Request for Guidance on robustness checks using PLS SEM

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Tushar saha

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Dec 31, 2025, 7:19:15 PM (11 days ago) 12/31/25
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Dear Neeraj Sir, Professors and Scholars,


The query seeks clarification on the procedure for determining the number of path combinations.


image.png

Considering the model, twenty-two bootstrapped total paths are presented. However, the current research tests only sixteen hypotheses. The hypotheses consist of ten direct paths and six mediating paths. The analyses are conducted using R Studio.

Inquires

Part 1: Checking the Nonlinear Effects using Ramsey’s RESET

For this purpose, path combinations are framed according to the number of incoming arrows that point toward DV. The combinations are as follows:

> resettest(EEE ~ GGG + HHH + FFF, power = 2:3, type= "regressor", compositscore_004)

> resettest(DDD ~ EEE + FFF, power = 2: 3, type= "regressor", compositscore_004)

> resettest(CCC ~ DDD + EEE, power = 2:3, type= "regressor", compositscore_004)

> resettest(AAA ~ DDD + EEE, power = 2:3, type= "regressor", compositscore_004)

> resettest(BBB ~ DDD + EEE, power = 2:3, type= "regressor", compositscore_004)

Subsequently, each combination is checked between DV and IDV levels, such as

HHH

HHH2= HHH^2

HHH3= HHH^3

Model_HHH= summary(lm(EEE ~ HHH+ HHH^2+ HHH^3))

Model_HHH1= lm(EEE ~ HHH+ HHH^2+ HHH^3)

effectsize::cohens_f(Model_HHH1)

.

.

And so on.

Inquiry 1: Is the selection of five distinct paths for Ramsey’s RESET testing appropriate based on the model?

Part 2: Endogeneity test using the Gaussian copula approach

In this regard, please suggest the initial steps to map copula terms within our model, particularly given the interrelationship positioning among variables.

Inquiry 2: How do we begin fitting the copula terms?

Inquiry 2a: Could we consider final DVs, specifically AAA, BBB, and CCC, along with their corresponding IDVs?

Inquiry 2b: Otherwise, proceed with the submodel that represents only our hypotheses, particularly the mediation level?

 Inquiry 2c: Or, start with how many incoming arrows connect toward the DV? For example:

image.png

Part 3: To address CMV, the marker variable was incorporated into our questionnaire instrument. After deducting the effect of the marker, the resulting composite latent values were used for both analyses above.

Inquiry 3: Is it correct to proceed with both analyses using the composite latent values?

 

Thank you for being so supportive.

Regards,

Tushar



Neeraj Kaushik

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Jan 5, 2026, 2:16:02 AM (7 days ago) Jan 5
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Dear Tushar
You've analyzed correctly
1. Non-linearity is checked only for the DVs
You've checked all paths that point towards the DVs, which is appropriate for Ramsey’s RESET testing.
However do not check the square or cubic effect individually as its an endless process.
Decide based on Ramsey's test.
2. You have written the equations correctly for the Endogeneity test using the Gaussian copula approach.
Now run each one by one.
3. Ideally, the marker variable should not be correlated with any of the DV or IDV.
If so, no further analysis is needed.
If there is any correlation, then you shd use marker variable, like a control avr and nullify its effect.
Best wishes  

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Tushar saha

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Jan 5, 2026, 8:04:25 PM (6 days ago) Jan 5
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I sincerely appreciate, Sir, your review and confirmation of the inquiries.

Thank you, Sir, and the DataAnalysis group once again.


Tushar


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