preventing
these traumatic memories from emerging into
conscious awareness (e.g., Spiegel, 1997, p. 6).
However, a radically different scenario would
Address correspondence to: Elke Geraerts, Department of Psychology, Harvard University, 1232 William James Hall, 33
Kirkland Street, Cambridge, Massachusetts 02138, United States. E-mail: E.Geraerts@Psychology.Unimaas.NL
We would like to thank Dr. Amanda Barnier for serving as editor on this paper.
The writing of this paper was supported in part by a grant from the Netherlands Organization for Scientific Research
(016.075.144) awarded to Elke Geraerts.
# 2007 Psychology Press, an imprint of the Taylor & Francis Group, an Informa business
MEMORY, 2008, 16 (1), 22Á28
http://www.psypress.com/memory DOI:10.1080/09658210701390628
Retracted
Downloadedby[UniversiteitLeiden/LUMC]at04:1730January2014
Worst Practices in
Statistical Data Analysis
•Flashback: one year ago in Tilburg
•Meeting of the social science section of the
Dutch statistical society: Statistiek uit de bocht
(Statistics round the bend)
Ideas stolen from Marcel van Assen, Jelte Wicherts,
Frank van Kolfschooten, Han van der Maas, Howard Wainer …
A talk within a talk
& some reflections on
scientific integrity
… or … ?
Integrity or fraud …

or just

questionable research practices?
Richard Gill
Original talk December 2012; updated July 2013
http://www.math.leidenuniv.nl/~gill
Smeesters: closed
Geraerts: open, controversial
•Smeesters affair
•Geraerts affair
•August 2011: a friend draws attention of
Uri Simonsohn (Wharton School, Univ. Penn.)
to “The effect of color ... ”
by D. Smeesters and J. Liu
Smeesters
Hint: text mentions a number of within group SD’s; group sizes ≈ 14
•Simonsohn does preliminary statistical analysis
indicating results are “too good to be true”
3×2×2 design,
≈14 subjects per group
•Outcome: # correct answers in 20 item
multiple choice general knowledge quiz
!
•Three treatments:
•Colour: red, white, blue
•Stereotype or exemplar
•Intelligent or unintelligent
Unintelligent Intelligent
Exemplar Kate Moss Albert Einstein
Stereotype A supermodel A professor
•Red makes one see differences
•Blue makes one see similarities
•White is neutral
!
•Seeing an intelligent person makes you feel intelligent
if you are in a “blue” mood
•Seeing an intelligent person makes you feel dumb
if you are in a “red” mood
!
•Effect depends on whether you see exemplar or stereotype
Priming
•The theory predicts something very like the
picture (an important three way interaction!)
•August 2011: a friend draws attention of Uri Simonsohn
(Wharton School, Univ. Penn.) to “The effect of color”
by D. Smeesters and J. Liu.
•Simonsohn does preliminary statistical analysis indicating
“too good to be true”
•September 2011: Simonsohn corresponds with Smeesters,
obtains data, distribution-free analysis confirms earlier findings
•Simonsohn discovers same anomalies in more papers by
Smeesters, more anomalies
•Smeesters’ hard disk crashes, all original data sets lost.
None of his coauthors have copies.
All original sources (paper documents) lost when moving office
•Smeesters and Simonsohn report to authorities
•June 2012: Erasmus CWI report published, Smeesters resigns,
denies fraud, admits data-massage “which everyone does”
•Erasmus report is censored, authors refuse to answer questions,
Smeesters and Liu data is unobtainable, identity Simonsohn unknown
•Some months later: identity Simonsohn revealed, uncensored version
of report published
•November 2012: Uri Simonsohn posts “Just Post it: The Lesson from
Two Cases of Fabricated Data Detected by Statistics Alone”
!
•December 2012: original data still unavailable, questions to Erasmus
CWI still unanswered
March 2013: Simonsohn paper published, data posted
http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2114571
Two cases? Smeesters, Sanna; third case, inconclusive
(original data not available)
What did Simonsohn
actually do?
•Theory predicts that the 12 experimental groups
can be split into two sets of 6
•Within each set, groups should be quite similar
•Smeesters & Liu report some of the group
averages and some of the group SD’s
•Theory:
variance of group average = within group
variance divided by group size!
•The differences between group averages are too
small compared to the within group variances!
(*) Fisher: use left tail-probability of F- test for testing too good to be true
•Simonsohn proposes ad-hoc(*) test-statistic
(comparing between group to within group
variance), null distribution evaluated using
parametric bootstrap
•When original data is made available, can repeat
with non-parametric bootstrap
•Alternative: permutation tests
•Note: to do this, he pools each set of six groups.
