{ "resourceType" : "ValueSet", "id" : "R4-probability-distribution-type-for-R4B", "text" : { "status" : "generated", "div" : "

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

This value set expansion contains 5 concepts.

CodeSystemDisplayDefinition
\u00a0\u00a0Bhttp://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)).
\u00a0\u00a0Fhttp://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)).
\u00a0\u00a0LNhttp://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.
\u00a0\u00a0Thttp://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)
\u00a0\u00a0X2http://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.
" }, "extension" : [{ "url" : "http://hl7.org/fhir/StructureDefinition/structuredefinition-wg", "valueCode" : "fhir" }, { "extension" : [{ "url" : "packageId", "valueId" : "hl7.fhir.uv.xver-r4.r4b" }, { "url" : "version", "valueString" : "0.0.1-snapshot-2" }], "url" : "http://hl7.org/fhir/StructureDefinition/package-source" }, { "url" : "http://hl7.org/fhir/StructureDefinition/structuredefinition-fmm", "valueInteger" : 0, "_valueInteger" : { "extension" : [{ "url" : "http://hl7.org/fhir/StructureDefinition/structuredefinition-conformance-derivedFrom", "valueCanonical" : "http://hl7.org/fhir/4.0/ImplementationGuide/hl7.fhir.uv.xver-r4.r4b" }] } }, { "url" : "http://hl7.org/fhir/StructureDefinition/structuredefinition-standards-status", "valueCode" : "trial-use", "_valueCode" : { "extension" : [{ "url" : "http://hl7.org/fhir/StructureDefinition/structuredefinition-conformance-derivedFrom", "valueCanonical" : "http://hl7.org/fhir/4.0/ImplementationGuide/hl7.fhir.uv.xver-r4.r4b" }] } }], "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" : [{ "system" : "url", "value" : "http://www.hl7.org/Special/committees/fiwg" }] }], "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" : [{ "system" : "http://unstats.un.org/unsd/methods/m49/m49.htm", "code" : "001", "display" : "World" }] }], "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" }] } }