Rogers Diffusion Adopter Categories Percent Split

Convert five cumulative adopter-category cutoffs into category shares, defaulting to a common diffusion split.

Description

Cumulative adopter cutoffs must be differenced to obtain category shares.

Cumulative adopter cutoffs must be differenced to obtain category shares. Their meaning differs from five shares that already sum to 100.1

The returned values include Category shares percent, Cumulative category cutoffs percent, Innovators percent, Early adopters percent, Early majority percent, Late majority percent, Laggards percent. The How section below explains the calculation, input rules and interpretation.

When to use Rogers Diffusion Adopter Categories Percent Split

Use Rogers Diffusion Adopter Categories Percent Split when you need to evaluate the supplied records under the calculation and evidence rules below. The embedded default yields shares [2.5,11,20.5,34,32], not the familiar Rogers split [2.5,13.5,34,34,16]. To request that split, supply cumulative [2.5,16,50,84,100]. No adoption prediction is calculated.

Define the question, evidence and scenario assumptions first. Supply the chosen score scales, time horizons or reference selection explicitly. Interpret generated text as a discussion template and screen labels as the stated rules.

How to use Rogers Diffusion Adopter Categories Percent Split and understand its results

  1. Define the question, evidence and scenario assumptions first. Supply the chosen score scales, time horizons or reference selection explicitly. Interpret generated text as a discussion template and screen labels as the stated rules.
  2. Enter cumulativeCategoryCutoffsPercent using the field table and calculation rules, then run the tool.
  3. Read categorySharesPercent, cumulativeCategoryCutoffsPercent, innovatorsPercent, earlyAdoptersPercent, earlyMajorityPercent, lateMajorityPercent, laggardsPercent. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
cumulativeCategoryCutoffsPercentExactly five cumulative cutoffs ending at 100. (%)list of number; default when omitted: [2.5,13.5,34,68,100]Optional

Use five finite nondecreasing cumulative cutoffs 0–100 ending100. Omitted input uses [2.5,13.5,34,68,100]. Return copied cutoffs, shares and named values in innovators/earlyAdopters/earlyMajority/lateMajority/laggards order.

share_i=cutoff_i−previousCutoff; previousCutoff_0=0

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
categorySharesPercentCategory shares percent (%)list of number
cumulativeCategoryCutoffsPercentCumulative category cutoffs percent (%)list of number
innovatorsPercentInnovators percent (%)number; minimum: 0; maximum: 100
earlyAdoptersPercentEarly adopters percent (%)number; minimum: 0; maximum: 100
earlyMajorityPercentEarly majority percent (%)number; minimum: 0; maximum: 100
lateMajorityPercentLate majority percent (%)number; minimum: 0; maximum: 100
laggardsPercentLaggards percent (%)number; minimum: 0; maximum: 100
json
{
  "input": {
    "cumulativeCategoryCutoffsPercent": [
      2.5,
      13.5,
      34,
      68,
      100
    ]
  },
  "output": {
    "categorySharesPercent": [
      2.5,
      11,
      20.5,
      34,
      32
    ],
    "cumulativeCategoryCutoffsPercent": [
      2.5,
      13.5,
      34,
      68,
      100
    ],
    "innovatorsPercent": 2.5,
    "earlyAdoptersPercent": 11,
    "earlyMajorityPercent": 20.5,
    "lateMajorityPercent": 34,
    "laggardsPercent": 32
  }
}

Limitations and assumptions

The embedded default yields shares [2.5,11,20.5,34,32], not the familiar Rogers split [2.5,13.5,34,34,16]. To request that split, supply cumulative [2.5,16,50,84,100]. No adoption prediction is calculated.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Core numeric and string lists are limited to 100,000 entries; text entries are subject to the general large-text limit. Follow any smaller calculation limits above. Missing fields without a declared default, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use S Curve Adoption Phase Innovators Laggards Mapper: Adopter phase labels describe where cumulative adoption lies against category endpoints. This tool uses caller-provided cutoffs. For a complementary task, use Crossing the Chasm Early Majority Gap Strategy Lookup: An early-majority adoption barrier may concern affordability, compatibility, credibility, usability or value. This reference links a chosen barrier to a generic strategy and evidence target.

References

  1. Rogers Diffusion Adopter Categories Percent Split — tool.io

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