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#SmartPLS4 Series - 41 - Analyze, Interpret, and Report Higher Order Reflective Formative Model thumbnail

#SmartPLS4 Series - 41 - Analyze, Interpret, and Report Higher Order Reflective Formative Model

Research With Fawad·
5 min read

Based on Research With Fawad's video on YouTube. If you like this content, support the original creators by watching, liking and subscribing to their content.

TL;DR

Validate every lower-order reflective construct (reliability, validity, and discriminant validity) before generating latent variable scores for higher-order construction.

Briefing

Higher-order constructs that behave “reflective at the lower level but formative at the higher level” can be validated in SmartPLS4 using a two-stage approach—first validating all lower-order measurement models, then building the higher-order construct from the lower-order latent variable scores and checking convergent validity, collinearity, and indicator significance.

The session focuses on a reflective–formative higher-order model where three lower-order dimensions (Vision development and rewards) collectively form a higher-order construct (internal marketing). At the lower level, each dimension is treated as reflective, meaning multiple items load onto each dimension and standard reliability/validity checks apply. Only after those lower-order constructs pass reliability and validity are latent variable scores exported (via PLS-SEM path modeling and “export to CSV”) and re-imported into a second SmartPLS project to construct the higher-order measurement model.

Two versions of the two-stage method are contrasted: embedded and disjoint. In the embedded two-stage approach, the first stage models the entire higher-order construct, while the disjoint approach keeps stage one limited to lower-order components—no higher-order construct appears in the path model at that stage. In stage two, the higher-order construct is measured formatively using the saved lower-order latent variable scores as indicators. The practical difference in SmartPLS is that disjoint stage two uses latent variable scores for the lower-order constructs that belong to the higher-order construct, while other constructs without higher-order structure remain measured using their original indicators.

Once the higher-order reflective–formative model is specified in stage two (with measurement model directions inverted so the higher-order construct is formative), validation proceeds with criteria tailored to formative measurement. Convergent validity at the higher-order level requires a “global” single-item measure representing the whole construct (planned during questionnaire design). A redundancy analysis is run by linking the higher-order formative construct to this global reflective measure; the resulting path coefficient should exceed a threshold (the session cites 0.708), indicating the formative construct explains more than half of the variance in the alternative global measure.

Next comes collinearity diagnostics using VIF values for the formative indicators (should be below 5). Then the significance of outer weights is tested via bootstrapping. If outer weights are not significant, the procedure shifts to outer loadings: indicators can be retained when loadings are sufficiently high (the session uses 0.5 as the practical cutoff) and significant; if both weight and loading fail, the indicator should be removed.

After measurement model validation at both levels, the workflow moves to structural assessment: bootstrapping (with bias-corrected and accelerated options and one-tailed testing when directions are known) is used to evaluate path coefficients and p-values for hypotheses. The session also demonstrates mediation testing for cases where the higher-order construct participates in indirect effects. Mediation is reported through indirect effects (specific indirect effects), total effects, and direct effects; partial mediation is identified when the direct effect remains significant alongside a significant indirect effect. The end result is a repeatable reporting template: validate lower-order reflective constructs first, generate latent scores, validate the higher-order reflective–formative construct with redundancy analysis, VIF, outer weights/loadings, then test direct, indirect, and mediated relationships using bootstrapped significance.

Cornell Notes

The session lays out a two-stage SmartPLS4 method for higher-order constructs that are reflective at the lower level but formative at the higher level. First, every lower-order reflective dimension must be validated for reliability and validity. Then latent variable scores for those lower-order dimensions are exported and re-imported to build the higher-order construct in stage two, where the higher-order measurement model is formative. Higher-order validation uses redundancy analysis for convergent validity (via a planned global single-item measure), VIF checks for collinearity (VIF < 5), and bootstrapped significance tests for outer weights and—if needed—outer loadings (cutoff around 0.5). After measurement validation, structural paths and mediation effects are tested with bootstrapping and reported using direct, indirect, and total effects.

Why does the disjoint two-stage approach matter for reflective–formative higher-order constructs in SmartPLS4?

