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Chapter Eight

   Measurement and Scaling:
  Fundamentals and Comparative
            Scaling
8-2


Chapter Outline
1) Overview
2) Measurement and Scaling
3) Primary Scales of Measurement
   i.     Nominal Scale
   ii.    Ordinal Scale
   iii.   Interval Scale
   iv.    Ratio Scale
4) A Comparison of Scaling Techniques
8-3


Chapter Outline
5) Comparative Scaling Techniques
   i.     Paired Comparison
   ii.    Rank Order Scaling
   iii.   Constant Sum Scaling
   iv.    Q-Sort and Other Procedures
6) Verbal Protocols
7) International Marketing Research
8) Ethics in Marketing Research
8-4


Chapter Outline
9) Internet and Computer Applications
10) Focus on Burke
11) Summary
12) Key Terms and Concepts
8-5


Measurement and Scaling
    Measurement means assigning numbers or other
    symbols to characteristics of objects according to
    certain prespecified rules.
      One-to-one correspondence between the numbers

       and the characteristics being measured.
      The rules for assigning numbers should be

       standardized and applied uniformly.
      Rules must not change over objects or time.


 
8-6


Measurement and Scaling
 Scaling involves creating a continuum upon which
 measured objects are located.

 Consider an attitude scale from 1 to 100. Each
 respondent is assigned a number from 1 to 100, with
 1 = Extremely Unfavorable, and 100 = Extremely
 Favorable. Measurement is the actual assignment of
 a number from 1 to 100 to each respondent. Scaling
 is the process of placing the respondents on a
 continuum with respect to their attitude toward
 department stores.
8-7


        Primary Scales of Measurement
Scale Figure 8.1
Nominal       Numbers                                           Finish
            Assigned
                                    7           8           3
            to Runners

Ordinal     Rank Order                                          Finish
            of Winners
                            Third       Second      First
                            place        place      place

Interval    Performance
            Rating on a      8.2         9.1         9.6


            0 to 10 Scale
                             15.2        14.1        13.4
Ratio       Time to
            Finish, in
Primary Scales of Measurement                                 8-8


Nominal Scale
   The numbers serve only as labels or tags for
    identifying and classifying objects.
   When used for identification, there is a strict one-to-
    one correspondence between the numbers and the
    objects.
   The numbers do not reflect the amount of the
    characteristic possessed by the objects.
   The only permissible operation on the numbers in a
    nominal scale is counting.
   Only a limited number of statistics, all of which are
    based on frequency counts, are permissible, e.g.,
    percentages, and mode.
8-9


      Illustration of Primary Scales of Measurement
       Table 8.2

Nominal                Ordinal                 Interval      Ratio
Scale                  Scale                   Scale         Scale
                       Preference              Preference    $ spent last
           No. Store                Rankings   Ratings
3 months                                       1-7   11-17
                         7            79       5        15      0
1. Lord & Taylor         2            25       7        17     200
2. Macy’s                8            82       4        14      0
3. Kmart                 3            30       6        16     100
4. Rich’s                1            10       7        17     250
5. J.C. Penney           5            53       5        15      35
6. Neiman Marcus         9            95       4        14      0
7. Target                6            61       5        15     100
8. Saks Fifth Avenue     4            45       6        16      0
9. Sears                 10          115       2        12      10
10.Wal-Mart
Primary Scales of Measurement                              8-10


Ordinal Scale
   A ranking scale in which numbers are assigned to
    objects to indicate the relative extent to which the
    objects possess some characteristic.
   Can determine whether an object has more or less of
    a characteristic than some other object, but not how
    much more or less.
   Any series of numbers can be assigned that
    preserves the ordered relationships between the
    objects.
   In addition to the counting operation allowable for
    nominal scale data, ordinal scales permit the use of
    statistics based on centiles, e.g., percentile, quartile,
    median.
Primary Scales of Measurement                          8-11


Interval Scale
   Numerically equal distances on the scale represent
    equal values in the characteristic being measured.
   It permits comparison of the differences between
    objects.
   The location of the zero point is not fixed. Both the
    zero point and the units of measurement are
    arbitrary.
   Any positive linear transformation of the form y = a +
    bx will preserve the properties of the scale.
   It is meaningful to take ratios of scale values.
   Statistical techniques that may be used include all of
    those that can be applied to nominal and ordinal data,
    and in addition the arithmetic mean, standard
    deviation, and other statistics commonly used in
    marketing research.
Primary Scales of Measurement                            8-12


