1 - psychophysics

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Psychology

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1
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why measure perception?

  • physical stimuli are “real” and can be measured

  • perception is a private experience

  • some say can measure perception bc may offer clues abt nature of the brain, the way it processes info and ultimately bio processes that lead to sensation + perception

    • in clinical setting, allow for proper diagnostic

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what are methods used to study sensation + perception?

  1. threshold: faintest sound you can hear

  2. scaling - measuring provite experience: rate on scale

  3. signal detector theory - measuring difficult decisions: takes cog processes into consideration

    • e.g., did you see light or was that imagination?

  4. sensory neurosci: how do sensory receptors and nerves underlie our perceptual experience?

  5. neuro imaging: what parts of brain active during crt tasks?

  6. computational models: can we create models of sensory sys that adapt and learn, like humans?

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what is classical psychphysics?

  • pioneered by Gustav Fechner

    • true father of experimental psych

  • psychophysics → study of quantitative relationships bet. physical stimuli and psych experiences

    • mind meets matter

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how can we describe the relationship between mind and matter?

  • relate physical stimuli to perceptual experiences using mathematical models bc useful to compare data

  • func: mathematical description of how one variable is related to another; generally formula

  • exponential: at lower intensities, no change pain sensation but w/ higher intensities you get increased perception pain

  • log: small increases at lower intensities = high sensation

    • high slope at low intensity

<ul><li><p>relate physical stimuli to perceptual experiences using mathematical models bc useful to compare data</p></li><li><p>func: mathematical description of how one variable is related to another; generally formula </p></li><li><p><strong>exponential</strong>: at lower intensities, no change pain sensation but w/ higher intensities you get increased perception pain</p></li><li><p><strong>log</strong>: small increases at lower intensities = high sensation</p><ul><li><p>high slope at low intensity</p></li></ul></li></ul>
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what is absol thresh, subthresh & suprathresh?

  • absol thresh → min stimulus lvl required to be registered by brain as sensory event; where func begins

  • subthresh: below lvl detection

  • suprathresh: above lvl detection

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how can we measure thresholds?

  1. method of adjustment

  2. method of limits

  3. method of constant stimuli

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what is method of adjustment?

  • simplest

  • light shine computer and turn knob until can detect it OR turn it down until can just barely see it

<ul><li><p>simplest</p></li><li><p>light shine computer and turn knob until can detect it OR turn it down until can just barely see it </p></li></ul>
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what is method of limits?

  • series stimuli

  • start w/ subthresh and increase intensity OR w/ suprathresh n decrease intensities

  • avg of thresh = absol

<ul><li><p>series stimuli</p></li><li><p>start w/ subthresh and increase intensity OR w/ suprathresh n decrease intensities</p></li><li><p>avg of thresh = absol</p></li></ul>
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what is method of constant stimuli?

  • random order

  • more accurate bc no bias in expectation

<ul><li><p>random order</p></li><li><p>more accurate bc no bias in expectation</p></li></ul>
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why do we need to repeat measures over and over when measuring thresholds?

  • variability in NS + computer screen, not same thresh each time

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what type of data does a psychophysics experiment generate?

  • ideal detector:

    • always sense suprathresh stimuli

      • NOT TYPICAL

  • psychometric func: uncertainty arund stimulus intensities near abs. thresh

  • select a 50% response lvl as abs. thresh bc bio, cog + physical variability

  • normally, S-shaped funcs → ogive

<ul><li><p>ideal detector:</p><ul><li><p>always sense suprathresh stimuli </p><ul><li><p>NOT TYPICAL</p></li></ul></li></ul></li><li><p><strong>psychometric func</strong>: uncertainty arund stimulus intensities near abs. thresh </p></li><li><p>select a 50% response lvl as abs. thresh bc bio, cog + physical variability </p></li><li><p>normally, S-shaped funcs → ogive</p></li></ul>
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what determines the shape of the psychometric func?

  • absol thresh. only gives starting pnt

  • for rest of func, need to have idea of:

    1. what slope at suprathrsh lvl and

    2. how slope changes w/ increasing intensities

  • difference thresh (or just noticeable difference, JND), ΔI (Ernst Weber): how does stimulus need to change in order to produce a detectable change in perception?

