# baseURI: https://www.omg.org/spec/Commons/StatisticalMeasures/ # imports: https://www.omg.org/spec/Commons/AnnotationVocabulary/ # imports: https://www.omg.org/spec/Commons/Classifiers/ # imports: https://www.omg.org/spec/Commons/Collections/ # imports: https://www.omg.org/spec/Commons/ContextualDesignators/ # imports: https://www.omg.org/spec/Commons/DatesAndTimes/ # imports: https://www.omg.org/spec/Commons/Designators/ # imports: https://www.omg.org/spec/Commons/Identifiers/ # imports: https://www.omg.org/spec/Commons/Locations/ # imports: https://www.omg.org/spec/Commons/Organizations/ # imports: https://www.omg.org/spec/Commons/QuantitiesAndUnits/ # imports: https://www.omg.org/spec/Commons/TextDatatype/ @base . @prefix cmns-av: . @prefix cmns-cls: . @prefix cmns-col: . @prefix cmns-cxtdsg: . @prefix cmns-dsg: . @prefix cmns-dt: . @prefix cmns-id: . @prefix cmns-loc: . @prefix cmns-org: . @prefix cmns-qtu: . @prefix cmns-stat: . @prefix cmns-txt: . @prefix dcterms: . @prefix owl: . @prefix rdf: . @prefix rdfs: . @prefix skos: . @prefix xsd: . a owl:Ontology ; rdfs:label "Statistical Measures Ontology" ; dcterms:abstract "This ontology defines statistical measures, i.e., common mathematical operations on data, including basic measures such as difference, mean, median, standard deviation, and population-related concepts. It does not cover statistical methods, however, for which other ontologies such as STAT-O may be useful." ; dcterms:contributor "Dan Gillman, U.S. Department of Labor, Bureau of Labor Statistics (BLS)" , "Elisa Kendall, Thematix Partners LLC" , "Lucy Abboud, Statistics Canada" , "Pete Rivett, agnos.ai U.K. Ltd" ; dcterms:license "https://opensource.org/licenses/MIT"^^xsd:anyURI ; owl:imports , , , , , , , , , , ; owl:versionIRI ; skos:note "This ontology was originally designed for and has been adapted from the Financial Industry Business Ontology (FIBO) Analytics Ontology." ; cmns-av:copyright "Copyright (c) 2013-2024 EDM Council, Inc." , "Copyright (c) 2013-2024 Object Management Group, Inc." , "Copyright (c) 2013-2024 Thematix Partners LLC" , "Copyright (c) 2021-2024 agnos.ai U.K. Ltd" ; cmns-av:usageNote "Note that this ontology can be mapped to STAT-O, given that there is overlap but not a 1-1 correspondence in terms of coverage. It does not extend STAT-O, however, as STAT-O duplicates terminology from a number of ontologies from the OBO Foundry, some of which are not standardized, and which may be an issue for some use cases." ; . cmns-stat:AnnualizedStandardDeviation a owl:Class ; rdfs:subClassOf cmns-stat:StandardDeviation , [ a owl:Restriction ; owl:onProperty cmns-stat:hasReferencePeriod ; owl:onClass cmns-stat:ExplicitRecurrenceInterval ; owl:qualifiedCardinality "1"^^xsd:nonNegativeInteger ; ] ; rdfs:label "annualized standard deviation" ; rdfs:isDefinedBy ; skos:definition "standard deviation for some measure over a specific reference period" ; cmns-av:explanatoryNote "Standard deviation applied to the annual rate of return of an investment provides insights on the historical volatility of that investment. The greater the standard deviation of the price of a security, the greater the volatility. Multiplying monthly standard deviation by the square root of twelve (12) is an industry standard method of approximating annualized standard deviations of monthly returns." ; . cmns-stat:ArithmeticMean a owl:Class ; rdfs:subClassOf cmns-stat:Mean ; rdfs:label "arithmetic mean" ; rdfs:isDefinedBy ; rdfs:seeAlso , ; skos:definition "sum of a collection of numbers dividing the resulting sum by the quantity of numbers summed" ; cmns-av:explanatoryNote "While the arithmetic mean is often used to report central tendencies, it is not a robust statistic, meaning that it is greatly influenced by outliers (values that are very much larger or smaller than most of the values). Notably, for