Global Accreditation Body for Six Sigma Certifications

Articles and Blogs

Data Type and Measurement Scale

Posted by 6sigmastudy® on September 01, 2023 | Six Sigma Tools

Keywords: Six Sigma 6sigmastudy Six Sigma Yellow Belt (SSYB™) Six Sigma Green Belt (SSGB™) Six Sigma Black Belt (SSBB™) Lean Six Sigma Green Belt (LSSGB™) Lean Six Sigma Black Belt (LSSBB™) Free Articles Free Six Sigma Articles TQM Six sigma define dmaic dmadv

Data Type and Measurement Scale

Types of Data

Data consists of facts, concepts, and instructions that are structured in a formalized way, making them suitable for communication and interpretation.

Two categories of data exist: Continuous and Discrete.

Continuous Data:

  • Is quantified using a physical instrument.
  • Includes fractional values.
  • Allows subdivision into smaller increments.
  • Exemplified by measurements like length, width, volume, time (cycle time), temperature, viscosity, velocity, and currency.

Discrete Data:

  • Arises from counting occurrences.
  • Is subject to classification into specific categories.
  • Instances include count of accidents in a given US year, quantity of defects in a finished product, volume of inbound calls, frequency of on-time deliveries, and binary classifications (such as good/bad, yes/no, pass/fail).

Measurement scales are employed to categorize data into distinct types, enabling discrete collection and evaluation of data. In his theory on scale types, Stanley Smith Stevens identified four categories of measurement scales.

  • Scale of Nominal Measurement
  • Scale of Ordinal Measurement
  • Scale of Interval Measurement
  • Scale of Ratio Measurement

Scale of Nominal Measurement

In this type of scale, items are allocated to groups or categories without any inherent order or arrangement. The collected data doesn't imply any superiority of one item over another. Given their qualitative nature, variables measured on a nominal scale are commonly referred to as categorical variables. A YES/NO scale is often employed when conducting research involving nominal measurement. Examples of nominal measurement include marital status, country of origin, gender (male/female), and religion.

Scale of Ordinal Measurement

Within an ordinal scale, elevated numbers indicate a superior rank order along with greater values, while lower numbers correspond to a lower rank order and lesser values. Items in this scale are grouped based on the extent of a characteristic they exhibit. These categories maintain a logical or sequential connection to one another. When dealing with ordinal data, nonparametric statistical methods are often employed. These encompass measures such as median and mode, rank order correlation, as well as nonparametric analysis of variance.

Illustration: In your opinion, how do you assess the quality of the play "Hamlet"?

Excellent—5, Good—4, Average—3, Poor—2, Very Poor—1.

Scale of Interval Measurement

Within interval scales, data is categorized based on intervals. The space between two consecutive intervals might not be uniform. It's important to note that with an interval scale, differences hold significance, but ratios lack meaning. For instance, variations in dates are meaningful, but ratios of dates lack interpretation.

Illustration: Temperature Categories

- Extremely Hot: 1000–1100

- Hot: 900–1000

- Warm: 800–900

- Moderate: 700–800

- Cool: 600–700

- Cold: 400–600

- Extremely Cold: 0–30

Scale of Ratio Measurement

The ratio measurement scale gauges the connection between two values presented as a ratio or percentage. This becomes valuable when quantifying data like defect rates, interest rates, DPU (defects per unit), and yield. Examples include Sales, profit, market share, age, and other related factors are all conveyed using a ratio scale.

In conclusion, understanding data types and measurement scales is pivotal in effectively capturing and analyzing information. Nominal scales categorize data into distinct groups without implying any order, while ordinal scales establish a ranking among data points. Interval scales quantify data with non-uniform intervals, focusing on meaningful differences rather than ratios. Ratio scales, on the other hand, enable precise measurement using ratios or percentages, encompassing attributes like sales, profit, and age. Adapting the appropriate measurement scale for the type of data being analyzed enhances our ability to derive valuable insights and make informed decisions.

 

For more such interesting articles on Six Sigma and its concepts, please click here

 

Enroll in the Free SSYB Course

Join 6sigmastudy™ LinkedIn Discussion Group