Structural Hole Redundancy Measure Calculator
Actual observed ego-alter subgraph excludes ego itself; binary undirected effective-size n−2t/n and redundancy2t/n. Not Burtconstraint or a count of unobserved ties; complete observation assumption caller verified.
Description
Structural-hole redundancy describes ties among an ego's observed alters.
Structural-hole redundancy describes ties among an ego's observed alters.1
An unweighted alter graph supports a simplified effective-size calculation without measuring relationship quality.
When to use Structural Hole Redundancy Measure Calculator
Use this tool to obtain observedAlterCount, observedAlterTieCount, conditionalRedundancy, conditionalEffectiveSize from the supplied records using the stated calculation. Establish the population, period, variable definitions, sample coverage and independently applicable instrument or calibration.
How to use Structural Hole Redundancy Measure Calculator and understand its results
- Establish the population, period, variable definitions, sample coverage and independently applicable instrument or calibration.
- Enter observedAlterAdjacency, using the field meanings and rules below, then run the tool.
- Read result.observedAlterCount, result.observedAlterTieCount, result.conditionalRedundancy, result.conditionalEffectiveSize. Use the units and sign conventions below, and review any unknown records separately.
- Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedAlterAdjacency | Observed alter adjacency | numeric matrix | Required |
Require a symmetric binary square adjacency matrix for two through 32 alters, with a zero diagonal. Count undirected ties as half the matrix sum; compute two times ties per alter as redundancy and subtract it from alter count for effective size. No weights, ego row or directed interpretation is accepted.
ties=Σadjacency/2; redundancy=2×ties/n; effectiveSize=n−redundancy Use the matching field units and the exact boundary, ordering and reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Calculated observation or qualified reference | object |
| result.observedAlterCount | Number of alters represented by the supplied graph. | number |
| result.observedAlterTieCount | Number of undirected ties among those alters. | number |
| result.conditionalRedundancy | Two times alter ties divided by alter count under the simplified convention. | number |
| result.conditionalEffectiveSize | Alter count minus the declared redundancy. | number |
{
"input": {
"observedAlterAdjacency": [
[
0,
1,
0
],
[
1,
0,
0
],
[
0,
0,
0
]
]
},
"output": {
"result": {
"observedAlterCount": 3,
"observedAlterTieCount": 1,
"conditionalRedundancy": 0.6666666666666666,
"conditionalEffectiveSize": 2.3333333333333335
}
}
}Limitations and assumptions
Population definitions, survey design, calibration and observation coverage are independently established. A result describes the supplied record or conditional model without demonstrating causation, validating an instrument or supplying representative population evidence.
Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric matrices allow at most 128 rows and 128 columns, subject to the narrower shape requirements above. Extremely large composite outputs are rejected.
Alternative or Complementary methods
For a related step, use Burt Network Constraint Efficiency Calculator: Ego network constraint measures direct and indirect dependence under an adopted tie normalization. For a complementary comparison, use Bridging/Bonding Capital Ratio Calculator: Bridging and bonding counts depend on independently established tie categories.
References
Similar or alternative tools
- Burt Network Constraint Efficiency Calculator
Ego network constraint measures direct and indirect dependence under an adopted tie normalization.
- Bridging/Bonding Capital Ratio Calculator
Bridging and bonding counts depend on independently established tie categories.