skewed distributions, such as the distribution of income for which a few people's incomes are substantially greater than most people's, the arithmetic mean may not accord with one's notion of 'middle', and robust statistics, such as the median, may be a better description of central tendency." ; cmns-av:synonym "average" ; . cmns-stat:AverageAbsoluteDeviation a owl:Class ; rdfs:subClassOf cmns-stat:Dispersion , [ a owl:Restriction ; owl:onProperty cmns-qtu:hasArgument ; owl:someValuesFrom [ a owl:Class ; owl:unionOf ( cmns-stat:Mean cmns-stat:Median ) ; ] ; ] ; rdfs:label "average absolute deviation" ; rdfs:isDefinedBy ; rdfs:seeAlso ; skos:definition "average of the absolute deviations from a central point" ; cmns-av:abbreviation "AAD" ; cmns-av:explanatoryNote "The central point can be the mean, median, mode, or the result of another measure of central tendency. Absolute deviation is the distance between each value in the data set and that data set's mean or median." ; cmns-av:synonym "mean absolute deviation" ; . cmns-stat:CalculatedDate a owl:Class ; rdfs:subClassOf cmns-dt:Date ; rdfs:label "calculated date" ; rdfs:isDefinedBy ; owl:disjointWith cmns-dt:ExplicitDate ; skos:definition "date that is or will be determined based on some formula" ; cmns-av:explanatoryNote "The hasDateValue property of a CalculatedDate is not set until the Date is calculated. Since the calculation may depend upon future events that may or may not ever happen, the hasDateValue property may never be set." ; . cmns-stat:Difference a owl:Class ; rdfs:subClassOf cmns-qtu:Expression , cmns-stat:StatisticalMeasure , [ a owl:Restriction ; owl:onProperty cmns-stat:hasMinuend ; owl:cardinality "1"^^xsd:nonNegativeInteger ; ] , [ a owl:Restriction ; owl:onProperty cmns-stat:hasSubtrahend ; owl:cardinality "1"^^xsd:nonNegativeInteger ; ] ; rdfs:label "difference" ; rdfs:isDefinedBy ; rdfs:seeAlso ; skos:definition "quantity by which amounts differ; the remainder left after subtraction of one value from another" ; . cmns-stat:Dispersion a owl:Class ; rdfs:subClassOf cmns-qtu:Expression , cmns-stat:StatisticalMeasure , [ a owl:Restriction ; owl:onProperty cmns-stat:hasCollectionSize ; owl:maxQualifiedCardinality "1"^^xsd:nonNegativeInteger ; owl:onDataRange xsd:nonNegativeInteger ; ] , [ a owl:Restriction ; owl:onProperty cmns-cxtdsg:appliesTo ; owl:someValuesFrom cmns-stat:FinitePopulation ; ] , [ a owl:Restriction ; owl:onProperty cmns-stat:hasObservedValue ; owl:someValuesFrom cmns-col:StructuredCollection ; ] ; rdfs:label "dispersion" ; rdfs:isDefinedBy ; rdfs:seeAlso ; skos:definition "degree of scatter or variability shown by observations" ; skos:example "Common examples of measures of statistical dispersion are the variance, standard deviation, and interquartile range. The collection size argument, above, represents the number of elements in the set, if known. The collection of values under consideration is represented as a structured collection in FIBO, typically a sample set derived from a finite population." ; cmns-av:explanatoryNote "A measure of statistical dispersion is a nonnegative real number that is zero if all the data are the same and increases as the data become more diverse." , "It is usually measured as an average deviation about some central value (e.g. mean deviation, standard deviation) or by an order statistic (e.g. quartile deviation, range) but may also be a mean of deviations of values among themselves (e.g. Gini's mean difference and also standard deviation)." ; . cmns-stat:ExplicitRecurrenceInterval a owl:Class ; rdfs:subClassOf cmns-stat:RecurrenceInterval , [ a owl:Restriction ; owl:onProperty cmns-dt:hasDurationValue ; owl:onDataRange xsd:string ; owl:qualifiedCardinality "1"^^xsd:nonNegativeInteger ; ] ; rdfs:label "explicit recurrence interval" ; rdfs:isDefinedBy ; skos:definition "recurrence interval defined via an explicit duration" ; . cmns-stat:FinitePopulation a owl:Class ; rdfs:subClassOf cmns-col:Collection ; rdfs:label "finite population" ; rdfs:isDefinedBy ; skos:definition "population for which it is possible to count its units" ; cmns-av:explanatoryNote "In statistics, a population is a set of similar items or events of interest for some question or experiment. In other words, a population is the complete group of units to which survey results are to apply. (These units may be persons, animals, objects, businesses, trips, etc.)