Manuel B. Garcia

Manuel B. Garcia serves as the Senior Director for Educational Technology and Digital Learning at FEU Institute of Technology, Manila, Philippines. Read More

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How Do You Know Whether a Relationship Belongs in Your Conceptual Framework?

A relationship belongs in a conceptual framework when it represents a proposition the study genuinely needs to examine and can justify theoretically, empirically, and methodologically. An arrow should mean more than two variables happened to be associated in previous studies.

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Relationships in a Conceptual Framework Guide 112 of 223
01 · The Question

Does Every Plausible Relationship Between Your Variables Need an Arrow?

You have identified the variables for your study. Now comes another problem: how should they be connected?

If your framework contains five variables, many possible relationships could be drawn among them. Previous studies may report associations between nearly every pair. Some relationships may seem intuitively plausible. Statistical software could estimate even more paths.

Should all of those relationships appear in your conceptual framework?

No. A conceptual framework is not a map of every relationship that could possibly exist. Each connection should represent a substantive proposition that matters to the research question and that the study is prepared to justify and examine.

An arrow is therefore not decoration. Depending on the framework, it may imply direction, causal ordering, mediation, moderation, or another specific relationship. Before drawing it, you should be able to explain what it means and why it belongs.

02 · The Short Answer

A Relationship Belongs When It Is Necessary, Defensible, and Testable

In Brief

A relationship belongs in a conceptual framework when it helps answer the study's research question, has a defensible theoretical or substantive rationale, is consistent with the proposed temporal or causal structure, and can be meaningfully examined with the study's design and data.

A relationship should not be added merely because two variables were correlated in an earlier paper, because software can estimate the path, or because connecting every box makes the framework look more complete. Each path should correspond to an identifiable research proposition.

03 · What You Need to Know

A Conceptual Framework Is an Argument About Relationships

Start with what the framework is supposed to do

A conceptual framework organizes the constructs and relationships that matter to a particular study. It helps make explicit what the researcher expects to be related, how those relationships are understood, and which part of a broader phenomenon the study will examine.

The framework therefore has boundaries.

Suppose the broad phenomenon is faculty adoption of generative AI. Many variables may matter: digital competence, institutional support, self-efficacy, perceived usefulness, peer influence, workload, ethical concerns, leadership, discipline, age, academic rank, and previous technology use.

A single study does not need to connect all of them.

If the focal question concerns whether AI teaching self-efficacy contributes to adoption through perceived usefulness, the framework may reasonably concentrate on:

AI teaching self-efficacy → Perceived usefulness → AI adoption

Other factors may remain relevant without belonging in this particular framework.

An arrow should represent a proposition you can state in words

Before drawing X → Y, complete the sentence:

“The study proposes that X…”

If the arrow is directional, you might finish:

“…contributes to subsequent differences in Y.”

If the study is explicitly associational, a nondirectional relationship may instead mean:

“…is expected to be associated with Y.”

If you cannot translate the arrow into a coherent sentence, its meaning in the framework is probably unclear.

Box Represents a construct or variable relevant to the study.
Connection Represents a substantive proposition about how constructs are related.

Ask whether the relationship answers an actual research question

A strong first test is whether the proposed relationship corresponds to something the study intends to investigate.

Suppose the framework contains:

X → Y
X → M
M → Y
W → Y
X × W → Y

If the research questions concern the direct X–Y relationship, mediation through M, and moderation by W, these connections have identifiable purposes.

If W → M is also drawn merely because one previous study found a correlation between W and M, that relationship may not belong unless it contributes to a stated question or is necessary to specify the theoretical model correctly.

Use theory to explain why the relationship should exist

Theory does more than provide a citation beside an arrow. It should explain why X is expected to relate to Y.

For example, saying that self-efficacy predicts technology adoption because “previous studies found a significant relationship” provides empirical precedent but little explanation.

A stronger rationale describes the process: people who believe they can perform a technology-related behavior may be more likely to initiate and persist in that behavior because perceived capability influences effort, persistence, and willingness to engage with challenging tasks.

Theory therefore helps transform:

X is associated with Y

into:

Here is why X should be connected to Y in this model.

Empirical evidence supports a relationship but does not define it by itself

Prior studies can strengthen the case for a proposed relationship. Consistent findings across populations, designs, and measurement approaches may increase confidence that the relationship deserves consideration.

However, empirical recurrence alone does not determine:

  • whether the relationship is causal;
  • which direction it runs;
  • whether it applies to your population;
  • whether it belongs in your focal research question;
  • whether another variable explains the association.

Previous evidence should therefore be interpreted alongside theory and design.

This is one reason researchers should not include relationships merely because previous studies included the variables.

A significant correlation does not automatically deserve an arrow

Suppose your preliminary data show that X and Z correlate at r =.35.

