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Measurement & Scaling
III B.Com Computer Application And Finance
Measurement
 Production No.of shifts, overtime, total worth of stock of materials…
 Marketing  Customers, salesmen, brand loyalty …
 Finance Investment plan, lending rate, credit period …
 Personnel Hiring/firing, training programs, promotion, incentive
schemes …
- Systematic way of assigning numbers or names to objects and their
attributes according to some specified rules.
Easy Convert variable into Quantitative variable => Measured with
standard units/scales
Ex: Height,weight etc.
- Study male to female attendance ratio of a show
Difficult  Qualitative/Abstract data [Qualitative Attitude, Perception,
preferences etc. Abstract  Brand image, leadership style etc. ]
Scaling
 Extension of measurement
“The procedure for the assignment of numbers to a property of objects in
order to impart some of the characteristics of numbers to the properties in
question.”
1. Judgement 2. Questionnaire
Classification of measurement scales:
1) Nominal
2) Ordinal
3) Interval
4) Ratio
Nominal Scales
 Categorical scale
 Assigning number symbols to events for identification. Ex: Numbers on
jerseys, Registration number
 Convenient way of keeping track of people, objects & events
 Least powerful
 No order, distance relationship
 Used in surveys
 Mode, Chi-square test
 Ex: What is your PAN card number?
Ordinal Scale
 Ranking Scale – Used for ranking in most market research studies
Ex: consumer preferences, perception etc.
 Places events in order
 Greater than or less than
 Real distance between adjacent values may not be equal
 Mode, median, Percentile & quartile measures, Correlation(some extend),
non-parametric tests
Interval Scales
 Cardinal level of measurement
 Have properties of order and distance
 Intervals are adjusted in terms of some rule that has been established as a
basis for making the units equal
 Standard units  equal distance
 Addition & substraction
 Mean, Standard deviation, Correlation, T test, F test
Ratio Scale
 Highest measurement scale
 Attitude measurement- general use
 All form of arithmetic operations
 All statistical operations can be performed
 Zero has real meaning
 Facilitates comparison. Ex: A’ typing performance is twice as good as B.
Sources of error in measurement
 Respondent Guess (Reluctance/little knowledge)
Transient factors(boredom, fatigue etc.)
 Situation  Any condition/ situation straining interview
 Measurer  Rewording & reordering questions/ behavior, style, looks /
Mechanical processing etc.
 Instrument  Wording, Printing mistakes, inadequate space for replies,
response choice omissions
 If “errors” are not eliminated/ neutralized/ dealt with  final result will be
contaminated
Instrument  Researcher – completed / Subject completed
Process of developing measurement
tools
 Concept development Major concepts to be studied (Ex: Company image)
 Specification of concept dimensions  Ex: product reputation, customer
treatment, social responsibility, corporate leadership
 Selection of indicators  For measuring specific questions, scales, or other
devices by which respondent, knowledge, opinion, expectation etc. are
measured
 More than 1 indicator  stability to scores  improves validity
 Formation of index  Combining various indicators
- Provide scale values to the responses & sum up corresponding scores
Test of sound measurement
 Test of Validity  The extend to which a test measures what we actually wish
to measure
 Content validity  Adequate coverage of topic under study, Representative
sample of universe, Judgemental and intuitive – panel of experts
 Criterion related validity refers to [usefulness of a test in ..]
Predictive validity – ..predicting some future performance
Concurrent validity – ..Closely relating to other measures
- Criterion must possess relevance, freedom from bias, reliability, availability
 Construct validity- Assessment of suitability of measurement tool to measure
the phenomenon – panel of experts
 Test of reliability  Consistent results, accuracy and precision of a
measurement procedure
 Valid instrument is always reliable but reliable instrument is not valid
 Reliable  No interference of transient & situational factors
 2 aspects 
1) Stability  Consistent result Repeated measurements, same person,
same instrument
2) Equivalence  How much error can get introduced by different
investigators or different samples of the items being studied
Improve reliability :
(a)Standardising conditions
(b)Carefully designed directions, trained investigators, broadening
samples
 Test of Practicality
 Economy
Budget, length of measuring instrument, data collection methods
 Convenience
Easy to administer proper layout
 Interpretable
Instructions during test, scoring keys, guides for using test & interpreting result etc.
