Statistical analysis plan with different statistical test if non-normal distribution

@prefix fhir: <http://hl7.org/fhir/> .
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

# - resource -------------------------------------------------------------------

<http://hl7.org/fhir/Evidence/example-statistic-model-include-if> a fhir:Evidence ;
  fhir:nodeRole fhir:treeRoot ;
  fhir:id [ fhir:v "example-statistic-model-include-if"] ; # 
  fhir:meta [
     fhir:versionId [ fhir:v "9" ] ;
     fhir:lastUpdated [ fhir:v "2025-03-10T14:59:32.227Z"^^xsd:dateTime ] ;
     fhir:profile ( [
       fhir:v "http://hl7.org/fhir/uv/ebm/StructureDefinition/statistic-model"^^xsd:anyURI ;
       fhir:link <http://hl7.org/fhir/uv/ebm/StructureDefinition/statistic-model>
     ] )
  ] ; # 
  fhir:extension ( [
     fhir:url [ fhir:v "http://hl7.org/fhir/StructureDefinition/structuredefinition-wg"^^xsd:anyURI ] ;
     fhir:value [
       a fhir:code ;
       fhir:v "cds"
     ]
  ] ) ; # 
  fhir:url [ fhir:v "https://fevir.net/resources/Evidence/346428"^^xsd:anyURI] ; # 
  fhir:identifier ( [
     fhir:type [
       fhir:text [ fhir:v "FEvIR Object Identifier" ]
     ] ;
     fhir:system [ fhir:v "urn:ietf:rfc:3986"^^xsd:anyURI ] ;
     fhir:value [ fhir:v "https://fevir.net/FOI/346428" ] ;
     fhir:assigner [
       fhir:display [ fhir:v "Computable Publishing LLC" ]
     ]
  ] ) ; # 
  fhir:title [ fhir:v "Example of statistical analysis plan with different statistical test if non-normal distribution"] ; # 
  fhir:status [ fhir:v "active"] ; # 
  fhir:author ( [
     fhir:name [ fhir:v "Brian S. Alper, MD, MSPH" ]
  ] ) ; # 
  fhir:publisher [ fhir:v "HL7 International / Clinical Decision Support"] ; # 
  fhir:contact ( [
     fhir:telecom ( [
       fhir:system [ fhir:v "url" ] ;
       fhir:value [ fhir:v "http://www.hl7.org/Special/committees/dss" ]
     ] )
  ] ) ; # 
  fhir:copyright [ fhir:v "https://creativecommons.org/licenses/by-nc-sa/4.0/"] ; # 
  fhir:description [ fhir:v "This example uses the StatisticModelIncludeIf extension to represent the model characteristic of Welch's 2-sample t-test if the data is consistent with a normal distribution (based on Shapiro-Wilk test with p-value >= 0.05) and a Wilcoxon Mann-Whitney test if not."] ; # 
  fhir:variableDefinition ( [
     fhir:description [ fhir:v "Adults with hypertension" ] ;
     fhir:variableRole [ fhir:v "population" ]
  ] [
     fhir:description [ fhir:v "Reversitol vs. Placebo" ] ;
     fhir:variableRole [ fhir:v "exposure" ]
  ] [
     fhir:description [ fhir:v "Change in systolic blood pressure from baseline to 3 months" ] ;
     fhir:variableRole [ fhir:v "outcome" ]
  ] ) ; # 
  fhir:studyDesign ( [
     fhir:coding ( [
       fhir:system [ fhir:v "https://fevir.net/sevco"^^xsd:anyURI ] ;
       fhir:code [ fhir:v "SEVCO:01003" ] ;
       fhir:display [ fhir:v "randomized assignment" ]
     ] )
  ] ) ; # 
  fhir:statistic ( [
     fhir:statisticType [
       fhir:coding ( [
         fhir:system [ fhir:v "https://fevir.net/sevco"^^xsd:anyURI ] ;
         fhir:code [ fhir:v "STATO:0000457" ] ;
         fhir:display [ fhir:v "difference in means" ]
       ] )
     ] ;
     fhir:modelCharacteristic ( [
       fhir:extension ( [
         fhir:url [ fhir:v "http://hl7.org/fhir/StructureDefinition/statistic-model-include-if"^^xsd:anyURI ] ;
         fhir:extension ( [
           fhir:url [ fhir:v "attribute"^^xsd:anyURI ] ;
           fhir:value [
             a fhir:CodeableConcept ;
             fhir:text [ fhir:v "data distribution" ]
           ]
         ] [
           fhir:url [ fhir:v "value"^^xsd:anyURI ] ;
           fhir:value [
             a fhir:CodeableConcept ;
             fhir:text [ fhir:v "normal distribution (Shapiro-Wilk test with p-value >= 0.05)" ]
           ]
         ] )
       ] ) ;
       fhir:code [
         fhir:text [ fhir:v "Welch's 2-sample t-test" ]
       ] ;
       fhir:intended [ fhir:v true ]
     ] [
       fhir:extension ( [
         fhir:url [ fhir:v "http://hl7.org/fhir/StructureDefinition/statistic-model-include-if"^^xsd:anyURI ] ;
         fhir:extension ( [
           fhir:url [ fhir:v "attribute"^^xsd:anyURI ] ;
           fhir:value [
             a fhir:CodeableConcept ;
             fhir:text [ fhir:v "data distribution" ]
           ]
         ] [
           fhir:url [ fhir:v "value"^^xsd:anyURI ] ;
           fhir:value [
             a fhir:CodeableConcept ;
             fhir:text [ fhir:v "not consistent with normal distribution (Shapiro-Wilk test with p-value < 0.05)" ]
           ]
         ] )
       ] ) ;
       fhir:code [
         fhir:text [ fhir:v "Wilcoxon Mann-Whitney test" ]
       ] ;
       fhir:intended [ fhir:v true ]
     ] )
  ] ) . # 

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