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Statistics & data analysis

SEM analysis help for AMOS and SmartPLS models

Structural equation modelling rewards careful setup and punishes shortcuts. We help you specify, test and report a CB-SEM or PLS-SEM model that fits your theory, and explain every number so you can defend it in front of a committee or reviewer.

CB-SEM or PLS-SEM: choosing before you click

A surprising number of SEM problems start with the wrong family of method. Covariance-based SEM (AMOS, lavaan, Mplus) tests whether your whole model reproduces the observed covariance matrix, so global fit indices matter and reflective, well-established scales are the norm. Partial least squares SEM (SmartPLS, seminr) maximises explained variance in the endogenous constructs and is often chosen for prediction-oriented or exploratory work, formative constructs or complex models.

CB-SEMPLS-SEM
Main goalConfirm a theoryExplain and predict
Typical softwareAMOS, lavaan, MplusSmartPLS, seminr
Fit assessmentCFI, TLI, RMSEA, SRMR, chi-squareR², Q², PLSpredict; SRMR is optional
Formative constructsAwkwardHandled directly

Neither is a fix for small samples or weak measures. We help you pick the approach that suits your research question and justify it in your methodology chapter.

The two-step process we follow

Step one: the measurement model

Before any hypothesis is tested, we check that each construct is measured well. In AMOS that means a confirmatory factor analysis with standardised loadings, composite reliability and average variance extracted (AVE). In SmartPLS it means indicator loadings, Cronbach's alpha, rho_A and composite reliability, and AVE. Discriminant validity is assessed with the HTMT ratio, with the Fornell-Larcker criterion reported alongside if your field still expects it.

Step two: the structural model

Only once measurement holds do we estimate paths. We check collinearity (inner VIF), bootstrap the indirect effects for mediation rather than relying on the Sobel test, and set up moderation through interaction terms or multi-group analysis. Effect sizes (f²) and predictive relevance are reported where they apply.

Common problems we help resolve

  • Poor fit in AMOS. We look for the cause, such as a cross-loading item or an omitted path, rather than adding error covariances simply because modification indices suggest them.
  • Heywood cases such as negative error variances, usually linked to small samples or constructs with only two indicators.
  • Discriminant validity failures where two constructs are effectively measuring the same thing.
  • Common method bias concerns, addressed with a full collinearity test, a marker variable or a latent method factor, depending on design.
  • Non-normal or ordinal data, where we switch to robust estimators or bootstrapping instead of ignoring the issue.

If your questionnaire is still being built, getting the scales right at that stage through our survey and questionnaire design support prevents many of these problems.

What to send us

Share your conceptual model or hypotheses, the questionnaire with item wording, your data file (SPSS, Excel or CSV), and any output you have already produced. Mention which software your university licenses and what your supervisor expects to see. A focused review of an existing model often takes a few days; a full measurement and structural analysis typically takes one to two weeks. You can start through a free quote request.

It also helps to tell us how the data were collected. Whether responses came from a single survey at one time point, whether any items were reverse-worded, and how missing values were handled all affect estimator choice and how much weight a common method bias test can carry. Small details like these often decide whether a model converges cleanly at the first attempt.

Analysis you can stand behind

SEM output is dense, and examiners know it. They often ask why an item was dropped, why HTMT was used, or how a mediation effect was tested. We document each decision and its justification so that you, as the researcher, can answer those questions confidently. Your model and conclusions remain your own work, and our role follows the principles in our academic integrity policy.

What you get

  • A model specification diagram that matches your hypotheses
  • Measurement model results: loadings, reliability, convergent and discriminant validity
  • Structural model results with path coefficients, bootstrapped confidence intervals and R²
  • Mediation and moderation tests set up and interpreted correctly
  • APA-style tables and a results write-up template for you to adapt in your own words
  • Saved model files (.amw, SmartPLS project or lavaan script) so every result can be rerun

What we don't do

  • Adjusting the model purely to chase better fit statistics without theoretical justification
  • Writing your discussion chapter; we explain the findings so you can interpret them yourself
  • Guaranteeing that a hypothesis will be supported

Our integrity policy

How it works

  1. Describe your project

    Level, deadline and what you need help with.

  2. Agree a written scope

    What's included, the price and the timeline.

  3. Work in stages

    Check-ins so you can steer the work.

  4. Review and ask

    Explanations and follow-up questions included.

Frequently asked questions

What is the difference between AMOS and SmartPLS?
AMOS runs covariance-based SEM and is suited to confirming established theory with reflective constructs and global fit indices. SmartPLS runs PLS-SEM, which focuses on explained variance and prediction and handles formative constructs and complex models more easily.
What sample size do I need for SEM?
There is no single number. CB-SEM generally needs larger samples, often 200 or more, depending on model complexity and loadings, while PLS-SEM minimums are better set with methods such as the inverse square root approach or a power analysis than with the outdated ten-times rule.
My AMOS model fit is poor. Can you fix it?
We can diagnose why it is poor and make changes that are theoretically defensible, such as removing a weak item. We will not add arbitrary error covariances just to reach a cut-off, because reviewers spot that quickly.
Can you help me test mediation and moderation?
Yes. We test indirect effects with bootstrapped confidence intervals and moderation with interaction terms or multi-group analysis, and explain how to report each one.
Do you also work in lavaan or Mplus?
Yes. Many clients prefer lavaan in R because it is free and fully scriptable, and we can reproduce an AMOS model in lavaan if needed.
Will my data and model stay confidential?
Yes. Your files are used only for your project and are never shared. We can sign a non-disclosure agreement on request.

Ready when you are

Share a few details about your project and get a written quote, with no obligation.

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