03 · What You Need to Know
Understanding the Methodological Differences Between Synthetic and Simulated Data
What are synthetic data?
Synthetic data are artificially generated records created for a particular purpose. They may reproduce selected characteristics of an existing dataset or represent hypothetical observations constructed through computational procedures.
In many data science applications, synthetic-data generation involves learning statistical patterns from empirical reference data.
For example, a researcher may use a generative model trained on an existing student engagement dataset to produce artificial records with similar response distributions and relationships among variables.
The generated records are not additional responses from actual students. They are new artificial observations produced by the model.
Synthetic data can support software testing, methodological development, model training, and certain privacy-related applications.
However, the term is broad. Some researchers also describe rule-based or mathematically simulated observations as synthetic data.
What are simulated data?
Simulated data are observations generated through a model representing a specified process, mechanism, or scenario.
The model may be statistical, mathematical, computational, or agent-based.
For example, a researcher may specify a regression model in which student engagement depends on instructor support, together with an assumed effect size and error distribution.
The researcher then generates repeated artificial samples under those assumptions to evaluate how a statistical estimator behaves.
The simulated values reflect the specified data-generating process rather than independently observed student behavior.
Simulation is particularly useful when researchers want to investigate what happens under controlled assumptions, compare analytical methods, or explore scenarios that are difficult to observe directly.
How do synthetic and simulated data compare?
| Dimension |
Synthetic data |
Simulated data |
| Basic meaning |
Artificially generated records. |
Artificial observations produced through a specified model or process. |
| Common emphasis |
Reproducing useful characteristics or structures of data. |
Representing behavior under defined assumptions or scenarios. |
| Source of generation rules |
May involve learned empirical patterns, statistical models, or rules. |
Usually involves an explicit mathematical, statistical, or computational model. |
| Typical research application |
Software testing, data sharing, model development, methodological evaluation. |
Statistical simulation, system modeling, scenario analysis, method evaluation. |
| Validation emphasis |
Fitness for purpose, statistical fidelity, utility, and privacy where relevant. |
Correctness of model implementation and suitability of assumptions. |
| Empirical status |
Artificial observations, not automatically real-world evidence. |
Model-generated observations, not direct empirical measurements. |
This comparison describes common methodological usage rather than a universally accepted classification.
A synthetic dataset generated from a fitted statistical model may also be considered simulated data. Conversely, a simulation can produce synthetic observations intended for software testing.
Does synthetic-data generation always require a real dataset?
No. Some synthetic-data methods learn from empirical reference data, while others use mathematical rules, predefined distributions, or hypothetical scenarios.
For example, a synthetic dataset created to test whether software handles missing values may be generated without using any real participant data.
By contrast, a synthetic dataset intended to approximate an existing clinical database may be generated using a model fitted to actual patient records.
The distinction matters because methods trained on real records may inherit characteristics, limitations, and privacy risks associated with those records.
Researchers should document whether empirical source data were used rather than assume that all synthetic datasets have the same provenance.
Does simulation always require a mathematical equation?
No. Simulation may involve explicit equations, but it can also use computational rules, agent-based models, or other representations of a system.
For example, an agent-based educational simulation might represent hypothetical students interacting with a learning platform according to specified behavioral rules.
The simulation produces outcomes based on those rules and the conditions selected by the researcher.
Its validity depends on whether the model appropriately represents the phenomenon being investigated.
Researchers should distinguish an explicit simulation model from a language model producing plausible responses without a validated representation of the underlying human process.
Can generative AI produce both synthetic and simulated data?
Yes. Generative AI may support either approach, depending on how it is used.
A generative model trained on reference data may produce artificial observations intended to resemble those records.
A language model may also simulate hypothetical respondents or events through instructions describing particular scenarios.
However, a plausible AI-generated response does not establish that the model accurately represents the real-world process it is intended to simulate.
For example, instructing a language model to respond as a university student does not make the output equivalent to a validated simulation of student behavior.
The researcher must establish whether the generation process is appropriate for the intended research question.
The technical approaches discussed in AI-generated synthetic data can support different methodological purposes, but the technology alone does not determine the evidentiary value of the outputs.
What is the difference between statistical fidelity and model validity?
Statistical fidelity concerns how closely artificial data reproduce selected characteristics of a reference dataset.
For example, researchers may compare marginal distributions, correlations, or relationships among variables in synthetic and empirical datasets.
Model validity concerns whether a simulation adequately represents the system or process relevant to the research question.
A simulation may reproduce certain observed patterns while relying on unrealistic assumptions about the underlying mechanism.
Similarly, a synthetic dataset may closely match selected summary statistics while failing to preserve rare cases or important subgroup relationships.
Neither statistical fidelity nor model validity should be assumed from the appearance of the generated data.
The appropriate evaluation depends on the intended application.
Can simulated data be used to evaluate statistical methods?
Yes. Simulation studies are widely used to investigate statistical estimators and analytical procedures under controlled conditions.
For example, researchers may simulate datasets with known parameters and examine whether a statistical method produces accurate estimates across repeated samples.
Because the data-generating assumptions are specified, researchers can compare estimated quantities with known simulation parameters.
Such studies can evaluate bias, variability, confidence interval coverage, and other methodological properties.
However, findings are conditional on the simulation scenarios examined.
A method performing well under one set of assumptions may perform differently when applied to empirical data with other characteristics.
Can synthetic data be used to train prediction models?
Potentially. Synthetic data may supplement model development or provide artificial training examples.
However, the generated records may not adequately represent the distribution encountered during real-world deployment.
A prediction model trained and evaluated entirely on synthetic data may appear effective because the training and evaluation datasets share assumptions or generation artifacts.
Independent validation using appropriate empirical data is generally important when the intended claim concerns real-world predictive performance.
The use of synthetic data for prediction model development should therefore be evaluated according to the target population and intended deployment context.
Are synthetic data more realistic than simulated data?
Not necessarily. Realism is not an inherent property of either category.
A synthetic dataset trained on empirical records may reproduce selected statistical patterns closely while failing to capture important relationships.
A carefully constructed simulation may accurately represent a physical process under specified conditions.
Conversely, both approaches may produce unrealistic outputs if their assumptions or implementation are inadequate.
Researchers should evaluate realism in relation to the particular characteristics that matter for the study.
Visual resemblance or plausible summary statistics are insufficient substitutes for methodological validation.
Can either type of data establish what happened in a real experiment?
Neither synthetic nor simulated observations independently establish that an actual experiment occurred.
Artificial data may support theoretical predictions, methodological comparisons, or computational experiments.
However, researchers must distinguish those findings from measurements obtained through empirical procedures.
For example, a simulated improvement in learning performance does not demonstrate that actual students improved after an intervention.
It demonstrates what occurred within the specified model or generation process.
The distinction between synthetic data and genuine research observations should remain clear throughout interpretation and reporting.
How should researchers document synthetic and simulated data?
Researchers should describe the generation method rather than rely exclusively on a general label.
For data-driven synthetic generation, documentation may include the reference dataset, model architecture, training procedure, generation parameters, and validation results.
For simulation studies, relevant information may include the mathematical or computational model, assumptions, parameter values, random-number generation, and simulation scenarios.
Where generative AI was used, relevant model information and applicable disclosure requirements should also be addressed.
Researchers should explain which conclusions concern the artificial data-generating process and which, if any, have been independently validated against empirical evidence.
The distinction should remain accessible to readers evaluating the study's scientific claims.