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Scales and Measurement Chapters 11, 12

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Title: Scales and Measurement Chapters 11, 12


1
Scales and MeasurementChapters 11, 12
2
Constructs and Measurement
  • Construct Development
  • Identifying and defining what is to be measured
  • A construct is a hypothetical variable composed
    of different elements that are thought to be
    related (e.g., 5 questions tapping brand loyalty)
  • Measurement
  • Figuring out how to measure what you want to
    measure
  • Measure needs to be reliable and valid ?

3
Different Types of Reliability
  • Internal Reliability
  • Extent to which items on a scale hang together
    or are correlated with one another
  • Cronbachs alpha (covered in last class)
  • Split-half reliability (split measure into
    halves, correlate)
  • Test-Retest Reliability
  • Extent to which scores are stable over time
  • Have people complete questionnaire twice and
    correlate scores

4
Validity Overview of Key Definitions
  • Validity (in general)
  • The extent to which conclusions drawn from a
    study are true
  • Internal Validity
  • When a researcher can clearly identify cause and
    effect relationships (i.e., there are no
    confounds)
  • External Validity
  • The extent to which what you find in your study
    can be generalized to your target population
  • Construct Validity
  • Extent to which your constructs of interest
    (e.g., sensation seeking) are accurately and
    completely identified (measured)
  • In other words, the extent to which you are
    actually measuring what you say you are measuring
    (your sensation seeking scale really does measure
    the true construct of sensation seeking)

5
Other Forms of Validity
  • Content Validity (Face Validity)
  • Extent to which a measure is appropriate
    according to experts in the domain of interest
  • Concurrent Validity (Convergent Validity)
  • Extent to which one measure of a construct
    overlaps with other similar measures of that
    construct
  • Discriminant Validity
  • Extent to which a measure of one construct does
    not overlap with measures of different constructs
  • Predictive Validity
  • Extent to which a measure of a construct can
    predict theoretically-relevant outcomes
  • Nomological Validity
  • How a construct fits within a broader set of
    related constructs

6
Key Idea
  • To develop reliable and valid measures which we
    can subsequently (and appropriately) use in
    statistical analyses, we must understand
  • Properties of scales
  • How to design good questions that do not lead to
    biased or inconsistent responses

7
Measurement/Scaling Properties
  • Assignment
  • You can assign objects to categories
  • Order (Magnitude)
  • You can order objects in terms of having more or
    less of some quality
  • Distance (Equal Intervals)
  • The distance between adjacent points on the scale
    is identical
  • Origin (Absolute Zero Point)
  • Zero means something (absence of a given
    quality)

8
Types of Scales
  • Nominal Scale
  • Has Assignment Only (Political Party)
  • Ordinal
  • Has Assignment, Order (Rank Order of Finish in a
    Race)
  • Interval
  • Has Assignment, Order, Equal Intervals
    (Temperature)
  • Hybrid Ordinally-Interval Scale
  • Like an ordinal scale, but researcher pretends
    it is an interval scale (e.g., assumes 1 to 7
    scale is an interval scale) commonly used in
    questionnaires
  • Ratio
  • Has Assignment, Order, Equal Intervals, Absolute
    Zero (Number of Cars)

9
What Type of Scale?
  • Number of Sweaters Purchased This Year? _______
  • What is Your Ethnicity?
  • To what extent do you agree or disagree that
    Congress should have approved the 700 bailout?
    (1 strongly disagree to 7 strongly agree)
  • Please rank the following issues from most to
    least important (Iraq, Health Care, Economy,
    Environment)
  • What is your income? (5-10k 11-15k 16-20k
    20-25k 25-30k)

10
On the Importance of Attitudes
I believe both candidates bring strengths to the
table
I think McCain has a good grasp of national
security issues
I feel a strong connection with Obama
I think Obamas Plan for Health Care Reform is a
good one
Im planning on voting for Obama
I am inclined to vote for McCain
I feel McCain would be a good leader
11
Three Components of Attitudes
  • Cognitive Component
  • How a person thinks about an attitude object
    (product, issue, candidate, idea)
  • Affective Component
  • How a person feels about an attitude object
  • Behavioral
  • A persons behavioral predisposition to respond
    to an attitude object in a certain way

12
Three Components of Attitudes?
I believe both candidates bring strengths to the
table
I think McCain has a good grasp of national
security issues
I feel a strong connection with Obama
I think Obamas Plan for Health Care Reform is a
good one
Im planning on voting for Obama
I am inclined to vote for McCain
I feel McCain would be a good leader
13
Measuring Attitudes
  • While attitudes not perfect predictors of
    behavior, still very important
  • We need to understand how to measure attitudes
    accurately
  • Today, well look at some creative ways to
    measure attitudes
  • And, some standard approaches taken in marketing
    research
  • As we do this, think about the types of questions
    we might want to ask in our restaurant concepts
    study

