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http://wagerlab.colorado.edu Neuroimaging meta-analysis: Pitfalls and emerging solutions Tor D. Wager Department of Psychology and Neuroscience and The Institute for Cognitive Science The University of Colorado, Boulder

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PowerPoint PresentationTor D. Wager
Department of Psychology and Neuroscience and The Institute for Cognitive Science
The University of Colorado, Boulder
http://wagerlab.colorado.edu
PET FMRI
http://wagerlab.colorado.edu
Wager, Lindquist, & Hernandez, 2007
http://wagerlab.colorado.edu
Consistency
• Sensitivity
• Borrowing strength from prior studies to both increase effect sizes and provide unbiased measures of them
• Specificity
across a variety of candidate psychological conditions
http://wagerlab.colorado.edu
http://wagerlab.colorado.edu
Pitfalls New Tools Inference Why meta- analysis?
1. Why meta-analysis: The promise 2. What do you want to know? Making the right inference 3. Pitfalls and solutions: Inferences on consistent activation 4. Expanding the toolbox: New kinds of inferences 5. The Limits of Meta-Analysis: The proof is in the pudding
Pudding
http://wagerlab.colorado.edu
Inference
• Most common type of inference: Activation consistency
• Is there consistent activation across studies during Task x? • Are there any overlapping brain regions activated by Tasks x and y? • Are there significant differences in activation consistency for Tasks x vs. y?
• What would you like to conclude from your meta-analysis?
http://wagerlab.colorado.edu
SCANLab
Working memory Executive WM Long-term memory
Inhibition Task switching
Wager et al., in press; Van Snellenberg & Wager, 2010
http://wagerlab.colorado.edu
• Most common type of inference: Activation consistency
• This type of inference does not tell us many things we want to know!
• What would you like to conclude from your meta-analysis?
• Other types of inference
• Spatial inference: - Where is the epicenter of activation for Task x? - Do tasks Tasks x and y activate the same locations or spatial patterns?
- This is DIFFERENT from above!! -
• Decoding/’reverse inference’: • What psychological process is implied by activation in region/pattern
A?
http://wagerlab.colorado.edu
Pitfalls New Tools Inference Why meta- analysis?
1. Why meta-analysis: The promise 2. What do you want to know? Making the right inference 3. Pitfalls and solutions: Inferences on consistent activation 4. Expanding the toolbox: New kinds of inferences 5. The Limits of Meta-Analysis: The proof is in the pudding
Pudding
http://wagerlab.colorado.edu
Pitfall #1: Failure to assess generalization across studies
Desired inference: • Is there consistent activation across studies during Task x?
Problems: • We typically analyze peak coordinates • Grouping peaks together only allow us to make inferences about new peaks • Studies report different numbers of peaks, some more, some fewer • Results can be dominated by one/a few studies!
http://wagerlab.colorado.edu
Peak coordinates Combined across studies
Kernel convolution Density kernel
Apply significance threshold
Significant results
Density kernel: Chein, 1998; Phan et al., 2002; Wager et al., 2007; Lindquist et al. 2012 Gaussian density kernel + ALE: Turkeltaub et al., 2002; Laird et al., 2005; others
Ignores the fact that some studies report more peaks than others!
http://wagerlab.colorado.edu
- Spherical convolution: Interpretable metric (contrast counts) - Weighting by sample size - Weighting by fixed/random effects (and other quality metrics)
Wager, Lindquist, & Kaplan 2007; Eickhoff et al. 2010
http://wagerlab.colorado.edu
Pitfall #2: Improper accounting for biases
Desired inference: • Is there consistent activation across studies during Task x?
Problems: • Studies vary dramatically in sample sizes • Some procedures are more valid than others (e.g., fixed vs. random effects) • Some studies simply report more peaks (software differences; this is arbitrary!!)
Solutions? • No correction is inefficient (low power) – want large studies to dominate • Weighting by square root of sample size is good – proportional to standard
error • Weighting by random vs. fixed effects is good (random = more weight, but no
theoretically optimal weight) • Weighting by Z-scores is probably a bad idea.
http://wagerlab.colorado.edu
Pitfall #2: Improper accounting for biases
Desired inference: • Is there consistent activation across studies during Task x?
Modified Galbraith plots: Activation in likely ‘true positive’ regions (working memory)
Wager et al. 2009, Neuroimage
• Z-scores are (much) higher for fixed effects!
