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 |
<ValueSet xmlns="http://hl7.org/fhir">
<id value="R4-probability-distribution-type-for-R4B"/>
<text>
<status value="generated"/>
<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> <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> <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> <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> <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> <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>
</text>
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<valueId value="hl7.fhir.uv.xver-r4.r4b"/>
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<valueString value="0.0.1-snapshot-2"/>
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<version value="0.0.1-snapshot-2"/>
<name value="R4_probability_distribution_type_for_R4B"/>
<title
value="Cross-version VS for R4.ProbabilityDistributionType for use in FHIR R4B"/>
<status value="active"/>
<experimental value="false"/>
<date value="2025-09-01T22:36:16.898926+10:00"/>
<publisher value="FHIR Infrastructure"/>
<contact>
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<value value="http://www.hl7.org/Special/committees/fiwg"/>
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<description
value="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."/>
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<system value="http://unstats.un.org/unsd/methods/m49/m49.htm"/>
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<display value="World"/>
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<include>
<system
value="http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType"/>
<version value="2018-08-12"/>
<concept>
<code value="B"/>
<display value="beta"/>
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<concept>
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<display value="F"/>
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<concept>
<code value="LN"/>
<display value="log-normal"/>
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<concept>
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<display value="T"/>
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<concept>
<code value="X2"/>
<display value="chi square"/>
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<timestamp value="2025-09-01T22:36:16.898927+10:00"/>
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<system
value="http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType"/>
<version value="2018-08-12"/>
<code value="B"/>
<display value="beta"/>
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<contains>
<system
value="http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType"/>
<version value="2018-08-12"/>
<code value="F"/>
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<contains>
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<code value="LN"/>
<display value="log-normal"/>
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<contains>
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<version value="2018-08-12"/>
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<contains>
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<code value="X2"/>
<display value="chi square"/>
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