In the disjoint approach, stage one includes only the lower-order components in the model—no higher-order construct is placed in the path model at that stage. That means the lower-order reflective measurement models are estimated and validated on their own first. After saving the lower-order latent variable scores, stage two uses those scores as formative indicators for the higher-order construct. This differs from the embedded approach, where stage one models the entire higher-order construct, and it can change how indicators are handled during estimation even if final results may be similar.

What is the required order of validation when building a reflective–formative higher-order construct?

Lower-order constructs must be validated first. That includes checking reliability and validity (e.g., outer loadings, reliability metrics, and discriminant validity) for each reflective lower-order dimension. Only after those checks pass should latent variable scores be generated and used to form the higher-order construct. The session emphasizes that validating the higher-order construct without first validating the lower-order measurement models is not acceptable.

How is convergent validity assessed for a formative higher-order construct?

Convergent validity for a formative higher-order construct is assessed through redundancy analysis, which requires a global single-item measure that represents the entire higher-order construct. The global item must be planned during questionnaire design; otherwise, the redundancy procedure can’t be executed. After collecting data, the higher-order formative construct is linked to the global reflective measure, and the path coefficient is evaluated against a threshold cited as 0.708.

What do VIF values and outer weights/loadings determine during higher-order formative validation?

VIF values diagnose collinearity among formative indicators; the session uses a rule of thumb that VIF should be less than 5. Then bootstrapping tests whether outer weights are significant. If outer weights are significant, the indicators are kept. If outer weights are not significant, outer loadings are examined: indicators can still be retained when outer loadings are sufficiently high (the session uses 0.5 as the practical cutoff) and significant; if both weight and loading are weak, removal is recommended.

How are mediation effects reported when a higher-order construct is involved?

Mediation reporting requires three pieces: the specific indirect effect (e.g., internal marketing → internal service quality → organizational performance), the total effect (internal marketing → organizational performance), and the direct effect (internal marketing → organizational performance while the mediator is included). The session identifies partial mediation when both the indirect effect and the direct effect are significant; full mediation would occur if the direct effect becomes insignificant.

Review Questions

  1. In the disjoint two-stage approach, what exactly is saved after stage one, and how is it used in stage two?
  2. What information must be planned before data collection to run redundancy analysis for convergent validity of a formative higher-order construct?
  3. If outer weights are insignificant for a formative indicator, what decision rule does the session use to decide whether to keep or remove that indicator?

Key Points

  1. 1

    Validate every lower-order reflective construct (reliability, validity, and discriminant validity) before generating latent variable scores for higher-order construction.

  2. 2

    Use the disjoint two-stage approach by estimating stage one with only lower-order components, then building the higher-order formative model in stage two using saved latent scores.

  3. 3

    In SmartPLS4 stage two, treat the higher-order construct as formative (reflective–formative) by adjusting the measurement model direction (inverting measurement model as needed).

  4. 4

    Assess higher-order convergent validity via redundancy analysis using a planned global single-item measure representing the whole higher-order construct; use a threshold around 0.708 for the redundancy path coefficient.

  5. 5

    Check collinearity for formative indicators using VIF values and keep the formative measurement model when VIF values are below 5.

  6. 6

    Confirm formative indicator quality through bootstrapping: outer weights significance first, then outer loadings significance (with a practical cutoff around 0.5) if weights are not significant.

  7. 7

    After measurement validation, evaluate structural hypotheses and mediation by bootstrapping and reporting direct, indirect (specific indirect), and total effects to determine partial vs full mediation.

Highlights

The disjoint two-stage method keeps the higher-order construct out of stage one, then uses saved lower-order latent variable scores as formative indicators in stage two.
Higher-order formative convergent validity depends on a planned global single-item measure; without it, redundancy analysis can’t be performed.
Formative validation follows a clear decision chain: VIF for collinearity, bootstrapped outer weights, and—if needed—outer loadings (around 0.5) to decide indicator retention.
Mediation reporting distinguishes partial vs full mediation by checking whether the direct effect remains significant when the mediator is included.

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