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1. The Concept of Higher Order Constructs (HOC)/Second Order/Hierarchical Components Models (HCM) thumbnail

1. The Concept of Higher Order Constructs (HOC)/Second Order/Hierarchical Components Models (HCM)

Research With Fawad·
5 min read

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TL;DR

Model a broad concept (e.g., CSR) as a higher order construct built from multiple lower-order dimensions, and connect only the higher-order construct to the outcome when that is the research target.

Briefing

Higher order constructs—also called hierarchical component models—in PLS provide a way to measure a broad, abstract concept using multiple more specific subdimensions, while keeping the structural model simpler. Instead of linking every lower-order dimension directly to an outcome, researchers can connect only the higher-order construct to the dependent variable. In the example given, CSR is the higher-order construct, built from four lower-order dimensions (economic, legal, ethical, and discretionary). The model then tests how CSR relates to organizational performance, without forcing separate paths from each subdimension to that performance outcome.

This approach brings several practical advantages. First, it reduces the number of path relationships, improving model parsimony—an important hallmark of scientific modeling. If the research goal is the overall effect of CSR on organizational performance, then making separate links from each CSR dimension to performance becomes unnecessary. By collapsing those relationships into a single higher-order path (CSR → organizational performance), the model becomes leaner while still representing the underlying multidimensional structure.

Second, higher order constructs help address the “bandwidth–fidelity dilemma.” Bandwidth reflects the variety and complexity of information, while fidelity reflects how thorough and accurate the testing is. When each lower-order dimension is linked to the outcome, the model can generate more variety but may not deliver the focused thoroughness needed for the specific research question. Framing the analysis around the higher-order construct aims to keep the information targeted: variety is minimized to what matters for the higher-level concept, while the relationship being tested remains precise (CSR as a whole linked to organizational performance).

Third, higher order constructs can reduce collinearity among formative indicators. By reorganizing indicators into a higher-order structure, researchers can rearrange how formative components contribute across subdimensions, which can lessen redundancy and stabilize estimation.

Using higher order constructs also requires careful decisions before analysis. The higher-order construct must be grounded in well-developed measurement theory, and researchers must determine whether the lower-order components and the higher-order construct are reflective or formative—choices that depend on conceptualization and should align with theory-specific literature. Four types are described based on combinations of reflective and formative at the first and second-order levels (e.g., reflective–reflective, reflective–formative, formative–reflective, formative–formative). A key implication of reflective versus formative directionality is whether the higher-order construct would still exist if one lower-order dimension were removed.

Methodologically, two prominent estimation strategies are highlighted: the repeated indicators approach and the two-stage approach (with two-stage being the usual choice). The transcript notes that simulation work (citing Becca, 2012, and coauthors) finds extended repeated indicators can reduce bias in estimating the measurement model linking lower to higher constructs for reflective–formative types, while two-stage approaches can improve parameter recovery for paths from exogenous constructs to the higher-order construct and from the higher-order construct to endogenous outcomes. Performance differences tend to shrink when sample sizes are large.

Finally, several common mistakes are flagged: failing to assess measurement quality for higher-order constructs (not just lower-order components), misreading higher–lower relationships as structural paths rather than measurement relationships, and checking discriminant validity only for lower-order constructs while neglecting discriminant validity at the higher-order level. The session ends by pointing to upcoming guidance on PLS implementation and validation, alongside references including a paper in the Australasian Marketing Journal by Saiset and others.

Cornell Notes

Higher order constructs (hierarchical component models) let researchers model an abstract variable—like CSR—using multiple lower-order dimensions (economic, legal, ethical, discretionary) while testing only the higher-order construct’s relationship to an outcome (e.g., organizational performance). This reduces the number of paths in the structural model, improving parsimony, and can help with the bandwidth–fidelity trade-off by focusing testing on the higher-level concept. Higher order constructs may also reduce collinearity among formative indicators by reorganizing indicators into a higher-level structure. Proper use depends on measurement theory and on correctly specifying whether relationships are reflective or formative at each order level. Estimation commonly uses repeated indicators or two-stage approaches, with different trade-offs in bias and parameter recovery.

How does a higher order construct change model specification compared with linking every subdimension directly to an outcome?

Instead of estimating separate paths from each lower-order dimension to the dependent variable, the model links only the higher-order construct to the outcome. In the CSR example, economic, legal, ethical, and discretionary are treated as lower-order dimensions that together form CSR. The structural test becomes CSR → organizational performance, making the lower-order-to-outcome paths unnecessary for the stated research goal.

