ISM Hierarchical Model
Foundational driving factors appear at the bottom; more dependent factors appear toward the top.
Structure expert judgements about how factors influence one another, then build a transparent hierarchy of drivers and dependent outcomes.
Use ISM when a complex problem contains interrelated barriers, risks, enablers, or variables that need a structured expert view.
It identifies hierarchy levels, foundational drivers, dependent factors, linkage factors, and the direct or transitive paths connecting them.
Define a custom problem or load a supply-chain template, adapt the factors, and confirm each V, A, X, or O relationship.
Factors at the base with high driving power usually warrant early management attention because they influence several factors above them.
Define the problem and factors before sending the questionnaire to an expert or facilitation group.
Use 2–12 clearly defined factors at a comparable level of abstraction. Reordering factors resets existing pairwise judgements.
Import an ISM questionnaire or use the current design, then confirm one relationship for every unique pair.
The tool does not infer relationships. Select the symbol that best reflects the agreed contextual relationship for each pair. Use X only when each factor directly influences the other; overusing reciprocal relationships can collapse the hierarchy into one level.
Import a completed expert response, review the matrices, and generate the ISM hierarchy.
Sample response: Loads synthetic resilience factors and completed pairwise judgements that produce a five-level hierarchy. Review the matrices before generating results; the example is not validated evidence.
The Structural Self-Interaction Matrix records one V, A, X, or O judgement for each unique factor pair.
The initial reachability matrix converts direct judgements to binary links and includes each factor’s relationship with itself.
Review hierarchy levels, transitive relationships, and driving/dependence power.
Foundational driving factors appear at the bottom; more dependent factors appear toward the top.
Direct links are shown as 1. Relationships added through transitivity are shown as 1*.
At each iteration, factors whose reachability set equals the intersection set are assigned to the current level and removed from the next iteration.
Interpretive Structural Modeling structures expert knowledge about contextual relationships among factors. It converts pairwise judgements into a directed reachability model, applies transitivity, and partitions factors into hierarchy levels.
ISM is useful when variables are interdependent and a team needs a transparent way to discuss which factors may act as foundational drivers. It structures judgement; it does not establish statistical or causal proof.
Multiple experts: V, A, X, and O are categorical judgements, so this version does not automatically average independent responses. Use one agreed group response or reconcile individual responses before analysis.
V creates i→j, A creates j→i, X creates both directions, and O creates neither direction. Diagonal values are set to 1.
If factor i reaches factor j and factor j reaches factor k, the final matrix adds an inferred i→k relationship. These links are marked separately as 1*.
Factors whose reachability set equals their reachability/antecedent intersection form the current top level, then the process repeats with the remaining factors.
Driving and dependence power come from final-matrix row and column totals. This tool uses the model averages as transparent high/low classification boundaries.
Experts understand the problem context, factor definitions are distinct, and the selected directional relationships are meaningful for that context.
Results are sensitive to factor selection and expert judgement. ISM does not estimate effect size, probability, time lag, or statistical causality.
No. They are illustrative starting points only. Review, rename, add, or remove factors to match your organisation or research context.
No. Every V, A, X, or O relationship must be selected or confirmed by the user or expert group.
Yes, but this version analyses one completed response at a time. Ask the group to agree a consensus response or reconcile separate expert responses before analysis.
It is an inferred pathway added when one factor reaches another through an intermediate factor. It is not a separately entered direct judgement.
A single level means every factor can reach every other factor through the current direct and transitive paths. Review reciprocal X judgements and circular directional chains. Separate levels should only appear when the confirmed relationship structure supports them.
No. Driving power describes reachability within the expert-defined model. It does not demonstrate statistical causality or quantify the strength of an effect.
No. The tool processes factors, judgements, matrices, and exports locally in the browser without a backend or external API.