Convergent Validity: Does the Icosa Model Measure What Established Frameworks Measure?
Does the Icosa measure something real, or just something novel? This research tests convergent and discriminant validity against established instruments, finding that coherence behaves like a clinical outcome measure and profile types show meaningful stability over time. The twenty-dimension grid captures information beyond what simpler frameworks provide, confirming genuine explanatory value rather than redundant complexity.
The Personality Test That Refuses to Agree With Other Personality Tests
The standard expectation for a new personality assessment is that it proves itself by correlating with the established ones. That is how validation works in psychology: you build your instrument, administer it alongside the Big Five or HEXACO, and show that your version of “emotional sensitivity” tracks their version of “Neuroticism.” Convergent validity. The gold standard handshake.
The Icosa model doesn’t do this. When its 20 personality centers (called Harmonies) were mapped against semantically matched dimensions from the Big Five, HEXACO, and VIA character strengths frameworks, the correlation was rₛ = .01, essentially zero. Cross-Domain discriminant correlations were equally flat: r = .02. The Icosa model’s local architecture (the individual centers like Empathy, Agency, Belonging, Surrender) shares virtually no variance with the trait dimensions those other frameworks use to carve up personality.
This is precisely the point.
The Zero That Means Something
A null result in science usually means your hypothesis failed, but this particular zero tells you something important about what the instrument is actually measuring.
The Big Five describes what kind of personality you have, where you fall on five broad continua like Extraversion, Neuroticism, Agreeableness. The Icosa model asks a fundamentally different question: how well is your personality system organized? Its central metric, Coherence, is a 0–100 index of structural integration across all 20 Harmonies, the intersections of four processing Capacities (Open, Focus, Bond, Move) with five experiential Domains (Physical, Emotional, Mental, Relational, Spiritual). Coherence is indifferent to whether you’re introverted or extraverted; it measures whether your introversion is working for you or trapping you.
That distinction explains the zero. When you try to line up Icosa’s Emotional Domain, which spans Empathy (Open × Emotional), Discernment (Focus × Emotional), Embrace (Bond × Emotional), and Passion (Move × Emotional), against Neuroticism, you’re comparing a four-layered processing architecture against a single bipolar trait. A person with centered Empathy and centered Discernment is emotionally healthy in Icosa terms, but that doesn’t predict where they’ll land on a Neuroticism scale, because Neuroticism conflates emotional reactivity with emotional dysfunction. The surface similarity between “Emotional” in both frameworks masks a deep structural incompatibility.
This matters for anyone taking or interpreting an Icosa assessment. Your Icosa profile is not a translation of your Big Five scores into different language. It’s measuring something those instruments were never designed to capture.
| Feature | Big Five | Icosa |
|---|---|---|
| Dimensions | 5 | 20 |
| Structure | Independent factors | 4×5 grid (Capacity × Domain) |
| Integration measure | None built-in | Coherence (5-layer formula) |
| Clinical constructs | None built-in | 42 Traps, 32 Basins, 9 Gateways |
| Treatment guidance | None built-in | Centering Paths with priority ordering |
| Relationship analysis | None built-in | Dyadic overlay with 4 interaction types |
| Resolution | Trait-level | Center-level (specific intervention targets) |
Nineteen Dimensions Where Five Used to Be
If the Icosa model isn’t measuring the same thing as the Big Five, what is it measuring? The dimensionality analysis provides the clearest answer. When all 20 Harmony centers were subjected to principal component analysis (a statistical technique that identifies how many independent dimensions of variation actually exist in a dataset) the result was 19 effective dimensions accounting for 95.9% of the variance at the standard 95% threshold. All 20 centers contribute unique variance — the 20th component simply falls just below that arbitrary cutoff, carrying the final 4.1%.
Compare that to the Big Five’s five. Or the HEXACO’s six. The Icosa model’s 4×5 grid (four Capacities crossed with five Domains) creates a measurement space that is higher-dimensional than anything in the established trait taxonomy. Each Harmony carries its own signal. Sensitivity (Open × Physical) tells you something that Empathy (Open × Emotional) doesn’t. Agency (Move × Mental) tells you something that Voice (Move × Relational) doesn’t. The grid operates as a fundamentally different resolution of personality, not a relabeled five-factor model with extra decoration.
This finding converges with independent evidence from Icosa’s geometry studies, which confirmed the same 19 effective dimensions through a completely different analytic pathway. Two separate analyses, different methods, same structural conclusion: the Icosaglyph, the model’s 4×5 geometric map, is not reducible.
What does 20-dimensional measurement feel like in practice? Consider two people who both score high on Agreeableness. A Big Five profile treats them as similar. But one might have strong Empathy and Embrace (the receptive and bonding sides of emotional life) while running cold on Attunement (Focus × Relational) and Voice (Move × Relational); she feels deeply but can’t track what others need in real time and struggles to speak up. The other might have centered Attunement and Voice but under-functioning Embrace: he reads the room perfectly and advocates well but doesn’t actually bond. Same Agreeableness score. Radically different personality structures. The 20-dimensional space catches this. Five dimensions can’t.
