Calebs 2013 Stats Lecture 3

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    Outline and readings for Lecture 3

    Key topics addressed

    *Anecdotal evidence and its problems

    *Correlation*Independent and Dependent Variables

    *Types of research design: Correlational, Quasi-Experiment, True Experiment

    *External Validity

    *Internal Validity

    *The need for a control condition

    *Blinding

    Recommended reading:* Taylor, James. Efficacy and safety of Echinacea in treating upper respiratory tract infections in children: A

    randomized controlled trial.

    PDF is on library website, direct link is:http://opac.library.usyd.edu.au/search~S4?/rpsyc1001/rpsyc1001/1,1,1,B/frameset~3140013&FF=rpsyc1001&1,1,

    NB: If this link or any other library article link does not work, go to the library website: http://www.library.usyd.edu.au/

    Then CATALOGUE, select Unit of Study, and type in PSYC1001. You will find a page of articles and this one will be one of them.

    Recommended media:

    Enemies of Reason BBC 2008 download from Blackboard (from the front page Videos related to

    Psychology lectures and tutorials). It is 44minutes for this lecture it is the section on Dowsing which will

    be specifically referred to 24:40 29:40.

    http://opac.library.usyd.edu.au/search~S4?/rpsyc1001/rpsyc1001/1,1,1,B/frameset~3140013&FF=rpsyc1001&1,1http://www.library.usyd.edu.au/http://www.library.usyd.edu.au/http://opac.library.usyd.edu.au/search~S4?/rpsyc1001/rpsyc1001/1,1,1,B/frameset~3140013&FF=rpsyc1001&1,1
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    Science & Statistics in Psychology

    Lecture 3

    A thousand zeros is still nothing

    Dr Caleb Owens

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    Lecture Outline

    Research designsAnecdotes and case studies Correlational studies

    Quasi-experiments

    True experiments

    External validity

    Random sampling

    Internal validity Random allocation

    Blinding

    Even more terminology Independent

    variable

    Dependent variable Control condition

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    Baby got sick anecdote

    Hypotheses:Change in formula

    Virus

    Change in weather

    Local water supply

    Teething

    Requires solids

    Important points:Anecdote may only contain

    one possible cause

    What advice would I give to

    other parents and how would I

    qualify that advice?

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    Condition ParticipantParticipant Participant Participant Participant Participant Participant Participant

    No change

    in formula

    1 2 3 4 5 6 7 8

    Aust

    Formula ->Japan

    Formula

    9 10 11 12 13 14 15 16

    Japan

    Formula ->

    Aust

    Formula

    17 18 19 20 21 22 23 24

    24 babies (8 per condition) needed for a controlled test of just ONE

    hypothesis

    Why would we think that our observations of ONE baby would be

    enough to distinguish between SIX plausible hypotheses?

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    Anecdotal evidence

    The plural of anecdote is not evidence

    Anecdotes are usually worse than useless

    Because they generally support what we believe

    The anecdote contains the (proposed) explanationwhich cannot be untangled once it is passed on

    It cannot be replicated or documented by non-

    prejudiced observers

    It changes with every retelling and depends on falliblememory

    At most anecdotes provide clues and leads

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    I got better anecdote

    I am living proof that X works

    I had illness Y, and was treated with X, and then

    I got better!

    So it must have been X !!!

    What is wrong with this conclusion?

    What else could have happened?

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    Case studies

    Significantly more systematic than anecdotes All details taken and recorded in a scientific manner

    May simply consist of the combination of previouslycollected information

    Can consist of the systematic collection of longitudinaldata E.g. The famous television series: 7-up, 49-up

    Provide important details which can lead to latersystematic research and breakthroughs

    Should not be over-interpreted since the sample size isoften small and rarely randomly selected Ideal for investigating rare or highly specific topics

    E.g. prosopagnosia

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    Anecdote

    My Aunty Liz got Cholera fromthe terrible smells and gases

    coming from the river near herhouse. She moved house.Whenever she smellssomething bad from now onshe stays away and hasnt gotCholera since!

    Case Study

    Elizabeth Cromwell contractedCholera on 12th July 1723

    during a particularly hotsummer.

    When winds were blowingfrom the East, her housebecame filled with noxiousgases causing a terrible smell.

    She was an otherwise healthywomen whose only otheraffliction was mild Dysenterysome years earlier.

    Her house was located next tothe river Thames which at thetime contained a large amountof raw sewage.

    She drew her drinking waterfrom a well which was exposedto the river.

