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analytics.owl
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<?xml version="1.0"?>
<rdf:RDF xmlns="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#"
xml:base="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl"
xmlns:analytics="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#"
xmlns:xsp="http://www.owl-ontologies.com/2005/08/07/xsp.owl#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:terms="http://purl.org/dc/terms/"
xmlns:owl="http://www.w3.org/2002/07/owl#"
xmlns:xml="http://www.w3.org/XML/1998/namespace"
xmlns:protege="http://protege.stanford.edu/plugins/owl/protege#"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#"
xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#">
<owl:Ontology rdf:about="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl">
<owl:versionIRI rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl"/>
<terms:creator xml:lang="en">Michael E. Cotterell</terms:creator>
<terms:creator xml:lang="en">Mustafa V. Nural</terms:creator>
<rdfs:seeAlso rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://cobweb.cs.uga.edu/~jam/scalation.html</rdfs:seeAlso>
<terms:creator xml:lang="en">John A. Miller</terms:creator>
<rdfs:comment rdf:datatype="http://www.w3.org/2001/XMLSchema#string">This ontology aims to provide comphresensive yet practical representation of data analytics framework.</rdfs:comment>
<owl:versionInfo rdf:datatype="http://www.w3.org/2001/XMLSchema#string">1.0</owl:versionInfo>
<rdfs:label rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Analytics Ontology</rdfs:label>
</owl:Ontology>
<!--
///////////////////////////////////////////////////////////////////////////////////////
//
// Annotation properties
//
///////////////////////////////////////////////////////////////////////////////////////
-->
<!-- http://purl.org/dc/terms/alternative -->
<owl:AnnotationProperty rdf:about="http://purl.org/dc/terms/alternative"/>
<!-- http://purl.org/dc/terms/creator -->
<owl:AnnotationProperty rdf:about="http://purl.org/dc/terms/creator"/>
<!-- http://purl.org/dc/terms/description -->
<owl:AnnotationProperty rdf:about="http://purl.org/dc/terms/description"/>
<!-- http://purl.org/dc/terms/source -->
<owl:AnnotationProperty rdf:about="http://purl.org/dc/terms/source"/>
<!-- https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#defaultModel -->
<owl:AnnotationProperty rdf:about="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#defaultModel"/>
<!--
///////////////////////////////////////////////////////////////////////////////////////
//
// Object Properties
//
///////////////////////////////////////////////////////////////////////////////////////
-->
<!-- https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasDistribution -->
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<rdf:type rdf:resource="http://www.w3.org/2002/07/owl#FunctionalProperty"/>
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<owl:propertyDisjointWith rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasResponseVariable"/>
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<!-- https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasResponseVariable -->
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<owl:propertyDisjointWith rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasTemporalVariable"/>
</owl:ObjectProperty>
<!-- https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasTemporalVariable -->
<owl:ObjectProperty rdf:about="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasTemporalVariable">
<rdfs:subPropertyOf rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasVariable"/>
<rdfs:domain rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#Model"/>
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<!-- https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasVariable -->
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<rdfs:domain rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#Variable"/>
<rdfs:range rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#Variable_Type"/>
</owl:ObjectProperty>
<!--
///////////////////////////////////////////////////////////////////////////////////////
//
// Data properties
//
///////////////////////////////////////////////////////////////////////////////////////
-->
<!-- https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasConditionNumber -->
<owl:DatatypeProperty rdf:about="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasConditionNumber">
<rdf:type rdf:resource="http://www.w3.org/2002/07/owl#FunctionalProperty"/>
<rdfs:domain rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#Model"/>
<rdfs:range rdf:resource="http://www.w3.org/2001/XMLSchema#int"/>
</owl:DatatypeProperty>
<!-- https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasKurtosis -->
<owl:DatatypeProperty rdf:about="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasKurtosis">
<rdf:type rdf:resource="http://www.w3.org/2002/07/owl#FunctionalProperty"/>
<rdfs:domain rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#Variable"/>
<rdfs:range rdf:resource="http://www.w3.org/2001/XMLSchema#double"/>
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<!-- https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasNegativeDF -->
<owl:DatatypeProperty rdf:about="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasNegativeDF">
<rdf:type rdf:resource="http://www.w3.org/2002/07/owl#FunctionalProperty"/>
<rdfs:domain rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#Model"/>
<rdfs:range rdf:resource="http://www.w3.org/2001/XMLSchema#boolean"/>
</owl:DatatypeProperty>
<!-- https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasRepeatedObservations -->
<owl:DatatypeProperty rdf:about="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasRepeatedObservations">
<rdf:type rdf:resource="http://www.w3.org/2002/07/owl#FunctionalProperty"/>
<rdfs:domain rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#Model"/>
<rdfs:range rdf:resource="http://www.w3.org/2001/XMLSchema#boolean"/>
</owl:DatatypeProperty>
<!-- https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#isIllConditioned -->
<owl:DatatypeProperty rdf:about="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#isIllConditioned">
<rdf:type rdf:resource="http://www.w3.org/2002/07/owl#FunctionalProperty"/>
<rdfs:domain rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#Model"/>
<rdfs:range rdf:resource="http://www.w3.org/2001/XMLSchema#boolean"/>
<rdfs:comment xml:lang="en">Indicates whether the input matrix (predictors) of this model is ill-conditioned. If the log of condition number of the matrix is greater than or equal to 18, it is determined to be ill-conditioned.</rdfs:comment>
</owl:DatatypeProperty>
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<!--
///////////////////////////////////////////////////////////////////////////////////////
//
// Classes
//
///////////////////////////////////////////////////////////////////////////////////////
-->
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<owl:Restriction>
<owl:onProperty rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasPredictorVariable"/>
<owl:someValuesFrom>
<owl:Restriction>
<owl:onProperty rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasVariableType"/>
<owl:allValuesFrom rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#Categorical"/>
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<owl:Restriction>
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<owl:onProperty rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasDistribution"/>
