Manuel B. Garcia

Manuel B. Garcia serves as the Senior Director for Educational Technology and Digital Learning at FEU Institute of Technology, Manila, Philippines. Read More

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How Much Must You Understand About an Analysis Performed by a Consultant?

Researchers who hire statistical consultants do not necessarily need to master every mathematical derivation, but they must understand the decisions and limitations underlying their published findings. Learn what level of statistical understanding is necessary, how to question consultants effectively, and when an analysis requires further verification before publication.

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Understanding Consultant Statistical Analysis Guide 563 of 590
01 · The Question

Can You Defend Research Findings When Someone Else Performed the Analysis?

You hire a statistical consultant to analyze data from a research project. The consultant returns a set of tables containing regression coefficients, confidence intervals, model diagnostics, and significance tests. The manuscript's results section is drafted, and the findings appear to answer your research questions.

During a research presentation, however, someone asks why the consultant selected a particular model. Another person asks how missing observations were handled and whether the findings would change under a different specification.

You know what the research was intended to investigate, but you cannot explain the analytical decisions behind the results. Your response is that the consultant is a qualified statistician and therefore knows what they are doing.

Is that sufficient? Must researchers personally understand every statistical formula, or is it acceptable to rely on a specialist's expertise? More importantly, where does reasonable reliance end and a failure of scholarly accountability begin?

02 · The Short Answer

You Must Understand the Analysis Well Enough to Evaluate and Defend Its Claims

In Brief

Researchers who rely on statistical consultants should understand the analytical purpose, major methodological decisions, assumptions, results, uncertainty, and limitations sufficiently to evaluate and defend the conclusions they report. They do not necessarily need to reproduce every advanced mathematical derivation or independently possess all the specialist expertise used in the analysis.

The required depth depends on the researcher's role, the complexity of the analysis, the claims being made, and applicable authorship or academic assessment requirements. When a researcher cannot explain why an analysis is appropriate or what its results mean, additional consultation, training, or independent verification may be necessary before publication.

03 · What You Need to Know

What Researchers Need to Understand About Consultant-Performed Analysis

Does Research Accountability Require Advanced Statistical Expertise?

Research accountability does not mean that every investigator must become an expert in every method used by a multidisciplinary team.

A clinical researcher may rely on a biostatistician for complex survival analysis. An educational technology researcher may collaborate with a specialist in multilevel modeling. A computational social scientist may require expertise in Bayesian estimation or network analysis.

Such collaboration is consistent with established research practice. Indeed, engaging an appropriately qualified specialist may be preferable to applying unfamiliar methods without adequate guidance.

However, specialist collaboration does not eliminate the need for the research team to understand the relationship between its evidence and conclusions.

The distinction is between possessing the technical expertise needed to perform an analysis and possessing sufficient methodological understanding to evaluate what the analysis supports.

What Is the Minimum Understanding a Researcher Should Have?

A researcher should ordinarily be able to explain the purpose of the analysis, the data used, the principal methodological choices, and the meaning of the reported results.

For example, when reporting a regression model, the researcher should understand which variable is the outcome, which predictors were included, what the estimated coefficients represent, and whether the findings concern association or support a defensible causal interpretation.

The researcher should also understand the principal assumptions and limitations relevant to the study's conclusions.

This does not mean memorizing every mathematical expression. It means understanding the analytical reasoning well enough to identify when a claim goes beyond the evidence.

The required knowledge may be greater when the researcher independently designed the analytical strategy or when statistical competence is an explicit learning outcome of an assessed thesis.

What Should You Be Able to Explain?

Analytical component What the researcher should understand Question to ask the consultant
Research question What relationship, difference, prediction, or effect is being examined. What specific question does this analysis answer?
Analytical sample Which observations were included and why others were excluded. How was the final analytical sample determined?
Method selection Why the chosen procedure is appropriate for the design and variables. Why is this method preferable to reasonable alternatives?
Assumptions Which conditions affect the validity of the estimates or inferences. Which assumptions matter most, and how were they evaluated?
Results What the estimates, intervals, and statistical tests actually indicate. How should the principal estimates be interpreted in context?
Limitations What conclusions the analysis cannot establish. What alternative explanations or analytical weaknesses remain?
Reproducibility How the reported results were generated and can be checked. What documentation or scripts are available for verification?