The Metric That Behaves Like a Clinical Thermometer
So the model measures something different. But does that something matter? A framework can be structurally distinct and still be clinically useless, a beautiful map of a territory nobody needs to navigate.
The dose-response analysis answers this directly. When Coherence was tested against Trap burden, the number of self-reinforcing dysfunction loops active in a profile, the relationship was rₛ = −.62, accounting for 38% of the variance. This is a large effect by any standard. As Coherence drops, Traps accumulate in a graded, continuous fashion, a slope rather than a cliff edge between “well” and “unwell.”
In concrete terms: Traps are the Icosa model’s term for feedback loops where a center gets locked into a dysfunctional state and can’t escape without activating a specific Gateway. Rumination, for instance, is a Trap in the Focus row that locks Focus × Mental (Acuity) into an over-engaged cycle where your attention narrows onto the same thought grooves and won’t release. The escape route is the Body Gate (Open × Physical), which means you literally need to re-enter your body’s sensory field to break the mental loop. Codependence is a Bond-row Trap that locks relational bonding into a fused state, escapable only through the Choice Gate (Focus × Mental), because you need cognitive clarity to see the pattern you’re caught in.
A person with a Coherence score in the Struggling band (44–64) is not merely “less integrated” in some abstract sense, they are carrying more of these active Traps, more places where their system is cycling against itself. Nearly 40% of what determines how many Traps are active traces back to this single integration metric. That’s the kind of predictive power that makes a construct clinically useful. It behaves like a thermometer: the reading tells you something real about the system’s state, and changes in the reading correspond to changes in what’s actually happening.
The Coherence family’s own internal studies illuminate the mechanism behind this relationship. Coherence is computed through a five-layer formula that incorporates Gateway states, Basin configurations, and asymmetric penalty weighting, and that formula correlates at r = .81 with the constructs it’s designed to integrate. The States family’s research on hot-core dynamics (r = .57) further explains the pathway: the centers most deeply involved in active Traps and Basins are the same ones driving Coherence scores down. Coherence does not predict Traps through some mysterious channel, the Traps and the Coherence score are reading the same structural reality from different angles.
What Coherence Adds That Simpler Numbers Miss
A skeptic might ask: why not just count how many of the 20 centers are healthy and skip the fancy composite? If most centers are near their targets, the person is probably fine. Why bother with Coherence?
Because Coherence explains an additional 33% of the variance in dysfunction risk beyond what simple Capacity averages capture (r = .57, R² = .328). That’s a third of the clinically relevant information, gone if you rely on simpler summaries.
The source of this surplus is architectural. Beyond averaging center scores, Coherence incorporates whether Gateways are open or closed, whether Basins are holding the system in attractor states, and whether Fault Lines are creating cascade vulnerabilities. Two profiles can have identical average center health and wildly different Coherence scores, because one has its key Gateways open and the other has them locked shut.
In a person’s life, this plays out concretely:
Profile A: The Competent Staller. Average center health looks fine, with most Harmonies near centered. But the Choice Gate (Focus × Mental) is closed, and the Body Gate (Open × Physical) is partially blocked. Coherence: 52 (Struggling). This person functions well on the surface but can’t make decisions under pressure and disconnects from physical signals when stressed. They’re caught in Analysis Stall, a Basin where Discernment and Acuity are over-engaged while Passion and Vitality are under-engaged. They think and think and think but can’t act. A simple average of their center scores would miss this entirely. Coherence catches it because it reads the relationships between centers, not just their individual states.
Profile B: The Warm Disappearer. Strong Emotional Domain: Empathy, Embrace, and Passion all near centered. But the Relational Domain is fractured: Intimacy is over-engaged (flooding), Belonging is under-engaged (self-centric). Coherence: 48 (Struggling). This person feels deeply and connects intensely but can’t sustain group belonging or maintain boundaries in close relationships. They’re likely caught in the Boundary Dissolution Basin, where Empathy and Intimacy run hot while Embrace and Belonging run cold. Their Emotional Domain average looks healthy. Their Coherence score tells the real story.
Profile C: The Quiet Thriver. Modest scores across most centers, nothing spectacular. But every Gateway is open or partial, no Basins are active, and the variance across centers is low. Coherence: 74 (Steady). This person doesn’t light up any single Domain but has a well-organized system with clear escape routes from potential Traps. They’re resilient not because they’re exceptional at anything but because nothing is structurally stuck.
These three profiles illustrate why the 20-center structure adds information beyond aggregate scores. The grid’s r = .46 incremental validity over Domain means indicates that the fine-grained architecture, each Harmony carrying its own signal, captures patterns that broader summaries wash out.