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    Correlational studies

    Measure two naturally occurring variables Find a relationship between them

    Only a very weak causal inference could

    be drawn (a suggestion, a lead for moreresearch)

    No independent variables are controlled

    e.g. Simply look through lots of data and find

    relationships

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    Correlation Coefficients

    XY = 0.7

    The sign (+ or ) indicates

    the direction of the

    relationship(+ : as values on one variable get bigger,values on the other get bigger; - : as values

    on one variable get bigger, values on the

    other get smaller)

    The number indicates

    the strength of the

    relationship(0.1, 0.2, 0.3 = weak ;

    0.7, 0.8, 0.9 = strong)

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    Scatterplots

    X

    100806040200

    Y

    600

    400

    200

    0

    -200

    -400

    -600

    X

    100806040200

    Y

    120

    100

    80

    60

    40

    20

    0

    -20

    XY = 0.25

    XY = 0.88Positive Correlations

    The score on two

    IQ tests taken on

    the same day

    The relationshipbetween High

    School grades

    and University

    grades

    Each person has two scores and these

    are plotted on separate axes

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    Scatterplots

    X

    100806040200

    Y

    20

    0

    -20

    -40

    -60

    -80

    -100

    XY = -0.93

    X

    100806040200

    Y

    400

    300

    200

    100

    0

    -100

    -200

    -300

    -400

    XY = -0.16

    Negative Correlations

    The number of

    hours of exercise

    people do and their

    excess fat in a

    pinch test

    The amount of

    time people

    spend on the

    internet and their

    university grades

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    Correlation and Causation

    Just because two variables are correlated

    with each other does not mean that one

    causes the other.

    Example: The number of ice-creams

    consumed on a certain day correlates

    positively with deaths by drowning (0.8)

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    Correlation and Causation

    It could be that:

    Eating ice-cream causes drowning

    Drowning causes ice-cream to be eaten

    Amount of ice-cream eaten and number ofdrownings are both caused by the

    temperature on a particular day

    Does the cold of winter cause colds andflu ?

    http://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etc

    http://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etchttp://www.straightdope.com/columns/read/997/why-is-winter-the-season-for-colds-flu-etc
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    Some plausible correlational findings

    Living close to the beach is correlated with being rich Causation in the other direction ?

    Religiousness is correlated with being on death row Causation in the other direction ? Third variable ?

    Arriving illegally by boat is correlated with being violent Third variable ?

    Being at University is correlated with being homosexual Measurement bias ?

    Height is correlated with IQ Third variable ?

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    Correlation and Causation

    In general, if A & B are correlated it ispossible that:

    A causes B

    B causes A

    Some other variable C causes both A & B

    Correlation Causation!

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    pshot/mcdonalds-happy-meal-resis

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  • 7/30/2019 Calebs 2013 Stats Lecture 3

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    http://www.n

    aturalnews.com/030074_H

    appy_Meal_decompose.html

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  • 7/30/2019 Calebs 2013 Stats Lecture 3

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    Source:http://aht.seriouseats.com/archives/2010/11/the-burger-lab-revisiting-the-myth-of-the-12-year-old-burger-testing-results.html

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    The control condition

    Since variables change (or do not change)all by themselves, or by the action of

    unforeseen agents, a no-manipulation, no-

    drug, unaffected, control condition isneeded

    This is usually one level of a manipulated

    independent variable Condition 1: Drug High Strength

    Condition 2: Drug Low Strength

    Control Condition 3: No drug

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    Independent & Dependent

    Variables

    Presumed Cause

    Antecedent Cause

    Stimulus Variable

    Behaviour of Interest

    Response Variable

    Independent

    Variable

    Dependent

    Variable

    Manipulated by

    experimenterMeasured by

    experimenter

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    Correlational studies

    Measure two naturally occurring variables Find a relationship between them

    Only a very weak causal inference could

    be drawn (a suggestion, a lead for moreresearch)

    No independent variables are controlled

    e.g. Simply look through lots of data and find

    relationships

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    True Experiments Randomly allocate subjects to different levels of the

    independent variable

    So all independent variables of interest are controlled

    By not letting subjects choose, most confounds

    cancel each other out because you have a randomamount of each in each group

    E.g. When subjects turn up you toss a coin to see which

    condition they go into. If the experiment is based on speed,then with enough subjects, naturally fast and slow people

    in each condition will cancel each other out

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    Quasi-experiments Some attempt at controlling variables

    Matching Manipulating some IVs but not others

    Always a study of pre-existing groups in some sense

    Whenever you have pre-existing groups you have

    obvious confounds

    Causal inference is weak

    Example

    When studying the psychological impact of domesticviolence, you find a control group which has not

    experienced violence (and you want to ensure the groups

    are as similar as possible), and you may give both groups

    different kinds of therapy

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    Random allocation of independent

    variables

    Correlational study : NONE

    Quasi experiment : At least one (but not

    others); or none, but some attempt to

    control one (e.g. matching)

    True Experiment : ALL

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    Research Designs: Drug use example

    Correlational: simply record the amount of alcoholconsumed and University Grades Weak causal inference

    Numerous alternative explanations

    Quasi-experimental: Select a group of people whodrink regularly and a group who do not, match themon diet, exercise, age and lifestyle and compare theirgrades Eliminates some confounds

    Does not control for all variables (e.g. attitude, personality) True experiment: Randomly allocate 250 people to

    drink heavily and 250 to drink a placebo control Controls for most extraneous variables

    Puts 50% at risk !