These questions provide a practical standard for meaningful engagement with the analysis. They do not replace the technical review that complex methods may require.

Why Must You Understand the Analytical Sample?

The conclusions of an analysis depend partly on which observations were included and how the analytical dataset was constructed.

A study may begin with 600 participant records but analyze only 487. That difference may reflect legitimate eligibility criteria, incomplete responses, missing variables, or other exclusions.

The researcher should understand the reasons for the difference and whether the exclusions could affect the findings.

For example, excluding students with incomplete engagement records may systematically remove individuals who participated less frequently in an online course.

If missingness is related to the outcome or predictors, the resulting analytical sample may differ meaningfully from the original population.

Researchers should not treat the final sample size as an arbitrary number supplied by statistical software.

Must You Know Why a Particular Statistical Model Was Selected?

Yes, at least at the level necessary to understand its suitability for the research question and data structure.

Suppose a consultant recommends a multilevel model because students are nested within classrooms. The researcher should understand that observations from students in the same classroom may not be statistically independent.

The researcher need not derive every estimation equation to appreciate why ignoring clustering could affect uncertainty estimates and interpretation.

Similarly, when a logistic regression is used for a binary outcome, the researcher should understand how the outcome differs from a continuous variable and how the resulting estimates should be interpreted.

Method selection should follow the study design and analytical objective rather than the consultant's familiarity with a particular software procedure.

How Much Must You Understand About Statistical Assumptions?

Researchers should understand the assumptions that materially affect the validity of the reported conclusions.

Different models rely on different conditions. Depending on the analysis, relevant concerns may involve independence, measurement, model specification, missingness, distributional assumptions, or the mechanism used to identify a causal effect.

Not every assumption can be tested directly from the observed data.

For example, a consultant may evaluate residual patterns in a regression model, but such diagnostics cannot establish that an observational association is free from unmeasured confounding.

Researchers should distinguish assumptions supported by diagnostic evidence from assumptions that remain substantive limitations.

When an assumption is questionable, ask whether alternative specifications or sensitivity analyses meaningfully change the findings.

Do You Need to Understand Statistical Significance?

Yes, especially when statistical significance is used to support a manuscript's conclusions.

A p-value does not indicate the probability that the research hypothesis is true. Nor does a result below a conventional threshold automatically establish practical importance or methodological validity.

The American Statistical Association's statement on p-values emphasizes that scientific conclusions should not depend solely on whether a p-value crosses a particular threshold.

Researchers should consider effect sizes, uncertainty, study design, measurement quality, and the substantive meaning of the findings.

For example, a statistically detectable difference in learning outcomes may be too small to justify a claim of meaningful educational improvement.

Conversely, a result that does not meet a conventional significance threshold does not necessarily establish that no effect exists.

What Should You Understand About Confidence Intervals?

Confidence intervals communicate uncertainty about estimated quantities under a specified statistical procedure and its assumptions.

A researcher should understand the parameter being estimated, the interval's units, and the range of values compatible with the data under the model.

A conventional 95% confidence interval does not mean there is a 95% probability that the fixed population parameter lies within the particular interval already calculated, under the usual frequentist interpretation.

For example, an estimated difference of 4 assessment points with a 95% confidence interval from 1 to 7 points suggests a range of plausible effect magnitudes under the analytical assumptions.

The researcher should consider whether those magnitudes are educationally meaningful rather than focusing exclusively on whether the interval excludes zero.

Must You Understand Every Formula and Algorithm?

Not necessarily. The appropriate depth depends on the researcher's role and the claims being made.

A substantive researcher may not need to reproduce the derivation of a maximum likelihood estimator or implement a Bayesian sampling algorithm independently.

However, someone reporting results from these methods should understand what is being estimated, the role of consequential assumptions, and how uncertainty is represented.

Where the interpretation depends on specialized mathematical details, a qualified statistician should remain involved in reviewing the relevant claims.

It is more defensible to acknowledge a division of expertise than to claim personal mastery of procedures one does not understand.

Scholarly accountability is compatible with collaboration, provided that responsibilities are explicit and the reported conclusions are appropriately verified.

What if the Consultant Uses a Method You Have Never Studied?