Ratio Scale
   Possesses all the properties of the nominal, ordinal,
    and interval scales.
   It has an absolute zero point.
   It is meaningful to compute ratios of scale values.
   Only proportionate transformations of the form y = bx,
    where b is a positive constant, are allowed.
   All statistical techniques can be applied to ratio data.
8-13


           Primary Scales of Measurement
           Table 8.1

Scale         Basic                Common                Marketing           Permissible Statistics
              Characteristics      Examples              Examples          Descriptive    Inferential
Nominal       Numbers identify     Social Security       Brand nos., store Percentages,   Chi-square,
              & classify objects   nos., numbering       types             mode           binomial test
                                   of football players
Ordinal       Nos. indicate the Quality rankings,        Preference       Percentile,       Rank-order
              relative positions rankings of teams       rankings, market median            correlation,
              of objects but not in a tournament         position, social                   Friedman
              the magnitude of                           class                              ANOVA
              differences
              between them
Interval      Differences          Temperature           Attitudes,        Range, mean,     Product-
              between objects (Fahrenheit)               opinions, index   standard         moment
Ratio         Zero point is fixed, Length, weight        Age, sales,       Geometric        Coefficient of
              ratios of scale                            income, costs     mean, harmonic   variation
              values can be                                                mean
              compared
A Classification of Scaling                                   8-14


        Techniques
        Figure 8.2

                           Scaling Techniques



                 Comparative                       Noncomparative
                   Scales                              Scales



Paired       Rank    Constant   Q-Sort and   Continuous    Itemized
Comparison   Order   Sum        Other        Rating Scales Rating
                                Procedures                 Scales



                                                Semantic       Stapel
                                    Likert
                                                Differential
8-15


A Comparison of Scaling Techniques
   Comparative scales involve the direct comparison
    of stimulus objects. Comparative scale data must be
    interpreted in relative terms and have only ordinal or
    rank order properties.
 
   In noncomparative scales , each object is scaled
    independently of the others in the stimulus set. The
    resulting data are generally assumed to be interval or
    ratio scaled.
8-16


Relative Advantages of Comparative Scales
   Small differences between stimulus objects can be
    detected.
   Same known reference points for all respondents.
   Easily understood and can be applied.
   Involve fewer theoretical assumptions.
   Tend to reduce halo or carryover effects from one
    judgment to another.
Relative Disadvantages of Comparative                     8-17


Scales
   Ordinal nature of the data
   Inability to generalize beyond the stimulus objects
    scaled.
Comparative Scaling Techniques                                8-18


Paired Comparison Scaling
   A respondent is presented with two objects and
    asked to select one according to some criterion.
   The data obtained are ordinal in nature.
   Paired comparison scaling is the most widely used
    comparative scaling technique.
   With n brands, [n(n - 1) /2] paired comparisons are
    required
   Under the assumption of transitivity, it is possible to
    convert paired comparison data to a rank order.
Obtaining Shampoo Preferences
                                                                           8-19


     Using Paired Comparisons
     Figure 8.3
    Instructions: We are going to present you with ten pairs of
    shampoo brands. For each pair, please indicate which one of the
    two brands of shampoo you would prefer for personal use.
                          Jhirmack Finesse Vidal        Head &     Pert
                                                 Sassoon Shoulders
    Recording Form:
       Jhirmack                            0        0       1              0
         Finesse                 1a                  0          1          0
         Vidal Sassoon           1         1                    1          1
         Head & Shoulders        0         0         0                     0
         Pert                    1         1         0          1
         Number of Times         3         2         0          4          1
         Preferredb
a
 A 1 in a particular box means that the brand in that column was preferred over
the brand in the corresponding row. A 0 means that the row brand was
preferred over the column brand. b The number of times a brand was preferred
is obtained by summing the 1s in each column.
8-20


    Paired Comparison Selling

The most common method of taste testing is paired comparison. The
consumer is asked to sample two different products and select the one
with the most appealing taste. The test is done in private and a
minimum of 1,000 responses is considered an adequate sample. A blind
taste test for a soft drink, where imagery, self-perception and brand
reputation are very important factors in the consumer’s purchasing
decision, may not be a good indicator of performance in the
marketplace. The introduction of New Coke illustrates this point. New
Coke was heavily favored in blind paired comparison taste tests, but its
introduction was less than successful, because image plays a major role
in the purchase of Coke.