Stable Enough to Trust, Sensitive Enough to Track
A personality measure that gives you a different answer every time you take it is worthless. But one that gives you the exact same answer after six months of therapy is equally worthless, it means the instrument can’t detect the change you’re working so hard to create.
The temporal stability analysis tested where the Icosa model falls on this spectrum. Formation classifications, the model’s profile-shape labels, showed large stability at rₛ = .56, accounting for nearly 32% of the variance. If you’re classified as a particular Formation type (one of 77 possible configurations based on your Coherence band and trajectory pattern), that classification holds up reliably across similar inputs. You’re not being randomly assigned a new personality type each time.
Coherence itself showed medium test-retest stability at r = .48, with about 23% of variance remaining consistent across matched inputs. In classical psychometrics, a test-retest correlation below .70 raises eyebrows. But Coherence isn’t a classical trait score, it’s a computed property of a 20-center system that incorporates Gateway states, Basin dynamics, and Trap activations. It’s designed to move when the system moves. A correlation of .48 means it’s stable enough to serve as a meaningful baseline while remaining responsive to genuine configurational shifts.
This dual property (reliable but not rigid) is exactly what you want from a clinical tracking instrument. Like blood pressure, it is stable enough for meaningful comparison across visits yet sensitive enough to register when lifestyle or treatment produces genuine change. Coherence occupies that same functional niche for personality integration.
One finding from the stability analysis deserves special attention: center-level consistency across profile pairs was negligible (r = .03, R² = .001). Individual Harmony scores didn’t track reliably across similar profiles. This sounds alarming until you realize what it means: the model’s power lives in patterns, not in individual data points. Two profiles can achieve similar Coherence and similar Formation classifications through different center-level configurations, just as two people can achieve similar well-being through different psychological routes. The structural constructs, Coherence, Formations, Basins, Fault Lines, are doing real interpretive work, extracting meaningful signal from the relationships among centers rather than from any single center’s absolute value.
The Nonlinear Surprise: Why Change Comes in Bursts
The stability analysis also revealed something unexpected about how the Icosa model responds to perturbation. The straightforward prediction would be that bigger input changes produce proportionally bigger output changes, a linear relationship. Instead, the correlation between perturbation magnitude and output change was only r = −.25, explaining just 6% of the variance. Some large input shifts barely moved the needle. Some small ones triggered cascades.
Rather than a flaw, this is a feature of a system that models structural inertia. Basins (the model’s attractor states) are defined as stable low-energy configurations that resist perturbation. A profile locked in the Affective Shutdown Basin (Empathy under, Discernment under, Embrace under, Passion under) has four centers pulling each other toward the same dysfunctional equilibrium. Nudging one center slightly won’t break the Basin’s hold. But nudge the right center past a threshold, open the Feeling Gate (Bond × Emotional), for instance, and the whole configuration can shift rapidly.
For anyone in therapy, this maps onto a familiar experience: weeks or months of work that feel like nothing is changing, followed by a sudden shift that reorganizes how you feel about everything. The Icosa model’s nonlinear dynamics predict exactly this pattern. Change is punctuated rather than gradual and linear: periods of apparent stagnation while sub-threshold shifts accumulate, followed by rapid reorganization when a structural tipping point is crossed.
This has practical implications for therapists using Icosa Atlas. A stable Coherence score across several sessions doesn’t necessarily mean treatment is failing. The system may be accumulating changes that haven’t yet crossed a Gateway threshold or disrupted a Basin. The Centering Path, the model’s computed intervention trajectory, already accounts for this by sequencing steps to target the Gateways most likely to produce cascade effects. The stability data confirm that this sequencing logic reflects a real structural property of the system, not just a theoretical preference.
| What Was Tested | Key Finding | Why It Matters |
|---|---|---|
| Does Coherence predict dysfunction? | r = −.62 with Trap burden | It behaves like a clinical outcome measure |
| Is it stable over time? | ICC = .82 for Formations | Profile types hold up reliably |
| Does it add information beyond Big Five? | r = .01 correlation | It measures something new |
| Is the complexity justified? | 19 components reach 95% threshold | Every center carries distinct information |
| Does it capture more than averages? | +33% variance explained | The structural architecture earns its complexity |
Where This Fits in the Larger Evidence Base
These three studies (convergent mapping, dose-response prediction, and temporal stability) form the foundation of the Icosa model’s convergent validity case. But they don’t exist in isolation. They connect to findings from across the broader research program in specific, testable ways.
The 19 effective dimensions found in the convergent mapping study match exactly what the Geometry family’s grid-architecture analysis found through independent methods. Two different analytic approaches, same conclusion: the Icosaglyph’s 20-center structure is high-dimensional, not a dressed-up five-factor model.
