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Experimental Design John VanMeter, Ph.D. Center for Functional and Molecular Imaging Georgetown University Medical Center. Development of an fMRI Experiment. Independent and Dependent Variables. Independent variables are the parameters that are controlled by the experimenter
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Experimental Design • John VanMeter, Ph.D. • Center for Functional and Molecular Imaging • Georgetown University Medical Center
Independent and Dependent Variables • Independent variables are the parameters that are controlled by the experimenter • Dependent variables are the data measured by the experiment • One or more independent variables is manipulated in an experiment the effect of which will be measured by the dependent variables • In most fMRI studies the dependent variable is the change in BOLD fMRI signal
Types of Conditions • Two basic types of conditions are used in fMRI: • Experimental condition is the condition or task of interest • Control condition is the task that is subtracted from the experimental condition • Recall that BOLD contrast is non-quantitative
Confounding Factors • Control condition should in general match the experimental condition as much as possible • Confounding factor is any parameter that varies with the independent variable • Selection of a good control condition is important to getting meaningful results
Alcohol Example • Suppose one found that there was a decrease in fMRI activation for a motor task when subjects drank alcohol as opposed to water • Possible conclusion is that alcohol reduces neuronal activity • However, should consider other possibilities such as whether the effect of alcohol caused these subject to perform the motor task at the wrong times or less frequently
Subtraction Method • Basic analysis is based on comparing fMRI signal between two conditions • Assumption is that cognitive process of interest is the only difference between the two conditions Petersen, et al., 1988
Pure Insertion Assumption • Insertion of a single cognitive process does not affect any other processes • Interactions between two cognitive processes would invalidate subtraction analysis • Violation of Pure Insertion would mean results uninterruptible
Example of Failure of Pure Insertion Assumption • Comparison of semantic and letter judgment tasks using three different modalities: mouse, vocal, and covert (silent/mental) • Interaction between modality and task in left inferior prefrontal cortex • Cannot distinguish whether change due to modality or task Jennings, et al., 1997
Analysis and Pure Insertion Assumption • Subtraction analysis assumes pure insertion holds - baseline/control task does not engage any other processes • Example • Subtraction of word naming from verb generation • Word naming does not require semantic processes • What if this control condition automatically engages these processes anyway
Main Design Models • Common Baseline • Parallel Comparisons • Tailored Baselines • Hierarchical • Parametric • Selective Attention • Adaptation
Common Baseline • Comparison of two experimental conditions to same control • Ex A > Ctrl • Ex B > Ctrl • Detects areas common to both conditions • Assumes both experimental conditions have similar psychometric properties (ie, task difficulty, equivalent degree of activation across subjects)
Parallel Comparisons • Compare both experimental tasks to each other (seeing vs hearing words) • Ex A > Ex B • Ex B > Ex A • Compliments Common Baseline • Assumes similar psychometric properties in both A and B
Tailored Baseline • Use different control tasks unique to each experimental condition • Ex A > Ctrl A • Ex B > Ctrl B • Example: • visual display of words vs. false font text • hearing words vs.reverse speech • Assumes each control task equally removes modality specifics • Assumes similar psychometric properties for all conditions - unlikely in most cases • Good idea to include a common baseline
Sensory Motor Semantic Hierarchical Subtraction • Three or more task conditions that progressively include additional factors • Ex A > Rest • Ex B > Ex A • Ex C > Ex B • Example: • Ex A = see words, no response • Ex B = repeat words verbally • Ex C = generate verb associated with word • Pure Insertion must hold at all levels
Parametric • Increasing level of difficulty or intensity of task • Variation along a single dimension • A > A > A > A • Example - working memory load • Useful for determining function in addition to “where” • Assumes Pure Modulation - • Different levels produce quantitative differences in level of engagement • Must be able to define magnitude of differences across levels
Variation of Rate of Extension and Flexion of Wrist Step function – fixed increase in activity irrespective of tapping rate Linear function – linear increase in activity with tapping rate VanMeter, et al., 1995
Differential Response Premotor Primary Motor (M1)
Selective Attention • Present same stimuli in all conditions but instruct subject to attend to different features • A B C • A B C • A B C • Can be done implicitly or explicitly • Assumes cognitive process is modified by what is attended to • Assumes variables of interest are modulated by selective attention • Assumes passive processing of unattended features does not include cognitive processes of attended feature