." ; . cmns-stat:GeometricMean a owl:Class ; rdfs:subClassOf cmns-stat:Mean ; rdfs:label "geometric mean" ; rdfs:isDefinedBy ; skos:definition "mean that indicates the central tendency or typical value of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum)" ; cmns-av:explanatoryNote "The geometric mean is defined as the nth root of the product of n numbers. A geometric mean is often used when comparing different items - finding a single 'figure of merit' for these items - when each item has multiple properties that have different numeric ranges. For example, the geometric mean can give a meaningful 'average' to compare two companies which are each rated at 0 to 5 for their environmental sustainability, and are rated at 0 to 100 for their financial viability. If an arithmetic mean were used instead of a geometric mean, the financial viability is given more weight because its numeric range is larger - so a small percentage change in the financial rating (e.g. going from 80 to 90) makes a much larger difference in the arithmetic mean than a large percentage change in environmental sustainability (e.g. going from 2 to 5)." ; . cmns-stat:Mean a owl:Class ; rdfs:subClassOf cmns-qtu:Expression , cmns-stat:StatisticalMeasure , [ a owl:Restriction ; owl:onProperty cmns-stat:hasObservedValue ; owl:someValuesFrom cmns-col:StructuredCollection ; ] ; rdfs:label "mean" ; rdfs:isDefinedBy ; skos:definition "most common measure of central tendency; the average of a set of numbers" ; cmns-av:adaptedFrom "https://www.bls.gov/bls/glossary.htm"^^xsd:anyURI , "https://www150.statcan.gc.ca/n1/edu/power-pouvoir/glossary-glossaire/5214842-eng.htm"^^xsd:anyURI ; cmns-av:explanatoryNote "When unqualified, the mean usually refers to the expectation of a variate, or to the arithmetic mean of a sample used as an estimate of the expectation." ; cmns-av:symbol "μ" ; cmns-av:synonym "expected value" , "first (raw) moment" ; . cmns-stat:Median a owl:Class ; rdfs:subClassOf cmns-qtu:Expression , cmns-stat:StatisticalMeasure , [ a owl:Restriction ; owl:onProperty cmns-stat:hasObservedValue ; owl:someValuesFrom cmns-col:StructuredCollection ; ] ; rdfs:label "median" ; rdfs:isDefinedBy ; skos:definition "value of the variate dividing the total frequency of a data sample, population, or probability distribution, into two halves" ; cmns-av:adaptedFrom "https://www150.statcan.gc.ca/n1/edu/power-pouvoir/glossary-glossaire/5214842-eng.htm"^^xsd:anyURI ; cmns-av:explanatoryNote "The basic advantage of the median in describing data compared to the mean is that it is not skewed by extremely large or small values, and may provide a better idea of a 'typical' value." , "This measure represents the middle value (if n is odd) or the average of the two middle values (if n is even) in an ordered list of data values. The median divides the total frequency distribution into two equal parts: one-half of the cases fall below the median and one-half of the cases exceed the median." ; cmns-av:synonym "second quartile" ; . cmns-stat:MedianAbsoluteDeviation a owl:Class ; rdfs:subClassOf cmns-stat:Dispersion , [ a owl:Restriction ; owl:onProperty cmns-qtu:hasArgument ; owl:someValuesFrom cmns-stat:Median ; ] ; rdfs:label "median absolute deviation" ; rdfs:isDefinedBy ; skos:definition "median of the absolute