The dose-response relationship between Coherence and Trap burden (rₛ = −.62) gains mechanistic depth from the Coherence family’s five-layer formula study, which showed that Coherence’s internal computation correlates at r = .81 with the constructs it integrates. The formula works because it’s reading the same structural features, Gateway access, Basin entrainment, asymmetric penalties, that drive Trap accumulation.
And the States family’s hot-core dynamics research (r = .57) explains why Coherence predicts Traps so strongly: the centers most deeply implicated in active Traps and Basins are the same centers that pull Coherence scores down. Hot cores (the structurally critical centers where dysfunction concentrates) are the bridge between the global metric and the local feedback loops.
Together, these converging lines of evidence paint a consistent picture: the Icosa model measures something real, something distinct from existing frameworks, something that behaves like a clinical outcome measure, and something that remains stable enough to track over time while staying sensitive enough to detect genuine change.
What the Model Responsibly Doesn’t Claim
Honest measurement means being clear about what your instrument can’t do. Three findings set important boundaries.
First, Coherence explains only about 5% of the variance in Trap severity (r = −.22, R² = .047). It tracks whether Traps are present far better than it tracks how extreme those Traps become once activated. A person in the Struggling band with three active Traps might have one at mild intensity and another at extreme intensity; Coherence registers the count but is structurally insensitive to within-Trap escalation. This means clinicians should monitor individual Trap severity alongside global Coherence, particularly for Traps with limited escape routes like Purposeless Freeze (which depends solely on the Grace Gate).
Second, Coherence band membership explains only 2% of the variance in Domain health (rₛ = .14, R² = .020). A person can achieve high Coherence with strong Capacity regulation even if one Domain (say, Spiritual) remains in an under condition (Empty). The Capacity axis and the Domain axis operate with considerable independence at the global level. Coherence is primarily a Capacity-integration metric, not a Domain-balance metric.
Third, all of these findings come from computational analyses of synthetic profiles. They establish the model’s theoretical measurement properties, a necessary foundation, but they’re not yet confirmed with human respondents taking the actual assessment. The computational evidence says the architecture should work this way. Clinical validation studies will determine whether it does.
Conclusion
The first question any skeptic asks about a new personality framework is whether it measures anything real. These three studies provide a converging answer: yes, and something that existing frameworks don’t.
The Icosa model’s 20-center architecture spans 19 effective dimensions at the 95% PCA threshold — with all 20 centers contributing unique variance — refusing to collapse into a relabeled Big Five. Its central metric, Coherence, predicts Trap burden with a large effect (rₛ = −.62), behaving like a clinical outcome measure that tracks structural vulnerability on a continuous gradient. It adds a full third of explainable variance beyond what simpler aggregates capture. And it demonstrates the dual property every clinical instrument needs: stable enough to serve as a reliable baseline (rₛ = .56 for Formations), sensitive enough to detect genuine change.
The near-zero correlations with Big Five and HEXACO dimensions constitute the strongest evidence that the Icosa model occupies new territory in personality measurement, rather than representing a failure of validation. Trait models describe what kind of personality you have. Coherence describes how well that personality is working. The two questions are complementary, not redundant, and answering both gives you a map that neither instrument could provide alone.
For anyone taking an Icosa assessment, this means your profile is a structural reading of how your 20 centers relate to each other, rather than another way of saying you’re introverted or agreeable or open to experience, where the Gateways are open, where the Traps are cycling, where the Basins are holding you in place. And for therapists using the model, it means Coherence is a metric worth tracking: it moves when the system moves, it predicts where dysfunction concentrates, and it captures architectural information that no amount of trait scoring can replicate.
Key Takeaways
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The Icosa model does not replicate the Big Five or HEXACO: correlations with established trait frameworks were essentially zero (rₛ = .01), confirming it measures something different: structural integration rather than trait position.
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Coherence predicts Trap burden with a large effect (rₛ = −.62, 38% of variance), functioning as a clinical thermometer where lower integration reliably corresponds to more active self-reinforcing dysfunction loops.
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All 20 centers carry unique variance — PCA requires 19 components to reach the 95% threshold (95.9% of variance), with the 20th component carrying the remaining signal — meaning each Harmony captures distinct information that can’t be collapsed into fewer factors. This is not a five-factor model in disguise.
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Coherence adds 33% more explainable variance beyond simple averages, capturing Gateway states, Basin dynamics, and structural dependencies that raw center scores miss.
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Formation classifications show large temporal stability (rₛ = .56), while Coherence maintains moderate stability (r = .48), reliable enough to trust as a baseline and sensitive enough to track therapeutic change.
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Change in the Icosa system is nonlinear and punctuated, with small perturbations sometimes crossing structural thresholds that produce rapid reorganization, explaining why therapeutic progress often feels like long plateaus followed by sudden shifts.