“Assumption” that there is no difference between
the groups within each of the two sets of six
groups is conservative
sigma <- 2.9!
pattern <- c(rep(c(1, 0), 3), rep(c(0, 1), 3))!
means <- pattern!
means[pattern == 1] <- 11.75!
means[pattern == 0] <- 9.5!
set.seed(2013)!
par(mfrow = c(3,4), bty = "n", xaxt = "n", yaxt = "n")!
for (i in 1:12) { averages <- rnorm(12, mean = means, sd = sigma/sqrt(14))!
dim(averages)<- c(2, 6)!
averages <- rbind(averages-6, 0)!
plot(c(0, 20), c(0, 7), xlab = "", ylab = "", type = "n")!
abline(h = 0:6)!
barplot(as.vector(averages), col = rep(c("black", "white", "white"), n = 6),!
add = TRUE)!
}
A picture tells 1000 words
Spot the odd one out!
Spot the odd one out!
Further analyses
•Simonsohn’s test-statistic is actually
equivalent to standard ANOVA F-test of
hypothesis “each of two groups of six
conditions have the same mean” – except
that we want to reject if the statistic is too
small
Further analyses
> result.anova!
Analysis of Variance Table!
!
Model 1: score ~ (colour + prime + dimension)^2!
Model 2: score ~ colour * prime * dimension!
Res.Df RSS Df Sum of Sq F Pr(>F) !
1 159 1350.8 !
2 157 1299.6 2 51.155 3.0898 0.04829 *
Test of 3-way interaction
Smeesters and Liu
(OK, except d.f.)
RDG
data <- data.frame(score = scores, colour = colour, prime = prime, !
dimension=dimension, pattern=pattern.long)!
!
result.aov.full <- aov(score~colour*prime*dimension, data = data)!
result.aov.null <- aov(score~(colour+prime+dimension)^2, data = data)!
result.anova <- anova(result.aov.null, result.aov.full)!
result.anova!
!
result.aov.zero <- aov(score ~ pattern, data=data)!
result.anova.zero <- anova(result.aov.zero, result.aov.full)!
!
result.anova.zero$F[2]!
pf(result.anova.zero$F[2], df1=10, df2=156)
Test of too good to be true
data <- data.frame(score = scores, colour = colour, prime = prime, !
dimension=dimension, pattern=pattern.long)!
!
result.aov.full <- aov(score~colour*prime*dimension, data = data)!
result.aov.null <- aov(score~(colour+prime+dimension)^2, data = data)!
result.anova <- anova(result.aov.null, result.aov.full)!
result.anova!
!
result.aov.zero <- aov(score ~ pattern, data=data)!
result.anova.zero <- anova(result.aov.zero, result.aov.full)!
!
result.anova.zero$F[2]!
pf(result.anova.zero$F[2], df1=10, df2=156)
> result.anova.zero$F[2]!
[1] 0.0941672!
> pf(result.anova.zero$F[2], df1=10, df2=156)!
[1] 0.0001445605
•Scores (integers) appear too uniform
!
!
!
!
•Permutation test: p-value = 0.00002
Further analyses
Paper 1: “Memory”
Geraerts
Paper 2: “JAb (submitted)”
Geraerts
•Senior author Merckelbach becomes suspicious
of data reported in papers 1 and 2
•He can’t find “Maastricht data” among Geraerts
combined “Maastricht + Harvard” data set for
paper 2 (JAb: Journal of Abnormal Psychology)
Too good to
be true?
(JAb)
> tapply(ProbeTotalNeg, group, mean)!
14.666667 6.600000 6.233333 6.133333
!
> tapply(ProbeTotalNeg, group, sd)!
2.564120 3.864962 3.287210 3.598212 !
!
!
> tapply(SelfTotalNeg, group, mean)!
7.1 15.1 15.5 16.3 !
!
> tapply(SelfTotalNeg, group, sd)!
2.324532 3.457625 4.462487 4.587464
> tapply(TotalNeg,group,mean)!
21.76667 21.70000 21.73333 22.43333 !
!
> tapply(TotalNeg,group,sd)!
2.896887 4.094993 5.930246 6.770541
Curiouser and curiouser:!
Self-rep + Probe-rep (Spontaneous) = idem (Others)
Self-rep (Spontaneous) = Probe-rep (Others)!
Samples matched (on sex, age education), analysis
does not reflect design
(JAb)
•Merckelbach reports Geraerts to Maastricht and to
Rotterdam authorities
•Conclusion: (Maastricht) some carelessness but no
fraud; (Rotterdam) no responsibility
•Merckelbach and McNally request editors of
“Memory” to retract their names from joint paper
•The journalists love it (NRC; van Kolfschooten ...)
