03 · What You Need to Know
How an Operational Definition Can Underrepresent a Construct
Precision and Breadth Are Different Questions
An operational definition can be extremely precise while remaining conceptually inadequate. Precision tells you whether the procedure for producing observations is clear. It does not tell you whether those observations adequately represent the construct.
Operationalization translates an abstract concept into measurable and interpretable form. This requires attention not only to the procedure but also to the scope and dimensions of the concept and the indicators intended to capture them.
This is why a researcher can write an impeccably detailed operational definition and still have a measurement problem.
What Is Construct Underrepresentation?
Construct underrepresentation occurs when important aspects of the intended construct are not sufficiently captured by a measure. In validity literature, it is commonly identified as one of the major threats to meaningful interpretation of measurement results.
When underrepresentation occurs, the empirical evidence is narrower than the construct the researcher claims it represents.
Conceptual construct
The phenomenon the researcher intends to investigate, including its relevant dimensions and boundaries.
Operational representation
The portion of that phenomenon captured through the selected indicators, instrument, observations, records, or procedures.
The greater the mismatch between those two, the more difficult it becomes to justify broad conclusions about the intended construct.
The Problem Often Appears With Complex Constructs
Multidimensional constructs are particularly vulnerable because one convenient indicator may capture only one manifestation.
Consider digital literacy. A conceptual definition might include technical competence, information evaluation, responsible communication, safety, and critical judgment. A test consisting only of basic software-operation tasks could measure one relevant component well while leaving much of the broader construct unrepresented.
Similarly, academic success might encompass learning, progression, persistence, attainment, or other outcomes depending on the conceptual framework. Operationalizing it exclusively as a single examination score may be appropriate for a narrow question about examination performance but inadequate for a broad claim about academic success.
A Single Indicator Is Not Automatically Too Narrow
One indicator can sometimes represent a narrowly defined construct adequately. The problem is not mathematical: there is no rule that one indicator is invalid and several indicators are valid.
Suppose the construct is “number of peer-reviewed articles published during the 2025 calendar year.” A publication count may correspond closely to that narrowly specified construct. Adding multiple indicators merely to increase breadth would not necessarily improve the measurement.
The issue changes when a researcher labels the same publication count “research performance.” Research performance is potentially much broader than publication quantity, so the adequacy of the indicator depends on the conceptual meaning assigned to that broader construct.
This is why the question of whether one indicator can represent a complex construct cannot be answered solely by counting indicators.
Underrepresentation Is Relative to the Claim You Want to Make
An operationalization can be adequate for a narrow inference and inadequate for a broad one.
Consider attendance. If the research question asks, “How frequently do students attend scheduled classes?”, attendance records may provide a direct operationalization. If the researcher instead uses attendance records to claim that students are “academically engaged,” the inferential burden changes because engagement may include cognitive, emotional, and behavioral dimensions beyond physical presence.
The same dataset has not suddenly become defective. The claim has expanded beyond what the evidence may reasonably support.
Watch Out
Before adding more indicators, check whether the real problem is overclaiming. Sometimes the appropriate solution is to narrow the construct label or conclusion to match what was actually measured.
Convenient Data Can Quietly Narrow the Construct
Researchers increasingly work with existing administrative records, digital traces, institutional databases, and platform analytics. These data can be extremely valuable, but availability can tempt researchers to let the observable variable redefine the construct.
For example, a learning-management system may readily provide login counts, page views, clicks, and submission timestamps. Those variables are easy to quantify. Ease of extraction does not establish that they collectively represent learning, engagement, motivation, or educational quality.
If the construct of interest is broader than what the available data directly capture, the researcher needs a defensible conceptual argument linking the observable evidence to that construct.
Proxies Can Create the Same Problem
A proxy is used in place of something the researcher would ideally like to observe more directly. Proxies can be reasonable, particularly when direct measurement is impossible, impractical, costly, or ethically problematic.
The danger is treating the proxy as though it were the entire construct. If publication count is used as a proxy for scholarly productivity, for example, its limitations should remain visible. If it is used as a proxy for overall research quality or societal impact, the conceptual distance becomes considerably larger.
The relevant question is whether the proxy is a reasonable substitute for what you actually want to study and whether the interpretation remains proportionate to what it captures.
How Do You Recognize an Operational Definition That Is Too Narrow?
Several warning signs deserve attention:
- the conceptual definition contains several important dimensions, but the operational definition captures only one;
- the measure was designed for a narrower construct than the one claimed in the study;
- the operational definition is based primarily on what data happen to be available;
- important behaviors or experiences could change substantially without affecting the measured variable;
- people could receive similar scores despite differing substantially on important parts of the construct;
- the conclusion uses broader terminology than the measurement procedure justifies; or
- the operationalization would seem inadequate if the variable label were hidden and only the procedure were shown.
None of these signs proves underrepresentation by itself, but together they provide useful prompts for closer examination.
Ask What Could Change Without Your Measure Noticing
One particularly useful diagnostic question is:
Could an important part of the construct change substantially while my operational measure remains unchanged?
Suppose two students each log into an online course 20 times. One carefully studies readings, participates in discussions, and revises assignments based on feedback. The other opens the platform repeatedly but performs little meaningful learning activity. If both receive identical “engagement” values, login frequency may be insensitive to important aspects of the construct.
That does not make login count useless. It suggests that its defensible interpretation may be narrower than “student engagement.”
Multiple Indicators Can Help, but Only if They Cover Relevant Dimensions
When a construct genuinely has several dimensions, multiple indicators may be needed to represent it adequately. The goal is not simply to increase the number of variables. The indicators should correspond to theoretically relevant aspects of the construct.
Five indicators measuring essentially the same narrow behavior may still leave other important dimensions absent.
Underrepresentation Can Be Context Specific
A measure that adequately represents a construct in one setting may omit important aspects in another. Recent validity scholarship notes that construct underrepresentation can arise when a measure developed in one context is transferred elsewhere without examining whether the conceptualization remains appropriate.
This matters in cross-cultural and cross-population research. The relevant dimensions of a phenomenon, or the ways those dimensions manifest, may differ enough that an existing operationalization captures only part of what matters in the new setting.
Do Not Solve Narrowness by Making the Definition Indiscriminately Broad
Adding indicators is not cost free. If researchers respond to underrepresentation by including every remotely related variable, they can create the opposite problem: the measure begins capturing phenomena that do not belong to the intended construct.
Validity theory distinguishes construct underrepresentation from construct-irrelevant variance, where factors outside the intended construct influence the resulting scores.
The aim is therefore not maximum breadth. It is adequate representation of the relevant construct boundaries.