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how to find diff thresh?

experiment: present subject w/ 2 stimulis and ask which is heavier (i.e., greater stimulus “intensity“) → repeat

  • one is standard and other is target

  • calc % of times subj said target heavier than standard

  • 2 alternatives → forced choice

  • when said target is heavier 50% of the time → same so expect say light ½ time and heavier ½ time = perceptual equivalence pnt

  • until get to 75% of the time target called heavier

    • target weight - standard weight = JND

if change the weight of standard → need a larger change in weight to detect a change at all when stimulus intensity is increased

<p>experiment: present subject w/ 2 stimulis and ask which is heavier (i.e., greater stimulus “intensity“) → repeat </p><ul><li><p>one is standard and other is target</p></li><li><p>calc % of times subj said target heavier than standard</p></li><li><p>2 alternatives → forced choice</p></li><li><p>when said target is heavier 50% of the time → same so expect say light ½ time and heavier ½ time = perceptual equivalence pnt </p></li><li><p>until get to 75% of the time target called heavier </p><ul><li><p>target weight - standard weight = JND</p></li></ul></li></ul><p>if change the weight of standard → need a larger change in weight to detect a change at all when stimulus intensity is increased</p>
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describing Weber’s observations mathematically

  • Weber’s law: ΔI = K’

  • ΔI is a const. proportion (k) of stimulus intensity (I)

  • Weber’s fraction, k, must be experimentally determined

  • in graph → notice w/ increasing standard light intensity func get flatter

    • there is also increase in thresh w/ intensity (need a lil light to notice diff at low intensities)

<ul><li><p>Weber’s law: ΔI = K’</p></li><li><p>ΔI is a const. proportion (k) of stimulus intensity (I)</p></li><li><p>Weber’s fraction, k, must be experimentally determined</p></li><li><p>in graph → notice w/ increasing standard light intensity func get flatter</p><ul><li><p>there is also increase in thresh w/ intensity (need a lil light to notice diff at low intensities)</p></li></ul></li></ul>
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sensory dimension and weber fraction (k)

  • e.g., for smell → means need to add 7% of stimulus order to detect diff in intensity

  • pitch is the most sensitive (need to change v lil)

<ul><li><p>e.g., for smell → means need to add 7% of stimulus order to detect diff in intensity </p></li><li><p>pitch is the most sensitive (need to change v lil)</p></li></ul>
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how is the JND related to changes in perception?

  • assumption: JND is like unit sensory perception = unit change in sensory perception

  • difference = 1 unit change

  • only func work as increase JND and keep sensation same → Fechner’s law

    • S = K ^log (I)

      • S = psych sensation/perception

      • k = constant (NOT same k)

      • I = stimulus lvl/intensity

  • law assumes that all JNDs are perceptually equivalent, i.e., ΔI is a “unit of the mind”

  • need to ad more to keep ΔS

  • psych experinence increases less quickly than actual physical stimulus increases → slope decreases as intensity increases

    • NOT TRUE for ALL sensory modality

<ul><li><p>assumption: JND is like unit sensory perception = unit change in sensory perception </p></li><li><p>difference = 1 unit change </p></li><li><p>only func work as increase JND and keep sensation same → Fechner’s law</p><ul><li><p>S = K ^log (I) </p><ul><li><p>S = psych sensation/perception </p></li><li><p>k = constant (NOT same k)</p></li><li><p>I = stimulus lvl/intensity </p></li></ul></li></ul></li><li><p>law assumes that all JNDs are perceptually equivalent, i.e., ΔI is a “unit of the mind”</p></li><li><p>need to ad more to keep ΔS</p></li><li><p>psych experinence increases less quickly than actual physical stimulus increases → slope decreases as intensity increases</p><ul><li><p>NOT TRUE for ALL sensory modality</p></li></ul></li></ul>
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what is modern psychophysics?

  • debate: whether stimulus-sensation relationship could be measured continued after Fechner and Weber’s work

  • Stevens proposed new set method studying perception:

    • beleived could directly measure sensation

    • beegan era of modern psychophysics

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magnitude estimation & power law

  • scaling: a general psychophysical procedure to estimate the amount of sum related to perception

  • magnitude perception: a scaling approach in which subject provide direct ratings of thir sensations

  • experiment: subj assign num to the standard stimulus (modulus) and provide a relative numerical rating for other stimulus of varying intensities

    • discovered relationship bet. stimulus and sesation can be direction measured bu subj

      • subj ratings were consistent w/ power law

        • S = a x I^b

          • S = sensory experience

          • a - scaling const

          • B = exponent that determines if increases lot/lil at diff intensities

<ul><li><p>scaling: a general psychophysical procedure to estimate the amount of sum related to perception</p></li><li><p><strong>magnitude perception</strong>: a scaling approach in which subject provide direct ratings of thir sensations</p></li><li><p><strong><u>experiment:</u></strong> subj assign num to the standard stimulus (modulus) and provide a relative numerical rating for other stimulus of varying intensities</p><ul><li><p>discovered relationship bet. stimulus and sesation can be direction measured bu subj</p><ul><li><p>subj ratings were consistent w/ power law</p><ul><li><p>S = a x I^b</p><ul><li><p>S = sensory experience</p></li><li><p>a - scaling const</p></li><li><p>B = exponent that determines if increases lot/lil at diff intensities</p></li></ul></li></ul></li></ul></li></ul></li></ul>
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what is the val of power exponent (b)?

