Chapter 1
Chapter 1
Levels of Measurement in SPSS Statistics
Chapter Summary
There are three main functions of research: collecting, analyzing, and interpreting data. Researchers collect data in the field and enter them into SPSS Statistics. SPSS Statistics analyzes the data and outputs the results of the analysis. Researchers then interpret the results of the analysis to determine the outcome.
There are four traditional levels of measurement: nominal, ordinal, interval, and ratio. Nominal data are categorical and place participants into groups. Ordinal data are rank-ordered with unequal levels between the ranks. Interval data are also rank-ordered but have equal, definable levels between the ranks; Interval data is considered continuous, but with no absolute zero value. Ratio data are continuous data and do allow for an absolute zero value.
In SPSS Statistics, the levels of measurements are defined differently. The following table (also in the text) compares the differences.
Table 1.1
Summary and Comparison of Traditional and SPSS Statistics Terminology for Levels of Measurement
Traditional SPSS Statistics
Categorical Nominal
Ordinal
Categorical Nominal Ordinal
Definition
General term for nominal and ordinal Naming data Ordered data
Example
Sex: male-female Highest degree earned
Scale Interval
Ratio
Scale (Continuous)1 General term for interval and ratio
Scale
Equal intervals without absolute zero
Scale
Equal intervals with absolute zero
Multiple-choice scores Weight (in pounds)
1 SPSS Statistics uses the terms "Scale" and "Continuous" interchangeably.
1
Chapter Objectives
1. Identify the major steps in conducting research. 2. Define traditional levels of measurement. 3. Define levels of measurement used by SPSS Statistics. 4. Compare traditional levels with SPSS Statistics levels. 5. Define the term variable. 6. Classify variables as categorical or scale. 7. Classify variables as nominal, ordinal, or scale.
Chapter Key Terms
Data Analyze data Systematic Level of measurement Ordinal Ratio Scale level
Collect data Interpret data Likert scale Nominal Interval Categorical level Variable
Chapter Suggested Readings/Activities
1. Suggested readings/activities available online:
? Practice: (accessed 4/29/2015) ? Practice:
x.htm (accessed 4/29/2015) ? Tutorial with video: (accessed 4/29/2015) 2. SPSS Statistics Levels of Measurement Activity (next page)
2
SPSS Statistics Levels Measurement Activity
For each of the following variables, indicate the SPSS Statistics level of measurement (nominal, ordinal, scale).
Variable
Scale
Gender (male, female)
Driving distance
Self-esteem measured using Likert Scale
Weight
SAT score
Rankings of students
Student satisfaction via evaluation responses
Student satisfaction via number of days attended class
Hours worked per week
Annual salary
Preferred brand of soda
Number of broken bones in a person's lifetime
Political party affiliation
Hormone blood levels
Calories eaten per day
Calories burned per day
Type of vehicle
3
SPSS Statistics Levels Measurement Activity Answer Key
For each of the following variables, indicate the SPSS Statistics level of measurement (nominal, ordinal, scale).
Variable
Scale
Gender (male, female)
Nominal
Driving distance
Scale
Self-esteem measured using Likert Scale
Scale
Weight
Scale
SAT score
Scale
Rankings of students
Ordinal
Student satisfaction via evaluation responses
Scale
Student satisfaction via number of days attended class
Scale
Hours worked per week
Scale
Annual salary in ranges (e.g., 0-$4,999, $5,000-9,999, etc.)
Ordinal
Preferred brand of soda
Nominal
Number of broken bones in a person's lifetime
Scale
Political party affiliation
Nominal
Finishing place in road race
Ordinal
Hormone blood levels
Scale
Calories eaten per day
Scale
Calories burned per day
Scale
Type of vehicle
Nominal
4
Chapter 1 Test Bank Questions
1. Measuring political party affiliation by grouping individuals into such categories as Republican, Democrat, Libertarian, Green, and so on is at what level of measurement?
a. Nominal b. Ordinal c. Interval d. Ratio
2. Measurements of temperature (in Fahrenheit and Celsius) are at what level of measurement? a. Nominal b. Ordinal c. Interval d. Ratio
3. Consider a variable that has no absolute zero (such as SAT scores) and has equal intervals. In SPSS Statistics, this variable is categorized as being which of the following?
a. Nominal b. Ordinal c. Scale
4. A data set of one hundred individuals' weight (in pounds) is at what level of measurement in SPSS Statistics?
a. Nominal b. Ordinal c. Scale
5. A researcher classified participants by the state in which they were born. The researcher has measured at what SPSS Statistics level?
a. Nominal b. Ordinal c. Scale
6. A researcher measured a variable at the ratio level. He or she has measured at which SPSS Statistics level?
a. Nominal b. Ordinal c. Scale
5
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