Geraerts
Summary statistics
(Memory paper)
Picture is “too good
to be true”
•Parametric analysis of Memory tables confirms, esp. on
combining results from 3×2 analyses (Fisher comb.)
•For the JAb paper I received the data from van Kolfschooten
•Parametric analysis gives same result again (4×2)
•Distribution-free (permutation) analysis confirms!
(though: permutation p-value only 0.01 vs normality
+independence 0.0002)
> results!
           [,1]       [,2]!
[1,] 0.13599556 0.37733885!
[2,] 0.01409201 0.25327297!
[3,] 0.15298798 0.08453114
> sum(-log(results))!
[1] 12.95321!
> pgamma(sum(-log(results)),!
6, lower.tail = FALSE)!
[1] 0.01106587
> results!
            [,1]       [,2]!
[1,] 0.013627082 0.30996011!
[2,] 0.083930301 0.24361439!
[3,] 0.004041421 0.05290153!
[4,] 0.057129222 0.31695753!
> pgamma(sum(-log(results)), 8, lower.tail=FALSE)   !
[1] 0.0002238678
•Scientific = Reproducible: Data preparation and
data analysis are integral parts of experiment
•Keeping proper log-books of all steps of data
preparation, manipulation, selection/exclusion of
cases, makes the experiment reproducible
•Sharing statistical analyses over several authors is
almost necessary in order to prevent errors
•These cases couldn’t have occurred if all this had
been standard practice
The morals of the story (1)
•Data collection protocol should be written down in
advance in detail and followed carefully
•Exploratory analyses, pilot studies … also science
•Replicating others’ experiments: also science
•It's easy to make mistakes doing statistical analyses:
the statistician needs a co-pilot
•Senior co-authors co-responsible for good scientific
practices of young scientists in their group
•These cases couldn’t have occurred if all this had
been standard practice
The morals of the story (2)
http://www.erasmusmagazine.nl/nieuws/detail/article/6265-geraerts-trekt-memory-artikel-terug/
Obtaining the data “for peer review”: send request to secretariaatpsychologie@fsw.eur.nl
Memory affair
postscript
•Geraerts is forbidden to talk to Gill
•Erasmus University Psychology Institute asks
Han van der Maas (UvA) to investigate “too good
to be true” pattern in “Memory” paper
•Nonparametric analysis confirms my findings
•Recommendations: 1) the paper is retracted o;
2) report is made public o; 3) data-set idem o
P
~
Together, mega-opportunities for Questionable Research
Practice number 7: deciding whether or not to exclude
data after looking at the impact of doing so on the results
(Estimated prevalence near 100%, estimated acceptability rating near 100%)
•No proof of fraud (fraud = intentional deception)
•Definite evidence of errors in data management
•Un-documented, unreproducible reduction from 
42 + 39 + 47 + 33 subjects to 30 + 30 + 30 + 30
Main findings
E. Geraerts, H. Merckelbach, M. Jelicic, E. Smeets (2006),
Long term consequences of suppression of intrusive anxious thoughts and repressive coping,
Behaviour Research and Therapy 44, 1451–1460
•A balanced design looks more scientific but is
an open invitation to QRP 7
•Identical “too good to be true” pattern is
apparent in an earlier published paper; the data
has been lost
Remarks
•I finally got the data from Geraerts
(extraordinary confidentiality agreement)
•But you can read it off the pdf pictures in the report!
•So let’s take a look…
The latest developments
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05101520
Suppression Negative
Subject No.
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•I cannot identify Maastricht subset in this data
•The JAb paper does not exhibit any of these
anomalies!
•All data of the third paper with same “too good
to be true” is lost
•A number of psychologists also saw “too good
to be true” w.r.t. content (not statistics)
The latest developments
•Spot the difference between the following two slides
The next case?
Exhibit A
Exhibit B
•Exhibit A is based on several studies in one paper
•Exhibit B is based on similar studies published in
several papers of other authors
•More papers of author of Exhibit A exhibit same pattern
•His/her graphical displays are bar charts, ordered
Treatment 1 (High) : Treatment 2 (Low) : Control
•Displays here based on the ordering
Low : Medium (control) : High
Notes
•IMHO, “scientific anomalies” should in the first place be discussed
openly in the scientific community; not investigated by disciplinary
bodies (CWI, LOWI, …)
•Data should be published and shared openly, as much as possible
•Never forget Hanlon’s razor
!
•I never met a science journalist who knew the “1 over root n” law
•I never met a psychologist who knew the “1 over root n” law
•Corollary: statisticians must participate in social debate,
must work with the media
Remarks
•How/why could faked data exhibit this latest
“too good to be true” pattern?