  • each sensory experience is related to stimulus intensity by a specific exponent

  • nature of the relationship, or “power func” or decreasing, depending on exponent

  • NOTE: for exponents >1, Fechner’s law does NOT hold, use Steven’s power law

  • graph:

  • for blue and purple: at low lvl notice diff but not at high intensities

  • for green n red: at low lvls, if increase shock a lil bit, sensation doesn’t change much but tiny lil increase in intensity can than lead to big changes in sensory experience

  • shows Fechner’s law does NOT hold

<ul><li><p>each sensory experience is related to stimulus intensity by a specific exponent </p></li><li><p>nature of the relationship, or “power func” or decreasing, depending on exponent </p></li><li><p>NOTE: for exponents &gt;1, Fechner’s law does NOT hold, use Steven’s power law</p></li><li><p>graph:</p></li><li><p>for blue and purple: at low lvl notice diff but not at high intensities </p></li><li><p>for green n red: at low lvls, if increase shock a lil bit, sensation doesn’t change much but tiny lil increase in intensity can than lead to big changes in sensory experience </p></li><li><p>shows Fechner’s law does NOT hold</p></li></ul>
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what determines exponent in power func?

  • sensory transducer theory: idea that transduction of the physical stimulus into the biological stimulus is basis power law

    • the neural output of sensory sys must follow power law relationship w/ the stimulus

      • e.g., elec shock

        • neural response gets much bigger w/ intensity

<ul><li><p><strong>sensory transducer theory:</strong> idea that transduction of the physical stimulus into the biological stimulus is basis power law</p><ul><li><p>the neural output of sensory sys must follow power law relationship w/ the stimulus</p><ul><li><p>e.g., elec shock</p><ul><li><p>neural response gets much bigger w/ intensity</p></li></ul></li></ul></li></ul></li></ul>
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what are some other scaling techniques?

  • cross-modality matching: compare stimulus from one sensory modality to stimulus of another sensory modality

    • relationships seem to be similar across individuals

  • graph → equal sensation func

    • e.g., shock w/ sound of shock

<ul><li><p><strong>cross-modality matching</strong>: compare stimulus from one sensory modality to stimulus of another sensory modality</p><ul><li><p>relationships seem to be similar across individuals</p></li></ul></li><li><p>graph → equal sensation func</p><ul><li><p>e.g., shock w/ sound of shock</p></li></ul></li></ul>
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why is JND important?

  • relevant to many living things, not just humans

    • e.g., peacock feather diff might not be diff to females so can evolve to have less

      • good for them bc less heavy

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what is signal detection theory?

  • recall: sig detection can vary → abs. thresh depends on likelyhood that signal>noise to produce a perceptible event

  • SDT: theory that takes into account nonsensory factors that can affect sig detection

    • uses stat concepts that take into account cog factors (i.e., sources of variability) that may influence a subj’s decision - making process

    • assumes the decision depends on sensitivity of sensory sys + udgment by subj (cog factor)

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example 1 - detecting signal above noise

  • scenario: you’re in the shower, waiting for a v important phone call

    • water making conts sound = noise

    • sound phone ringing = sig

    • noise n signal + noise r represented by distribution

  • graph A:

    • magnitude perception varies

    • on avg, percpetion of loudness of shower noise = “x”

    • plot of all sensations would have a normal distribution

  • graph B:

    • when ringtone plays, signal is added to noise

  • graph C:

    • must decide on criterion (β) lvl of response, i.e., an int. thresh set by observer → min response lvl

      • β is automatic → unconscious

<ul><li><p>scenario: you’re in the shower, waiting for a v important phone call</p><ul><li><p>water making conts sound = noise</p></li><li><p>sound phone ringing = sig</p></li><li><p>noise n signal + noise r represented by distribution </p></li></ul></li><li><p>graph A: </p><ul><li><p>magnitude perception varies</p></li><li><p>on avg, percpetion of loudness of shower noise = “x”</p></li><li><p>plot of all sensations would have a normal distribution</p></li></ul></li><li><p>graph B:</p><ul><li><p>when ringtone plays, signal is added to noise </p></li></ul></li><li><p>graph C:</p><ul><li><p>must decide on criterion (<strong>β) </strong>lvl of response, i.e., an int. thresh set by observer → min response lvl</p><ul><li><p><strong>β is automatic </strong>→ unconscious </p></li></ul></li></ul></li></ul>
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example 2 - detecting signal above noise

  • radiologists use mammograms to screen women for breast cancer

  • on a mammogram, cancer appears as a fuzzy white region (=signal)

  • there are other fuzzy regions of the mammogram not due to cancer (=noise)

  • decision for cancer diagnosis needs to be made

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what are the 4 possible outcomes in an SDT experiment?

