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How to Validate Formative Model in SmartPLS

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

Check collinearity first using VIF because formative indicators are not interchangeable and high collinearity destabilizes weight estimation.

Briefing

Validating formative indicators in SmartPLS starts with a single, practical question: do the indicators suffer from collinearity? In formative measurement models, indicators are not interchangeable—they represent different concepts—so high correlations between them are a red flag. When collinearity is high, SmartPLS weight estimation becomes unstable and the statistical significance of those weights can be distorted, undermining confidence in which indicators truly contribute to the latent construct. The first diagnostic step is therefore to check collinearity using the Variance Inflation Factor (VIF). Common rule-of-thumb thresholds are VIF ≥ 5 (suggesting a potential collinearity problem) and VIF ≥ 3.3 (a more conservative warning level). If all VIF values stay below 5, the formative indicators can proceed without collinearity treatment; if any exceed 5, collinearity issues are present and the formative measurement model should be reconsidered (the transcript notes that handling is outside the scope here).

Once collinearity is cleared, the next validation step targets whether each formative indicator meaningfully contributes to the composite construct. SmartPLS evaluates this through outer weights, which come from a multiple regression framework: the latent variable score acts as the dependent variable, while the formative indicators act as independent variables. Outer weights indicate each indicator’s relative contribution to the latent construct, and their significance is typically assessed via bootstrapping (the transcript mentions 5,000 as a recommended number, though examples use 500 for demonstration). If an indicator’s outer weight is significant, it is treated as contributing and is retained.

But a non-significant outer weight doesn’t automatically mean the indicator must be removed. The workflow then shifts to outer loadings, using a decision logic tied to both magnitude and significance. The transcript uses 0.5 as a practical benchmark for outer loadings: if outer loadings are below 0.5, the indicator’s loading significance is checked. If the outer loading is significant even when below 0.5, the indicator can still be retained. Conversely, if the outer loading is not significant and remains below the threshold, the indicator is deleted. A simple flow emerges: assess VIF first; then test outer weights; if outer weights are insignificant, evaluate outer loadings and their significance; keep indicators that meet the significance criteria.

The transcript then walks through two practical examples. In the first, a formative construct (CSR) has four formative indicators; bootstrapping shows some outer weights are insignificant, but outer loadings for those indicators are significant (including cases where one loading is above 0.5 and another is below 0.5 yet still significant). The result: all formative indicators are retained. In the second example, a higher-order formative construct is validated after confirming VIF values are acceptable and bootstrapped outer weights and outer loadings are significant, leading to a clean validity conclusion.

Finally, reporting is standardized: results are presented in a table listing each formative indicator’s outer weight (with T statistics and P values), outer loading, and the VIF values, along with the construct name(s). This creates an auditable record of collinearity diagnostics and indicator validity decisions for formative measurement models in SmartPLS.

Cornell Notes

Formative indicator validation in SmartPLS begins by checking collinearity with VIF, using common thresholds such as VIF ≥ 5 (problem) and VIF ≥ 3.3 (warning). If VIF values are acceptable, the workflow moves to outer weights, which are derived from a multiple regression where the latent variable score is the dependent variable and formative indicators are independent variables. Outer weights are tested for significance via bootstrapping; significant outer weights support indicator contribution. If an outer weight is non-significant, the process checks outer loadings: indicators can be retained when outer loadings are significant even if they fall below 0.5, but are deleted when loadings are not significant. Results are typically reported in a table with outer weight statistics, outer loadings, and VIFs.

Why does collinearity matter specifically for formative indicators in SmartPLS?

Formative indicators are not interchangeable; they measure different concepts. High correlations among formative indicators create collinearity, which can destabilize weight estimation and distort the statistical significance of those weights. That makes it harder to trust which indicators genuinely contribute to the latent construct.

What VIF thresholds are used as rule-of-thumb checks for collinearity?

The transcript cites two widely used cutoffs: VIF ≥ 5 signals a potential collinearity problem, and VIF ≥ 3.3 is also treated as a potential issue (a more conservative warning). The practical decision rule in the examples is that if all VIF values are below 5, collinearity is not considered critical.

How are outer weights computed and what do they represent?

Outer weights come from a multiple regression setup in which the latent variable score is the dependent variable and the formative indicators are independent variables. Bootstrapping is then used to test whether each indicator’s outer weight is significant, which indicates whether the indicator contributes meaningfully to the formative composite construct.

If an outer weight is non-significant, what is the next step?

The workflow shifts to outer loadings. The transcript uses 0.5 as a benchmark for loading magnitude. If outer loading is below 0.5, significance still matters: a significant outer loading can justify retaining the indicator even with a sub-0.5 value. If the outer loading is not significant, the indicator is deleted.

What does the indicator decision logic look like in practice?

The decision flow is: (1) check VIF for collinearity; (2) test outer weight significance via bootstrapping; (3) if outer weight is insignificant, check outer loading magnitude and significance; (4) retain indicators when outer loading is significant (even if < 0.5), and delete when outer loading is not significant. The CSR example retains indicators despite some non-significant outer weights because their outer loadings are significant.

How should validity results for formative indicators be reported?

The transcript recommends a table that lists each formative indicator’s outer weight, T statistics, P values for the outer weight, outer loading, and VIF values, grouped under the construct name(s) (e.g., CSR1–CSR4). This ties collinearity diagnostics and indicator validity decisions into one reportable summary.

Review Questions

  1. What specific role does VIF play before testing outer weights in a formative measurement model?
  2. Under what conditions can an indicator be retained when its outer weight is non-significant?
  3. What information fields should appear in a reporting table for formative indicator validity in SmartPLS?

Key Points

  1. 1

    Check collinearity first using VIF because formative indicators are not interchangeable and high collinearity destabilizes weight estimation.

  2. 2

    Use common VIF thresholds such as 5 (problem) and 3.3 (warning) to decide whether collinearity is critical.

  3. 3

    Compute and test outer weights via bootstrapping; significant outer weights indicate meaningful contribution to the formative composite construct.

  4. 4

    If an outer weight is non-significant, evaluate outer loadings and their significance rather than deleting immediately.

  5. 5

    Use 0.5 as a practical outer-loading benchmark, but retain indicators when outer loadings are significant even if below 0.5.

  6. 6

    Delete formative indicators only when outer loadings are not significant (especially when they fall below the 0.5 benchmark).

  7. 7

    Report validity with a table that includes outer weight statistics, outer loadings, and VIF values for each formative indicator.

Highlights

Formative indicators should not behave like interchangeable items: high correlations show up as collinearity and can undermine weight significance.
Outer weights come from a regression where the latent variable score is the dependent variable and formative indicators are predictors.
A non-significant outer weight doesn’t automatically trigger deletion; outer loading significance can still justify keeping the indicator.
The validation workflow is essentially: VIF → outer weights (bootstrapped) → outer loadings (if needed) → table reporting.

Topics

Mentioned

  • VIF
  • PLS