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</owl:Restriction>
</owl:allValuesFrom>
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</owl:intersectionOf>
</owl:Class>
</owl:equivalentClass>
<rdfs:subClassOf rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#GLM"/>
<terms:alternative xml:lang="en">Analysis of Covariance</terms:alternative>
<rdfs:label xml:lang="en">ANCOVA</rdfs:label>
</owl:Class>
<owl:Axiom>
<owl:annotatedSource rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#ANCOVA"/>
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</owl:annotatedTarget>
<rdfs:comment rdf:datatype="http://www.w3.org/2001/XMLSchema#string">A model may be considered as an ANCOVA model if in addition to conforming to GLM requirements it has some categorical variables (factors).</rdfs:comment>
</owl:Axiom>
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<owl:Class rdf:about="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#ANOVA">
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<terms:alternative xml:lang="en">Analysis of Variance</terms:alternative>
<rdfs:label xml:lang="en">ANOVA</rdfs:label>
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<owl:Axiom>
<owl:annotatedSource rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#ANOVA"/>
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</owl:allValuesFrom>
</owl:Restriction>
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</owl:Class>
</owl:annotatedTarget>
<rdfs:comment rdf:datatype="http://www.w3.org/2001/XMLSchema#string">An ANCOVA model may be considered as an ANOVA model if it only has categorical variables (factors).</rdfs:comment>
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<rdfs:subClassOf rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#Exponential_Family"/>
<terms:description xml:lang="en">A Bernoulli distribution is a probability distribution that models the Bernoulli trials process. A sequence of Bernoulli trials satisfies the following assumptions: i) Each trial has two possible outcomes, in the language of reliability called success and failure; ii) The trials are independent;
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<owl:disjointWith rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#Ordinal"/>
<terms:alternative xml:lang="en">Dichotomous</terms:alternative>
<terms:description xml:lang="en">A variable with a binary variable type generally denotes that the domain of discourse of the variable is dichotomous. This means that the variable can only take on one of two values.</terms:description>
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<rdfs:label xml:lang="en">Binomial Distribution</rdfs:label>
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<terms:alternative xml:lang="en">Polychotomous</terms:alternative>
<terms:description xml:lang="en">A variable with a categorical variable type generally denotes that the domain of discourse of the variable is polychotomous. This means that the variable can take on one of a finite number of values.</terms:description>
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<terms:description xml:lang="en">A variable with a continuous variable type generally denotes that the domain of discourse for the variable is the set of real numbers.</terms:description>
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<terms:description xml:lang="en">A variable with a discrete variable type generally denotes that the domain of discourse of the variable includes only elements that are individually separate and distinct.</terms:description>
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<terms:description xml:lang="en">A probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey, or procedure of statistical inference.</terms:description>
<rdfs:label xml:lang="en">Distribution</rdfs:label>
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<terms:description xml:lang="en">An exponential distribution is a probability distribution that models the time between subsequent events based on a rate parameter.</terms:description>
<rdfs:label xml:lang="en">Exponential Distribution</rdfs:label>
<rdfs:seeAlso rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://www.math.uah.edu/stat/poisson/Exponential.html</rdfs:seeAlso>
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<terms:description xml:lang="en">The exponential family of distributions is the set of probability distributions whose probaility distribution functions (PDFs) and cumulative distribution functions (CDFs) can be written such that their terms are moved to the exponent (often called the canonical form.</terms:description>
<terms:source xml:lang="en">FISHER, R. A. (1934). Two new properties of mathematical likelihood. Proceedings of the Royal Society A, 144, 285-307.</terms:source>
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<rdf:Description rdf:about="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#GZLM"/>
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<owl:Restriction>
<owl:onProperty rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#hasResidualDistribution"/>
<owl:cardinality rdf:datatype="http://www.w3.org/2001/XMLSchema#nonNegativeInteger">0</owl:cardinality>
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<rdfs:comment rdf:datatype="http://www.w3.org/2001/XMLSchema#string">A GZLM model may be considered as an Exponential Regression Model if the residual distribution of the model is Exponential Distribution and the response variable is a Non-Negative Continuous variable.</rdfs:comment>
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<terms:description xml:lang="en">A function is a relation that uniquely associates members of one set with members of another set.</terms:description>
<rdfs:label xml:lang="en">Function</rdfs:label>
<rdfs:seeAlso rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://mathworld.wolfram.com/Function.html</rdfs:seeAlso>
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<owl:Class>
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<owl:Restriction>
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<rdfs:subClassOf rdf:resource="https://raw.githubusercontent.com/scalation/analytics/master/analytics.owl#DependentModel"/>
<terms:alternative xml:lang="en">Generalized Estimating Equations</terms:alternative>
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<owl:cardinality rdf:datatype="http://www.w3.org/2001/XMLSchema#nonNegativeInteger">0</owl:cardinality>
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<terms:alternative xml:lang="en">General Linear Model</terms:alternative>
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2) The residuals are Normally distributed.</rdfs:comment>
<rdfs:label xml:lang="en">GLM</rdfs:label>
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<owl:cardinality rdf:datatype="http://www.w3.org/2001/XMLSchema#nonNegativeInteger">0</owl:cardinality>
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<rdfs:comment rdf:datatype="http://www.w3.org/2001/XMLSchema#string">A GZLM model may be considered as a GLM model if its residuals are Normally Distributed and the response variable is a Continuous variable.</rdfs:comment>
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<terms:alternative xml:lang="en">Generalized Linear Mixed Models</terms:alternative>
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<terms:alternative xml:lang="en">Generalized Linear Model</terms:alternative>
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