•Develop model-free statistical test for “excess linearity”
[no replicate groups, so no permutation test]
!
•How could Geraerts’ data ever get the way it is?
In three different papers, different anomalies, same overall
“too good to be true” pattern?
!
•What do you consider could be the moral of this story?
Exercises

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Worst practices in statistical data anaylsis

  • 1. Best Practices in Statistical Data Analysis Willem Heiser farewell symposium 30 January 2014 Richard Gill http://www.math.leidenuniv.nl/~gill FlashReport The effect of color (red versus blue) on assimilation versus contrast in prime-to-behavior effects Dirk Smeesters a, ⁎, Jia (Elke) Liu b a Erasmus University, Rotterdam, The Netherlands b University of Groningen, Groningen, The Netherlands a b s t r a c ta r t i c l e i n f o Article history: Received 6 December 2010 Revised 9 February 2011 Available online 19 February 2011 Keywords: Color Priming Similarity focus Assimilation Contrast This paper examines whether color can modify the way that primed constructs affect behavior. Specifically, we tested the hypothesis that, compared to the color white, blue is more likely to lead to assimilative shifts in behavior, whereas red is more likely to lead to contrastive changes in behavior. In our experiment, previous findings were replicated in the white color condition: participants’ behavior assimilated to primed stereotypes of (un)intelligence and contrasted away from primed exemplars of (un)intelligence. However, in the blue color condition, participants’ behavior assimilated to the primed constructs, whereas in the red color condition, participants’ behavior contrasted away from the primed constructs, irrespective of whether the primed constructs were stereotypes or exemplars. © 2011 Elsevier Inc. All rights reserved. Colors are omnipresent in our surroundings (people, objects, environments). Although there has been a vast amount of research on color in physics, physiology, and human perception, there is surprisingly little work on the effect of color on human behavior (Fehrman & Fehrman, 2004; Whitfield & Wiltshire, 1990). Recently, Elliot, Maier, Moller, Friedman, and Meinhardt (2007) (see also Elliot & Maier, 2007) proposed that colors are not just aesthetic elements but carry psychological meanings. Individuals form specific associa- tions to colors due to repeated encounters of situations in which colors are accompanied with particular concepts or experiences. Red is typically associated with danger (e.g., stop lights, warnings), whereas blue is linked with openness (e.g., ocean, sky). Consequently, exposure to red in an achievement context can evoke avoidance behavior (Elliot, Maier, Binser, Friedman, & Pekrun, 2009) and impair intellectual performance (Elliot et al., 2007; Maier, Elliot, & Lichten- feld, 2008) because red is associated with the danger of failure in achievement contexts (i.e., red pens to indicate errors). Further, Mehta and Zhu (2009) found that whereas red enhances performance on a detail-oriented task, blue facilitates creative thinking. In the present paper, we test the novel hypothesis that the colors red and blue can modify the nonconscious influence of primed constructs on behavior. It is well established that primed social constructs influence behavior in an assimilative (e.g., when primed with a stereotype) or contrastive manner (e.g., when primed with an extreme person exemplar). Specifically, we examine whether red can lead to behavioral contrast, due to a dissimilarity focus, whereas blue can lead to behavioral assimilation, due to a similarity focus, irrespective of whether a stereotype or exemplar is primed. Color and prime-to-behavior effects Red and blue colors can induce different motivations in individuals (Mehta & Zhu, 2009). Red, associated with danger and mistakes, induces an avoidance motivation and makes people become vigilant (Friedman & Förster, 2005). As a result, exposure to red (versus blue) narrows the scope of attention, enhancing among others performance on detailed-oriented tasks (Mehta & Zhu, 2009). On the other hand, blue, associated with openness, induces an approach motivation. Consequently, exposure to blue broadens the scope of attention, causing people to behave in an explorative way (Mehta & Zhu, 2009). Thus, red and blue tune the scope of attention differentially, with blue [red] leading to attentional broadening [narrowing] (Friedman & Förster, 2010). Consistent with this notion, Maier et al. (2008) showed that participants exposed to red focused on the detailed local feature (triangle) of a target figure (a square composed of symmetrically arranged triangles) and ignored the broad global form (square). People's scope of attention, narrow or broad, further shifts their (dis) similarity focus (Förster, 2009). This is because attentional broaden- ing (global focus) enhances inclusive categorization and involves finding relations and similarities between stimuli, whereas attention- al narrowing (local focus) fosters exclusive categorization and entails searching for dissimilarities to distinguish between stimuli (Förster, Liberman, & Kuschel, 2008). To demonstrate the link between attentional broadening [narrowing] and similarity [dissimilarity] focus, Förster (2009) found that people who narrowly focused on the details of a map generated more differences (but fewer Journal of Experimental Social Psychology 47 (2011) 653–656 ⁎ Corresponding author. E-mail address: DSmeesters@rsm.nl (D. Smeesters). 