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ASSIGNMENT ON BUSINESS RESEARCH METHODS
COMPARATIVE AND NON-COMPARATIVE SCALING TECHNIQUES
Scalingisthe processof measuringororderingentitieswithrespecttoquantitativeattributesortraits.
For example,ascalingtechnique mightinvolve estimatingindividuals’levelsof extraversion,orthe
perceivedqualityof products.Certainmethodsof scalingpermitestimationof magnitudesona
continuum,whileothermethodsprovideonlyforrelativeorderingof the entities.
COMPARATIVE AND NON-COMPARATIVESCALING
With comparative scaling, the items are directly compared with each other.
Example: Do you prefer Pepsi or Coke?
In non-comparative scaling, each item is scaled independently of the others.
Example: How do you feel about Coke?
DATA TYPES
The type of information collected can influence scale construction. Different types of information
are measured in different ways.
1. Some data are measured at the nominal level. That is, any numbers used are mere
labels. They express no mathematical properties. Examples are SKU inventory codes
and UPC bar codes.
2. Some data are measured at the ordinal level. Numbers indicate the relative position of
items, but not the magnitude of difference. An example is a preference ranking.
3. Some data are measured at the interval level. Numbers indicate the magnitude of
difference between items, but there is no absolute zero point. Examples are attitude
scales and opinion scales.
4. Some data are measured at the ratio level. Numbers indicate magnitude of difference
and there is a fixed zero point. Ratios can be calculated. Examples include: age,
income, price, costs, sales revenue, sales volume, and market share.
COMPARATIVESCALING TECHNIQUES
 Pair wise comparison scale – A respondent is presented with two items at a time and
asked to select one.
Example: Do you prefer Pepsi or Coke?
This is an ordinal level technique when a measurement model is not applied. Krus and
Kennedy elaborated the paired comparison scaling within their domain-referenced model.
The Bradley–Terry–Luce (BTL) model can be applied in order to derive measurements
provided the data derived from paired comparisons possess an appropriate structure.
Thurstone's Law of comparative judgment can also be applied in such contexts.
 Rasch model scaling – Respondents interact with items and comparisons are inferred
between items from the responses to obtain scale values. Respondents are subsequently
scaled based on their responses to items given the item scale values. The Rasch model has
a close relation to the BTL model.
 Rank-ordering – A respondent is presented with several items simultaneously and asked to
rank them.
Example: Rate the following advertisements from 1 to 10.
This is an ordinal level technique.
 Bogardus social distance scale – Measures the degree to which a person is willing to
associate with a class or type of people. It asks how willing the respondent is to make
various associations. The results are reduced to a single score on a scale. There are also
non-comparative versions of this scale.
 Q-Sort – Up to 140 items are sorted into groups based on rank-order procedure.
 Guttman scale – This is a procedure to determine whether a set of items can be rank-
ordered on a one-dimensional scale. It utilizes the intensity structure among several
indicators of a given variable. Statements are listed in order of importance. The rating is
scaled by summing all responses until the first negative response in the list. The Guttman
scale is related to Rasch measurement; specifically, Rasch models bring the Guttman
approach within a probabilistic framework.
 Constant sum scale – A respondent is given a constant sum of money, script, credits, or
points and asked to allocate these to various items.
Example: If you had 100 Yen to spend on food products, how much would you spend on
product A, on product B, on product C, etc. This is an ordinal level technique.
 Magnitude estimation scale – In a psychophysics procedure invented by S. S.
Stevens people simply assign numbers to the dimension of judgment. The geometric mean
of those numbers usually produces a power law with a characteristic exponent. In cross-
modality matching instead of assigning numbers, people manipulate another dimension,
such as loudness or brightness to match the items. Typically, the exponent of the
psychometric function can be predicted from the magnitude estimation exponents of each
dimension.
NON-COMPARATIVESCALING TECHNIQUES
 Visual analogue scale (also called the Continuous rating scale and the graphic rating
scale) – Respondents rate items by placing a mark on a line. The line is usually labeled at
each end. There are sometimes a series of numbers, called scale points, (say, from zero to
100) under the line. Scoring and codification is difficult for paper-and-pencil scales, but not
for computerized and Internet-based visual analogue scales.
