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Business
Research
Methods
Scaling
Hello!
Prepared by
Rajakrishnan M
Assistant Professor in Commerce CA
Dr. N.G.P. Arts and Science College
Coimbatore
2
Scaling
Letā€™s startā€¦
1
ā€œ
ā€
Scales of measurement in
research and statistics are the
different ways in which variables
are defined and grouped into
different categories.
4
ā€œ
ā€
Sometimes called the level of measurement, it
describes the nature of the values assigned to the
variables in a data set.
5
Classification of
measurement scales
ļ± Nominal scale
ļ± Ordinal scale
ļ± Interval scale
ļ± Ratio scale
6
Nominal scale is
simply a system of
assigning number
symbols to events in
order to label them.
Nominal scale
The usual example of
this is the assignment
of numbers of
basketball players in
order to identify
them.
7
8
Nominal scale
Examples of nominal variables include:
genotype, blood type, zip code, gender,
race, eye color, political party
9
Nominal scale
10
Ordinal scale
The lowest level of the ordered scale that is
commonly used is the ordinal scale.
The ordinal scale places events in order, but there
is no attempt to make the intervals of the scale
equal in terms of some rule.
11
Ordinal scale
The use of an ordinal scale implies a statement of
ā€˜greater thanā€™ or ā€˜less thanā€™ (an equality statement
is also acceptable) without our being able to state
how much greater or less.
The real difference between ranks 1 and 2 may be
more or less than the difference between ranks 5
and 6.
12
Ordinal scale
13
Ordinal scale
Examples of ordinal variables include:
Socio economic status (ā€œlow incomeā€,ā€middle
incomeā€,ā€high incomeā€), education level (ā€œhigh
schoolā€,ā€BSā€,ā€MSā€,ā€PhDā€), income level (ā€œless
than 50Kā€, ā€œ50K-100Kā€, ā€œover 100Kā€),
satisfaction rating (ā€œextremely dislikeā€,
ā€œdislikeā€, ā€œneutralā€, ā€œlikeā€, ā€œextremely likeā€).
14
Interval scale
In the case of interval scale, the intervals are
adjusted in terms of some rule that has been
established as a basis for making the units equal.
The units are equal only in so far as one accepts
the assumptions on which the rule is based.
15
Interval scale
Interval scales provide more powerful
measurement than ordinal scales for interval
scale also incorporates the concept of equality of
interval.
As such more powerful statistical measures can
be used with interval scales.
16
Interval scale
Examples of interval variables include:
temperature (Farenheit), temperature
(Celcius), pH, SAT score (200-800), credit
score (300-850).
17
Ratio scale
Ratio scales have an absolute or true zero of
measurement. The term ā€˜absolute zeroā€™ is not
as precise as it was once believed to be.
We can conceive of an absolute zero of length
and similarly we can conceive of an absolute
zero of time.
18
Ratio scale
For example, the zero point on a centimeter
scale indicates the complete absence of length
or height.
But an absolute zero of temperature is
theoretically unobtainable and it remains a
concept existing only in the scientistā€™s mind.
19
Ratio scale
Examples of ratio variables include:
Enzyme activity, dose amount, reaction rate,
flow rate, concentration, pulse, weight, length,
temperature in Kelvin (0.0 Kelvin really does
mean ā€œno heatā€), survival time.
20
Source: QuestionPro
21
Source: QuestionPro
22
Measurement scales
Reference
ļ± Research Methodology by C.R.Kothari
Thanks!
24

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Measurement Scales

  • 2. Hello! Prepared by Rajakrishnan M Assistant Professor in Commerce CA Dr. N.G.P. Arts and Science College Coimbatore 2
  • 4. ā€œ ā€ Scales of measurement in research and statistics are the different ways in which variables are defined and grouped into different categories. 4
  • 5. ā€œ ā€ Sometimes called the level of measurement, it describes the nature of the values assigned to the variables in a data set. 5
  • 6. Classification of measurement scales ļ± Nominal scale ļ± Ordinal scale ļ± Interval scale ļ± Ratio scale 6
  • 7. Nominal scale is simply a system of assigning number symbols to events in order to label them. Nominal scale The usual example of this is the assignment of numbers of basketball players in order to identify them. 7
  • 8. 8 Nominal scale Examples of nominal variables include: genotype, blood type, zip code, gender, race, eye color, political party
  • 10. 10 Ordinal scale The lowest level of the ordered scale that is commonly used is the ordinal scale. The ordinal scale places events in order, but there is no attempt to make the intervals of the scale equal in terms of some rule.
  • 11. 11 Ordinal scale The use of an ordinal scale implies a statement of ā€˜greater thanā€™ or ā€˜less thanā€™ (an equality statement is also acceptable) without our being able to state how much greater or less. The real difference between ranks 1 and 2 may be more or less than the difference between ranks 5 and 6.
  • 13. 13 Ordinal scale Examples of ordinal variables include: Socio economic status (ā€œlow incomeā€,ā€middle incomeā€,ā€high incomeā€), education level (ā€œhigh schoolā€,ā€BSā€,ā€MSā€,ā€PhDā€), income level (ā€œless than 50Kā€, ā€œ50K-100Kā€, ā€œover 100Kā€), satisfaction rating (ā€œextremely dislikeā€, ā€œdislikeā€, ā€œneutralā€, ā€œlikeā€, ā€œextremely likeā€).
  • 14. 14 Interval scale In the case of interval scale, the intervals are adjusted in terms of some rule that has been established as a basis for making the units equal. The units are equal only in so far as one accepts the assumptions on which the rule is based.
  • 15. 15 Interval scale Interval scales provide more powerful measurement than ordinal scales for interval scale also incorporates the concept of equality of interval. As such more powerful statistical measures can be used with interval scales.
  • 16. 16 Interval scale Examples of interval variables include: temperature (Farenheit), temperature (Celcius), pH, SAT score (200-800), credit score (300-850).
  • 17. 17 Ratio scale Ratio scales have an absolute or true zero of measurement. The term ā€˜absolute zeroā€™ is not as precise as it was once believed to be. We can conceive of an absolute zero of length and similarly we can conceive of an absolute zero of time.
  • 18. 18 Ratio scale For example, the zero point on a centimeter scale indicates the complete absence of length or height. But an absolute zero of temperature is theoretically unobtainable and it remains a concept existing only in the scientistā€™s mind.
  • 19. 19 Ratio scale Examples of ratio variables include: Enzyme activity, dose amount, reaction rate, flow rate, concentration, pulse, weight, length, temperature in Kelvin (0.0 Kelvin really does mean ā€œno heatā€), survival time.