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Issues in Experimental Design. fMRI Graduate Course October 19, 2004. Terminology. Independent vs. Dependent variables Categorical vs. Continuous variables Between- vs. Within-subjects manipulations Experimental vs. Control conditions Confounding factors Randomization, counterbalancing
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Issues in Experimental Design fMRI Graduate Course October 19, 2004
Terminology • Independent vs. Dependent variables • Categorical vs. Continuous variables • Between- vs. Within-subjects manipulations • Experimental vs. Control conditions • Confounding factors • Randomization, counterbalancing • Parametric vs. subtractive designs
What is fMRI Experimental Design? • Controlling the timing and quality of cognitive operations (IVs) to influence resulting brain processes (DVs) • What can we control? • Experimental comparisons (what is to be measured?) • Stimulus properties (what is presented?) • Stimulus timing (when is it presented?) • Subject instructions (what do subjects do with it?)
Goals of Experimental Design • To maximize the ability to test hypotheses • To facilitate generation of new hypotheses
Detection vs. Estimation • Detection: What is active? • Estimation: How does activity change over time?
Detection • Detection power defined by SNR • Depends greatly on hemodynamic response shape SNR = aM/ M = hemodynamic changes (unit) a = measured amplitude = noise standard deviation
Estimation • Ability to determine the shape of fMRI response • Accurate estimation relies on minimization of variance in estimate of HDR at each time point • Efficiency of estimation is generally independent of HDR form
Optimal Experimental Design • Maximizing both Detection and Estimation • Maximal variance in stimulus timing (increases estimation) • Maximal variance in measured signal (increases detection) • Limitations • Refractory effects • Signal saturation
fMRI Design Types • Blocked Designs • Event-Related Designs • Periodic Single Trial • Jittered Single Trial • Staggered or Interleaved Single Trial • Mixed Designs • Combination blocked/event-related • Variable stimulus probability
What are Blocked Designs? • Blocked designs segregate different cognitive processes into distinct time periods Task A Task B Task A Task B Task A Task B Task A Task B Task A REST Task B REST Task A REST Task B REST
PET Designs • Measurements done following injection of radioactive bolus • Uses total activity throughout task interval (~30s) • Blocked designs necessary • Task 1 = Injection 1 • Task 2 = Injection 2
Choosing Length of Blocks • Longer block lengths allow for stability of extended responses • Hemodynamic response saturates following extended stimulation • After about 10s, activation reaches max • Many tasks require extended intervals • Processing may differ throughout the task period • Shorter block lengths allow for more transitions • Task-related variability increases (relative to non-task) with increasing numbers of transitions • Periodic blocks may result in aliasing of other variance in the data • Example: if the person breathes at a regular rate of 1 breath/5sec, and the blocks occur every 10s
What baseline should you choose? • Task A vs. Task B • Example: Squeezing Right Hand vs. Left Hand • Allows you to distinguish differential activation between conditions • Does not allow identification of activity common to both tasks • Can control for uninteresting activity • Task A vs. No-task • Example: Squeezing Right Hand vs. Rest • Shows you activity associated with task • May introduce unwanted results
From Shulman et al., 1997 (PET data) From Binder et al., 1999
From Huettel et al., 2004 (Baseline > Target Detection) From Huettel et al., 2001 (Change Detection)
Non-Task Processing • In many experiments, activation is greater in baseline conditions than in task conditions! • Requires interpretations of significant activation • Suggests the idea of baseline/resting mental processes • Emotional processes • Gathering/evaluation about the world around you • Awareness (of self) • Online monitoring of sensory information • Daydreaming
Power in Blocked Designs • Summation of responses results in large variance Single, unit amplitude HDR, convolved by 1, 2, 4 ,8, 12, or 16 events (1s apart).
Power in Blocked Designs 2. Transitions between blocks Simulation of single run with either 2 or 10 blocks.
Power in Blocked Designs 2. Transitions between blocks Addition of linear drift within run.
Power in Blocked Designs 2. Transitions between blocks Addition of noise (SNR = 0.67)
Deeper concept… We want the changes evoked by the task to be at different parts of the frequency spectrum than non-task-evoked changes.
Limitations of Blocked Designs • Very sensitive to signal drift • Sensitive to head motion, especially when only a few blocks are used. • Poor choice of baseline may preclude meaningful conclusions • Many tasks cannot be conducted repeatedly • Difficult to estimate the HDR
What are Event-Related Designs? • Event-related designs associate brain processes with discrete events, which may occur at any point in the scanning session.
Why use event-related designs? • Some experimental tasks are naturally event-related • Allows studying of trial effects • Improves relation to behavioral factors • Simple analyses • Selective averaging • General linear models
Word-stem completion task. Blocked design: 30s on/off. Event-related design: 15s ISI. Buckner et al., (1996)
2a. Periodic Single Trial Designs • Stimulus events presented infrequently with long interstimulus intervals 500 ms 500 ms 500 ms 500 ms 18 s 18 s 18 s
12sec 8sec 4sec Trial Spacing Effects: Periodic Designs 20sec
ISI: Interstimulus Interval SD: Stimulus Duration From Bandettini and Cox, 2000
2b. Jittered Single Trial Designs • Varying the timing of trials within a run • Varying the timing of events within a trial
Effects of ISI on Power Birn et al, 2002
2c. Staggered Single Trial • By presenting stimuli at different timings, relative to a TR, you can achieve sub-TR resolution • Significant cost in number of trials presented • Resulting loss in experimental power • Very sensitive to scanner drift and other sources of variability • Also called Interleaved Stimulus Presentation
+0s Two of the phases are normal. +1s But, one has a change in one trial (e.g., head motion) +2s