• Very weak relationship between sample size and Z-score, esp. for random effects studies
• Small studies have HIGHER variance, which means MORE VARIANCE in Z- scores across the brain, which means MORE PEAKS overall and higher Z- scores in false positive regions!
• Weighting by Z-score or number of peaks is probably a bad idea.
http://wagerlab.colorado.edu
Meta-analysis 2.0: Inference across studies Multilevel kernel density analysis
- Spherical convolution: Interpretable metric (contrast counts) - Weighting by sample size - Weighting by fixed/random effects (and possibly other quality metrics)
- If we permute peaks within studies, those that report many coordinates will dominate
- Loss of efficiency, small-sample-size studies dominate - So: We do ‘blob’-level permutation
Wager, Lindquist, & Kaplan 2007; Eickhoff et al. 2010
http://wagerlab.colorado.edu
Pitfall # 3: Erroneous spatial inference
- Where is the epicenter of activation for Task x? - Do tasks Tasks x and y activate the same locations or
spatial patterns?
• How much overlap is enough?
• We can focus on either the commonalities or the distinctions – not meaningful because there is no formal null hypothesis test here.
• Looking at amount of overlap in thresholded maps will not cut it!!!
Overlapping fMRI activity in 4 types of attention shifting
(N = 40; p < .05 corrected) Wager et al. 2005, CABN
http://wagerlab.colorado.edu
Spatial inference
- Where is the epicenter of activation for Task x? - Do tasks Tasks x and y activate the same locations or
spatial patterns?
• Peak coordinates are distributed in space • Need spatial confidence intervals on where
Spatial confidence regions for approach (green) vs. avoidance (red) in emotion studies Wager et al. 2003, Neuroimage
http://wagerlab.colorado.edu
Spatial inference: Spatial tests
- Where is the epicenter of activation for Task x? - Do tasks Tasks x and y activate the same locations or
spatial patterns?
Two approaches:
1. Spatial MANOVA test/discriminant analysis on coordinates 2. Spatial models, inference on distribution of coordinates
(Always need to consider the right unit of analysis: study-level, not peak level!)
Overlapping fMRI activity
Location switch (blue) Attribute switch (yellow) Rule switch (cyan)
Wager et al. 2004, Neuroimage
Also: 3-D Kolmogorov-Smirnov test Murphy, Nimmo-Smith, & Lawrence ( )
http://wagerlab.colorado.edu
Spatial inference: Spatial models
- Where is the epicenter of activation for Task x? - Do tasks Tasks x and y activate the same locations or
spatial patterns? Kang et al. 2011: Bayesian generative model
• Peaks drawn from ‘activation centers’ for
studies • Activation centers across studies drawn
from ‘population centers’ • Explicit spatial modeling, population
inference
Kang et al. 2011, JASA
http://wagerlab.colorado.edu
http://wagerlab.colorado.edu
• “Reverse inference” • Formal assessment of the probability of a task type T given a set of
activation data (e.g., on/off activation values in a set of voxels) • Can provide estimates of sensitivity and specificity for T given:
• (1) A defined set of tasks for k tasks • (2) Activation data for j voxels, Aj = 1 or 0 • (3) A classification model (e.g., Naïve Bayes; Yarkoni et al., 2011; Bayesian
Spatial Point Process Model (Kang et al. 2011, JASA; 2012)
Reverse Inference
Kross et al. 2011, PNAS N = 40 – 180 studies per task
P(Pain | SII) = 0.87
P(Task = Pain) given (SII Activation = Yes) = 0.87 Positive predictive value of SII activation
http://wagerlab.colorado.edu
http://wagerlab.colorado.edu/tools
Multidimensional scaling Graphs
WIKI: http://wagerlab.colorado.edu/wiki/fmri_tools_documentation Naïve Bayes classifier for meta- analysis: meta_NBC.m in MKDA tools
Neurosynth.org
http://wagerlab.colorado.edu
• 29
http://wagerlab.colorado.edu
• “Reverse inference”: • Requires a classification model (e.g., Naïve Bayes; Yarkoni et al.,
2011; Bayesian Spatial Point Process Model (Kang et al. 2011, JASA; 2012)
• Neurosynth:
• One-way chi-square test comparing P(A) vs. P(not A) given Task k to P(A) vs. P(not A) overall
Activation (A) in this voxel is more likely given Task = k,” “Task is more likely to be k than the average task given A”
• Details: m-estimator to smooth voxels with few activations [esp.]
towards base rate of 0.5 (e.g., Mitchell 1996; Yarkoni et al. 2011) • p(Aj=1|Tk=1) = ( ΣiAijTik + mp )/ ( ΣiTik + m ) • A reflects activation, T reflects the term (e.g., ”person"), j indexes
voxel, k indexes task, and i indexes study.