 Likert scale – Respondents are asked to indicate the amount of agreement or
disagreement (from strongly agree to strongly disagree) on a five- to nine-point response
scale (not to be confused with a Likert scale). The same format is used for multiple
questions. It is the combination of these questions that forms the Likert scale. This
categorical scaling procedure can easily be extended to a magnitude estimation procedure
that uses the full scale of numbers rather than verbal categories.
 Phrase completion scales – Respondents are asked to complete a phrase on an 11-point
response scale in which 0 represents the absence of the theoretical construct and 10
represents the theorized maximum amount of the construct being measured. The same
basic format is used for multiple questions.
 Semantic differential scale – Respondents are asked to rate on a 7-point scale an item on
various attributes. Each attribute requires a scale with bipolar terminal labels.
 Stapel scale – This is a unipolar ten-point rating scale. It ranges from +5 to −5 and has no
neutral zero point.
 Thurstone scale – This is a scaling technique that incorporates the intensity structure
among indicators.
 Mathematically derived scale – Researchers infer respondents’ evaluations
mathematically. Two examples are multi dimensional scaling and conjoint analysis.
CONCLUSION
Scales should be tested for reliability, generalizability, and validity. Generalizability is the ability
to make inferences from a sample to the population, given the scale you have selected.
Reliability is the extent to which a scale will produce consistent results. Test-retest reliability
checks how similar the results are if the research is repeated under similar circumstances.
Alternative forms reliability checks how similar the results are if the research is repeated using
different forms of the scale. Internal consistency reliability checks how well the individual
measures included in the scale are converted into a composite measure.
Scales and indexes have to be validated. Internal validation checks the relation between the
individual measures included in the scale, and the composite scale itself. External validation
checks the relation between the composite scale and other indicators of the variable, indicators
not included in the scale. Content validation (also called face validity) checks how well the scale
measures what is supposed to be measured. Criterion validation checks how meaningful the
scale criteria are relative to other possible criteria. Construct validation checks what underlying
construct is being measured. There are three variants of construct validity. They are convergent
validity, discriminant validity, and nomological validity. The coefficient of reproducibility indicates
how well the data from the individual measures included in the scale can be reconstructed from
the composite scale.

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Comparative and Non-Comparative Scaling Techniques

  • 1. ASSIGNMENT ON BUSINESS RESEARCH METHODS COMPARATIVE AND NON-COMPARATIVE SCALING TECHNIQUES Scalingisthe processof measuringororderingentitieswithrespecttoquantitativeattributesortraits. For example,ascalingtechnique mightinvolve estimatingindividuals’levelsof extraversion,orthe perceivedqualityof products.Certainmethodsof scalingpermitestimationof magnitudesona continuum,whileothermethodsprovideonlyforrelativeorderingof the entities. COMPARATIVE AND NON-COMPARATIVESCALING With comparative scaling, the items are directly compared with each other. Example: Do you prefer Pepsi or Coke? In non-comparative scaling, each item is scaled independently of the others. Example: How do you feel about Coke? DATA TYPES The type of information collected can influence scale construction. Different types of information are measured in different ways. 1. Some data are measured at the nominal level. That is, any numbers used are mere labels. They express no mathematical properties. Examples are SKU inventory codes and UPC bar codes. 2. Some data are measured at the ordinal level. Numbers indicate the relative position of items, but not the magnitude of difference. An example is a preference ranking. 3. Some data are measured at the interval level. Numbers indicate the magnitude of difference between items, but there is no absolute zero point. Examples are attitude scales and opinion scales. 4. Some data are measured at the ratio level. Numbers indicate magnitude of difference and there is a fixed zero point. Ratios can be calculated. Examples include: age, income, price, costs, sales revenue, sales volume, and market share.