Unfamiliarity does not automatically make the method inappropriate.

Researchers may encounter methods that are better suited to their data than the procedures emphasized in their earlier training.

The consultant should explain the method in terms relevant to the research question, including why it was selected and what limitations accompany it.

Where necessary, the researcher may need additional training or independent methodological advice.

However, a method should not be accepted merely because it sounds sophisticated or produces favorable results.

Complexity is not evidence of validity. A simpler model may be preferable when it adequately addresses the research question and relies on more defensible assumptions.

What if the Consultant Changes the Original Analytical Plan?

Changes to an analytical plan may be legitimate when the original approach proves inappropriate or unforeseen data characteristics require adjustment.

However, the researcher should understand what changed, why it changed, and whether the revised analysis is exploratory or confirmatory.

For preregistered studies, deviations from prespecified analyses should be reported appropriately.

For example, replacing a planned model because of a defensible concern about clustered observations differs from repeatedly testing alternative specifications until a preferred result becomes statistically significant.

The consultant should document consequential decisions, and the researcher should evaluate their implications for the study's claims.

Analytical flexibility should not be concealed through retrospective descriptions suggesting that every decision was made before examining the data.

Can You Rely on the Consultant's Professional Credentials?

Qualifications are relevant when selecting a consultant, but they do not independently establish that a particular analysis is appropriate.

A statistician may possess advanced expertise while misunderstanding the study's substantive variables or data collection process.

Similarly, a technically correct analysis may be applied to a dataset whose provenance or measurement quality is inadequate.

Researchers should therefore evaluate the consultant's reasoning and outputs rather than rely exclusively on professional titles.

Independent verification may be especially appropriate when the analysis is consequential, difficult to reproduce, or inconsistent with other evidence.

What if the Consultant Cannot Explain the Results Clearly?

Statistical explanations may be technically demanding, but the consultant should be able to communicate the analytical purpose, assumptions, and interpretation at a level suitable for the research team.

Difficulty explaining a complex method does not automatically indicate incompetence. Nevertheless, persistent inability to justify consequential choices is a reason to seek clarification.

Researchers may request a methodological memorandum, annotated outputs, reproducible scripts, or a meeting focused on the principal decisions.

If important uncertainties remain unresolved, independent statistical review may be necessary before publication.

The appropriate response is not to invent an explanation for the manuscript or repeat technical language that nobody on the author team can defend.

What Documentation Should You Request?

The analytical record should be sufficient to understand how the reported findings were generated.

Depending on the method, useful materials include variable definitions, sample-selection rules, data transformations, missing-data procedures, model specifications, software versions, diagnostic results, and analytical scripts.

For complex analyses, documentation may also need to describe estimation settings, convergence problems, sensitivity analyses, and alternative models.

Not all documentation must be published, and access to underlying data may be restricted by privacy or contractual requirements.

However, the research team should retain an appropriate basis for evaluating and defending the analytical results.

The broader requirements for responsibly outsourcing statistical analysis include establishing these deliverables before the consultant begins work.

Does Reproducing the Results Prove the Analysis Is Correct?

No. Computational reproducibility and methodological validity are different properties.

Running the same code on the same dataset may reproduce an incorrect model or an inappropriate transformation.

For example, a reproducible script can consistently generate misleading results if it incorrectly codes the outcome variable.

Researchers should therefore evaluate whether the analytical decisions are justified, not merely whether the software produces identical numbers.

Reproducibility strengthens transparency and facilitates verification, but it does not replace methodological judgment.

Can a Consultant Interpret the Findings for You?

Yes. Statistical interpretation is a legitimate part of consultation and collaboration.

A consultant may explain coefficients, model diagnostics, uncertainty, and the limitations of statistical inference.

However, the research team should integrate those explanations with the study's theory, measurement, design, and substantive context.

A consultant who contributes substantially to interpretation may also warrant authorship consideration under applicable criteria.

Researchers should not present interpretations as their own independent work when doing so would misrepresent a contributor's intellectual role.

The distinction between legitimate research assistance and concealed intellectual contribution remains relevant to statistical reporting.

What if You Disagree With the Consultant?

Disagreement should be resolved through evidence and methodological reasoning rather than academic rank or contractual authority.