“reverse inference”
Neurosynth.org Activation coordinates from ~10,000 studies Top hits for this pattern:
Noxious, heat, somatosensory, painful, sensation, stimulation, muscle, temperature
Romantic rejection
Kross et al. 2011, PNAS
Pitfall #4: Not remembering the shortcomings of what we’re doing
http://wagerlab.colorado.edu
Pitfalls New Tools Inference Why meta- analysis?
1. Why meta-analysis: The promise 2. What do you want to know? Making the right inference 3. Pitfalls and solutions: Inferences on consistent activation 4. Expanding the toolbox: New kinds of inferences 5. The Limits of Meta-Analysis: The proof is in the pudding
Pudding
http://wagerlab.colorado.edu
Bayesian Spatial Point Process model: New opportunities
• Model joint likelihood of set of reported peak activations points conditional on emotion category
Three levels in generative model (Kang et al. 2011, JASA): - Level 3: Population centers conditioned on emotion category - Level 2: Study-level activation centers, distributed around population
centers with Gaussian covariance - Level 1: Observed data are peaks within studies, distributed around
study-level centers
Model of study (level 2) and population (level 3)
centers Classification model
The model
- Estimation: - Spatial birth and death function for population centers - Markov Chain Monte Carlo (MCMC) estimation of posterior
distribution
- Classification model: - Based on posterior probability of each emotion label given
Model of study (level 2) and population (level 3)
centers Classification model
• Model joint likelihood of set of reported peak activations points conditional on emotion category
Result: A single, generative model for activation/co- activation in each emotion category
http://wagerlab.colorado.edu
Classification based on brain pattern
Actual
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A rich model: Multiple features
Anger Disgust Fear Happy Sad
• Model can be ‘interrogated’ flexibly • Draw samples from the posterior, examine co-activation and
other properties (e.g., graph theoretic measures)
Marginal intensity functions (maps) are only one aspect…
http://wagerlab.colorado.edu
Motor
Parietal
Cortex Basal ganglia Cerebellum
Emotions are distinguishable based on cortical activity profiles
http://wagerlab.colorado.edu
‘Constellations’ for each emotion type Anger Disgust Fear Happy Sad
Vis
http://wagerlab.colorado.edu
Pitfalls New Tools Inference Why meta- analysis?
1. Why meta-analysis: The promise 2. What do you want to know? Making the right inference 3. Pitfalls and solutions: Inferences on consistent activation 4. Expanding the toolbox: New kinds of inferences 5. The Limits of Meta-Analysis: The proof is in the pudding
Pudding
http://wagerlab.colorado.edu
• Links between mind and brain
• Better a priori models of brain function • Maps that are diagnostic of task type • Better classification/decoding in new studies
• Clinical predictions
Meta-analytic maps
http://wagerlab.colorado.edu
Classification of mental states using brain maps
Group 1 (N = 79): Strong vs. mild pain Group 2 (N = 94): Working memory vs. rest Group 3 (N = 108): Negative vs. neutral pictures
A P N T
Yarkoni et al. 2011
Decoding of individual subjects
• Region or pattern of interest - Replicability - Sensitivity - Specificity
• Pitfalls - Unit of analysis: Improper
generalization - Problematic weighting/input (Z-
• New models: Value of
Neuroimaging: A cumulative science
Neuroimaging: A cumulative science
Meta-analysis has its own pitfalls…
Meta-analysis: Roadmap
Inference: Unasked questions
Meta-analysis v1.0: Does not generalize across studies
Meta-analysis 2.0: Inference across studiesMultilevel kernel density analysis
Pitfall #2: Improper accounting for biases
Pitfall #2: Improper accounting for biases
Meta-analysis 2.0: Inference across studiesMultilevel kernel density analysis
Pitfall # 3: Erroneous spatial inference
Spatial inference
Neurosynth.org
The model
‘Constellations’ of co-activation for each emotion type
‘Constellations’ for each emotion type
Meta-analysis: Roadmap
Classification of mental states using brain maps
Summary: How meta-analysis can be useful
Slide Number 43