FHIR Cross-Version Extensions package for FHIR R4B from FHIR R4 - Version 0.0.1-snapshot-2. See the Directory of published versions
| Page standards status: Informative | Maturity Level: 0 |
{
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"id" : "R4-probability-distribution-type-for-R4B",
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"div" : "<div xmlns=\"http://www.w3.org/1999/xhtml\"><p class=\"res-header-id\"><b>Generated Narrative: ValueSet R4-probability-distribution-type-for-R4B</b></p><a name=\"R4-probability-distribution-type-for-R4B\"> </a><a name=\"hcR4-probability-distribution-type-for-R4B\"> </a><p>This value set expansion contains 5 concepts.</p><table class=\"codes\"><tr><td style=\"white-space:nowrap\"><b>Code</b></td><td><b>System</b></td><td><b>Display</b></td><td><b>Definition</b></td></tr><tr><td style=\"white-space:nowrap\"><a name=\"R4-probability-distribution-type-for-R4B-http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType-B\"> </a>\u00a0\u00a0<a href=\"http://terminology.hl7.org/6.5.0/CodeSystem-v3-ProbabilityDistributionType.html#v3-ProbabilityDistributionType-B\">B</a></td><td>http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType</td><td>beta</td><td>The 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)).</td></tr><tr><td style=\"white-space:nowrap\"><a name=\"R4-probability-distribution-type-for-R4B-http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType-F\"> </a>\u00a0\u00a0<a href=\"http://terminology.hl7.org/6.5.0/CodeSystem-v3-ProbabilityDistributionType.html#v3-ProbabilityDistributionType-F\">F</a></td><td>http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType</td><td>F</td><td>Used 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)).</td></tr><tr><td style=\"white-space:nowrap\"><a name=\"R4-probability-distribution-type-for-R4B-http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType-LN\"> </a>\u00a0\u00a0<a href=\"http://terminology.hl7.org/6.5.0/CodeSystem-v3-ProbabilityDistributionType.html#v3-ProbabilityDistributionType-LN\">LN</a></td><td>http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType</td><td>log-normal</td><td>The 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.</td></tr><tr><td style=\"white-space:nowrap\"><a name=\"R4-probability-distribution-type-for-R4B-http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType-T\"> </a>\u00a0\u00a0<a href=\"http://terminology.hl7.org/6.5.0/CodeSystem-v3-ProbabilityDistributionType.html#v3-ProbabilityDistributionType-T\">T</a></td><td>http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType</td><td>T</td><td>Used 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)</td></tr><tr><td style=\"white-space:nowrap\"><a name=\"R4-probability-distribution-type-for-R4B-http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType-X2\"> </a>\u00a0\u00a0<a href=\"http://terminology.hl7.org/6.5.0/CodeSystem-v3-ProbabilityDistributionType.html#v3-ProbabilityDistributionType-X2\">X2</a></td><td>http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType</td><td>chi square</td><td>Used 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.</td></tr></table></div>"
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"valueCode" : "fhir"
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"url" : "packageId",
"valueId" : "hl7.fhir.uv.xver-r4.r4b"
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"url" : "version",
"valueString" : "0.0.1-snapshot-2"
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"url" : "http://hl7.org/fhir/StructureDefinition/package-source"
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"extension" : [
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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/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",
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"name" : "FHIR Infrastructure",
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"system" : "url",
"value" : "http://www.hl7.org/Special/committees/fiwg"
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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" : [
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"coding" : [
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"system" : "http://unstats.un.org/unsd/methods/m49/m49.htm",
"code" : "001",
"display" : "World"
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"system" : "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
"version" : "2018-08-12",
"concept" : [
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"code" : "B",
"display" : "beta"
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{
"code" : "F",
"display" : "F"
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{
"code" : "LN",
"display" : "log-normal"
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{
"code" : "T",
"display" : "T"
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{
"code" : "X2",
"display" : "chi square"
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]
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"timestamp" : "2025-09-01T22:36:16.898927+10:00",
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{
"system" : "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
"version" : "2018-08-12",
"code" : "B",
"display" : "beta"
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{
"system" : "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
"version" : "2018-08-12",
"code" : "F",
"display" : "F"
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{
"system" : "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
"version" : "2018-08-12",
"code" : "LN",
"display" : "log-normal"
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{
"system" : "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
"version" : "2018-08-12",
"code" : "T",
"display" : "T"
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{
"system" : "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
"version" : "2018-08-12",
"code" : "X2",
"display" : "chi square"
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