  • 2. COMPARATIVESCALING TECHNIQUES  Pair wise comparison scale – A respondent is presented with two items at a time and asked to select one. Example: Do you prefer Pepsi or Coke? This is an ordinal level technique when a measurement model is not applied. Krus and Kennedy elaborated the paired comparison scaling within their domain-referenced model. The Bradley–Terry–Luce (BTL) model can be applied in order to derive measurements provided the data derived from paired comparisons possess an appropriate structure. Thurstone's Law of comparative judgment can also be applied in such contexts.  Rasch model scaling – Respondents interact with items and comparisons are inferred between items from the responses to obtain scale values. Respondents are subsequently scaled based on their responses to items given the item scale values. The Rasch model has a close relation to the BTL model.  Rank-ordering – A respondent is presented with several items simultaneously and asked to rank them. Example: Rate the following advertisements from 1 to 10. This is an ordinal level technique.  Bogardus social distance scale – Measures the degree to which a person is willing to associate with a class or type of people. It asks how willing the respondent is to make various associations. The results are reduced to a single score on a scale. There are also non-comparative versions of this scale.  Q-Sort – Up to 140 items are sorted into groups based on rank-order procedure.  Guttman scale – This is a procedure to determine whether a set of items can be rank- ordered on a one-dimensional scale. It utilizes the intensity structure among several indicators of a given variable. Statements are listed in order of importance. The rating is scaled by summing all responses until the first negative response in the list. The Guttman scale is related to Rasch measurement; specifically, Rasch models bring the Guttman approach within a probabilistic framework.
  • 3.  Constant sum scale – A respondent is given a constant sum of money, script, credits, or points and asked to allocate these to various items. Example: If you had 100 Yen to spend on food products, how much would you spend on product A, on product B, on product C, etc. This is an ordinal level technique.  Magnitude estimation scale – In a psychophysics procedure invented by S. S. Stevens people simply assign numbers to the dimension of judgment. The geometric mean of those numbers usually produces a power law with a characteristic exponent. In cross- modality matching instead of assigning numbers, people manipulate another dimension, such as loudness or brightness to match the items. Typically, the exponent of the psychometric function can be predicted from the magnitude estimation exponents of each dimension. NON-COMPARATIVESCALING TECHNIQUES  Visual analogue scale (also called the Continuous rating scale and the graphic rating scale) – Respondents rate items by placing a mark on a line. The line is usually labeled at each end. There are sometimes a series of numbers, called scale points, (say, from zero to 100) under the line. Scoring and codification is difficult for paper-and-pencil scales, but not for computerized and Internet-based visual analogue scales.  Likert scale – Respondents are asked to indicate the amount of agreement or disagreement (from strongly agree to strongly disagree) on a five- to nine-point response scale (not to be confused with a Likert scale). The same format is used for multiple questions. It is the combination of these questions that forms the Likert scale. This categorical scaling procedure can easily be extended to a magnitude estimation procedure that uses the full scale of numbers rather than verbal categories.  Phrase completion scales – Respondents are asked to complete a phrase on an 11-point response scale in which 0 represents the absence of the theoretical construct and 10 represents the theorized maximum amount of the construct being measured. The same basic format is used for multiple questions.  Semantic differential scale – Respondents are asked to rate on a 7-point scale an item on various attributes. Each attribute requires a scale with bipolar terminal labels.
  • 4.  Stapel scale – This is a unipolar ten-point rating scale. It ranges from +5 to −5 and has no neutral zero point.  Thurstone scale – This is a scaling technique that incorporates the intensity structure among indicators.  Mathematically derived scale – Researchers infer respondents’ evaluations mathematically. Two examples are multi dimensional scaling and conjoint analysis.
  • 5. CONCLUSION Scales should be tested for reliability, generalizability, and validity. Generalizability is the ability to make inferences from a sample to the population, given the scale you have selected. Reliability is the extent to which a scale will produce consistent results. Test-retest reliability checks how similar the results are if the research is repeated under similar circumstances. Alternative forms reliability checks how similar the results are if the research is repeated using different forms of the scale. Internal consistency reliability checks how well the individual measures included in the scale are converted into a composite measure. Scales and indexes have to be validated. Internal validation checks the relation between the individual measures included in the scale, and the composite scale itself. External validation checks the relation between the composite scale and other indicators of the variable, indicators not included in the scale. Content validation (also called face validity) checks how well the scale measures what is supposed to be measured. Criterion validation checks how meaningful the scale criteria are relative to other possible criteria. Construct validation checks what underlying construct is being measured. There are three variants of construct validity. They are convergent validity, discriminant validity, and nomological validity. The coefficient of reproducibility indicates how well the data from the individual measures included in the scale can be reconstructed from the composite scale.