14
Creative Measures of Attitudes
  • Projective techniques (partially structured)
  • Physiological (GSR Heart Rate Blood Pressure)
  • Functional magnetic resonance imaging (fMRI)
  • Flushing toilets
  • Bogus pipeline
  • Lost letters and emails
  • Implicit association test (IAT)

15
Youve Got Mail!
  • Dear Peter Price,
  • Thank you for applying for a Glassner Foundation
    Scholarship. As you know, these scholarships are
    highly competitive and are given only to a few
    select students. They cover tuition for four
    years at a state-funded university. There is also
    an additional 500 per year for academic
    supplies.
  • Because of the large number of applicants this
    year we are late in sending out these notices.
    Because of the time sensitive nature of this
    material, we wanted to immediately inform you of
    the committees decision regarding your
    application.
  • We are happy to inform you that you have been
    selected to receive a Glassner Scholarship.
  • We ask that you respond within 48 hours. Due to
    the high number of applicants, we would like to
    extend the scholarship to others applicants if
    you do not accept the scholarship.

16
Youve Got Mail!
  • Dear Mohammed Hameed,
  • Thank you for applying for a Glassner Foundation
    Scholarship. As you know, these scholarships are
    highly competitive and are given only to a few
    select students. They cover tuition for four
    years at a state-funded university. There is also
    an additional 500 per year for academic
    supplies.
  • Because of the large number of applicants this
    year we are late in sending out these notices.
    Because of the time sensitive nature of this
    material, we wanted to immediately inform you of
    the committees decision regarding your
    application.
  • We are happy to inform you that you have been
    selected to receive a Glassner Scholarship.
  • We ask that you respond within 48 hours. Due to
    the high number of applicants, we would like to
    extend the scholarship to others applicants if
    you do not accept the scholarship.

17
Youve Got Mail!
  • Dear Mohammed Hameed,
  • Thank you for applying for a Glassner Foundation
    Scholarship. As you know, these scholarships are
    highly competitive and are given only to a few
    select students. They cover tuition four four
    years at a state-funded university. There is also
    an additional 500 per year for academic
    supplies.
  • Because of the large number of applicants this
    year we are late in sending out these notices.
    Because of the time sensitive nature of this
    material, we wanted to immediately inform you of
    the committees decision regarding your
    application.
  • We regret to inform you that you have not been
    selected to receive a Glasser Scholarship.
  • We ask that you respond within 48 hours. Due to
    the high number of applicants, we would like to
    extend the scholarship to others applicants if
    you do not accept the scholarship.

18
Youve Got Mail!(Method)
  • Bushman Bonacci (2004, JESP)
  • Pretested on Arab-American Prejudice
  • 2 weeks later, receive email intended for a
    different person
  • 2 IVs
  • Intended recipient had European-American (Peter
    Price) vs. Arab-American name (Mohammed Hameed)
  • Intended recipient won or didnt win a
    scholarship (4 years support)
  • DV willingness to return the email to the
    sender to indicate it was incorrectly delivered
    (must be done in 2 days)

19
Youve Got Mail!(Results)
20
Youve Got Mail!(Results)
21
Youve Got Mail!(Results)
22
Youve Got Mail!(Results)
  • GOOD NEWS! YOU WON!!
  • P (returning email) went down as prejudice went
    up, especially when the intended recipient had an
    Arab-American name
  • BAD NEWSYOU DIDNT WIN.
  • European-American P (returning email) went down
    as prejudice went up
  • Arab-American P (returning email) went up as
    prejudice went up.
  • People with Arab-American prejudice were actually
    more likely to return the bad news than the good
    news email when recipient was Arab American
  • WHAT MIGHT EXPLAIN SUCH ARAB-AMERICAN PREJUDICE?

23
Terror Management Theory
  • Basic Assumption
  • Humans have developed anxiety buffering
    mechanisms against fear of death (cultural
    worldview, self-esteem, relationships)
  • Typical Method
  • Write about own death (mortality salience) or
    dental pain
  • Filler task
  • Judge others from ingroup vs. outgroup
  • Typical Result
  • We judge worldview threatening others more
    harshly under conditions of mortality salience
  • Support for Bush (vs. Kerry) goes up after MS
    prime

24
Implicit Association Task (IAT)
  • An implicit attitude is an attitude which people
    are not conscious of (or would not want to admit
    to) but which can be assessed via the
    associations people hold in their minds between
    evaluative words (good, bad) and attitude objects
    (Caucasian, Arab)
  • The IAT is a reaction time (RT) task in which
    subjects categorize words (positive, negative)
    and attitude objects (pictures of Caucasians,
    Arabs) on the left or right side of screen
  • To simplify, some trials involve categorizations
    that are consistent with an implicit attitude,
    others are inconsistent with the attitude
  • If there is an implicitly negative attitude
    toward Arabs, then reaction times should be
    slower to the inconsistent trials