What is the bandwidth–fidelity dilemma, and why does a higher order construct help?

Bandwidth refers to the variety/complexity of information, while fidelity refers to how thorough and accurate the testing is. When each dimension is linked to the outcome, the model can generate high variety but may not match the intended focus. Modeling the higher-order construct (CSR as a whole) narrows the information to what matters for the research question while keeping the relationship being tested precise (CSR → organizational performance).

How can higher order constructs reduce collinearity among formative indicators?

Formative indicators can be correlated, creating collinearity problems. Higher order constructs provide a vehicle to rearrange indicators and constructs across subdimensions of a more abstract construct. By restructuring how formative components combine into the higher-level variable, redundancy can be reduced, improving estimation stability.

Why do reflective vs formative specifications matter for higher order constructs?

The direction of arrows reflects whether lower-order components are indicators of the higher-order construct (reflective) or whether they form it (formative). This affects what happens if a lower-order dimension is removed. The transcript’s example contrasts cases where the higher-order construct would still exist without a particular lower-order component (reflective directionality) versus cases where removing a component would change the existence/composition of the higher-order construct (formative directionality).

What are the main approaches for estimating higher order constructs in PLS, and what trade-offs are mentioned?

Two prominent approaches are the repeated indicators approach and the two-stage approach (commonly used). Simulation results cited for reflective–formative higher order constructs suggest extended repeated indicators can yield smaller bias in estimating the measurement model (lower-to-higher relationships), while two-stage approaches can improve parameter recovery for paths from exogenous constructs to the higher-order construct and from the higher-order construct to endogenous outcomes. Differences tend to diminish with sufficiently large sample sizes.

What are common validation mistakes when working with higher order constructs?

Several pitfalls are highlighted: (1) assessing reliability/validity only for lower-order components while neglecting higher-order construct quality; (2) treating higher–lower relationships as structural model relationships rather than measurement relationships; and (3) checking discriminant validity for lower-order constructs but skipping discriminant validity for the higher-order construct as a whole.

Review Questions

  1. In a CSR model predicting organizational performance, what changes in the path structure when CSR is modeled as a higher order construct rather than four separate predictors?
  2. How would you decide whether a higher order construct should be specified as reflective or formative at each order level, and what does that choice imply about the construct’s existence if a lower-order dimension is removed?
  3. Which estimation approach (extended repeated indicators vs two-stage) is associated with smaller bias in the measurement model, and which is associated with better parameter recovery for structural paths?

Key Points

  1. 1

    Model a broad concept (e.g., CSR) as a higher order construct built from multiple lower-order dimensions, and connect only the higher-order construct to the outcome when that is the research target.

  2. 2

    Use higher order constructs to reduce path complexity and achieve model parsimony by avoiding unnecessary lower-order-to-outcome relationships.

  3. 3

    Higher order constructs can mitigate the bandwidth–fidelity dilemma by narrowing variety to the higher-level concept while keeping the tested relationship precise.

  4. 4

    Reorganizing formative indicators into a higher order structure can reduce collinearity among indicators.

  5. 5

    Reflective vs formative specification must be justified by measurement theory and aligned with existing literature, since it changes how the higher-order construct depends on its lower-order dimensions.

  6. 6

    Choose between repeated indicators and two-stage estimation with awareness of trade-offs in bias (measurement model) versus parameter recovery (structural paths), and consider sample size.

  7. 7

    Validate measurement quality at the higher-order level too—don’t stop at lower-order reliability/validity or discriminant validity checks.

Highlights

CSR is presented as a higher order construct formed by economic, legal, ethical, and discretionary dimensions, with the structural test focusing on CSR → organizational performance.
Higher order constructs reduce the number of structural paths, improving parsimony when the goal is the overall effect of a multidimensional concept.
The bandwidth–fidelity dilemma is addressed by testing a precise higher-level relationship while limiting unnecessary variety from dimension-by-dimension paths.
Extended repeated indicators can reduce bias in estimating the measurement model, while two-stage approaches can improve parameter recovery for structural paths—especially when sample sizes are adequate.
Common errors include treating higher–lower relationships as structural paths and neglecting discriminant validity for the higher-order construct as a whole.

Topics

Mentioned

  • PLS
  • HOC
  • HCM
  • CSR
  • EC
  • LC
  • DC
  • ECC
  • SCCM
  • SL