0022-1031/$ – see front matter © 2011 Elsevier Inc. All rights reserved. doi:10.1016/j.jesp.2011.02.010 Contents lists available at ScienceDirect Journal of Experimental Social Psychology journal homepage: www.elsevier.com/locate/jesp R ETR A C TED Linking thought suppression and recovered memories of childhood sexual abuse Elke Geraerts Maastricht University, the Netherlands, and Harvard University, Cambridge, MA, USA Richard J. McNally Harvard University, Cambridge, MA, USA Marko Jelicic, Harald Merckelbach, and Linsey Raymaekers Maastricht University, the Netherlands There are two types of recovered memories: those that gradually return in recovered memory therapy and those that are spontaneously recovered outside the context of therapy. In the current study, we employed a thought suppression paradigm, with autobiographical experiences as target thoughts, to test whether individuals reporting spontaneously recovered memories of childhood sexual abuse (CSA) are more adept at suppressing positive and anxious autobiographical thoughts, relative to individuals reporting CSA memories recovered in therapy, relative to individuals with continuous abuse memories, and relative to controls reporting no history of abuse. Results showed that people reporting spontaneously recovered memories are superior in suppressing anxious autobiographical thoughts, both in the short term and long term (7 days). Our findings may partly explain why people with spontaneous CSA memories have the subjective impression that they have ‘‘repressed’’ their CSA memories for many years. How people remember*or forget*extremely distressing experiences has been among the most contentious debates in the history of psychology and psychiatry (e.g., Loftus, 1997; McNally, 2003; Schacter, 1995). Especially prominent has been the controversy concerning the authenticity of repressed and recovered memories of childhood sexual abuse (CSA). As Clancy and McNally (2005/2006) have pointed out, many authors on both sides of this controversy presuppose that CSA counts as a traumatic stressor*an overwhel- mingly terrifying event that almost by defini- tion would be encoded extremely well. Yet empirical studies show that memories of traumatic experiences are usually extremely difficult to forget (Alexander, Quas, Goodman, Ghetti, & Edelstein, 2005; McNally, 2003). Accordingly, some researchers have argued that at least some instances of presumably repressed CSA involve false memories (e.g., Loftus, 2003). On the other hand, many clinicians have assumed that in cases of recovered CSA memories, special dissociative mechanisms have been operative, preventing these traumatic memories from emerging into conscious awareness (e.g., Spiegel, 1997, p. 6). However, a radically different scenario would Address correspondence to: Elke Geraerts, Department of Psychology, Harvard University, 1232 William James Hall, 33 Kirkland Street, Cambridge, Massachusetts 02138, United States. E-mail: E.Geraerts@Psychology.Unimaas.NL We would like to thank Dr. Amanda Barnier for serving as editor on this paper. The writing of this paper was supported in part by a grant from the Netherlands Organization for Scientific Research (016.075.144) awarded to Elke Geraerts. # 2007 Psychology Press, an imprint of the Taylor & Francis Group, an Informa business MEMORY, 2008, 16 (1), 22Á28 http://www.psypress.com/memory DOI:10.1080/09658210701390628 Retracted Downloadedby[UniversiteitLeiden/LUMC]at04:1730January2014 Worst Practices in Statistical Data Analysis
  • 2. •Flashback: one year ago in Tilburg •Meeting of the social science section of the Dutch statistical society: Statistiek uit de bocht (Statistics round the bend) Ideas stolen from Marcel van Assen, Jelte Wicherts, Frank van Kolfschooten, Han van der Maas, Howard Wainer … A talk within a talk & some reflections on scientific integrity
  • 3. … or … ? Integrity or fraud …
 or just
 questionable research practices? Richard Gill Original talk December 2012; updated July 2013 http://www.math.leidenuniv.nl/~gill
  • 4. Smeesters: closed Geraerts: open, controversial •Smeesters affair •Geraerts affair
  • 5. •August 2011: a friend draws attention of Uri Simonsohn (Wharton School, Univ. Penn.) to “The effect of color ... ” by D. Smeesters and J. Liu Smeesters
  • 6. Hint: text mentions a number of within group SD’s; group sizes ≈ 14 •Simonsohn does preliminary statistical analysis indicating results are “too good to be true”
  • 7. 3×2×2 design, ≈14 subjects per group •Outcome: # correct answers in 20 item multiple choice general knowledge quiz ! •Three treatments: •Colour: red, white, blue •Stereotype or exemplar •Intelligent or unintelligent
  • 8. Unintelligent Intelligent Exemplar Kate Moss Albert Einstein Stereotype A supermodel A professor
  • 9. •Red makes one see differences •Blue makes one see similarities •White is neutral ! •Seeing an intelligent person makes you feel intelligent if you are in a “blue” mood •Seeing an intelligent person makes you feel dumb if you are in a “red” mood ! •Effect depends on whether you see exemplar or stereotype Priming
  • 10. •The theory predicts something very like the picture (an important three way interaction!)
