Types of Data
Types of Data
Overview of Data Types
The information is categorized into four primary types of data:
Nominal
Ordinal
Interval
Ratio
Nominal Data
Definition: The simplest form of data in which options are categorized or labeled. There are no intrinsic numeric values associated with these categories.
Example: Categories of race such as:
Black
Asian
White
American Indian
Native Hawaiian
Characteristics:
Non-numeric categories.
Cannot perform mathematical operations on nominal data.
Ordinal Data
Definition: Data that can be ranked or ordered. However, the intervals between the categories are not uniform, meaning that the distance from one option to the next is variable, preventing the application of most mathematical principles.
Example: Levels of confidence such as:
Very Confident
Somewhat Confident
Pretty Confident
A Little Confident
Not Confident at All
Characteristics:
Rankings exist, but the gaps between ranks are not consistent.
Interval Data
Definition: Data that is not only rank-ordered but also possesses equal intervals between each category, making it equidistant. However, interval data does not have an absolute zero.
Example: Temperature measurements in degrees such as:
0 degrees
10 degrees
20 degrees
30 degrees
-10 degrees
Characteristics:
Allows addition and subtraction operations.
Cannot meaningfully interpret ratios between values (e.g., 20 degrees is not twice as hot as 10 degrees).
Ratio Data
Definition: This type of data is similar to interval data but includes a true zero, which means that zero signifies the absence of the quantity being measured.
Example: Speed measurements in miles per hour (MPH) such as:
0 MPH (indicates no speed)
5 MPH
10 MPH
15 MPH
20 MPH
Characteristics:
Allows all mathematical operations, including addition, subtraction, multiplication, and division.
Enables meaningful comparison of ratios (e.g., 20 MPH is twice as fast as 10 MPH).
The presence of a true zero makes it the most informative level of data analysis.
Summary of Data Types
Nominal: Categorizes options with no numeric value.
Ordinal: Ranks categories in order with variable intervals.
Interval: Ranks options that have equal, equidistant intervals but no true zero.
Ratio: Ranks options with equal intervals that include a true zero, allowing for all types of arithmetic operations.
Types of Statistical Analysis Applicable
Nominal: Requires non-parametric statistics.
Ordinal: Requires non-parametric statistics.
Interval: Can use parametric statistics.
Ratio: Can use parametric statistics.