Types of Variables in Research

Explore a complete list of types of variables used in statistics and research. This guide provides clear definitions and examples of essential terms, including independent and dependent variables, confounding vs. mediating variables, latent and manifest variables, categorical and continuous data, and exogenous vs. endogenous factors. Perfect for students and researchers needing a quick reference.

Types of Variables Statistics glossary

Types of Variables

Types of variables, independent variable, dependent variable, confounding variable, mediating variable, latent variable, categorical variable, continuous variable, exogenous vs endogenous, predictor variable, outcome variable, research methodology, statistics glossary.

Types of VariablesDescription
Binary VariableObservations that occur in one of two possible situations/ states, such as zero and one. The possible outcome may be improved or not improved, true or false, completed or failed, pass or fail, etc.
Categorical VariableA variable (predictor or independent variable) that contains values showing membership in one of several possible values/categories. For example, gender (male or female), marital status (single, married, divorced, widowed). Usually, categories are recoded into numerical values/labels, for example, 0 = male, 1 = female. Synonym for a nominal variable.
Confounding VariableA variable that obscures the effect of another variable. A confounding variable is an unmeasured third variable that influences both the supposed cause (independent variable) and the supposed effect (dependent variable), creating a false association between them.
For example, A study finds that ice cream sales are linked to drowning incidents. The confounding variable is hot weather, which causes people to both buy more ice cream and go swimming (leading to more drownings).
Continuous VariableA variable that is not restricted to particular values (other than limited by the accuracy of the measuring instrument). For example, neuroticism, IQ, and reaction time. Equal-sized intervals on different parts of the scale are assumed, if not demonstrated. Synonym for interval variable.
Criterion VariableThe presumed effect in a non-experimental study.
Dependent VariableThe presumed effect in an experimental study. The values of the dependent variable depend upon another variable, the independent variable. The dependent variable should not be used when writing about non-experimental designs.
Dichotomous VariableAnother name of Binary variable.
Discrete VariableA variable having only integer values. For example, the number of trials needed by a student to learn a memorization task. Number of students in a class.
Dummy VariableA dummy variable is created by recoding categorical variables that have more than two categories into a series of binary variables (dichotomous). For example, marital status, if originally labelled as (1 = married, 2 = single, 3 = divorced, widowed, or separated), could be redefined in terms of two variables as follows
Var1: 1 = single, 0 = otherwise
Var2: 1 = divorced, widowed, or separated, 0 = otherwise
For a married person, both Var1 and Var 2 would be zero.

In general, a categorical variable with $k$ categories would be recorded in terms of $k-1$ dummy variables.
Endogeneous VariableA variable that is an inherent part of the system being studied and that is determined from within the system. A variable that is caused by other variables in a causal system.

An endogenous variable is a factor that is determined within the system or model. It is influenced by other variables (including exogenous ones) inside the system.
For example, in the crop yield study, the crop yield itself is an endogenous variable: it is affected by rainfall (exogenous), soil quality, and fertilizer use.
Exogeneous VariableA variable entering from and determined from outside of the system being studied. A causal system says nothing about its exogenous variables.