The researcher may understand the substantive context better, while the consultant may understand the statistical implications of particular assumptions more deeply.

Both perspectives can be important.

For example, a consultant may recommend excluding observations that appear statistically unusual, while the researcher knows that those observations represent genuine participants from a theoretically important subgroup.

The appropriate decision should consider data authenticity, study design, methodological justification, and the consequences for inference.

Where disagreement remains consequential, independent expert review may be preferable to selecting whichever interpretation supports the desired conclusion.

Are the Expectations Different for a Thesis or Dissertation?

They may be. A thesis or dissertation often serves as an assessment of the candidate's research competence.

Some universities permit statistical consultation but require the student to conduct specified analyses independently or demonstrate particular methodological competencies.

Other institutions may permit extensive specialist collaboration when appropriately approved and disclosed.

The candidate should understand the methods and conclusions sufficiently to meet the program's assessment requirements.

Being unable to explain the analysis during a dissertation defense may indicate a substantive weakness even when the consultant performed the calculations correctly.

The relevant institutional rules should be checked before delegating assessed analytical tasks.

What if You Discover That You Misunderstood the Analysis After Publication?

The appropriate response depends on whether the misunderstanding affected the manuscript's claims.

If the analysis was correctly performed but described inaccurately, a clarification or correction may be necessary.

If the misunderstanding led to unsupported conclusions, the authors should evaluate the consequences for the published findings and contact the journal when appropriate.

Not every interpretive error constitutes research misconduct. Honest mistakes should be distinguished from deliberate or reckless misrepresentation under the applicable framework.

However, the authors remain responsible for addressing material inaccuracies rather than attributing every problem to the consultant.

04 · A Practical Example

Understanding a Consultant's Multilevel Analysis of Student Performance

Hypothetical Example

A Researcher Receives Results From a Hierarchical Model

An educational technology researcher investigates whether students' use of formative feedback tools is associated with final course performance. The dataset contains 600 students distributed across 20 classes.

The researcher hires a consultant who recommends a multilevel regression model because students are nested within classes.

The consultant reports an estimated association of 2.4 assessment points for a specified increase in feedback engagement, with a 95% confidence interval from 0.8 to 4.0 points, after adjustment for the included covariates.

Step 1: Understand the analytical purpose. The researcher confirms that the model estimates an adjusted association between feedback engagement and course performance.
Step 2: Understand the data structure. The consultant explains that students within the same class may share instructional conditions, making the clustered structure relevant.
Step 3: Interpret the coefficient. The researcher establishes what increase in engagement the coefficient represents and interprets the estimated 2.4-point difference in that context.
Step 4: Interpret uncertainty. The researcher understands that the interval reflects estimation uncertainty under the model and its assumptions, rather than guaranteeing a particular effect.
Step 5: Identify the inferential limitation. Because the study is observational, the researcher does not claim that feedback engagement necessarily caused higher performance.
Step 6: Verify the analytical record. The researcher obtains documentation of the sample, variables, model specification, diagnostics, and relevant analytical code.

The researcher may not be able to derive the estimation algorithm used by the multilevel model. Nevertheless, they can explain why clustering matters, what the principal estimate means, and why the findings should be interpreted as associations rather than definitive causal effects.

That understanding provides a more defensible basis for reporting the results than simply stating that the consultant selected the model.

05 · What Researchers Often Get Wrong

Misconceptions About Understanding Consultant-Performed Statistical Analysis

Misconception

Researchers Must Personally Master Every Statistical Formula

Multidisciplinary research can legitimately rely on specialist expertise. Researchers should understand consequential methods and interpretations without necessarily reproducing every technical derivation.

Misconception

Hiring a Qualified Statistician Removes the Need to Understand the Results

Professional credentials do not replace the researcher's responsibility to evaluate and defend published claims.

Misconception

Statistical Significance Demonstrates Methodological Validity

A significant result does not establish that the model, assumptions, sample selection, or interpretation is appropriate.

Misconception

Reproducing the Output Proves the Analysis Is Correct

Reproducibility establishes computational consistency under the same inputs and procedures, not necessarily scientific validity.

Misconception

Only the Consultant Needs to Understand the Assumptions

Researchers should understand assumptions that materially affect their conclusions, even when technical diagnostics are performed by a specialist.