25
The following set of trials is consistentwith
an implicitly negativeattitude toward
ArabsReaction times should berelatively fast
if thereis an implicitly negative
attitudetoward Arabs
26
Good Word or Caucasian
Bad Word or Arab
If you see a good word or a Caucasian, hit e
(left) If you see a bad word or an Arab, hit i
(right)
27
Good Word or Caucasian
Bad Word or Arab
28
Good Word or Caucasian
Bad Word or Arab
Dirt
29
Good Word or Caucasian
Bad Word or Arab
30
Good Word or Caucasian
Bad Word or Arab
Happy
31
Now Change Categorization(The following trials
areinconsistent with implicit negative attitude
toward Arabs)Reaction times should be slower on
these trials if there is an implicitly negative
attitude toward Arabs
32
Good Word or Arab
Bad Word or Caucasian
Categorization Switched
33
Good Word or Arab
Bad Word or Caucasian
34
Good Word or Arab
Bad Word or Caucasian
Joy
35
Good Word or Arab
Bad Word or Caucasian
Death
36
Good Word or Arab
Bad Word or Caucasian
37
What are we saying?!
  • Sensitive attitudes (e.g., racial prejudice) are
    sometimes hard to assess with a self-report scale
    (due to social desirability concerns)
  • The IAT measures associations (automatic
    attitudes)
  • Implicitly negative attitudes are not uncommon,
    but
  • People can also override these automatic
    responses with controlled processes (so behavior
    is not discriminatory)
  • For more information, visit https//implicit.harva
    rd.edu/implicit/ where you can take an IAT for
    the 2008 election (or other issues)

38
Verbal Rating Scales
How satisfied were you with todays
meal? 1 2 3 4 5 6 7 Extremely Dissatisfied Som
ewhat Neither Somewhat Satisfied Extremely Dissat
isfied Dissatisfied Satisfied Satisfied
39
Issues in Designing Verbal Rating Scales
  • Many measures taken by marketing researchers are
    verbal ratings
  • What do we need to consider when we develop
    verbal rating scales?
  • Number of categories
  • Forced vs. unforced scale
  • Balanced or unbalanced scale
  • Extent of verbal description
  • Should response categories be numbered or not
  • Comparative vs. noncomparative scale
  • Scale direction

40
Number of Response Categories?
  • To what extent are you satisfied with your
    current MP3 player?
  • Most researchers suggest between 5 and 7
    categories for example
  • 1 2 3 4 5 6 7
  • Extremely Dissatisfied Somewhat Neither Somewhat
    Satisfied Extremely Dissatisfied Dissatisfied S
    atisfied Satisfied
  • Too few does not give you enough information
  • Too many and it will be hard for people to
    discriminate between the options (e.g., a
    100-point scale)

41
Forced vs. Unforced Scale?
  • How likely would you be to buy a car manufactured
    in Brazil?
  • Forced Scale (even number of options forces the
    respondent to lean one way or the other)
  • 1 2 3 4 5 6
  • Very Unlikely Somewhat Somewhat Likely Very
  • Unlikely Unlikely Likely Likely
  • Unforced scale gives people a neutral option
  • 1 2 3 4 5 6 7
  • Very Unlikely Somewhat Neither Somewhat Likely Ve
    ry Unlikely Unlikely Likely Likely

42
Balanced vs. Unbalanced Scale?
  • How satisfied are you with your current hair
    stylist?
  • Balanced scale (same number of positive and
    negative options)
  • 1 2 3 4 5 6 7
  • Extremely Dissatisfied Somewhat Neither Somewhat
    Satisfied Extremely Dissatisfied Dissatisfied S
    atisfied Satisfied
  • Unbalanced scale (here all options are positive)
  • 1 2 3 4 5 6 7
  • Somewhat Very Satisfied Satisfied
  • Unbalanced scale can give biased results unless
    distribution is naturally skewed to one side of
    the scale, should use balanced scale

43
Extent of Verbal Description?
  • The U.S. should invest in wind powered energy
  • Label endpoints or label all options?
  • 1 2 3 4 5 6 7
  • Strongly Strongly Disagree Agree
  • 1 2 3 4 5 6 7
  • Strongly Moderately Slightly Neither
    Agree Slightly Moderately Strongly Disagree Disag
    ree Disagree or Disagree Agree Agree Agree
  • Labeling all options can aid in interpretation.