  • 11. •August 2011: a friend draws attention of Uri Simonsohn (Wharton School, Univ. Penn.) to “The effect of color” by D. Smeesters and J. Liu. •Simonsohn does preliminary statistical analysis indicating “too good to be true” •September 2011: Simonsohn corresponds with Smeesters, obtains data, distribution-free analysis confirms earlier findings •Simonsohn discovers same anomalies in more papers by Smeesters, more anomalies •Smeesters’ hard disk crashes, all original data sets lost. None of his coauthors have copies. All original sources (paper documents) lost when moving office •Smeesters and Simonsohn report to authorities •June 2012: Erasmus CWI report published, Smeesters resigns, denies fraud, admits data-massage “which everyone does”
  • 12. •Erasmus report is censored, authors refuse to answer questions, Smeesters and Liu data is unobtainable, identity Simonsohn unknown •Some months later: identity Simonsohn revealed, uncensored version of report published •November 2012: Uri Simonsohn posts “Just Post it: The Lesson from Two Cases of Fabricated Data Detected by Statistics Alone” ! •December 2012: original data still unavailable, questions to Erasmus CWI still unanswered March 2013: Simonsohn paper published, data posted http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2114571 Two cases? Smeesters, Sanna; third case, inconclusive (original data not available) What did Simonsohn actually do?
  • 13. •Theory predicts that the 12 experimental groups can be split into two sets of 6 •Within each set, groups should be quite similar •Smeesters & Liu report some of the group averages and some of the group SD’s •Theory: variance of group average = within group variance divided by group size! •The differences between group averages are too small compared to the within group variances!
  • 14. (*) Fisher: use left tail-probability of F- test for testing too good to be true •Simonsohn proposes ad-hoc(*) test-statistic (comparing between group to within group variance), null distribution evaluated using parametric bootstrap •When original data is made available, can repeat with non-parametric bootstrap •Alternative: permutation tests •Note: to do this, he pools each set of six groups. “Assumption” that there is no difference between the groups within each of the two sets of six groups is conservative
  • 15. sigma <- 2.9! pattern <- c(rep(c(1, 0), 3), rep(c(0, 1), 3))! means <- pattern! means[pattern == 1] <- 11.75! means[pattern == 0] <- 9.5! set.seed(2013)! par(mfrow = c(3,4), bty = "n", xaxt = "n", yaxt = "n")! for (i in 1:12) { averages <- rnorm(12, mean = means, sd = sigma/sqrt(14))! dim(averages)<- c(2, 6)! averages <- rbind(averages-6, 0)! plot(c(0, 20), c(0, 7), xlab = "", ylab = "", type = "n")! abline(h = 0:6)! barplot(as.vector(averages), col = rep(c("black", "white", "white"), n = 6),! add = TRUE)! } A picture tells 1000 words
  • 16. Spot the odd one out!
  • 17. Spot the odd one out!