deviations of observations from the average which may be the arithmetic mean, the median or the mode" ; . cmns-stat:NumericIndexValue a owl:Class ; rdfs:subClassOf cmns-qtu:ScalarQuantityValue , [ a owl:Restriction ; owl:onProperty cmns-qtu:isValueOf ; owl:onClass cmns-stat:ScopedMeasure ; owl:minQualifiedCardinality "0"^^xsd:nonNegativeInteger ; ] , [ a owl:Restriction ; owl:onProperty cmns-dt:hasObservedDateTime ; owl:minQualifiedCardinality "0"^^xsd:nonNegativeInteger ; owl:onDataRange cmns-dt:CombinedDateTime ; ] ; rdfs:label "numeric index value" ; rdfs:isDefinedBy ; skos:definition "numeric value of some aggregate relative to the value of that aggregate as of some date" ; cmns-av:adaptedFrom "https://www150.statcan.gc.ca/n1/edu/power-pouvoir/glossary-glossaire/5214842-eng.htm"^^xsd:anyURI ; cmns-av:explanatoryNote "A mathematical device or number which is used to express the observation (e.g., price level, volume of trade, relative amount etc.) of a given period, in comparison with that of a prior period." ; . cmns-stat:Percentage a owl:Class ; rdfs:subClassOf cmns-qtu:Ratio ; rdfs:label "percentage" ; rdfs:isDefinedBy ; skos:definition "ratio value expressed as a fraction of 100, i.e., in which the denominator is fixed rather than variable and equal to 100" ; cmns-av:explanatoryNote "The percent value is computed by multiplying the numeric value of the ratio by 100." , "While many percentage values are between 0 and 100, there is no mathematical restriction and percentages may take on other values (positive or negative), particularly in the case of comparisons (percent change)." ; . cmns-stat:QualifiedMeasure a owl:Class ; rdfs:subClassOf cmns-stat:StatisticalMeasure , [ a owl:Restriction ; owl:onProperty cmns-stat:hasAnchorDate ; owl:onClass cmns-dt:ExplicitDate ; owl:minQualifiedCardinality "0"^^xsd:nonNegativeInteger ; ] , [ a owl:Restriction ; owl:onProperty cmns-stat:isCalculatedViaMethodology ; owl:minQualifiedCardinality "0"^^xsd:nonNegativeInteger ; owl:onDataRange [ a rdfs:Datatype ; owl:unionOf ( xsd:string xsd:anyURI ) ; ] ; ] ; rdfs:label "qualified measure" ; rdfs:isDefinedBy ; skos:definition "statistical measure that is constrained by features, quantity kinds or units that refine how it is calculated" ; . cmns-stat:RecurrenceInterval a owl:Class ; rdfs:subClassOf cmns-dt:ProperInterval ; rdfs:label "recurrence interval" ; rdfs:isDefinedBy ; skos:definition "time interval that is consistent between elements of a regular schedule" ; cmns-av:synonym "frequency" ; . cmns-stat:RelativeDate a owl:Class ; rdfs:subClassOf cmns-stat:CalculatedDate , [ a owl:Restriction ; owl:onProperty cmns-stat:isRelativeTo ; owl:onClass cmns-dt:Date ; owl:qualifiedCardinality "1"^^xsd:nonNegativeInteger ; ] , [ a owl:Restriction ; owl:onProperty cmns-stat:hasRelativeDuration ; owl:onDataRange xsd:string ; owl:qualifiedCardinality "1"^^xsd:nonNegativeInteger ; ] ; rdfs:label "relative date" ; rdfs:isDefinedBy ; rdfs:seeAlso ; skos:definition "calculated date that is some duration before or after another date" ; skos:example "A settlement date, defined as T+3: three days after the trade date. The 'hasRelativeDuration' property is set to '3D'." ; cmns-av:explanatoryNote "When the 'hasRelativeDuration' property is negative, the RelativeDate is before the 'isRelativeTo' Date; otherwise the RelativeDate is after the 'isRelativeTo' Date." ; . cmns-stat:Sample a owl:Class ; rdfs:subClassOf cmns-stat:StatisticalPopulation ; rdfs:label "sample" ; rdfs:isDefinedBy ; skos:definition "subset of a population, usually selected randomly and considered representative of the population" ; skos:example "For example, the Current Population Survey (CPS) monthly sample size is approximately 60,000 households." ; cmns-av:adaptedFrom "https://www.bls.gov/bls/glossary.htm"^^xsd:anyURI ; . cmns-stat:SamplingVariance a owl:Class ; rdfs:subClassOf cmns-stat:Variance ; rdfs:label "sampling variance" ; rdfs:isDefinedBy ; skos:definition "measure of the extent to which the estimate of a characteristic from different possible samples of the same size and the same design differ from one another" ; cmns-av:adaptedFrom "https://www150.statcan.gc.ca/n1/edu/power-pouvoir/glossary-glossaire/5214842-eng.htm"^^xsd:anyURI ; cmns-av:explanatoryNote "Sampling variation is defined as the average of the squared differences between an estimate and the average of the estimates across all possible samples." , "The word 'sampling' can usually be omitted, as being defined by the context or otherwise understood. The sampling variance of a statistic is the square of its standard error." ; . cmns-stat:ScopedMeasure a owl:Class ; rdfs:subClassOf cmns-stat:QualifiedMeasure , [ a owl:Restriction ; owl:onProperty cmns-stat:hasPeriodicity ; owl:allValuesFrom cmns-stat:RecurrenceInterval ; ] , [ a owl:Restriction ; owl:onProperty cmns-cxtdsg:appliesTo ; owl:onClass cmns-stat:FinitePopulation ; owl:minQualifiedCardinality "0"^^xsd:nonNegativeInteger ; ] , [ a owl:Restriction ; owl:onProperty cmns-loc:hasCoverageArea ; owl:onClass cmns-stat:StatisticalArea ; owl:minQualifiedCardinality "0"^^xsd:nonNegativeInteger ; ] ; rdfs:label "scoped measure" ; rdfs:isDefinedBy ; skos:definition "qualified measure that is constrained by filters on the statistical population to which it applies" ; cmns-av:explanatoryNote "Note that (1) the anchor date reflects the start of the current series, such as 1982-1984 for the CPI, (2) the fixed comparative date might be something like March 2009, if one is comparing a current index against its value at the end of the great recession, (3) the relative comparative date might be something like a month or year ago, depending on the analysis requirements, and (4) the relative comparative period might be a 3 month average prior value, again depending on the analysis requirements." ; . cmns-stat:StandardDeviation a owl:Class ; rdfs:subClassOf cmns-stat:Dispersion , [ a owl:Restriction ; owl:onProperty cmns-qtu:hasArgument ; owl:someValuesFrom [ a owl:Class ; owl:unionOf ( cmns-stat:Mean cmns-stat:Variance ) ; ] ; ] ; rdfs:label "standard deviation" ; rdfs:isDefinedBy ; skos:definition "square root of variance that measures the spread or dispersion around the mean of a data set" ; cmns-av:abbreviation "SD" ; cmns-av:adaptedFrom "https://www150.statcan.gc.ca/n1/edu/power-pouvoir/glossary-glossaire/5214842-eng.htm"^^xsd:anyURI ; cmns-av:explanatoryNote "The most widely used measure of dispersion of a frequency distribution introduced by K. Pearson (1893). It is equal to the positive square root of the variance. The standard deviation should not be confused with the root mean square deviation." , "While standard deviation is the most widely-used measure of spread, using squared deviations, it may not be the most robust." ; cmns-av:symbol "σ" ; . cmns-stat:StatisticalArea a owl:Class ; rdfs:subClassOf cmns-loc:GeographicRegion , [ a owl:Restriction ; owl:onProperty cmns-id:isIdentifiedBy ; owl:someValuesFrom cmns-stat:StatisticalAreaIdentifier ; ] ; rdfs:label "statistical area" ; rdfs:isDefinedBy ; skos:definition "physical location that is defined per some program for designating geographic regions for the purposes of tabulating and presenting statistical data" ; cmns-av:adaptedFrom "U.S. Bureau of Labor Statistics and Statistics Canada reference definitions - https://wiki.edmcouncil.org/display/IND/Statistics+Canada+Census+Information" , "U.S. Bureau of Labor Statistics and Statistics Canada reference definitions - https://wiki.edmcouncil.org/pages/viewpage.action?pageId=6358041" ; . cmns-stat:StatisticalAreaIdentifier a owl:Class ; rdfs:subClassOf cmns-loc:GeographicRegionIdentifier , [ a owl:Restriction ; owl:onProperty cmns-id:identifies ; owl:onClass cmns-stat:StatisticalArea ; owl:qualifiedCardinality "1"^^xsd:nonNegativeInteger ; ] ; rdfs:label "statistical area identifier" ; rdfs:isDefinedBy ; skos:definition "identifier for a physical location that is defined per a nationally consistent program for designating geographic regions for the purposes of tabulating and presenting statistical data" ; cmns-av:adaptedFrom "U.S. Bureau of Labor Statistics and Statistics Canada reference definitions - https://wiki.edmcouncil.org/display/IND/Statistics+Canada+Census+Information" , "U.S. Bureau of Labor Statistics and Statistics Canada reference definitions - https://wiki.edmcouncil.org/pages/viewpage.action?pageId=6358041" ; . cmns-stat:StatisticalMeasure a owl:Class ; rdfs:subClassOf cmns-qtu:Measure , [ a owl:Restriction ; owl:onProperty cmns-cls:isCharacterizedBy ; owl:onClass cmns-cls:Aspect ; owl:minQualifiedCardinality "0"^^xsd:nonNegativeInteger ; ] , [ a owl:Restriction ; owl:onProperty cmns-stat:isEstimate ; owl:onDataRange xsd:boolean ; owl:qualifiedCardinality "1"^^xsd:nonNegativeInteger ; ] ; rdfs:label "statistical measure" ; rdfs:isDefinedBy ; skos:definition "summary (means, mode, total, index, etc.) of the individual quantitative variable values for the statistical units in a specific group (study domain)" ; cmns-av:explanatoryNote "Statistical measures may consist of several orthogonal characteristics, including (a) whether they reflect an estimate or variable, (b) the datatype, or from a FIBO perspective, nature of the measure (e.g., index, total, ratio, percent, percent change, mean, others), (c) the population (or the universe that applies to the highest level if defined in general) to which the measure applies, and (d) any relevant aspects used to subset or stratify a measure, (i.e., make them apply to a smaller universe)." ; . cmns-stat:StatisticalPopulation a owl:Class ; rdfs:subClassOf cmns-stat:FinitePopulation , cmns-stat:StatisticalUniverse , [ a owl:Restriction ; owl:onProperty cmns-stat:hasPopulationSize ; owl:allValuesFrom xsd:nonNegativeInteger ; ] , [ a owl:Restriction ; owl:onProperty cmns-cls:isCharacterizedBy ; owl:onClass cmns-dt:ExplicitDatePeriod ; owl:minQualifiedCardinality "0"^^xsd:nonNegativeInteger ; ] , [ a owl:Restriction ; owl:onProperty cmns-cls:isCharacterizedBy ; owl:onClass cmns-stat:StatisticalArea ; owl:minQualifiedCardinality "0"^^xsd:nonNegativeInteger ; ] ; rdfs:label "statistical population" ; rdfs:isDefinedBy ; skos:definition "statistical universe filtered by time and region" ; cmns-av:adaptedFrom "https://www.bls.gov/bls/glossary.htm"^^xsd:anyURI ; cmns-av:explanatoryNote "A common aim of statistical analysis is to produce information about some chosen population. In statistical inference, a subset of the population (a statistical sample) is chosen to represent the population in a statistical analysis. If a sample is chosen properly, characteristics of the entire population that the sample is drawn from can be estimated from corresponding characteristics of the sample." ; . cmns-stat:StatisticalProgram a owl:Class ; rdfs:subClassOf cmns-cxtdsg:Context , [ a owl:Restriction ; owl:onProperty cmns-cxtdsg:appliesTo ; owl:someValuesFrom cmns-stat:StatisticalUniverse ; ] , [ a owl:Restriction ; owl:onProperty cmns-loc:hasCoverageArea ; owl:someValuesFrom cmns-stat:StatisticalArea ; ] , [ a owl:Restriction ; owl:onProperty cmns-org:provides ; owl:someValuesFrom cmns-stat:StatisticalMeasure ; ] ; rdfs:label "statistical program" ; rdfs:isDefinedBy ; skos:definition "program that presents a detailed investigation and analysis of a subject or situation involving one or more studies or surveys" ; . cmns-stat:StatisticalUniverse a owl:Class ; rdfs:subClassOf cmns-col:Collection , [ a owl:Restriction ; owl:onProperty cmns-stat:hasUniverseSize ; owl:allValuesFrom xsd:nonNegativeInteger ; ] , [ a