44
Should Categories be Numbered?
  • Toyota is an Environmentally Friendly Company
  • Strongly Moderately Slightly Neither
    Agree Slightly Moderately Strongly Disagree Disag
    ree Disagree or Disagree Agree Agree Agree
  • 1 2 3 4 5 6 7
  • -3 -2 -1 0 1 2 3
  • Numbers can help respondents understand scale
  • 1 to 7 scale quite common
  • But -3 to 3 can help interpretation of scale
    (disagree is negative, agree is positive) it
    may, however, overemphasize negativity
  • Judgment call pretesting both scales could help
    identify problems

Should we have numbers here?
45
Comparative vs. Noncomparative?
  • Noncomparative question
  • How would you evaluate Mintifresh toothpaste?
  • Comparative question
  • Compared to your current brand, how would you
    evaluate Mintifresh toothpaste?
  • Comparative questions establish the referent and
    can be useful if you need to know how your
    product compares to a specific competitor or the
    customers current brand
  • Noncomparative have the advantage of allowing the
    respondent to create their own referent, which
    can potentially improve accuracy

46
Direction of Scale?
  • Typical direction (lower values, negative
    connotation on left)
  • Strongly Moderately Slightly Neither
    Agree Slightly Moderately Strongly Disagree Disag
    ree Disagree or Disagree Agree Agree Agree
  • 1 2 3 4 5 6 7
  • Some scales are not valenced, so must be careful
    about positioning. Here we see a semantic
    differential scale, with amusing positioning
  • Unpleasant -2 -1 0 1 2 Pleasant
  • Flimsy -2 -1 0 1 2 Sturdy
  • Male -2 -1 0 1 2 Female
  • Hmmmthis arrangement suggests that males are to
    be evaluated negatively must be careful in
    designing scales so as not to bias results

47
Other Types of Scales
Rank order the restaurants above where 1 most
preferred, 3 least preferred
48
Rank-Order andPaired Comparison Techniques
  • Rank-order technique
  • Advantages easy to understand, typically what we
    do in real-life (vs. ratings)
  • Disadvantage it may be that a person dislikes
    all of the options, so ranking not that
    informative
  • Paired comparisons
  • Take n products, compare each one to every other
    (in each pair, pick the one you prefer)
  • Gives you direct comparisons, but paired
    comparisons can be very large as number of
    products to be compared increases

49
Semantic Differential Scale
  • Please provide your impression of Politician X
  • Dumb _____ _____ _____ _____ __X__ Smart
  • Cold _____ _____ _____ __X__ _____ Warm
  • Boring _____ _____ _____ _____ __X__ Funny
  • Mean _____ _____ _____ __X__ _____ Nice
  • Please provide your impression of Politician Y
  • Dumb _____ __X__ _____ _____ _____ Smart
  • Cold __X__ _____ _____ _____ _____ Warm
  • Boring _____ _____ __X__ _____ ____ Funny
  • Mean _____ __X__ _____ _____ _____ Nice
  • Profile Analysis of Politician X vs. Y
  • Dumb _____ _____ _____ _____ _____ Smart
  • Cold _____ _____ _____ _____ _____ Warm
  • Boring _____ _____ _____ _____ _____ Funny
  • Mean _____ _____ _____ _____ _____ Nice

X
Y
50
Stapel Scale
  • Please provide your impression of Shoe Store X.
    (Use negative numbers if you feel it is
    inaccurate positive numbers if you feel it is
    accurate)
  • -5 -4 -3 -2 -1 Fast Service 1 2 3 4 5 -5 -4 -3 -
    2 -1 Friendly 1 2 3 4 5
  • -5 -4 -3 -2 -1 Knowledgeable 1 2 3 4 5
  • Can draw comparative profile analysis (e.g., of
    various shoe stores) as we did with semantic
    differential scale (previous slide)

51
Questionnaire DesignChapter 13
  • Some Key Issues

52
Questions Common Pitfalls
  • Incomprehensible
  • When you consider a new stadium, is it possible
    that part of your determining factors might rest
    on the fact that you sometimes choose to forgo
    entertainment in favor of more pedestrian
    activities like walking your dog?
  • Unanswerable
  • Will building a new stadium in Boise cost too
    much?
  • Leading
  • Wouldnt you agree that it is a great idea to
    build a new multiuse facility in Boise?
  • Double-barreled
  • Do you think the old stadium needs to be replaced
    and a new stadium should be built downtown?

53
Purpose of Questions
  • Descriptive
  • Describe characteristics of your sample
  • Predictive (Hypothesis Testing)
  • What demographic factors are associated with
    support for the stadium?
  • Every question should be designed to provide
    useful information
  • What is our primary goal in the stadium study?
  • What questions are we trying to address?
  • How do our questions stack up?
  • Good, bad questions?
  • Do they each answer a question? Descriptive?
    Predictive?

54
Arrangement of Questions Flowerpot Approach
Exhibit 13.5
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