Selective Attention: Visual Processing • Corbetta, et al. presented squares, circles, and triangles that changed in color and moved • On each trial all three parameters were varied • By instructing subjects to attend to different features able to identify areas that respond uniquely to shape, color, and motion
Selective Visual Attention Results • Directed attention to specific features elicited selective activation in corresponding form, color, motion centers • Attention to motion -> V5/MT • Attention to color -> V2 • Attention to shape -> V1
Adaptation/Repetition Suppression • Repetitive presentation of same stimulus that produces change in level of activity (typically decreased) • Inference is that areas with diminished response are sensitive to stimulus features • Also used to diminish response using one type of stimulus to identify response to a novel stimulus • Pure Modulation Assumption - specific features of stimuli that produce reduction are qualitatively the same
Adaptation Selectivity Invariance for B Stimuli between A & B Stimuli
Adaptation in Visual Cortex Rebound Index = (% signal change per condition) / (% signal change for identical stimuli) Altmann et al., 2003
Main fMRI Designs for Task Presentation • Block Design • Multiple trials of the same condition are presented consecutively • Switch back and forth between blocks of experimental and control conditions • Event Related • Trials are presented separately and in “random” order with respect to experimental and control conditions
Reasons for Using Block or Event Related Designs • Block Designs • Better at detecting differences between conditions (detection) • Some experimental factors take time to occur (e.g. vigilance or sustained attention) • Event Related Designs • Better at detecting differences in HRF (estimation) • Some experimental factors are transient or infrequent events by nature (e.g. oddball or n-back tasks)
Considerations for Block Designs • Alternating between experimental and control conditions has limitations (e.g. noun vs verb reading) • Generally good idea to include null-task blocks - blocks where subjects do “nothing”; fixation on a cross preferred to “nothing” • Consider including a progression of blocks in which additional factors are added
Analysis of Block Designs • Subtraction of two conditions only statistical analysis possible of block designs* • Thus, baseline/ control events equal in importance to experimental condition • Lengths of block types should be equal
Block Length and Frequency • Short block lengths presented close together can limit return to baseline of HRF • Longer blocks maximize difference in signal between conditions • Best to use many blocks to minimize noise aliased at frequency of task presentation • Frequency of task should be relatively high to minimize low frequency noise such as scanner drift
Event Related (ER) Designs • Trials (aka events) are presented briefly in a random order • ISI (interstimulus interval) is the separation between events and is also randomized
Analysis of ER Designs • Average fMRI signal across all of the presentations of the same event type beginning from onset time of the event • Similar to ERP (event-related potential) analysis used in analysis of EEG data
Principles of ER Designs • Boynton (1996) showed that amplitude and timing of hemodynamic response depends on both intensity and duration of stimulus • Dale and Buckner (1997) showed that it was possible to extract hemodynamic response function of two different events presented only 1-2 seconds apart
Overlap - Rapid ER • Difference in degree of activity due to reduced number of events as run length was kept constant
Overlap • Overlap of events possible due to “jitter” • Jitter is the randomization of ISI between events • Without jitter the 1-2 sec ISI will become equivalent to block design
ER Design Advantages • Flexibility in design • Not every experiment can be turned into block design • Flexibility in analysis as same event type can be treated differently • Trial sorting - choosing events to use in an analysis based on some other parameter such as correctness or reaction time
Semirandom Design • Slight reduction in detection power • But major increase in estimation efficiency
Mixed Designs • Uses a block-design presentation • Mix • Analysis is done using trial sorting (e.g. examining only trials with correct response) • Within a block presented more than one event type
Mixed Design Example - Alzheimer’s Disease • Two separate runs performed • Run1 (Encoding) • single words nouns presented • instructed to identify if animate or inanimate • Run2 (Retrieval) • 8 minutes later present nouns; half old half new • instructed to identify old vs new words • Analysis examined words in Run1 based on whether they were correctly remembered in Run2
Mixed Design Example - Alzheimer Study Remembered Trials > Forgotten Trials in the Encoding run VanMeter, et al. in preparation
Activations and Deactivations • Deactivation - decrease in hemodynamic response in task condition relative to control condition
Good Practices for Experimental Design • Simple methods for reducing confounding factors: • Randomization: randomize the order in which conditions presented • Could also be applied to experimenters; don’t have one person run all subjects from one group and a second person run all subjects from the other group • Counterbalancing: switch the order in which conditions are presented across subjects • Study with subjects assigned to one of two groups; try to ensure equal number of men and women in each group in case there are gender effects • Randomize order of runs across subjects; limits practice and order effects