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Packagehl7.fhir.uv.xver-r4.r4b.r4b
Resource TypeValueSet
IdValueSet-R4-probability-distribution-type-for-R4B.json
FHIR VersionR4B

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Narrative

Note: links and images are rebased to the (stated) source

Generated Narrative: ValueSet R4-probability-distribution-type-for-R4B

This value set expansion contains 5 concepts.

CodeSystemDisplayDefinition
  Bhttp://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionTypebetaThe beta-distribution is used for data that is bounded on both sides and may or may not be skewed (e.g., occurs when probabilities are estimated.) Two parameters a and b are available to adjust the curve. The mean m and variance s2 relate as follows: m = a/ (a + b) and s2 = ab/((a + b)2 (a + b + 1)).
  Fhttp://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionTypeFUsed to describe the quotient of two c2 random variables. The F-distribution has two parameters n1 and n2, which are the numbers of degrees of freedom of the numerator and denominator variable respectively. The relationship to mean m and variance s2 are: m = n2 / (n2 - 2) and s2 = (2 n2 (n2 + n1 - 2)) / (n1 (n2 - 2)2 (n2 - 4)).
  LNhttp://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionTypelog-normalThe logarithmic normal distribution is used to transform skewed random variable X into a normally distributed random variable U = log X. The log-normal distribution can be specified with the properties mean m and standard deviation s. Note however that mean m and standard deviation s are the parameters of the raw value distribution, not the transformed parameters of the lognormal distribution that are conventionally referred to by the same letters. Those log-normal parameters mlog and slog relate to the mean m and standard deviation s of the data value through slog2 = log (s2/m2 + 1) and mlog = log m - slog2/2.
  Thttp://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionTypeTUsed to describe the quotient of a normal random variable and the square root of a c2 random variable. The t-distribution has one parameter n, the number of degrees of freedom. The relationship to mean m and variance s2 are: m = 0 and s2 = n / (n - 2)
  X2http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionTypechi squareUsed to describe the sum of squares of random variables which occurs when a variance is estimated (rather than presumed) from the sample. The only parameter of the c2-distribution is n, so called the number of degrees of freedom (which is the number of independent parts in the sum). The c2-distribution is a special type of g-distribution with parameter a = n /2 and b = 2. Hence, m = n and s2 = 2 n.

Source1

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    "status": "generated",
    "div": "<!-- snip (see above) -->"
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    {
      "extension": [
        {
          "url": "packageId",
          "valueId": "hl7.fhir.uv.xver-r4.r4b"
        },
        {
          "url": "version",
          "valueString": "0.0.1-snapshot-2"
        }
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      "url": "http://hl7.org/fhir/StructureDefinition/package-source"
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      "valueInteger": 0,
      "_valueInteger": {
        "extension": [
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            "url": "http://hl7.org/fhir/StructureDefinition/structuredefinition-conformance-derivedFrom",
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      "valueCode": "trial-use",
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            "url": "http://hl7.org/fhir/StructureDefinition/structuredefinition-conformance-derivedFrom",
            "valueCanonical": "http://hl7.org/fhir/4.0/ImplementationGuide/hl7.fhir.uv.xver-r4.r4b"
          }
        ]
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    }
  ],
  "url": "http://hl7.org/fhir/4.0/ValueSet/R4-probability-distribution-type-for-R4B",
  "version": "0.0.1-snapshot-2",
  "name": "R4_probability_distribution_type_for_R4B",
  "title": "Cross-version VS for R4.ProbabilityDistributionType for use in FHIR R4B",
  "status": "active",
  "experimental": false,
  "date": "2025-09-01T22:36:16.898926+10:00",
  "publisher": "FHIR Infrastructure",
  "contact": [
    {
      "name": "FHIR Infrastructure",
      "telecom": [
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          "system": "url",
          "value": "http://www.hl7.org/Special/committees/fiwg"
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      ]
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  "description": "This cross-version ValueSet represents concepts from http://hl7.org/fhir/ValueSet/probability-distribution-type|4.0.1 for use in FHIR R4B. Concepts not present here have direct `equivalent` mappings crossing all versions from R4 to R4B.",
  "jurisdiction": [
    {
      "coding": [
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          "system": "http://unstats.un.org/unsd/methods/m49/m49.htm",
          "code": "001",
          "display": "World"
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    }
  ],
  "compose": {
    "include": [
      {
        "system": "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
        "version": "2018-08-12",
        "concept": [
          {
            "code": "B",
            "display": "beta"
          },
          {
            "code": "F",
            "display": "F"
          },
          {
            "code": "LN",
            "display": "log-normal"
          },
          {
            "code": "T",
            "display": "T"
          },
          {
            "code": "X2",
            "display": "chi square"
          }
        ]
      }
    ]
  },
  "expansion": {
    "timestamp": "2025-09-01T22:36:16.898927+10:00",
    "contains": [
      {
        "system": "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
        "version": "2018-08-12",
        "code": "B",
        "display": "beta"
      },
      {
        "system": "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
        "version": "2018-08-12",
        "code": "F",
        "display": "F"
      },
      {
        "system": "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
        "version": "2018-08-12",
        "code": "LN",
        "display": "log-normal"
      },
      {
        "system": "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
        "version": "2018-08-12",
        "code": "T",
        "display": "T"
      },
      {
        "system": "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
        "version": "2018-08-12",
        "code": "X2",
        "display": "chi square"
      }
    ]
  }
}