That may be interesting. It does not automatically mean X → Z belongs in the conceptual framework.

A correlation can arise because:

  • X affects Z;
  • Z affects X;
  • a third variable affects both;
  • the relationship is reciprocal;
  • selection or measurement processes create the association;
  • sampling variability contributes to the observed estimate.

The framework should normally precede confirmatory analysis rather than being reconstructed around whichever correlations become significant.

Direction needs more justification than association

A line connecting X and Y says less than an arrow from X to Y.

A directional arrow generally implies that X is theoretically or temporally prior to Y and may, depending on the context, suggest a causal process.

Researchers should therefore ask:

  • Does X plausibly precede Y?
  • Does theory specify X as an antecedent?
  • Do longitudinal or experimental findings support that ordering?
  • Could Y plausibly affect X instead?
  • Could the relationship be reciprocal?

If direction remains uncertain, it is better to confront what to do when relationship direction is unclear than to draw an arrow solely because conceptual diagrams traditionally contain arrows.

Temporal plausibility should match the proposed relationship

Suppose researchers hypothesize:

Current academic engagement → Prior academic achievement

If prior achievement was measured before current engagement and refers to a genuinely earlier period, that causal direction would be temporally implausible.

By contrast:

Prior academic achievement → Current engagement

may be temporally possible, although timing alone would not establish causality.

Framework development should therefore consider when constructs exist and when changes in them could plausibly influence one another.

Cross-sectional data should make researchers especially cautious about arrows

A cross-sectional survey can provide useful evidence about associations, but simultaneous measurement often provides limited information about temporal ordering.

Suppose self-efficacy and engagement are measured at one time. A model showing:

Self-efficacy → Engagement

may be theoretically defensible, but the cross-sectional data themselves usually cannot establish that self-efficacy preceded engagement.

The arrow should therefore reflect the theoretical model, while the manuscript should calibrate causal claims to what the design supports.

Watch Out

A directional arrow in a conceptual framework does not make the study causal. The strength of the final inference still depends on the research design, temporal information, assumptions, measurement, and analysis.

Distinguish association from causal effect

Some conceptual frameworks are intended to organize associational hypotheses. Others explicitly represent causal mechanisms.

These are not equivalent.

If the evidence supports only association, the manuscript should not silently translate an arrow into “X influences Y” or “X affects Y.” The distinction between association, influence, effect, and prediction should remain visible in both framework construction and interpretation.

Mediators require a pathway, not merely another connection

Suppose M is described as a mediator. Then the framework is not merely stating that X, M, and Y are associated.

It proposes a sequence:

X → M → Y

This means M is expected to arise downstream of X and subsequently contribute to Y.

Such a pathway requires stronger justification than observing that M correlates with both variables. Researchers should explain why the mediator has the proposed position and what it means for the variable to “explain” part of the X–Y relationship.

Moderators should not be drawn like ordinary causes unless that is what you mean

A moderator describes a conditional relationship:

The X–Y relationship changes according to W.

That is different from simply stating:

W → Y

W can have a main relationship with Y without moderating X. Likewise, W can moderate X's effect even if its own lower-order relationship with Y is small.

If moderation is part of the framework, the diagram or accompanying explanation should make the conditional proposition explicit.

Confounders do not necessarily need prominent conceptual-framework boxes

A study may need to adjust for variables because they participate in the causal structure relevant to identification. That does not always mean those variables need equal visual prominence in the substantive conceptual framework.

For example, the conceptual framework may focus on:

Intervention → Self-efficacy → Persistence

while the analysis additionally adjusts for appropriate baseline confounders.

The conceptual framework communicates the focal theoretical process. The causal diagram or analytical model may contain additional variables required for identification.

These representations can overlap without having to be identical.

Not every analytical variable belongs in the conceptual framework

Statistical models can contain variables for many reasons:

  • confounding control;
  • precision improvement;
  • site adjustment;
  • cohort effects;
  • sampling design;
  • baseline adjustment;
  • missing-data modeling.

Adding every such variable to the conceptual framework can obscure the theory the figure is supposed to communicate.

Conceptual framework Emphasizes the constructs and propositions central to the substantive research question.
Analytical specification May include additional variables required for estimation, design, adjustment, or precision.

Every relationship expands the scope of the study

Adding a relationship is not costless.

If you add X → Z, you may need:

  • a theoretical rationale;
  • a hypothesis or research question;
  • a suitable measure of Z;
  • adequate sample information to estimate the path;
  • space to report and interpret the result;
  • a discussion of what the relationship means.

Adding many weakly justified relationships can therefore produce the same problems as adding too many variables to a study.

Ask whether the relationship changes the scientific argument

A useful test is:

If I remove this relationship from the framework, what important part of my scientific argument disappears?