An exogenous variable is an independent variable whose value is determined outside the statistical model and is not affected by other variables within the system.
For example, in a study on crop yield, the amount of rainfall is an exogenous variable: it influences the crop yield, but the crop yield does not influence the rainfall.
Independent VariableAn independent variable is the factor that is deliberately changed or manipulated by the researcher to see what effect it has.
For example, in a test to see if different amounts of sunlight affect plant growth, the amount of sunlight is the independent variable (you change it to measure its effect on the plant).
Interval VariableIt is synonym for continuous variable.
Intervening VariableA variable that explains a relation or provides a causal link between other variables. It is called by some authors “mediating variable” or “intermediary variable”. For example, the statistical association between income and longevity needs to be explained because just havingmoney does not make one live longer. Other variables intervene between money and long life. People with high incomes tend to have bettter medial care than those with low incomes. Medical care is an intervening variable. It mediates the relationship between income and longevity.
Latent VariableA latent variable that cannot be observed. It is hypothesized to exist in order to explain other variables, such as behaviours, that can be observed.
A latent variable is a hidden factor that cannot be directly observed or measured. Instead, it must be inferred from other observable variables that we can measure.
For example, “Intelligence” is a latent variable. We cannot directly measure it, but we infer it by observing measurable variables like test scores, problem-solving speed, and reasoning ability.
Manifest VariableAn observed variable is assumed to indicate the presence of a latent variable, also known as an indicator variable. We cannot observe intelligence directly, for it is a latent variable. One can look at indicators such as vocabulary size, IQ test score, writing ability, success in one’s occupation, ability to play complicated games well, and so on.
Manipulated VariableA synonym for an independent variable.
Mediating VariableIt is a synonym for intervening variable. For example, parents transmit their social status to their children directly, but they also do so indirectly, through education:
Parents’ Status -> Child’s Education -> Child’s Status
Moderating VariableA variable that influences, or moderates, the relationship between two other variables and produces an interaction effect.
Nominal VariableIt is a synonym for a categorical variable.
Ordinal VariableA variable used rank a sample of individuals with respect to some characteristics, but differences (intervals) and different points of the scale are not necessarily equivalent.
For example, anxiety might be rated on a scale of “none”, “mild”, “moderate”, and “severe” with numerical values 0, 1, 2, 3. A patient with an anxiety score of 1 is ranked as less anxious than a patient with a score of 3, but patients with score 0 and 2 do not necessarily have the same difference in anxiety as patients with scores of 1 and 3.
Outcome VariableThe presumed effect in a non-experimental study. It is a synonym for the criterion variable, also called the output variable.
Polychotomous VariablesVariables that can have more than two possible values. The usual reference is to categorical variables with more than two categories.
Predictor VariableThe presumed “cause” in a non-experimental study. It is often used in correlational studies. For example, SAT scores predict first-semester GPA. The SAT score is the predictor variable.
Treatment VariableIt is a synonym for independent variable.

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Levels of Measurement (2021)

Levels of Measurement (Scale of Measure)

The levels of measurement (scale of measures) have been classified into four categories. It is important to understand these measurement levels since they play an important part in determining the arithmetic and different possible statistical tests carried on the data. The scale of measure is a classification that describes the nature of the information within the number assigned to a variable. In simple words, the level of measurement determines how data should be summarized and presented.

It also indicates the type of statistical analysis that can be performed. The four-level of measurements are described below:

Nominal Level of Measurement (Nominal Scale)

At the nominal level of measurement, the numbers are used to classify the data (unordered group) into mutually exclusive categories. In other words, for the nominal level of measurement, observations of a qualitative variable are measured and recorded as labels or names.

Ordinal Level of Measurement (Ordinal Scale)

In the ordinal level of measurement, the numbers are used to classify the data (ordered group) into mutually exclusive categories. However, it does not allow for a relative degree of difference between them. In other words, for the ordinal level of measurement, observations of a qualitative variable are either ranked or rated on a relative scale and recorded as labels or names.

Interval Level of Measurement (Interval Scale)

For data recorded at the interval level of measurement, the interval or the distance between values is meaningful. The interval scale is based on a scale with a known unit of measurement.

Ratio Level of Measurement (Ratio Scale)

Data recorded at the ratio level of measurement are based on a scale with a known unit of measurement and a meaningful interpretation of zero on the scale. Almost all quantitative variables are recorded on the ratio level of measurement.

Levels of Measurement

Examples of levels of measurement

Examples of Nominal Level of Measurement

  • Religion (Muslim, Hindu, Christian, Buddhist)
  • Race (Hispanic, African, Asian)
  • Language (Urdu, English, French, Punjabi, Arabic)
  • Gender (Male, Female)
  • Marital Status (Married, Single, Divorced)
  • Number plates on Cars/ Models of Cars (Toyota, Mehran)
  • Parts of Speech (Noun, Verb, Article, Pronoun)

Examples of Ordinal Level of Measurement

  • Rankings (1st, 2nd, 3rd)
  • Marks Grades (A, B, C, D)
  • Evaluations such as High, Medium, and Low
  • Educational level (Elementary School, High School, College, University)
  • Movie Ratings (1 star, 2 stars, 3 stars, 4 stars, 5 stars)
  • Pain Ratings (more, less, no)
  • Cancer Stages (Stage 1, Stage 2, Stage 3)
  • Hypertension Categories (Mild, Moderate, Severe)

Examples of Interval Levels of Measurement

  • Temperature with Celsius scale/ Fahrenheit scale
  • Level of happiness rated from 1 to 10
  • Education (in years)
  • Standardized tests of psychological, sociological, and educational discipline use interval scales.
  • SAT scores

Examples of Ratio Level of Measurement

  • Height
  • Weight
  • Age
  • Length
  • Volume
  • Number of home computers
  • Salary