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    Research Designs: Self-Esteem Example

    Correlational: Record self-esteem and University

    Grades and look for a relationship Weak causal inference

    Numerous alternative explanations

    Quasi-experiment: take people who have high self-

    esteem and low self-esteem; compare their gradesand try to improve these with extra classes or peersupport Eliminates some alternative explanations

    Self-esteem is still pre-existing and may have been caused

    by a third variable True experiment: Randomly allocate 250 people to

    high self-esteem and 250 people to low self-esteemand measure the impact on Uni grades Controls for most extraneous variables

    Impractical, unethical

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    Control means:

    Being able to determine what level of the

    independent variable(s) any participant willreceive

    There is no control when: Participants self-select which group they are

    in (e.g. Choosing a particular treatment)

    Participants already belong to a level of theindependent variable because of a pre-

    existing condition

    The independent variable cannot be easily or

    ethically changed

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    Controlling variables

    Hard to randomly

    allocate:

    Treatments

    Lifestyles

    Education

    Experience

    Diet

    Impossible to randomlyallocate Sex

    Brain damage (in humans)*

    Psychological disorders Extreme stress / trauma

    /anxiety

    Sexuality

    Family

    Location Religion

    Race

    Income

    *TMS, transcranial magnetic stimulation, now makes this possible

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    Sex differences

    Males are better than females at spatial tasks(e.g. mental rotation)

    Hypothesize: Maybe this is caused by males

    having more experience with spatial toys

    Match males & females on Lego experience

    This is called holding the variable constant: its not the

    same as the control you have in a true experiment

    Males are better than females at spatial tasks but

    when we controlled for spatial task experience the

    difference disappeared

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    External validity

    Based on sample size, and the representativeness ofthe sample and where and how the experiment isconducted

    Depends on random selection of subjects and howclosely the setting matches the real world

    How applicable is the data to the real world? How applicable to the real world are laboratory based

    findings?

    How well can you generalize from your results tothe real world? NB: This depends heavily on the topic

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    Internal validity

    The ability to draw a causal inference

    The extent to which changes in the DV are

    likely to be due to changes in the IV

    Depends on random allocation of subjects to

    different levels of the IV and the elimination of

    alternative explanations and confounding

    variables Type of Research Design Internal ValidityCase Study / Anecdote Zero

    Correlational Study Very low or zero

    Quasi-Experiment Low to moderate

    True Experiment High

    Bli d

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    Blindness Being blind means you do not know what

    treatment/condition is being administered

    If the researcher is not blind May not randomly allocate correctly

    May unconsciously change data

    May unconsciously record data and affect outcome

    If the subject is not blind The effect arises because they expect it to (placebo effect)

    If both subject and experimenter dont know whatcondition is being administered it is called double-blind

    Could anecdotal evidence ever be of a randomized

    double blind nature?

    Unblinded

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    Unblinded

    Participant takes a pill knowing that it is intended to

    relieve pain

    Single-blind Participant is given a pill by a researcher (who knows

    what it does) but is not told whether or not it will

    relieve pain

    Double-blind Researcher 1 makes the pills Yellow and Blue. She

    gives them to Researcher 2 who does not know which

    one has an active ingredient. Researcher 2 gives the

    participant one of the pills and records how effective itis. Researcher 1 takes the data which records how

    effective the Yellow and Blue pills were and makes a

    conclusion (only they knew that the Blue pill

    contained an active ingredient)

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    Clever Hans

    -see http://en.wikipedia.org/wiki/Clever_hans

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    Dowsing: the ideomotoreffectSee video: Enemies of Reason Episode 1, 24:40-29:40

    Download from Blackboard

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    Replication

    Beyond the design, replication is everything inscience

    Replication means the same findings can be foundagain by repeating the study

    This is why in an APA formatted research article the Methodsection goes into enough detail to repeat the study

    Beware of people and websites who pick out just ahandful of (often older) articles to support their view,

    and ignore the fact such results were never foundagain, or are found very rarely (indicating a result dueto chance or bias)

    Beware of groups who insist their results can only bereplicated by people who are trained in doing what

    they do

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    Summary

    Be able to distinguish between and define theseresearch designs: Case-study

    Correlational study

    Quasi Experiment True Experiment

    Understand this important terminology External Validity

    Random Selection Internal Validity

    Random Allocation

    Replication