A paired comparison                                               taste
test
Comparative Scaling Techniques                           8-21


Rank Order Scaling
   Respondents are presented with several objects
    simultaneously and asked to order or rank them
    according to some criterion.
   It is possible that the respondent may dislike the
    brand ranked 1 in an absolute sense.
   Furthermore, rank order scaling also results in ordinal
    data.
   Only (n - 1) scaling decisions need be made in rank
    order scaling.
Preference for Toothpaste Brands
                                                                  8-22


     Using Rank Order Scaling
    Figure 8.4

Instructions: Rank the various brands of toothpaste in order
of preference. Begin by picking out the one brand that you like
most and assign it a number 1. Then find the second most
preferred brand and assign it a number 2. Continue this
procedure until you have ranked all the brands of toothpaste in
order of preference. The least preferred brand should be
assigned a rank of 10.
No two brands should receive the same rank number.
The criterion of preference is entirely up to you. There is no
right or wrong answer. Just try to be consistent.
Preference for Toothpaste Brands
                                       8-23


Using Rank Order Scaling
Figure 8.4 cont.

 Form
    Brand                 Rank Order
 1. Crest                 _________

 2. Colgate        _________
 3. Aim            _________
 4. Gleem                 _________
 5. Macleans       _________
  6. Ultra Brite           _________
  7. Close Up              _________
  8. Pepsodent             _________
  9. Plus White            _________
10. Stripe                 _________
Comparative Scaling Techniques                             8-24


Constant Sum Scaling
   Respondents allocate a constant sum of units, such
    as 100 points to attributes of a product to reflect their
    importance.
   If an attribute is unimportant, the respondent assigns
    it zero points.
   If an attribute is twice as important as some other
    attribute, it receives twice as many points.
   The sum of all the points is 100. Hence, the name of
    the scale.
Importance of Bathing Soap Attributes
                                                            8-25


  Using a Constant Sum Scale
   Figure 8.5


Instructions
On the next slide, there are eight attributes of
bathing soaps. Please allocate 100 points among
the attributes so that your allocation reflects the
relative importance you attach to each attribute.
The more points an attribute receives, the more
important the attribute is. If an attribute is not at all
important, assign it zero points. If an attribute is
twice as important as some other attribute, it
should receive twice as many points.
Importance of Bathing Soap Attributes
                                                       8-26


       Using a Constant Sum Scale
     Figure 8.5 cont.

Form
              Average Responses of Three Segments
                                           Attribute
   Segment I    Segment II
                      8      Segment III
                                   2             4
1. Mildness           2             4           17
2. Lather             3             9            7
3. Shrinkage         53            17            9
4. Price              9             0           19
5. Fragrance          7             5            9
6. Packaging          5             3           20
7. Moisturizing      13            60           15
   Sum
8. Cleaning Power   100           100          100

