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Measurement
Scales
Concept
A generalized idea about a class
of objects, attributes, occurrences,
or processes
Operational Definition
Specifies what the researcher must
do to measure the concept under
investigation
Scale
 For Measurement ,understanding,comparision .
 Series of items arranged according to value for the purpose
of quantification,numbers,symbols etc
 A continuous spectrum
Scale characteristics
 Description/classification/label (attendendence register)
 Order or rank or > or < or = (100mtr Dash ranking)
 Distance (Age difference btw 1st brother and 2nd brother is 2 years,2nd
brother and 3rd brother is 2 years )
 Origin has a fixed beginning or true zero not assumed zero.(Income)
Types of Scale(Nominal, Ordinal, Interval,
Ratio)
Nominal Scale
Ordinal Scale
Interval Scale
Ratio Scale
Scale Properties
 Uniquely classifies
 Preserves order
 Equal intervals
 Natural zero
Nominal Scale Properties
 Uniquely classifies
 Sammy Sosa # 21
 Barry Bonds # 25
Ordinal Scale Properties
 Uniquely classifies
 Preserves order
 Win, place, & show
 IPL(Indian Premier League) standings 2017
Interval Scale Properties
 Uniquely classifies
 Preserves order
 Equal intervals
 Consumer Price Index (Base 100)
 Fahrenheit temperature
 FIFA qualifiers 3 groups =6+2(Best 2 loosing team with less
goal difference among three groups)
Ratio Scale Properties
 Uniquely classifies
 Preserves order
 Equal intervals
 Natural zero
 Weight and distance, batsman score,
 Zero base
Index Measures
 ATTRIBUTES A single characteristic or fundamental feature
that pertains to an object, person, or issue
 Measure Social class index: occupation, education and area
of residence.
 COMPOSITE MEASURE A composite measure of several
variables to measure a single concept; a multi-item
instrument: Job satisfaction of sales person
The Goal
of Measurement Validity
Validity
The ability of a scale to measure
what was intended to be
measured
Reliability
The degree to which measures are
free from random error and
therefore yield consistent results
Old Rifle New Rifle New Rifle
Sun glare
Low Reliability High Reliability Reliable but Not
Valid
(Target A) (Target B) (Target C)
Reliability and Validity on
Target
Measurement Accuracy
 Xo=Xt+Xs+Xr
 Xo-Measured value
 Xs-Systematic error( Occurs every time with same error
value)
 Xr-Random error
Scale evaluation
 Validity( Scale used should measure what is intended to be measured)
 Reliability (Internal consistency)(Student’s MCQ result and teacher
prediction of their performance in essay)
 Eg: Money counting machine and weighing machine can be used to
measure the value of money which is valid? Reliable?)
 Reliability is a necessary, but not sufficient condition for validity.
In other words, you could be inaccurately measuring something
consistently.
 Validity and then Reliability make sense
Validity
FACE OR CONTENT
CONCURRENT PREDICTIVE
CRITERION VALIDITY CONSTRUCT VALIDITY
Validity
 Face validity/ Content validity : Experts acknowledgement on the measure
Measuring customer loyalty:
1.I prefer to purchase my groceries at Kannan departmental stores
2.I am very satisfied with my purchase from Kannan store
3.Kanna store offers good value for the product
 The degree that measure covers the breath of the domain of interest but not
beyond.
Eg: Content validity of a Exam question paper
Syllabus: ch1 to ch 5
Questions in the question paper :40% from ch1 and 40 %from ch2 ,10% from ch3 and
and 10 % from ch 6.
Eg: Assessing experience of spa customer
1.Asking about service delivery(utilitarian value) doesn’t give you the exact
experience but also the pleasure and comfort (Hedonic value)
 Criterion validity/pragmatic: The ability of a measure to correlate with
other standard measure of similar constructs or established criteria.
 Judging of criterion validity :Relevence,Freedom from bias ,reliability
and availability.
 Classification: Concurrent and predictive validity
 Practical test on day 1 and theory test of same subject on day 2 ,if the
scores are same it has concurrent validity
 Team lead’s score of the employee and job performance score test of
the employee are same then team lead’s score has concurrent validity
 Capability of predicting some latter measure
This institution only admits those who are capable of scoring 80% CGPA
Eg: TNSET scorer 45/60 and CGPA in PG 80 %
Here the TANCET score has a predictive validity
 Construct Validity:A type of validity that addresses the question of what
construct or characteristic the scale is measuring.
 Classification:Convergent,Discriminent,Nomological
 If we believe customer loyalty and consistent feedback by customer are
related,then both should be moderately correlated then customers
providing feedback has convergent validity towards customer loyalty
measure.
 If the correlation is very high then it has no discriminant validity and
vise versa.
 Nomological Validity is a statistical term that refers to a "nonlogical"
necessity or a law of nature.
For example, the tendency to purchase prestige brands
should show a high correlation with a person’s need for status and
materialism and a negative correlation with price sensitivity.
 Reliability:It’s a measure of internal consistency (measure
several similar but non identical questions about the object
or characteristics).
 Test methods: Internal consistency = Split-half and
Coefficient a (Alpha),
 Test-retest, alternative forms.
 Split half: Dividing items to two half's and they should
highly correlate,how to divide two halfs?perform coefficient
alpha .
 Coefficient alpha computes all possible splithalf relaiability
for multiple item scale,and they should converge.Aplha(a)
=0 To 1if its below 0.6 poor relaiability.
 Test-retest: same test same respondents same condition at
different point of time.
 Alternative forms:Two equivalent forms of scale,same
respondents at two different time
Reliability
TEST RETEST
STABILITY
EQUIVALENT FORMS SPLITTING HALVES
INTERNAL CONSISTENCY
RELIABILITY
Sensitivity
 A measurement instrument’s ability to accurately measure
variability in stimuli or responses.