If removing X → M means the study can no longer test its proposed mechanism, the path is probably central.

If removing W's moderating role eliminates an important boundary-condition question, the relationship has a purpose.

If removing Z → Y changes nothing about the research questions, hypotheses, interpretation, or identification strategy, the path may not belong.

Do not add direct paths merely because software modification indices suggest them

In structural equation modeling, software can identify omitted paths that might improve model fit. Such diagnostics can be useful for detecting misspecification.

They are not substitutes for theory.

Adding every suggested path can produce a model tailored to one sample and a conceptual explanation written after the fact.

Post hoc modifications should therefore be theoretically defensible, transparently reported as such, and ideally evaluated in new data.

Model fit does not determine whether a relationship is substantively true

A model can fit observed covariance patterns reasonably well without proving that every directional arrow reflects the real causal process.

Alternative models may produce similar fit. Unmeasured variables may generate the same observed relationships. Reciprocal processes may be simplified into one-directional paths.

Good statistical fit is therefore evidence about compatibility between model and data, not a causal certification stamp.

Alternative plausible frameworks deserve consideration

Suppose theory could support both:

X → Y

and:

Y → X

Rather than choosing one because it produces a better-looking diagram, researchers should ask what evidence discriminates between the alternatives.

Sometimes competing models can be compared statistically. Sometimes the current design cannot distinguish them adequately.

The latter outcome is scientifically acceptable. Uncertainty about the structure is itself information.

Reciprocal relationships may be more realistic than one directional arrow

Some constructs plausibly reinforce one another over time.

Student engagement may increase self-efficacy through successful experiences, while greater self-efficacy subsequently encourages engagement. Institutional support may facilitate technology adoption, while increasing adoption may prompt institutions to expand support.

In such cases, a one-directional framework may provide only a snapshot of a dynamic process.

If the study is genuinely concerned with feedback, researchers should consider whether two variables can influence each other and whether the design can examine that possibility.

Relationships can be theoretically important even when the study cannot estimate all of them

A researcher may recognize that an unmeasured factor probably matters but lack the data to examine it.

The framework should not pretend the broader factor does not exist, but neither must every recognized influence become a measured variable.

Researchers can establish a deliberate scope and acknowledge relationships that fall outside it.

The conceptual framework represents the study's explanatory focus, not every proposition the researcher believes about the world.

A strong framework is selective enough to be falsifiable

If every variable is connected to every other variable, almost any finding can be accommodated after the fact.

A more useful framework makes specific propositions that could be unsupported.

For example:

Professional development increases AI teaching self-efficacy, which subsequently contributes to classroom adoption.

This is more informative than a diagram showing professional development, self-efficacy, adoption, support, age, rank, workload, and discipline connected in every plausible direction.

Specificity makes empirical evaluation possible.

Each relationship should survive four basic questions

Question What you are checking
Does it matter to the research question? Scope and necessity
Why should the variables be related? Theoretical or substantive rationale
Is the proposed direction plausible? Temporal and causal logic
Can the study meaningfully examine it? Design, measurement, and analytical feasibility

If a relationship cannot pass these checks, adding it may make the framework look busier without making the study more informative.

04 · A Practical Example

From a Web of Possible Relationships to a Focused Framework

Hypothetical Example

Faculty AI self-efficacy, perceived usefulness, support, and adoption

A researcher wants to understand faculty adoption of generative AI for teaching. The proposed variables are AI teaching self-efficacy, perceived usefulness, institutional support, and classroom adoption. Previous studies report significant associations among nearly all four variables.

Define the primary question The researcher wants to know whether AI teaching self-efficacy contributes to adoption and whether perceived usefulness is part of that process.
Retain the focal pathway The framework includes self-efficacy → perceived usefulness → adoption because this pathway represents the proposed mechanism.
Evaluate institutional support Prior research suggests institutional support may shape adoption, but the present study does not investigate institutional antecedents or effect heterogeneity. Adding support would expand the primary question substantially.
Set the boundary Institutional support is acknowledged as a plausible contextual factor but excluded from the focal conceptual framework rather than connected simply because it correlates with adoption.
Result The final framework contains fewer relationships, but each one corresponds directly to a theoretical proposition the study is designed to examine.

The researcher has not claimed that institutional support is unimportant. The study has simply drawn a boundary around the particular explanation it intends to evaluate.

05 · What Researchers Often Get Wrong

Common Mistakes When Drawing Relationships in a Conceptual Framework

Misconception

Every pair of variables in the study needs to be connected

No. A conceptual framework should represent the propositions central to the research question. Two variables can both belong in a study without the study hypothesizing a direct relationship between them.

Misconception

A significant correlation in previous research justifies a directional arrow

Correlation supports an association, not necessarily a particular direction or causal relationship. Direction requires theoretical, temporal, or stronger design-based justification.

