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Measurement Scales and Types
of Data
Measurement
While people measure things casually in daily
life, research measurement is more precise and
controlled.
Variables being studied in research may be
classified as objects or as properties.
– Objects include tangible items such as furniture,
laundry detergent, people or automobiles.
– Properties are the characteristics of the object. A
person's physical properties include weight, height
etc., and his psychological properties are attitudes
and intelligence.
cont...
cont...
An event is measured in terms of its
duration;
For duration, one measures the number of
hours and minutes recorded.
Measurement
Measurement
For what happened, one uses some system
to classify types of activities that occurred.
Measurement typically uses some sort of
scales to classify or quantify the data
collected.
There are four types of scales. In increasing
order of power, they are nominal, ordinal,
interval, and ratio.
cont...
 Nominal – Classify into categories – no order, distance,
or natural origin
 Example: personality type, religion, gender
 Ordinal – Order objects along a dimension (ranking) but
no distance or natural origin
 Example: Top 10 movies
 Interval – Meaningful distances between rankings:
ordered, distance, but no natural origin
 Example: thermometer
 Ratio – Interval with true zero point (most precise):
ordered, distance, natural origin
 Example: height, weight, age, length
Measurement
cont...
Measurement
A. Store Customers:
Nominal – Group them by race, ethnic
background, married or single status, etc.
Ordinal – Rank them as very frequent
buyers, frequent buyers, infrequent
buyers.
cont...
Measurement
Interval – Customer Satisfaction on
different points interval i.e.
Ratio – Average size of monthly
purchases
cont...
Measurement
B. Voter Attitudes
 Nominal – grouped as PML(N), PPP, PTI, and
others;
 Ordinal – Rank of candidates in order of
preference;
 Interval – Likert – type scale. Most likely to win,
likely to win, neutral, less likely to win, cannot
win
 Ratio – Count of votes for various candidates
in each district.
cont...
Measurement
C. Common Stock Preference
 Nominal – Industry classification of
stocks;
 Ordinal – Rank order of preference
stocks as your preference for them;
cont...
Measurement
Interval – Rating of preference for the
stock by converting the results of a paired
comparison rating into presumed interval
scale;
Ratio – Six-month changes in price of
various preferred stocks.
cont...
Characteristics of Good
Measurement
Three major criteria for evaluating a
measurement tool are: validity, reliability,
and practicality.
– Validity is the extent to which a test measures
what we actually wish to measure.
– Reliability has to do with the accuracy and
precision of a measurement procedure.
– Practicality is concerned with a wide range of
factors of economy, convenience, and
interpretability
Types of Data
Quantitative – things you measure
 Examples: (age, time, scores, etc.)
 How much does a book weigh?
Qualitative – things you categorize
 Examples: (gender, race, class standing, etc.)
 What color is the book?

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Measurement Statistics

  • 1. Measurement Scales and Types of Data
  • 2. Measurement While people measure things casually in daily life, research measurement is more precise and controlled. Variables being studied in research may be classified as objects or as properties. – Objects include tangible items such as furniture, laundry detergent, people or automobiles. – Properties are the characteristics of the object. A person's physical properties include weight, height etc., and his psychological properties are attitudes and intelligence. cont...
  • 4. An event is measured in terms of its duration; For duration, one measures the number of hours and minutes recorded. Measurement
  • 5. Measurement For what happened, one uses some system to classify types of activities that occurred. Measurement typically uses some sort of scales to classify or quantify the data collected. There are four types of scales. In increasing order of power, they are nominal, ordinal, interval, and ratio. cont...
  • 6.  Nominal – Classify into categories – no order, distance, or natural origin  Example: personality type, religion, gender  Ordinal – Order objects along a dimension (ranking) but no distance or natural origin  Example: Top 10 movies  Interval – Meaningful distances between rankings: ordered, distance, but no natural origin  Example: thermometer  Ratio – Interval with true zero point (most precise): ordered, distance, natural origin  Example: height, weight, age, length Measurement cont...
  • 7. Measurement A. Store Customers: Nominal – Group them by race, ethnic background, married or single status, etc. Ordinal – Rank them as very frequent buyers, frequent buyers, infrequent buyers. cont...
  • 8. Measurement Interval – Customer Satisfaction on different points interval i.e. Ratio – Average size of monthly purchases cont...
  • 9. Measurement B. Voter Attitudes  Nominal – grouped as PML(N), PPP, PTI, and others;  Ordinal – Rank of candidates in order of preference;  Interval – Likert – type scale. Most likely to win, likely to win, neutral, less likely to win, cannot win  Ratio – Count of votes for various candidates in each district. cont...
  • 10. Measurement C. Common Stock Preference  Nominal – Industry classification of stocks;  Ordinal – Rank order of preference stocks as your preference for them; cont...
  • 11. Measurement Interval – Rating of preference for the stock by converting the results of a paired comparison rating into presumed interval scale; Ratio – Six-month changes in price of various preferred stocks. cont...
  • 12. Characteristics of Good Measurement Three major criteria for evaluating a measurement tool are: validity, reliability, and practicality. – Validity is the extent to which a test measures what we actually wish to measure. – Reliability has to do with the accuracy and precision of a measurement procedure. – Practicality is concerned with a wide range of factors of economy, convenience, and interpretability
  • 13. Types of Data Quantitative – things you measure  Examples: (age, time, scores, etc.)  How much does a book weigh? Qualitative – things you categorize  Examples: (gender, race, class standing, etc.)  What color is the book?