Features of a good measurement tool/instrument:
Validity, measurability, reliability, unidimensionality, linearity, practicability, accuracy
Appropriateness of scales:
 Full knowledge of population/universe
 Factors – logically related & continued measurement  measurable/scalable
Scale construction techniques
 Statements must elicit responses which are psychologically related to the
attitude being measured
 Statements need be such that they discriminate not merely between
extremes of attitude but also among individuals who differ slightly
- Trying to measure “expressed” opinion and draw inferences from about real
feelings and attitudes
Construction of Scales : 5 approaches
I. Arbitrary approach:
- Develops on adhoc basis
- Statements(unmistakable & suitable) based on topic  select some  Makes scales
- “+”  Easy, inexpensive
- “-”  Statements can’t be generalized, Not clear to respondent’ logic
II. Consensus approach:
- Statements selected by panel of judges
- Statements Topic, meaningful& clear, Level of attitude
- Attitude studies  Differential scale (L.L.Thurstone)
III. Item analysis approach:
- Statistical technique for selecting / rejecting items of the test based on
difficulty value and discriminating power
- To select appropriate items, modification of items, difficulty value? ,
Discriminating power (capable & less capable respondents)
- Order of questions  easy to difficult
- Summated scale(Likert scale)
IV. Cumulative scale approach:
- Respondents given a set of questions(Yes/ No)
- Cumulative scale (Guttmann scale)
1. Would you read the advertisement for admission fully?
2. Would you buy application from the institution after reading its ad for
admission?
3. Would you submit the filled – in application to the institution?
4. Would you sit for the written test of the institution?...
V. Factor analysis approach
- To measure human perceptions and preferences towards some stimuli(objects),
like products, organisations, places, events, brands etc., and position them in a
perceptual place
- Semantic differential scale & multi dimensional scaling
- Not widely used
-
Scaling techniques
1.Rating scales 2.Ranking scales
 Dichotomous scale  Paired comparison
 Category scale  Comparative scale
 Likert scale  Forced choice
 Semantic scale
 Numerical scale
 Itemised rating scale
 Graphic rating scale
 Fixed/constant scale
Rating  Judging an object against a specified criteria
Ranking  Relative judgements against other similar objects
 Dichotomous scale
- Question has only 2 possible responses  Yes/No, True/False, Agree/Disagree
- Nominal scale
- Ex: I enjoy eating pizza at Dominos
--- True ---False
Do you like eating pizza at Dominos?
--- Yes ---No
 Category scale
- Question has multiple possible responses to select single responses
- Nominal scale
- Ex: Which is your preferred brand in baby clothing?
Toffyhouse--- Babyhug--- Carters --- Mark&Mia--- Yellowduck --- Others---
 Likert scale
- Rensis Likert – Summated scale
- Attitude measurement
- 5 point scale [6/7/8 point are Likert type scales]
- Ex:
-2 -1 0 +1 +2
- Single item(direct question) or Multiple item (indirect question)
- Steps in construction
- Merits & demerits
 Semantic scale
- Use of words in scale – Bipolar attributes
- Attitudinal scale
- Good Bad
Etremely Quite Slightly Neither Slightly Quite Extremely
TV advertisement is
monotonous
Strongly
Disagree
Disagree Neither
Agree nor
diagree
Agree Strongly agree
- Semantic differential scale 7 point bipolar – To measure intensity of judgement –
Use of adjectives (two end terms ONLY)
 Numerical scale
- Similar to semantic diff. scale
- use adjectives – Bipolar with numbers in between
- Useful Useless
5 4 3 2 1
 Itemised rating scale
- Presents a series of statements(ordered progressively) from which respondent selects
one as best reflecting his evaluation
- Numbers and/or brief descriptions associated with each category(Ref. text)
- Ex: How well Mr. Jai get along with his fellow workers?
He is almost always involved in some friction with a fellow worker
He is often at odds with one or more of his fellow workers
He sometimes gets involved in friction
He infrequently becomes involved in friction with others
He almost never gets involved in friction with fellow workers
 Graphic rating scale
- Various points are put along the line to form a continuum and the rater indicates
his rating by simply making a mark ( ) at the appropriate point on a line that runs
from one extreme to the other
- Ex: How do you like the product?