Misconception

The Consultant's Interpretation Can Be Copied Without Review

Statistical interpretations must be evaluated against the research design, substantive context, and evidence. Intellectual contributions also require appropriate attribution.

06 · What This Means for You

Ask Whether You Can Explain the Analysis Without Relying on the Consultant's Authority

The most useful test is whether you can describe the analysis, interpret its principal findings, and identify its limitations in language appropriate to your research field.

A simple decision framework

If you understand the research question but not the model
Ask the consultant to explain why the model suits the study design and what alternatives were considered.
If you cannot explain the reported coefficients
Request interpretation in the variables' original units and verify the manuscript's descriptions.
If you do not know how the analytical sample was constructed
Review inclusion, exclusion, missing-data, and transformation decisions before accepting the results.
If important assumptions remain unclear
Obtain a methodological explanation, relevant diagnostics, and sensitivity analyses where appropriate.
If the consultant's explanation remains inadequate
Seek additional training or independent statistical review before publication.
If you are preparing for a dissertation defense
Verify the program's independent-work requirements and prepare to defend the analytical choices and interpretations.

Researchers need not pretend to be specialists in every analytical technique. They do need sufficient understanding to distinguish defensible findings from conclusions that exceed what the analysis can establish.

07 · A Quick Checklist

Check Whether You Understand Your Consultant's Statistical Analysis

Before reporting consultant-produced findings, check:
You can explain the research question addressed by each principal analysis.
You know which observations were analyzed and why any records were excluded.
You understand why the selected statistical method suits the study design and variables.
You can identify the assumptions that materially affect the findings.
You can interpret the principal estimates, uncertainty intervals, and statistical tests.
You understand the difference between statistical significance and substantive importance.
You can distinguish association from causal inference where relevant.
Consequential deviations from the analytical plan are documented appropriately.
Adequate scripts, specifications, or analytical records are available for verification.
You can explain the principal limitations without relying solely on the consultant's authority.
08 · Frequently Asked Questions

Frequently Asked Questions About Understanding Outsourced Analysis

Must I understand every formula used by my statistical consultant?

Not necessarily. You should understand the analytical purpose, consequential assumptions, principal results, and limitations sufficiently to defend the claims you report.

Can I publish results if I cannot explain why the model was chosen?

That creates an accountability concern. Obtain a methodological explanation or independent review before relying on the analysis in a publication.

Is understanding the p-value enough?

No. Interpretation should also consider effect sizes, uncertainty, assumptions, study design, and substantive significance.

Can I trust an analysis because the consultant has a doctorate in statistics?

Qualifications are relevant but do not guarantee that a particular analysis is suitable. The methods and results still require appropriate verification.

What if the consultant uses a statistical method I have never studied?

Ask for an explanation of its purpose, assumptions, interpretation, and limitations. Additional training or independent review may be appropriate for consequential analyses.

Do I need the consultant's analytical code?

Reproducible code is valuable where feasible, but the minimum requirement is sufficient documentation to understand, verify, and accurately report the analytical workflow.

Can a consultant interpret the results for me?

Yes. Interpretation can be a legitimate collaborative contribution. Researchers should verify the interpretation and address appropriate authorship or acknowledgment requirements.

What if I discover that I misunderstood the analysis after publication?

Evaluate whether the misunderstanding affected the published claims. Material inaccuracies may require clarification, correction, or another appropriate editorial response.

09 · The Bottom Line

You Do Not Need Every Calculation, but You Must Understand the Conclusions

The Bottom Line

Researchers relying on statistical consultants should understand the purpose, principal decisions, assumptions, results, and limitations of the analysis well enough to evaluate and defend their published claims.

Specialist expertise can be shared, but scholarly accountability remains. When important aspects of an analysis cannot be explained or verified, additional consultation or independent review may be necessary before the findings are reported.

10 · Sources and Further Reading

Authoritative Resources on Statistical Understanding and Accountability

11 · Cite this Guide

How to Cite This Guide

This guide is intended to be read, shared, and used in research, teaching, and academic work. If you draw on its ideas, explanations, or other content, please acknowledge the source by citing the guide. Doing so gives appropriate credit and helps your readers locate the original resource.

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