Statistics: Scales of Measurement

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10 Questions

What is the assignment property of a measurement scale?

Involves assigning unique descriptors or labels to identify each object within a set

Which of the following is an example of the assignment property?

A researcher assigning unique descriptors to record responses from consumers

What is the primary purpose of the order property in measurement scales?

To identify the relative magnitude between descriptors

Which of the following is an example of the order property?

A researcher identifying the relative magnitude between two objects

What is the primary purpose of the distance property in measurement scales?

To express the exact difference between each of the descriptors

Which of the following is an example of the distance property?

A researcher identifying the exact difference between two descriptors

Which of the following is NOT a property of measurement scales?

Description property

What is the origin property used for in measurement scales?

To determine the zero point of a measurement scale

Which of the following is an example of the origin property?

A researcher determining the zero point of a measurement scale

Which of the following properties is NOT restricted to situations where the raw responses represent some type of natural numerical answer?

Assignment property

Study Notes

Scales of Measurement

  • There are four primary scales of measurement: nominal, ordinal, interval, and ratio
  • These scales have different properties that distinguish them from one another

Nominal Scale

  • Only has the assignment property
  • Used to categorize or label objects
  • Examples: gender, occupation, country of origin

Ordinal Scale

  • Has assignment and order properties
  • Used to rank objects in a specific order
  • Examples: ranking preferences, educational level, income level

Interval Scale

  • Has assignment, order, and distance properties
  • Used to measure attitudes, opinions, and index numbers
  • Examples: temperature, IQ scores
  • Statistical techniques that can be used: range, mean, standard deviation, product-moment correlation, t-tests, ANOVA, regression, and factor analysis

Ratio Scale

  • Has all four properties: assignment, order, distance, and origin
  • Enables the researcher to identify or classify objects, rank objects, and compare intervals or differences
  • Examples: weight, height, age, sales, cost, customer numbers
  • All statistical techniques can be applied, including specialized statistics such as geometric mean, harmonic mean, and coefficient of variation

Likert Scale

  • Focuses on the degree of agreement or disagreement
  • Assigning numbers helps in accurate understanding of a phenomenon, facilitates easy communication, and provides objectivity
  • Used in marketing research to measure variables such as attitudes, opinions, and index numbers

Understanding the characteristics of interval scales, including arbitrary origin and units, and statistical techniques for data analysis.

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