Like very much Like some what Neutral Dislike some what Dislike very much
 Fixed/constant scale
- Distribute points across various items
- Ex: Distribute the total points among the various attributes of Pears soap
Colour
Smell
Size
Shape
Quality of
foam
Total points 100
 Paired comparison
- Comparative judgement
- No.Of pairs = n(n-1)/2 [Statement 5; 5(5-1)/2=(5*4)/2=10 pairs]
 Comparative scale
- Ordinal/rank order properties
- Direct comparison
- Brand, product or feature against another
 Forced choice
- Ex: Given 10 brands. Rank first three
- Careless responses

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1.measurement&scaling b.com

  • 1. Measurement & Scaling III B.Com Computer Application And Finance
  • 2. Measurement  Production No.of shifts, overtime, total worth of stock of materials…  Marketing  Customers, salesmen, brand loyalty …  Finance Investment plan, lending rate, credit period …  Personnel Hiring/firing, training programs, promotion, incentive schemes … - Systematic way of assigning numbers or names to objects and their attributes according to some specified rules. Easy Convert variable into Quantitative variable => Measured with standard units/scales Ex: Height,weight etc. - Study male to female attendance ratio of a show Difficult  Qualitative/Abstract data [Qualitative Attitude, Perception, preferences etc. Abstract  Brand image, leadership style etc. ]
  • 3. Scaling  Extension of measurement “The procedure for the assignment of numbers to a property of objects in order to impart some of the characteristics of numbers to the properties in question.” 1. Judgement 2. Questionnaire Classification of measurement scales: 1) Nominal 2) Ordinal 3) Interval 4) Ratio
  • 4. Nominal Scales  Categorical scale  Assigning number symbols to events for identification. Ex: Numbers on jerseys, Registration number  Convenient way of keeping track of people, objects & events  Least powerful  No order, distance relationship  Used in surveys  Mode, Chi-square test  Ex: What is your PAN card number?
  • 5. Ordinal Scale  Ranking Scale – Used for ranking in most market research studies Ex: consumer preferences, perception etc.  Places events in order  Greater than or less than  Real distance between adjacent values may not be equal  Mode, median, Percentile & quartile measures, Correlation(some extend), non-parametric tests
  • 6. Interval Scales  Cardinal level of measurement  Have properties of order and distance  Intervals are adjusted in terms of some rule that has been established as a basis for making the units equal  Standard units  equal distance  Addition & substraction  Mean, Standard deviation, Correlation, T test, F test
  • 7. Ratio Scale  Highest measurement scale  Attitude measurement- general use  All form of arithmetic operations  All statistical operations can be performed  Zero has real meaning  Facilitates comparison. Ex: A’ typing performance is twice as good as B.
  • 8. Sources of error in measurement  Respondent Guess (Reluctance/little knowledge) Transient factors(boredom, fatigue etc.)  Situation  Any condition/ situation straining interview  Measurer  Rewording & reordering questions/ behavior, style, looks / Mechanical processing etc.  Instrument  Wording, Printing mistakes, inadequate space for replies, response choice omissions  If “errors” are not eliminated/ neutralized/ dealt with  final result will be contaminated Instrument  Researcher – completed / Subject completed
  • 9. Process of developing measurement tools  Concept development Major concepts to be studied (Ex: Company image)  Specification of concept dimensions  Ex: product reputation, customer treatment, social responsibility, corporate leadership  Selection of indicators  For measuring specific questions, scales, or other devices by which respondent, knowledge, opinion, expectation etc. are measured  More than 1 indicator  stability to scores  improves validity  Formation of index  Combining various indicators - Provide scale values to the responses & sum up corresponding scores
  • 10. Test of sound measurement  Test of Validity  The extend to which a test measures what we actually wish to measure  Content validity  Adequate coverage of topic under study, Representative sample of universe, Judgemental and intuitive – panel of experts  Criterion related validity refers to [usefulness of a test in ..] Predictive validity – ..predicting some future performance Concurrent validity – ..Closely relating to other measures - Criterion must possess relevance, freedom from bias, reliability, availability  Construct validity- Assessment of suitability of measurement tool to measure the phenomenon – panel of experts
  • 11.  Test of reliability  Consistent results, accuracy and precision of a measurement procedure  Valid instrument is always reliable but reliable instrument is not valid  Reliable  No interference of transient & situational factors  2 aspects  1) Stability  Consistent result Repeated measurements, same person, same instrument 2) Equivalence  How much error can get introduced by different investigators or different samples of the items being studied Improve reliability : (a)Standardising conditions (b)Carefully designed directions, trained investigators, broadening samples
