01 · The Question
If You Draw an Arrow Between Two Concepts, What Justifies It?
Drawing an arrow in a conceptual framework takes seconds. Defending it may take considerably longer.
Suppose your framework shows that institutional support leads to AI self-efficacy, which then leads to instructors' adoption of generative AI. The boxes may be well supported individually. But what supports the arrows?
This question matters because an arrow can communicate a substantive proposition about the relationship between concepts. Depending on the framework, it might suggest association, influence, causal direction, sequence, mediation, feedback, or another form of connection.
So does every arrow require published evidence behind it? The answer depends partly on what the arrow claims.
03 · What You Need to Know
An Arrow Is a Claim, and the Strength of the Claim Matters
First Determine What the Arrow Actually Means
Before asking how much evidence an arrow needs, determine what you are using it to communicate.
A line connecting two concepts might merely indicate that they are related. A one-directional arrow may imply that one concept predicts or influences another. In other frameworks, arrows can represent temporal sequence, information flow, pathways, or feedback.
These are not equivalent claims.
University research guidance on conceptual models, for example, distinguishes one-way arrows representing hypothesized directional relationships from two-headed connections representing unanalyzed correlations. More broadly, the meaning of graphical relationships depends on the conventions and explanation supplied by the researcher.
Before evaluating the evidence, therefore, make sure you can explain what each arrow in the conceptual framework actually means.
Evidence for the Concepts Does Not Automatically Support the Relationship
This distinction is fundamental.
Imagine that extensive literature establishes both AI literacy and responsible AI use as important research concepts. That evidence justifies taking each concept seriously. It does not automatically establish that greater AI literacy produces more responsible AI use.
The relationship is an additional proposition.
Evidence for a concept
Supports the relevance, definition, or importance of the construct itself.
Evidence for an arrow
Supports the proposition that two concepts are related in the particular way represented by the connection.
A common weakness in conceptual frameworks occurs when researchers cite literature beside the boxes but leave the relationships between those boxes unexplained.
Empirical Evidence Can Support a Proposed Relationship
Previous research may provide direct empirical support for an arrow.
Suppose several relevant studies report an association between perceived usefulness and intention to adopt a technology. Those findings can provide evidence for representing a relationship between the concepts in a new study.
But the wording and graphical representation should respect what the evidence establishes. A cross-sectional association, for example, does not by itself establish temporal order or causality. Evidence from another population or setting may also require qualification before being transferred to your own context.
This is one reason a framework built substantially from previous research still requires critical synthesis rather than mechanical reproduction of reported relationships.
Theory Can Justify a Relationship Even When Direct Empirical Evidence Is Limited
Sometimes a theory provides a mechanism explaining why one concept should relate to another, even though the precise relationship has received limited empirical investigation in your particular context.
That theoretical rationale can be meaningful evidence for proposing the arrow.
For example, an established theory might imply that a particular belief shapes behavioral intention. If you apply that proposition to a new technology or population, the theory may justify examining the directional relationship even before substantial context-specific evidence has accumulated.
The framework should make the status of the relationship clear: theoretically expected is not the same as empirically established.
A Proposed Relationship Can Be Worth Studying Precisely Because Evidence Is Incomplete
If every relationship in a framework had to be conclusively established beforehand, some research questions would become rather difficult to justify. Research often investigates relationships because knowledge about them is incomplete, contradictory, or context dependent.
An arrow can therefore represent a relationship that the researcher proposes to investigate rather than one the literature has already settled.
The critical requirement is intellectual transparency. Explain why the relationship is plausible and why examining it matters. Relevant theoretical reasoning, findings about related relationships, qualitative evidence, or an unresolved empirical pattern may collectively provide that rationale.
Watch Out
“Nobody has studied this relationship before” does not, by itself, justify an arrow. Novelty establishes that evidence may be missing; it does not establish that the proposed connection is conceptually plausible. Explain why the relationship is worth expecting or investigating.
Conflicting Evidence Does Not Necessarily Mean Removing the Arrow
Suppose some studies find that institutional support predicts technology adoption while others report weak or nonsignificant relationships.
Deleting the arrow and pretending the literature says nothing would discard useful information. Selecting only the supporting studies would be equally problematic.
Instead, represent the relationship if it remains conceptually relevant to your study and explain that previous evidence is mixed. The disagreement may itself motivate examining whether the relationship holds in your population or under your contextual conditions.
A conceptual framework can represent an expectation without claiming certainty.
Stronger Arrows Require Stronger Justification
The evidentiary burden should reflect the strength of the claim.
| What the Arrow Suggests |
What Needs Justification |
Important Caution |
| Association |
Why the concepts are expected to vary together |
Do not automatically imply direction or causation. |
| Directional prediction |
Why one concept is expected to predict another in the stated direction |
Direction needs more reasoning than simple co-occurrence. |
| Causal influence |
A plausible mechanism plus evidence appropriate to a causal claim |
The framework alone does not establish causality. |
| Mediation |
Why one concept is expected to transmit part of the relationship between others |
A chain of correlations does not by itself establish a causal mechanism. |
| Moderation |
Why the strength or direction of one relationship should differ according to another concept |
The moderator has a specific relational role, not merely another direct effect. |
| Feedback or reciprocal relationship |
Why influence may plausibly operate in both directions |
The research design must be capable of addressing the reciprocal interpretation being proposed. |
This is also why bidirectional relationships require careful thought. A second arrow is not merely a graphical flourish; it adds another substantive proposition.
Your Research Design Does Not Automatically Validate What the Arrow Implies
A framework can propose a relationship that a study intends to examine. Whether the study can actually test the full meaning of that relationship is a separate methodological question.
For example, a cross-sectional survey may test whether two variables are associated and whether one statistically predicts another. It usually provides a much weaker basis for establishing temporal or causal ordering than a design specifically capable of addressing those issues.
The Stanford conceptual-model guidance explicitly describes arrows as representing hypothesized relationships, an important distinction between the conceptual proposition and the evidence eventually produced by the study.
Your framework, research questions, hypotheses, measurements, and analytical strategy should therefore tell compatible stories.
Not Every Citation Has to Sit Beside the Arrow
Saying that an arrow needs justification does not mean turning the diagram into a bibliography.
The evidentiary argument can be developed in the surrounding text. You might introduce the concepts, synthesize theoretical and empirical evidence supporting their proposed relationship, acknowledge contradictory findings, and then explain how the framework represents that synthesis.
The diagram communicates the conceptual structure. The narrative provides the scholarly reasoning needed to defend it.
This distinction helps preserve readability while still making the framework auditable. The reader should be able to trace why the relationship exists even if the figure itself contains no citations.
07 · A Quick Checklist
Can You Defend Every Relationship You Draw?
For every substantive arrow in your framework, check:
Can I state precisely what this arrow represents?
Can I explain why these concepts are expected to be related?
Have I examined relevant theoretical reasoning for the proposed relationship?
Have I reviewed relevant empirical findings, including contradictory or null results?
Does the direction of the arrow claim more than the existing evidence supports?
If evidence is limited, have I presented the relationship as proposed rather than established?
Is the relationship relevant to something the study actually intends to understand or examine?
Can my research design and analysis address the relationship without making unsupported causal or temporal claims?