FHIR IG analytics| Package | hl7.fhir.uv.xver-r4.r4b.r4b |
| Resource Type | ValueSet |
| Id | ValueSet-R4-probability-distribution-type-for-R4B.json |
| FHIR Version | R4B |
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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.
| Code | System | Display | Definition |
| B | http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType | beta | 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)). |
| F | http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType | F | 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)). |
| LN | http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType | log-normal | 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. |
| T | http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType | T | 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) |
| X2 | http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType | chi square | 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. |
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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": [
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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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"system": "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
"version": "2018-08-12",
"concept": [
{
"code": "B",
"display": "beta"
},
{
"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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"expansion": {
"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",
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{
"system": "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
"version": "2018-08-12",
"code": "F",
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{
"system": "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
"version": "2018-08-12",
"code": "LN",
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{
"system": "http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType",
"version": "2018-08-12",
"code": "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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