  • 19. •Simonsohn’s test-statistic is actually equivalent to standard ANOVA F-test of hypothesis “each of two groups of six conditions have the same mean” – except that we want to reject if the statistic is too small Further analyses
  • 20. > result.anova! Analysis of Variance Table! ! Model 1: score ~ (colour + prime + dimension)^2! Model 2: score ~ colour * prime * dimension! Res.Df RSS Df Sum of Sq F Pr(>F) ! 1 159 1350.8 ! 2 157 1299.6 2 51.155 3.0898 0.04829 * Test of 3-way interaction Smeesters and Liu (OK, except d.f.) RDG data <- data.frame(score = scores, colour = colour, prime = prime, ! dimension=dimension, pattern=pattern.long)! ! result.aov.full <- aov(score~colour*prime*dimension, data = data)! result.aov.null <- aov(score~(colour+prime+dimension)^2, data = data)! result.anova <- anova(result.aov.null, result.aov.full)! result.anova! ! result.aov.zero <- aov(score ~ pattern, data=data)! result.anova.zero <- anova(result.aov.zero, result.aov.full)! ! result.anova.zero$F[2]! pf(result.anova.zero$F[2], df1=10, df2=156)
  • 21. Test of too good to be true data <- data.frame(score = scores, colour = colour, prime = prime, ! dimension=dimension, pattern=pattern.long)! ! result.aov.full <- aov(score~colour*prime*dimension, data = data)! result.aov.null <- aov(score~(colour+prime+dimension)^2, data = data)! result.anova <- anova(result.aov.null, result.aov.full)! result.anova! ! result.aov.zero <- aov(score ~ pattern, data=data)! result.anova.zero <- anova(result.aov.zero, result.aov.full)! ! result.anova.zero$F[2]! pf(result.anova.zero$F[2], df1=10, df2=156) > result.anova.zero$F[2]! [1] 0.0941672! > pf(result.anova.zero$F[2], df1=10, df2=156)! [1] 0.0001445605
  • 22. •Scores (integers) appear too uniform ! ! ! ! •Permutation test: p-value = 0.00002 Further analyses
  • 24. Paper 2: “JAb (submitted)”
  • 25. Geraerts •Senior author Merckelbach becomes suspicious of data reported in papers 1 and 2 •He can’t find “Maastricht data” among Geraerts combined “Maastricht + Harvard” data set for paper 2 (JAb: Journal of Abnormal Psychology)
  • 26. Too good to be true? (JAb) > tapply(ProbeTotalNeg, group, mean)! 14.666667 6.600000 6.233333 6.133333 ! > tapply(ProbeTotalNeg, group, sd)! 2.564120 3.864962 3.287210 3.598212 ! ! ! > tapply(SelfTotalNeg, group, mean)! 7.1 15.1 15.5 16.3 ! ! > tapply(SelfTotalNeg, group, sd)! 2.324532 3.457625 4.462487 4.587464 > tapply(TotalNeg,group,mean)! 21.76667 21.70000 21.73333 22.43333 ! ! > tapply(TotalNeg,group,sd)! 2.896887 4.094993 5.930246 6.770541
  • 27. Curiouser and curiouser:! Self-rep + Probe-rep (Spontaneous) = idem (Others) Self-rep (Spontaneous) = Probe-rep (Others)! Samples matched (on sex, age education), analysis does not reflect design (JAb)
  • 28. •Merckelbach reports Geraerts to Maastricht and to Rotterdam authorities •Conclusion: (Maastricht) some carelessness but no fraud; (Rotterdam) no responsibility •Merckelbach and McNally request editors of “Memory” to retract their names from joint paper •The journalists love it (NRC; van Kolfschooten ...) Geraerts
  • 30. Picture is “too good to be true” •Parametric analysis of Memory tables confirms, esp. on combining results from 3×2 analyses (Fisher comb.) •For the JAb paper I received the data from van Kolfschooten •Parametric analysis gives same result again (4×2) •Distribution-free (permutation) analysis confirms! (though: permutation p-value only 0.01 vs normality +independence 0.0002) > results!            [,1]       [,2]! [1,] 0.13599556 0.37733885! [2,] 0.01409201 0.25327297! [3,] 0.15298798 0.08453114 > sum(-log(results))! [1] 12.95321! > pgamma(sum(-log(results)),! 6, lower.tail = FALSE)! [1] 0.01106587 > results!             [,1]       [,2]! [1,] 0.013627082 0.30996011! [2,] 0.083930301 0.24361439! [3,] 0.004041421 0.05290153! [4,] 0.057129222 0.31695753! > pgamma(sum(-log(results)), 8, lower.tail=FALSE)   ! [1] 0.0002238678
  • 31. •Scientific = Reproducible: Data preparation and data analysis are integral parts of experiment •Keeping proper log-books of all steps of data preparation, manipulation, selection/exclusion of cases, makes the experiment reproducible •Sharing statistical analyses over several authors is almost necessary in order to prevent errors •These cases couldn’t have occurred if all this had been standard practice The morals of the story (1)
  • 32. •Data collection protocol should be written down in advance in detail and followed carefully •Exploratory analyses, pilot studies … also science •Replicating others’ experiments: also science •It's easy to make mistakes doing statistical analyses: the statistician needs a co-pilot •Senior co-authors co-responsible for good scientific practices of young scientists in their group •These cases couldn’t have occurred if all this had been standard practice The morals of the story (2)