Misconception

A more connected framework is more comprehensive

More connections can instead make the research question diffuse. A strong framework is selective enough that each relationship has an identifiable theoretical and analytical purpose.

Misconception

If SEM software can estimate the path, the relationship belongs

Estimability is not theoretical justification. A model can estimate many relationships that the study has no substantive reason to propose.

Misconception

A good-fitting model proves the arrows are correct

No. Model fit describes compatibility with observed data under the specified model. Alternative causal structures may fit similarly, and unmeasured processes may generate the same covariance pattern.

Misconception

Every covariate in the analysis should appear in the conceptual framework

No. Adjustment and design variables may be necessary analytically without being central constructs in the substantive conceptual model.

06 · What This Means for You

Make Every Arrow Earn Its Place

A simple decision framework

If the relationship directly answers a research question or hypothesis
Include it when the theoretical and methodological rationale is defensible.
If the relationship represents an essential mediator, moderator, or antecedent process
Include it and make the proposed role explicit rather than drawing an ambiguous connection.
If evidence establishes association but not direction
Avoid overstating the relationship; use a nondirectional formulation or explicitly identify the proposed direction as theoretical when appropriate.
If the path exists only because previous studies found it significant
Look for a theoretical and study-specific reason before adding it.
If removing the relationship changes nothing important about the study
Consider leaving it out and keeping the framework focused.

A conceptual framework should allow readers to see the study's argument before they encounter the statistical analysis. If they cannot tell which relationships are central and why, adding more arrows will rarely solve the problem.

07 · A Quick Checklist

Before Adding a Relationship to Your Conceptual Framework, Check This

For every proposed connection, check:
Does this relationship help answer a stated research question or hypothesis?
Can I explain why the variables should be related using theory or substantive reasoning?
Does prior evidence support the proposition without being the sole justification for it?
If the relationship is directional, is that direction temporally and theoretically plausible?
Does the wording distinguish association from causal influence when necessary?
If mediation or moderation is intended, does the diagram represent that role accurately?
Can the study's design and measurements meaningfully examine the proposed relationship?
Am I adding the path because of theory rather than because preliminary analysis or software suggested it?
Would removing this relationship eliminate an important part of the study's scientific argument?
08 · Frequently Asked Questions

Frequently Asked Questions About Relationships in Conceptual Frameworks

Does every variable in a conceptual framework need to connect to every other variable?

No. Connect variables only where the study proposes a meaningful relationship. A framework in which every variable connects to every other variable often lacks a clear theoretical focus.

Can I add a relationship because previous studies found a significant correlation?

Prior association can support inclusion, but it should usually be accompanied by a theoretical or substantive rationale. A significant correlation alone does not establish direction or causality.

Do arrows in a conceptual framework imply causality?

They often imply direction and may be interpreted causally, depending on the field and accompanying text. Researchers should therefore define what the arrows mean and avoid causal language when the design supports only association.

Should control variables appear in the conceptual framework?

Not necessarily. If a variable is included only for analytical adjustment, precision, site effects, or another technical reason, it may belong in the analytical specification without being central to the substantive conceptual framework.

Can I include a relationship that has little previous research?

Yes, if there is a defensible theoretical or substantive rationale. New relationships are part of how research advances. The claim should be calibrated to the available evidence and clearly identified as a proposition being examined rather than an established fact.

What if previous studies disagree about a relationship?

Conflicting evidence can itself justify investigation. Examine whether differences in populations, designs, measures, or contexts explain the inconsistency, and avoid representing the relationship as settled when it is not.

Can I change my conceptual framework after seeing the results?

New findings can motivate a revised framework, but post hoc modifications should be identified as exploratory rather than presented as though they were specified from the beginning. Ideally, important revisions should be evaluated in new data.

How many relationships should a conceptual framework contain?

There is no universal number. Include the relationships needed to represent the study's theoretical argument and research questions while keeping the framework interpretable and feasible to examine.

09 · The Bottom Line

A Relationship Belongs in the Framework Only When It Contributes to the Study's Argument

The Bottom Line

A relationship belongs in a conceptual framework when it represents a proposition that matters to the research question, has a defensible theoretical or substantive basis, is compatible with the proposed temporal or causal ordering, and can be meaningfully examined by the study.

Do not turn the framework into a catalogue of every association reported in the literature. Each connection should communicate something specific enough to justify, investigate, and potentially find unsupported.

10 · Sources and Further Reading

Sources and Further Reading

11 · Cite this Guide

How to Cite This Guide

This guide is intended to be read, shared, and used in research, teaching, and academic work. If you draw on its ideas, explanations, or other content, please acknowledge the source by citing the guide. Doing so gives appropriate credit and helps your readers locate the original resource.

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