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ch13 scales.ppt

  • 2. Concept A generalized idea about a class of objects, attributes, occurrences, or processes
  • 3. Operational Definition Specifies what the researcher must do to measure the concept under investigation
  • 4. Scale  For Measurement ,understanding,comparision .  Series of items arranged according to value for the purpose of quantification,numbers,symbols etc  A continuous spectrum
  • 5. Scale characteristics  Description/classification/label (attendendence register)  Order or rank or > or < or = (100mtr Dash ranking)  Distance (Age difference btw 1st brother and 2nd brother is 2 years,2nd brother and 3rd brother is 2 years )  Origin has a fixed beginning or true zero not assumed zero.(Income)
  • 6. Types of Scale(Nominal, Ordinal, Interval, Ratio) Nominal Scale
  • 10. Scale Properties  Uniquely classifies  Preserves order  Equal intervals  Natural zero
  • 11. Nominal Scale Properties  Uniquely classifies  Sammy Sosa # 21  Barry Bonds # 25
  • 12. Ordinal Scale Properties  Uniquely classifies  Preserves order  Win, place, & show  IPL(Indian Premier League) standings 2017
  • 13. Interval Scale Properties  Uniquely classifies  Preserves order  Equal intervals  Consumer Price Index (Base 100)  Fahrenheit temperature  FIFA qualifiers 3 groups =6+2(Best 2 loosing team with less goal difference among three groups)
  • 14. Ratio Scale Properties  Uniquely classifies  Preserves order  Equal intervals  Natural zero  Weight and distance, batsman score,  Zero base
  • 15. Index Measures  ATTRIBUTES A single characteristic or fundamental feature that pertains to an object, person, or issue  Measure Social class index: occupation, education and area of residence.  COMPOSITE MEASURE A composite measure of several variables to measure a single concept; a multi-item instrument: Job satisfaction of sales person
  • 17. Validity The ability of a scale to measure what was intended to be measured
  • 18. Reliability The degree to which measures are free from random error and therefore yield consistent results
  • 19. Old Rifle New Rifle New Rifle Sun glare Low Reliability High Reliability Reliable but Not Valid (Target A) (Target B) (Target C) Reliability and Validity on Target
  • 20.
  • 21. Measurement Accuracy  Xo=Xt+Xs+Xr  Xo-Measured value  Xs-Systematic error( Occurs every time with same error value)  Xr-Random error
  • 22. Scale evaluation  Validity( Scale used should measure what is intended to be measured)  Reliability (Internal consistency)(Student’s MCQ result and teacher prediction of their performance in essay)  Eg: Money counting machine and weighing machine can be used to measure the value of money which is valid? Reliable?)  Reliability is a necessary, but not sufficient condition for validity. In other words, you could be inaccurately measuring something consistently.  Validity and then Reliability make sense
  • 23. Validity FACE OR CONTENT CONCURRENT PREDICTIVE CRITERION VALIDITY CONSTRUCT VALIDITY Validity
  • 24.  Face validity/ Content validity : Experts acknowledgement on the measure Measuring customer loyalty: 1.I prefer to purchase my groceries at Kannan departmental stores 2.I am very satisfied with my purchase from Kannan store 3.Kanna store offers good value for the product  The degree that measure covers the breath of the domain of interest but not beyond. Eg: Content validity of a Exam question paper Syllabus: ch1 to ch 5 Questions in the question paper :40% from ch1 and 40 %from ch2 ,10% from ch3 and and 10 % from ch 6. Eg: Assessing experience of spa customer 1.Asking about service delivery(utilitarian value) doesn’t give you the exact experience but also the pleasure and comfort (Hedonic value)
  • 25.  Criterion validity/pragmatic: The ability of a measure to correlate with other standard measure of similar constructs or established criteria.  Judging of criterion validity :Relevence,Freedom from bias ,reliability and availability.  Classification: Concurrent and predictive validity  Practical test on day 1 and theory test of same subject on day 2 ,if the scores are same it has concurrent validity  Team lead’s score of the employee and job performance score test of the employee are same then team lead’s score has concurrent validity  Capability of predicting some latter measure This institution only admits those who are capable of scoring 80% CGPA Eg: TNSET scorer 45/60 and CGPA in PG 80 % Here the TANCET score has a predictive validity
  • 26.  Construct Validity:A type of validity that addresses the question of what construct or characteristic the scale is measuring.  Classification:Convergent,Discriminent,Nomological  If we believe customer loyalty and consistent feedback by customer are related,then both should be moderately correlated then customers providing feedback has convergent validity towards customer loyalty measure.  If the correlation is very high then it has no discriminant validity and vise versa.  Nomological Validity is a statistical term that refers to a "nonlogical" necessity or a law of nature. For example, the tendency to purchase prestige brands should show a high correlation with a person’s need for status and materialism and a negative correlation with price sensitivity.
  • 27.  Reliability:It’s a measure of internal consistency (measure several similar but non identical questions about the object or characteristics).  Test methods: Internal consistency = Split-half and Coefficient a (Alpha),  Test-retest, alternative forms.  Split half: Dividing items to two half's and they should highly correlate,how to divide two halfs?perform coefficient alpha .  Coefficient alpha computes all possible splithalf relaiability for multiple item scale,and they should converge.Aplha(a) =0 To 1if its below 0.6 poor relaiability.  Test-retest: same test same respondents same condition at different point of time.  Alternative forms:Two equivalent forms of scale,same respondents at two different time
  • 28. Reliability TEST RETEST STABILITY EQUIVALENT FORMS SPLITTING HALVES INTERNAL CONSISTENCY RELIABILITY
  • 29. Sensitivity  A measurement instrument’s ability to accurately measure variability in stimuli or responses.