  • 33. http://www.erasmusmagazine.nl/nieuws/detail/article/6265-geraerts-trekt-memory-artikel-terug/ Obtaining the data “for peer review”: send request to secretariaatpsychologie@fsw.eur.nl Memory affair postscript •Geraerts is forbidden to talk to Gill •Erasmus University Psychology Institute asks Han van der Maas (UvA) to investigate “too good to be true” pattern in “Memory” paper •Nonparametric analysis confirms my findings •Recommendations: 1) the paper is retracted o; 2) report is made public o; 3) data-set idem o P ~
  • 34. Together, mega-opportunities for Questionable Research Practice number 7: deciding whether or not to exclude data after looking at the impact of doing so on the results (Estimated prevalence near 100%, estimated acceptability rating near 100%) •No proof of fraud (fraud = intentional deception) •Definite evidence of errors in data management •Un-documented, unreproducible reduction from  42 + 39 + 47 + 33 subjects to 30 + 30 + 30 + 30 Main findings
  • 35. E. Geraerts, H. Merckelbach, M. Jelicic, E. Smeets (2006), Long term consequences of suppression of intrusive anxious thoughts and repressive coping, Behaviour Research and Therapy 44, 1451–1460 •A balanced design looks more scientific but is an open invitation to QRP 7 •Identical “too good to be true” pattern is apparent in an earlier published paper; the data has been lost Remarks
  • 36. •I finally got the data from Geraerts (extraordinary confidentiality agreement) •But you can read it off the pdf pictures in the report! •So let’s take a look… The latest developments
  • 37. ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● 0 20 40 60 80 100 120 05101520 Suppression Negative Subject No. ● control continuous spontaneous therapy ●● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0 20 40 60 80 100 120 05101520 Suppression Positive Subject No. ● control continuous spontaneous therapy ●● ● ● ● ●●● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● 0 20 40 60 80 100 120 010203040 Expression Negative Subject No. ● control continuous spontaneous therapy ● ●● ● ● ●●● ● ●●● ● ● ● ●● ● ● ● ● ● ●●●●● ● ●● 0 20 40 60 80 100 120 010203040 Expression Positive Subject No. ● control continuous spontaneous therapy
  • 38. ●● ● ●●●●●●●● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ●● ● ● 0 20 40 60 80 100 120 −20−1001020 Rebound Negative Subject No. ● control continuous spontaneous therapy ● ● ● ● ● ● ●● ● ● ●● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0 20 40 60 80 100 120 −20−1001020 Rebound Positive Subject No. ● control continuous spontaneous therapy ●● ● ● ● ● ● ● ●● ●● ● ● ● ●● ● ● ●● ● ● ● ●● ● ● ● ● 0 20 40 60 80 100 120 02468 Intrusions Negative Subject No. ● control continuous spontaneous therapy ●● ● ● ● ●●●● ● ● ● ● ● ●●● ● ● ● ●● ● ● ● ● ● ● ● ● 0 20 40 60 80 100 120 02468 Intrusions Positive Subject No. ● control continuous spontaneous therapy
  • 39. ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0 20 40 60 80 100 120 −20−10010 Suppression, Neg − Pos Subject No. ● control continuous spontaneous therapy ● ● ● ● ●●●●● ● ●●●●● ● ● ● ● ● ● ● ● ● ● ● ● ●●● 0 20 40 60 80 100 120 −20−10010 Expression, Neg − Pos Subject No. ● control continuous spontaneous therapy ●● ● ● ● ● ● ● ● ● ● ●● ● ● ●● ● ● ● ● ●● ● ● ●●● ●● 0 20 40 60 80 100 120 −4−20246 Diary, Neg − Pos Subject No. ● control continuous spontaneous therapy
  • 40. •I cannot identify Maastricht subset in this data •The JAb paper does not exhibit any of these anomalies! •All data of the third paper with same “too good to be true” is lost •A number of psychologists also saw “too good to be true” w.r.t. content (not statistics) The latest developments
  • 41. •Spot the difference between the following two slides The next case?
  • 44. •Exhibit A is based on several studies in one paper •Exhibit B is based on similar studies published in several papers of other authors •More papers of author of Exhibit A exhibit same pattern •His/her graphical displays are bar charts, ordered Treatment 1 (High) : Treatment 2 (Low) : Control •Displays here based on the ordering Low : Medium (control) : High Notes
  • 45. •IMHO, “scientific anomalies” should in the first place be discussed openly in the scientific community; not investigated by disciplinary bodies (CWI, LOWI, …) •Data should be published and shared openly, as much as possible •Never forget Hanlon’s razor ! •I never met a science journalist who knew the “1 over root n” law •I never met a psychologist who knew the “1 over root n” law •Corollary: statisticians must participate in social debate, must work with the media Remarks
  • 46. •How/why could faked data exhibit this latest “too good to be true” pattern? •Develop model-free statistical test for “excess linearity” [no replicate groups, so no permutation test] ! •How could Geraerts’ data ever get the way it is? In three different papers, different anomalies, same overall “too good to be true” pattern? ! •What do you consider could be the moral of this story? Exercises