FHIR Cross-Version Extensions package for FHIR R4B from FHIR R4
0.0.1-snapshot-2 - informative International flag

FHIR Cross-Version Extensions package for FHIR R4B from FHIR R4 - Version 0.0.1-snapshot-2. See the Directory of published versions

ValueSet: Cross-version VS for R4.ProbabilityDistributionType for use in FHIR R4B

Official URL: http://hl7.org/fhir/4.0/ValueSet/R4-probability-distribution-type-for-R4B Version: 0.0.1-snapshot-2
Standards status: Informative Maturity Level: 0 Computable Name: R4_probability_distribution_type_for_R4B

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.

References

This value set is not used here; it may be used elsewhere (e.g. specifications and/or implementations that use this content)

Logical Definition (CLD)

  • Include these codes as defined in http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType version 2018-08-12
    CodeDisplayDefinition
    BbetaThe 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)).
    FFUsed 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)).
    LNlog-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.
    TTUsed 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)
    X2chi 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.

 

Expansion

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.

Explanation of the columns that may appear on this page:

Level A few code lists that FHIR defines are hierarchical - each code is assigned a level. In this scheme, some codes are under other codes, and imply that the code they are under also applies
System The source of the definition of the code (when the value set draws in codes defined elsewhere)
Code The code (used as the code in the resource instance)
Display The display (used in the display element of a Coding). If there is no display, implementers should not simply display the code, but map the concept into their application
Definition An explanation of the meaning of the concept
Comments Additional notes about how to use the code