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  • 1. Chapter Eight Measurement and Scaling: Fundamentals and Comparative Scaling
  • 2. 8-2 Chapter Outline 1) Overview 2) Measurement and Scaling 3) Primary Scales of Measurement i. Nominal Scale ii. Ordinal Scale iii. Interval Scale iv. Ratio Scale 4) A Comparison of Scaling Techniques
  • 3. 8-3 Chapter Outline 5) Comparative Scaling Techniques i. Paired Comparison ii. Rank Order Scaling iii. Constant Sum Scaling iv. Q-Sort and Other Procedures 6) Verbal Protocols 7) International Marketing Research 8) Ethics in Marketing Research
  • 4. 8-4 Chapter Outline 9) Internet and Computer Applications 10) Focus on Burke 11) Summary 12) Key Terms and Concepts
  • 5. 8-5 Measurement and Scaling Measurement means assigning numbers or other symbols to characteristics of objects according to certain prespecified rules.  One-to-one correspondence between the numbers and the characteristics being measured.  The rules for assigning numbers should be standardized and applied uniformly.  Rules must not change over objects or time.  
  • 6. 8-6 Measurement and Scaling Scaling involves creating a continuum upon which measured objects are located. Consider an attitude scale from 1 to 100. Each respondent is assigned a number from 1 to 100, with 1 = Extremely Unfavorable, and 100 = Extremely Favorable. Measurement is the actual assignment of a number from 1 to 100 to each respondent. Scaling is the process of placing the respondents on a continuum with respect to their attitude toward department stores.
  • 7. 8-7 Primary Scales of Measurement Scale Figure 8.1 Nominal Numbers Finish Assigned 7 8 3 to Runners Ordinal Rank Order Finish of Winners Third Second First place place place Interval Performance Rating on a 8.2 9.1 9.6 0 to 10 Scale 15.2 14.1 13.4 Ratio Time to Finish, in
  • 8. Primary Scales of Measurement 8-8 Nominal Scale  The numbers serve only as labels or tags for identifying and classifying objects.  When used for identification, there is a strict one-to- one correspondence between the numbers and the objects.  The numbers do not reflect the amount of the characteristic possessed by the objects.  The only permissible operation on the numbers in a nominal scale is counting.  Only a limited number of statistics, all of which are based on frequency counts, are permissible, e.g., percentages, and mode.
  • 9. 8-9 Illustration of Primary Scales of Measurement Table 8.2 Nominal Ordinal Interval Ratio Scale Scale Scale Scale Preference Preference $ spent last No. Store Rankings Ratings 3 months 1-7 11-17 7 79 5 15 0 1. Lord & Taylor 2 25 7 17 200 2. Macy’s 8 82 4 14 0 3. Kmart 3 30 6 16 100 4. Rich’s 1 10 7 17 250 5. J.C. Penney 5 53 5 15 35 6. Neiman Marcus 9 95 4 14 0 7. Target 6 61 5 15 100 8. Saks Fifth Avenue 4 45 6 16 0 9. Sears 10 115 2 12 10 10.Wal-Mart
  • 10. Primary Scales of Measurement 8-10 Ordinal Scale  A ranking scale in which numbers are assigned to objects to indicate the relative extent to which the objects possess some characteristic.  Can determine whether an object has more or less of a characteristic than some other object, but not how much more or less.  Any series of numbers can be assigned that preserves the ordered relationships between the objects.  In addition to the counting operation allowable for nominal scale data, ordinal scales permit the use of statistics based on centiles, e.g., percentile, quartile, median.
  • 11. Primary Scales of Measurement 8-11 Interval Scale  Numerically equal distances on the scale represent equal values in the characteristic being measured.  It permits comparison of the differences between objects.  The location of the zero point is not fixed. Both the zero point and the units of measurement are arbitrary.  Any positive linear transformation of the form y = a + bx will preserve the properties of the scale.  It is meaningful to take ratios of scale values.  Statistical techniques that may be used include all of those that can be applied to nominal and ordinal data, and in addition the arithmetic mean, standard deviation, and other statistics commonly used in marketing research.
  • 12. Primary Scales of Measurement 8-12 Ratio Scale  Possesses all the properties of the nominal, ordinal, and interval scales.  It has an absolute zero point.  It is meaningful to compute ratios of scale values.  Only proportionate transformations of the form y = bx, where b is a positive constant, are allowed.  All statistical techniques can be applied to ratio data.
  • 13. 8-13 Primary Scales of Measurement Table 8.1 Scale Basic Common Marketing Permissible Statistics Characteristics Examples Examples Descriptive Inferential Nominal Numbers identify Social Security Brand nos., store Percentages, Chi-square, & classify objects nos., numbering types mode binomial test of football players Ordinal Nos. indicate the Quality rankings, Preference Percentile, Rank-order relative positions rankings of teams rankings, market median correlation, of objects but not in a tournament position, social Friedman the magnitude of class ANOVA differences between them Interval Differences Temperature Attitudes, Range, mean, Product- between objects (Fahrenheit) opinions, index standard moment Ratio Zero point is fixed, Length, weight Age, sales, Geometric Coefficient of ratios of scale income, costs mean, harmonic variation values can be mean compared
  • 14. A Classification of Scaling 8-14 Techniques Figure 8.2 Scaling Techniques Comparative Noncomparative Scales Scales Paired Rank Constant Q-Sort and Continuous Itemized Comparison Order Sum Other Rating Scales Rating Procedures Scales Semantic Stapel Likert Differential