  • in STD experiment, can test effect of noise alone by giving subj a num of trials in which no signals present

    • can show how sensitive participants r to noise

<ul><li><p>in STD experiment, can test effect of noise alone by giving subj a num of trials in which no signals present </p><ul><li><p>can show how sensitive participants r to noise </p></li></ul></li></ul>
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how sensitive are you to ringtone?

  • sensitivity to a stimulus is illustrated by the separation bet. the distribution of your response to noise alone and sig+noise

    • by knowing relalationship of hits to false alarms, can calc sensitivity measure, d’, if vol phone is higher → will have a high d’

<ul><li><p>sensitivity to a stimulus is illustrated by the separation bet. the distribution of your response to noise alone and sig+noise </p><ul><li><p>by knowing relalationship of hits to false alarms, can calc sensitivity measure, d’, if vol phone is higher → will have a high d’</p></li></ul></li></ul>
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can β change according to expectation and motivation?

  • blue arrow → more liberal criterion

    • influence of waiting/expecting news

  • green → conservative lvl

    • e.g., if know it’s your mom calling, don’t go, can call back later

  • for stimulus likelihood

    • expect stimulus 30% time → conservative

    • expect it 70% time → liberal

    • increases likelihood hit and false

<ul><li><p>blue arrow → more liberal criterion </p><ul><li><p>influence of waiting/expecting news </p></li></ul></li><li><p>green → conservative lvl </p><ul><li><p>e.g., if know it’s your mom calling, don’t go, can call back later </p></li></ul></li><li><p>for stimulus likelihood </p><ul><li><p>expect stimulus 30% time → conservative </p></li><li><p>expect it 70% time → liberal</p></li><li><p>increases likelihood hit and false</p></li></ul></li></ul>
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what is the reiciver operating characteristic (ROC) curve?

  • plot hit vs. false alarms for a sig of fixed intensity

  • illustrates the effet of diff criterion effects in SDT experiment

  • simply changing nonsensory factors can affect detection

    • response bias

  • so there is no abs. thresh bc it depends on many factors

<ul><li><p>plot hit vs. false alarms for a sig of fixed intensity </p></li><li><p>illustrates the effet of diff criterion effects in SDT experiment </p></li><li><p>simply changing nonsensory factors can affect detection </p><ul><li><p>response bias</p></li></ul></li><li><p>so there is no abs. thresh bc it depends on many factors </p></li></ul>
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inof in ROC curve

  • NOTE: higher d’ = distributions are far apart

  1. provides estimate of relative sensitivities of diff individuals (d’)

    • can figure out by matching hit & false alarm rates to appropriate ROC curve

    • increasing d’ increases separation bet. distributions and the likelihood of a hit (less likelihood false)

      • as d’ increases → sensitivity increases

    • straight line on the graph = guessing (probability hit and false same)

  2. provides measure of how nonsensory factors may influence judgement (β)

    • can see how probability change when signal and us stay same but there are expectancies & motivation involved

NOTE: ROC will never bend beneath chance performance (i.e., more false alarms than hits), bc the sig distribution is always to R of noise distribution → area under blue curve is always greater than area under red curve since blue curve = sig + noise

<ul><li><p>NOTE: higher d’ = distributions are far apart</p></li></ul><ol><li><p>provides estimate of relative sensitivities of diff individuals (d’) </p><ul><li><p>can figure out by matching hit &amp; false alarm rates to appropriate ROC curve</p></li><li><p>increasing d’ increases separation bet. distributions and the likelihood of a hit (less likelihood false)</p><ul><li><p>as d’ increases → sensitivity increases </p></li></ul></li><li><p>straight line on the graph = guessing (probability hit and false same)</p></li></ul></li><li><p>provides measure of how nonsensory factors may influence judgement (<strong>β</strong>)</p><ul><li><p>can see how probability change when signal and us stay same but there are expectancies &amp; motivation involved</p></li></ul></li></ol><p>NOTE: ROC will never bend beneath chance performance (i.e., more false alarms than hits), bc the sig distribution is always to R of noise distribution → area under blue curve is always greater than area under red curve since blue curve = sig + noise</p>