In essence, levels of measurement act like a roadmap for statistical analysis. They guide us in selecting the most appropriate methods to extract valuable insights from the data under study. The level of measures is very important because they help us in

  • Choosing the right statistical tools: Different levels of measurement are used for different statistical methods. For example, One can compute a measure of central tendency (such as mean and median) for data on income (which is interval level), but a measure of central tendency (such as mean and median) cannot be computed for data on favorite color (which is nominal level, the mode can be computed regarding the measure of central tendency).
  • Drawing valid conclusions: If the statistical test is misused because of a misunderstanding of the measurement level of the data, the conclusions might be misleading or even nonsensical. Therefore, measurement levels help us ensure that analysis reflects the actual characteristics of the data.
  • Making meaningful comparisons: Levels of measurement also allow us to compare data points appropriately. For instance, one can say someone is 2 years older than another person (ordinal data), but one cannot say that their preference for chocolate ice cream is twice as strong (nominal data).
Levels of Measurement

FAQS About Levels of Measurements

  1. What do you mean by measurement levels?
  2. What is the role of Levels of Measurement in Statistics?
  3. Compare, nominal, ordinal, ratio, and interval scale.
  4. What measures of central tendency can be performed on which measurement level?
  5. What is the importance of measurement levels?
  6. Give at least five, five examples of each measurement level.

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Quantitative Qualitative Variables: Statistical Data (2021)

This article is about Quantitative Qualitative Variables. First, we need to understand the concept of data and variables. Let us start with some basics.

The word “data” is frequently used in many contexts and ordinary conversations. Data is Latin for “those that are given” (the singular form is “datum”). Data may therefore be thought of as the results of observation. In this post, we will learn about quantitative qualitative variables with examples.

Data are collected in many aspects of everyday life.

  • Statements given to a police officer, physician, or psychologist during an interview are data.
  • So are the correct and incorrect answers given by a student on a final examination.
  • Almost any athletic event produces data.
  • The time required by a runner to complete a marathon,
  • The number of spelling errors a computer operator commits in typing a letter.

  Data are also obtained in the course of scientific inquiry:

  • the positions of artifacts and fossils in an archaeological site,
  • The number of interactions between two members of an animal colony during a period of observation,
  • The spectral composition of light emitted by a star.

Data comprise variables. Variables are something that changes from time to time, place to place, and/or person to person. Variables may be classified into quantitative and qualitative according to the form of the characters they may have.

Quantitative Qualitative Variables

Let us understand the major concept of Quantitative Qualitative variables by defining these types of variables and their related examples. The examples are self-explanatory and all of the examples are from real-life problems.

Qualitative Variables

A variable is called a quantitative variable when a characteristic can be expressed numerically such as age, weight, income, or several children, that is, the variables that can be quantified or measured from some measurement device/ scales (such as weighing machine, thermometer, and liquid measurement standardized container).

On the other hand, if the characteristic is non-numerical such as education, sex, eye color, quality, intelligence, poverty, satisfaction, etc. the variable is referred to as a qualitative variable. A qualitative characteristic is also called an attribute. An individual or an object with such a characteristic can be counted or enumerated after having been assigned to one of the several mutually exclusive classes or categories (or groups).

Quantitative Variables

Mathematically, a quantitative variable may be classified as discrete or continuous. A discrete variable can take only a discrete set of integers or whole numbers, which are the values taken by jumps or breaks. A discrete variable represents count data such as the number of persons in a family, the number of rooms in a house, the number of deaths in an accident, the income of an individual, etc.

A variable is called a continuous variable if it can take on any value- fractional or integral––within a given interval, that is, its domain is an interval with all possible values without gaps. A continuous variable represents measurement data such as the age of a person, the height of a plant, the weight of a commodity, the temperature at a place, etc.

A variable whether countable or measurable is generally denoted by some symbol such as $X$ or $Y$ and $X_i$ or $X_j$ represents the $i$th or $j$th value of the variable. The subscript $i$ or $j$ is replaced by a number such as $1,2,3, \cdots, n$ when referred to a particular value.

Quantitative Qualitative Variables

Examples of Statistical Data

Note that statistical data can be found everywhere, few examples are:

  • Any financial/ economics data
  • Transactional data (from stores, or banks)
  • The survey, or census (of unemployment, houses, population, roads, etc)
  • Medical history
  • Price of product
  • Production, and yields of a crop
  • My history, your history is also statistical data
Data Sources itfeature.com

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