  • 15. 8-15 A Comparison of Scaling Techniques  Comparative scales involve the direct comparison of stimulus objects. Comparative scale data must be interpreted in relative terms and have only ordinal or rank order properties.    In noncomparative scales , each object is scaled independently of the others in the stimulus set. The resulting data are generally assumed to be interval or ratio scaled.
  • 16. 8-16 Relative Advantages of Comparative Scales  Small differences between stimulus objects can be detected.  Same known reference points for all respondents.  Easily understood and can be applied.  Involve fewer theoretical assumptions.  Tend to reduce halo or carryover effects from one judgment to another.
  • 17. Relative Disadvantages of Comparative 8-17 Scales  Ordinal nature of the data  Inability to generalize beyond the stimulus objects scaled.
  • 18. Comparative Scaling Techniques 8-18 Paired Comparison Scaling  A respondent is presented with two objects and asked to select one according to some criterion.  The data obtained are ordinal in nature.  Paired comparison scaling is the most widely used comparative scaling technique.  With n brands, [n(n - 1) /2] paired comparisons are required  Under the assumption of transitivity, it is possible to convert paired comparison data to a rank order.
  • 19. Obtaining Shampoo Preferences 8-19 Using Paired Comparisons Figure 8.3 Instructions: We are going to present you with ten pairs of shampoo brands. For each pair, please indicate which one of the two brands of shampoo you would prefer for personal use. Jhirmack Finesse Vidal Head & Pert Sassoon Shoulders Recording Form: Jhirmack 0 0 1 0 Finesse 1a 0 1 0 Vidal Sassoon 1 1 1 1 Head & Shoulders 0 0 0 0 Pert 1 1 0 1 Number of Times 3 2 0 4 1 Preferredb a A 1 in a particular box means that the brand in that column was preferred over the brand in the corresponding row. A 0 means that the row brand was preferred over the column brand. b The number of times a brand was preferred is obtained by summing the 1s in each column.
  • 20. 8-20 Paired Comparison Selling The most common method of taste testing is paired comparison. The consumer is asked to sample two different products and select the one with the most appealing taste. The test is done in private and a minimum of 1,000 responses is considered an adequate sample. A blind taste test for a soft drink, where imagery, self-perception and brand reputation are very important factors in the consumer’s purchasing decision, may not be a good indicator of performance in the marketplace. The introduction of New Coke illustrates this point. New Coke was heavily favored in blind paired comparison taste tests, but its introduction was less than successful, because image plays a major role in the purchase of Coke. A paired comparison taste test
  • 21. Comparative Scaling Techniques 8-21 Rank Order Scaling  Respondents are presented with several objects simultaneously and asked to order or rank them according to some criterion.  It is possible that the respondent may dislike the brand ranked 1 in an absolute sense.  Furthermore, rank order scaling also results in ordinal data.  Only (n - 1) scaling decisions need be made in rank order scaling.
  • 22. Preference for Toothpaste Brands 8-22 Using Rank Order Scaling Figure 8.4 Instructions: Rank the various brands of toothpaste in order of preference. Begin by picking out the one brand that you like most and assign it a number 1. Then find the second most preferred brand and assign it a number 2. Continue this procedure until you have ranked all the brands of toothpaste in order of preference. The least preferred brand should be assigned a rank of 10. No two brands should receive the same rank number. The criterion of preference is entirely up to you. There is no right or wrong answer. Just try to be consistent.
  • 23. Preference for Toothpaste Brands 8-23 Using Rank Order Scaling Figure 8.4 cont. Form Brand Rank Order 1. Crest _________ 2. Colgate _________ 3. Aim _________ 4. Gleem _________ 5. Macleans _________ 6. Ultra Brite _________ 7. Close Up _________ 8. Pepsodent _________ 9. Plus White _________ 10. Stripe _________
  • 24. Comparative Scaling Techniques 8-24 Constant Sum Scaling  Respondents allocate a constant sum of units, such as 100 points to attributes of a product to reflect their importance.  If an attribute is unimportant, the respondent assigns it zero points.  If an attribute is twice as important as some other attribute, it receives twice as many points.  The sum of all the points is 100. Hence, the name of the scale.
  • 25. Importance of Bathing Soap Attributes 8-25 Using a Constant Sum Scale Figure 8.5 Instructions On the next slide, there are eight attributes of bathing soaps. Please allocate 100 points among the attributes so that your allocation reflects the relative importance you attach to each attribute. The more points an attribute receives, the more important the attribute is. If an attribute is not at all important, assign it zero points. If an attribute is twice as important as some other attribute, it should receive twice as many points.
  • 26. Importance of Bathing Soap Attributes 8-26 Using a Constant Sum Scale Figure 8.5 cont. Form Average Responses of Three Segments Attribute Segment I Segment II 8 Segment III 2 4 1. Mildness 2 4 17 2. Lather 3 9 7 3. Shrinkage 53 17 9 4. Price 9 0 19 5. Fragrance 7 5 9 6. Packaging 5 3 20 7. Moisturizing 13 60 15 Sum 8. Cleaning Power 100 100 100