  • 12.  Test of Practicality  Economy Budget, length of measuring instrument, data collection methods  Convenience Easy to administer proper layout  Interpretable Instructions during test, scoring keys, guides for using test & interpreting result etc. Features of a good measurement tool/instrument: Validity, measurability, reliability, unidimensionality, linearity, practicability, accuracy Appropriateness of scales:  Full knowledge of population/universe  Factors – logically related & continued measurement  measurable/scalable
  • 13. Scale construction techniques  Statements must elicit responses which are psychologically related to the attitude being measured  Statements need be such that they discriminate not merely between extremes of attitude but also among individuals who differ slightly - Trying to measure “expressed” opinion and draw inferences from about real feelings and attitudes
  • 14. Construction of Scales : 5 approaches I. Arbitrary approach: - Develops on adhoc basis - Statements(unmistakable & suitable) based on topic  select some  Makes scales - “+”  Easy, inexpensive - “-”  Statements can’t be generalized, Not clear to respondent’ logic II. Consensus approach: - Statements selected by panel of judges - Statements Topic, meaningful& clear, Level of attitude - Attitude studies  Differential scale (L.L.Thurstone)
  • 15. III. Item analysis approach: - Statistical technique for selecting / rejecting items of the test based on difficulty value and discriminating power - To select appropriate items, modification of items, difficulty value? , Discriminating power (capable & less capable respondents) - Order of questions  easy to difficult - Summated scale(Likert scale) IV. Cumulative scale approach: - Respondents given a set of questions(Yes/ No) - Cumulative scale (Guttmann scale) 1. Would you read the advertisement for admission fully? 2. Would you buy application from the institution after reading its ad for admission? 3. Would you submit the filled – in application to the institution? 4. Would you sit for the written test of the institution?...
  • 16. V. Factor analysis approach - To measure human perceptions and preferences towards some stimuli(objects), like products, organisations, places, events, brands etc., and position them in a perceptual place - Semantic differential scale & multi dimensional scaling - Not widely used -
  • 17. Scaling techniques 1.Rating scales 2.Ranking scales  Dichotomous scale  Paired comparison  Category scale  Comparative scale  Likert scale  Forced choice  Semantic scale  Numerical scale  Itemised rating scale  Graphic rating scale  Fixed/constant scale Rating  Judging an object against a specified criteria Ranking  Relative judgements against other similar objects
  • 18.  Dichotomous scale - Question has only 2 possible responses  Yes/No, True/False, Agree/Disagree - Nominal scale - Ex: I enjoy eating pizza at Dominos --- True ---False Do you like eating pizza at Dominos? --- Yes ---No  Category scale - Question has multiple possible responses to select single responses - Nominal scale - Ex: Which is your preferred brand in baby clothing? Toffyhouse--- Babyhug--- Carters --- Mark&Mia--- Yellowduck --- Others---
  • 19.  Likert scale - Rensis Likert – Summated scale - Attitude measurement - 5 point scale [6/7/8 point are Likert type scales] - Ex: -2 -1 0 +1 +2 - Single item(direct question) or Multiple item (indirect question) - Steps in construction - Merits & demerits  Semantic scale - Use of words in scale – Bipolar attributes - Attitudinal scale - Good Bad Etremely Quite Slightly Neither Slightly Quite Extremely TV advertisement is monotonous Strongly Disagree Disagree Neither Agree nor diagree Agree Strongly agree
  • 20. - Semantic differential scale 7 point bipolar – To measure intensity of judgement – Use of adjectives (two end terms ONLY)  Numerical scale - Similar to semantic diff. scale - use adjectives – Bipolar with numbers in between - Useful Useless 5 4 3 2 1  Itemised rating scale - Presents a series of statements(ordered progressively) from which respondent selects one as best reflecting his evaluation - Numbers and/or brief descriptions associated with each category(Ref. text) - Ex: How well Mr. Jai get along with his fellow workers? He is almost always involved in some friction with a fellow worker He is often at odds with one or more of his fellow workers He sometimes gets involved in friction He infrequently becomes involved in friction with others He almost never gets involved in friction with fellow workers
  • 21.  Graphic rating scale - Various points are put along the line to form a continuum and the rater indicates his rating by simply making a mark ( ) at the appropriate point on a line that runs from one extreme to the other - Ex: How do you like the product? Like very much Like some what Neutral Dislike some what Dislike very much  Fixed/constant scale - Distribute points across various items - Ex: Distribute the total points among the various attributes of Pears soap Colour Smell Size Shape Quality of foam Total points 100
  • 22.  Paired comparison - Comparative judgement - No.Of pairs = n(n-1)/2 [Statement 5; 5(5-1)/2=(5*4)/2=10 pairs]  Comparative scale - Ordinal/rank order properties - Direct comparison - Brand, product or feature against another  Forced choice - Ex: Given 10 brands. Rank first three - Careless responses