Scale of measurement

Scale of measurement
The scale determines amount of
information contained in data.
The scale indicates the data
summarization and statistical analysis that
are most appropriate.
•Nominal
•Interval
•Ordinal
•Ratio
No numerical difference between
categories.
examples:
-marital status
-gender
-state of residence
-zip code
-student id
 Ste of categories that are ordered from least to most.
 Don’t know numerical distance from each category to
next.
Example:
-miss India result
(first runner up , second
runner up)
-military rank
-letter grade in school
-degree hold
 Scale with value and there is same numerical
distance between each value.
 The data have properties of Ordinal data and
the interval between observation is expressed
in terms of a fixed unit of measure.
 They are always numeric.
 We can subtract and add but cant multiply
and divide.
 Example
 Temperatures
 Speedo meter
 When it comes to measurement scale Ratio
scale tells us about the order.
 They tell us exact value between units and
they also have an absolute zero – which
allows for a wide range of both descriptive
and inferential statistic to be applied.
 These variable can be meaningfully added,
subtract, multiplied, divided.
Example:-
height of students
weight of students
Provides Nominal
scale
Ordinal
scale
Interval
scale
Ratio scale
The “order”
of values is
known
√ √ √
“frequency
of
distribution”
√ √ √ √
Mode √ √ √
Median √ √ √
Mean √ √
Can quantify
the
difference
between
each value
√ √
Can add or
subtract
values
√ √
Can multiple
and divide
values
√
Has true zero √
Provides Nominal
scale
Ordinal
scale
Interval
scale
Ratio scale
Scale Order
(<,>)
Distance
(-)
True zero
(+,X,÷)
Examples
Nominal No No No Color
Gender
Country
Ordinal Yes No No Rank orders
Rating scale
Interval Yes Yes No Year
Time of the
day
IQ
Ratio yes Yes Yes Age
Height
Weight
rates
1 de 10

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Scale of measurement

  • 2. The scale determines amount of information contained in data. The scale indicates the data summarization and statistical analysis that are most appropriate.
  • 4. No numerical difference between categories. examples: -marital status -gender -state of residence -zip code -student id
  • 5.  Ste of categories that are ordered from least to most.  Don’t know numerical distance from each category to next. Example: -miss India result (first runner up , second runner up) -military rank -letter grade in school -degree hold
  • 6.  Scale with value and there is same numerical distance between each value.  The data have properties of Ordinal data and the interval between observation is expressed in terms of a fixed unit of measure.  They are always numeric.  We can subtract and add but cant multiply and divide.  Example  Temperatures  Speedo meter
  • 7.  When it comes to measurement scale Ratio scale tells us about the order.  They tell us exact value between units and they also have an absolute zero – which allows for a wide range of both descriptive and inferential statistic to be applied.  These variable can be meaningfully added, subtract, multiplied, divided. Example:- height of students weight of students
  • 8. Provides Nominal scale Ordinal scale Interval scale Ratio scale The “order” of values is known √ √ √ “frequency of distribution” √ √ √ √ Mode √ √ √ Median √ √ √ Mean √ √
  • 9. Can quantify the difference between each value √ √ Can add or subtract values √ √ Can multiple and divide values √ Has true zero √ Provides Nominal scale Ordinal scale Interval scale Ratio scale
  • 10. Scale Order (<,>) Distance (-) True zero (+,X,÷) Examples Nominal No No No Color Gender Country Ordinal Yes No No Rank orders Rating scale Interval Yes Yes No Year Time of the day IQ Ratio yes Yes Yes Age Height Weight rates