Interlinkages Calculation

Linking 𝐸 E (Interdependencies) in Cognitive Signature for Talent Assessment

To link EEE in the Cognitive Signature for a single talent assessment, where all Core Nodes and Trait Zones have been quantified and the Level and Nature of Work are fixed for the job type, the interdependencies EEE can be constructed as follows:

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1. Quantification of Core Nodes and Trait Zones

Each Core Node and Trait Zone is assigned a quantified score T_i, derived from assessment data. These scores represent the strength or activation of each trait.

• T = {T_1, T_2, ..., T_n}, where T_i is the score for trait i.

• Example:

  • T_1: Extraversion score

  • T_2: Analytical Thinking score

  • T_3: Adaptability score

  • T_4: Emotionality score

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2. Initial Interdependencies (w_ij)

A base correlation matrix W is constructed from the quantified trait scores. Each element w_ij represents the statistical correlation between traits T_i and T_j:

w_ij = corr(T_i, T_j)

This matrix W captures the intrinsic relationships between traits before adjustments for the Level and Nature of Work.

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3. Adjustment for Level (g(L)) and Nature (h(N))

The Level and Nature of Work modify the base interdependencies w_ij to reflect job-specific demands:

E_ij = w_ij * g(L) * h(N)

Where:

• g(L): Multiplier for the Level of Work

• h(N): Multiplier for the Nature of Work

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4. Constructing the Final Interdependency Matrix (E)

The final interdependency matrix E is derived by applying the g(L) and h(N) adjustments to the base correlation matrix W. Each element E_ij is computed as:

E = W * g(L) * h(N)

Example:

• Let W = [[1, 0.8], [0.8, 1]], g(L) = 2.0, h(N) = 1.5: E = [[1, 0.8], [0.8, 1]] * 2.0 * 1.5 = [[3.0, 2.4], [2.4, 3.0]]

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5. Linking E to the Cognitive Signature

The adjusted interdependencies E are linked to the Cognitive Signature S = {C, Z, E}:

• C: Core Nodes retain their quantified scores T_i

• Z: Trait Zones retain their quantified scores T_i

• E: Final interdependency matrix reflects the job-specific correlations between traits

This creates a dynamic, job-specific representation of the individual's Cognitive Signature.

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6. Visualization for Insights

The interdependency matrix E can be visualized as a weighted network graph:

• Nodes: Represent Core Nodes and Trait Zones

• Edges: Represent interdependencies E_ij

• Edge Thickness: Reflects the strength of E_ij

• Node Size: Proportional to the quantified scores T_i

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Summary Equation

For a single talent assessment:

E_ij = corr(T_i, T_j) * g(L) * h(N)

Where:

• T_i, T_j: Quantified scores for traits i and j

• g(L): Multiplier based on the Level of Work

• h(N): Multiplier based on the Nature of Work

This ensures E reflects job-specific demands while maintaining the structure of S = {C, Z, E}.