owl:Restriction ; owl:onProperty cmns-cxtdsg:isApplicableIn ; owl:someValuesFrom cmns-stat:StatisticalProgram ; ] ; rdfs:label "statistical universe" ; rdfs:isDefinedBy ; skos:definition "collection representing the total membership, or 'universe', of people, resources, products, services, events, or entities of interest for some question, experiment, survey or statistical program" ; skos:example "A statistical universe can be a group of actually existing objects (e.g. the set of all stars within the Milky Way galaxy) or a hypothetical and potentially infinite group of objects conceived as a generalization from experience (e.g. the set of all possible hands in a game of poker)." ; cmns-av:adaptedFrom "https://www.bls.gov/bls/glossary.htm"^^xsd:anyURI ; . cmns-stat:Variance a owl:Class ; rdfs:subClassOf cmns-stat:Dispersion , [ a owl:Restriction ; owl:onProperty cmns-qtu:hasArgument ; owl:someValuesFrom cmns-stat:Mean ; ] ; rdfs:label "variance" ; rdfs:isDefinedBy ; skos:definition "measure of spread, calculated as the average squared deviation of each number from the mean of a data set" ; cmns-av:adaptedFrom "https://www150.statcan.gc.ca/n1/edu/power-pouvoir/glossary-glossaire/5214842-eng.htm"^^xsd:anyURI ; cmns-av:symbol "μ2" , "σ2" ; cmns-av:synonym "second moment" ; . cmns-stat:WeightingFunction a owl:Class ; rdfs:subClassOf cmns-qtu:Expression , cmns-stat:StatisticalMeasure ; rdfs:label "weighting function" ; rdfs:isDefinedBy ; skos:definition "expression or function that determines the relative importance or influence of a given element of a set with respect to the whole" ; skos:example "Given a sample size of 1000, and a population of 300M, then the chance that any individual is selected is 1 in 300K. In that case, 300K is the weight assigned to each of the elements in the sample." ; cmns-av:explanatoryNote "For certain indices, one of the most common weighting factor is by market capitalization. In that case, each of the elements in the basket is multiplied by its market cap to determine its relative importance to the basket overall." , "With respect to discrete calculations, weighting functions are positive functions defined on discrete sets, such as weighted sums and weighted averages." ; . cmns-stat:hasAnchorDate a owl:ObjectProperty ; rdfs:subPropertyOf cmns-dt:hasExplicitDate ; rdfs:label "has anchor date" ; rdfs:isDefinedBy ; rdfs:range cmns-dt:ExplicitDate ; skos:definition "specifies the base date against which the value of a numeric index for a more recent date is compared (i.e., the starting point from which it stems)" ; . cmns-stat:hasCollectionSize a owl:DatatypeProperty ; rdfs:subPropertyOf cmns-stat:hasCount ; rdfs:label "has collection size" ; rdfs:isDefinedBy ; rdfs:range xsd:nonNegativeInteger ; skos:definition "indicates the number of elements in a given collection" ; . cmns-stat:hasCount a owl:DatatypeProperty ; rdfs:label "has count" ; rdfs:isDefinedBy ; rdfs:range xsd:nonNegativeInteger ; skos:definition "specifies the total number of things in a collection, which could be zero" ; . cmns-stat:hasFixedComparativeDate a owl:ObjectProperty ; rdfs:subPropertyOf cmns-dt:hasExplicitDate ; rdfs:label "has fixed comparative date" ; rdfs:isDefinedBy ; rdfs:range cmns-dt:ExplicitDate ; skos:definition "specifies the a specific date, such as the end of the last recession (e.g., March 2009) against which the scoped measure is compared" ; . cmns-stat:hasMeasurementPeriodInMonths a owl:DatatypeProperty ; rdfs:subPropertyOf cmns-stat:hasCount ; rdfs:label "has measurement period in months" ; rdfs:isDefinedBy ; rdfs:range xsd:integer ; skos:definition "indicates the coverage period for which the measure is applicable expressed in months" ; . cmns-stat:hasMinuend a owl:ObjectProperty ; rdfs:subPropertyOf cmns-qtu:hasArgument ; rdfs:label "has minuend" ; rdfs:domain cmns-stat:Difference ; rdfs:isDefinedBy ; skos:definition "specifies the quantity value from which something is subtracted; the value that is diminished" ; . cmns-stat:hasNumberOfEntries a owl:DatatypeProperty ; rdfs:subPropertyOf cmns-stat:hasCount ; rdfs:label "has number of entries" ; rdfs:isDefinedBy ; rdfs:range xsd:nonNegativeInteger ; skos:definition "indicates the number of elements in some document, table, or other resource (e.g., in a report, table)" ; . cmns-stat:hasObservedValue a owl:ObjectProperty ; rdfs:subPropertyOf cmns-qtu:hasArgument ; rdfs:label "has observed value" ; rdfs:isDefinedBy ; rdfs:range cmns-col:StructuredCollection ; skos:definition "specifies a collection of values over which some analysis is performed" ; cmns-av:explanatoryNote "For certain calculations, such as certain measures of dispersion, date value pairs are expected as input, in other words, a dated structured collection." ; . cmns-stat:hasPeriodicity a owl:ObjectProperty ; rdfs:subPropertyOf cmns-stat:hasRecurrenceInterval ; rdfs:label "has periodicity" ; rdfs:isDefinedBy ; rdfs:range cmns-stat:RecurrenceInterval ; skos:definition "specifies a recurrence interval (monthly, quarterly, annual) that a statistical measure reflects" ; . cmns-stat:hasPopulationSize a owl:DatatypeProperty ; rdfs:subPropertyOf cmns-stat:hasCollectionSize ; rdfs:label "has population size" ; rdfs:isDefinedBy ; rdfs:range xsd:nonNegativeInteger ; skos:definition "indicates the number of elements in a given population" ; . cmns-stat:hasRecurrenceInterval a owl:ObjectProperty ; rdfs:label "has recurrence interval" ; rdfs:isDefinedBy ; rdfs:range cmns-stat:RecurrenceInterval ; skos:definition "indicates the frequency with which some calculation, event or publication occurs" ; . cmns-stat:hasReferencePeriod a owl:ObjectProperty ; rdfs:subPropertyOf cmns-stat:hasRecurrenceInterval ; rdfs:label "has reference period" ; rdfs:isDefinedBy ; rdfs:range cmns-stat:RecurrenceInterval ; skos:definition "specifies a reference (baseline) recurrence interval for which a given measure applies" ; . cmns-stat:hasRelativeComparativeDate a owl:ObjectProperty ; rdfs:subPropertyOf cmns-dt:hasDate ; rdfs:label "has relative comparative date" ; rdfs:isDefinedBy ; rdfs:range cmns-stat:RelativeDate ; skos:definition "specifies a date against which the value of a scoped measure is compared (e.g., one month prior, three months prior, etc., and typically against a prior release or average over prior releases)" ; . cmns-stat:hasRelativeComparativePeriod a owl:ObjectProperty ; rdfs:subPropertyOf cmns-dt:hasDatePeriod ; rdfs:label "has relative comparative period" ; rdfs:isDefinedBy ; rdfs:range cmns-dt:DatePeriod ; skos:definition "specifies a period (typically a prior period) against which the scoped measure is compared, such as an average set of values for some period of time compared with a more recent or projected average for a forward looking period of time" ; . cmns-stat:hasRelativeDuration a owl:DatatypeProperty ; rdfs:subPropertyOf cmns-txt:hasTextValue ; rdfs:label "has relative duration" ; rdfs:isDefinedBy ; rdfs:range xsd:string ; skos:definition "duration between two explicit dates" ; cmns-av:explanatoryNote "A relative duration may be negative." , "Note that this property is distinct from hasDurationValue in the Dates and Times ontology, as a relative duration may resolve to a relative date or date time (both of which are time points) rather than an interval, which would result in a logical inconsistency if its parent property is hasDurationValue." ; . cmns-stat:hasReleaseDate a owl:ObjectProperty ; rdfs:subPropertyOf cmns-dt:hasDate ; rdfs:label "has release date" ; rdfs:isDefinedBy ; rdfs:range cmns-dt:Date ; skos:definition "specifies the date on which something is published" ; cmns-av:explanatoryNote "A release date is typically a date fixed in advance for the release of a film, recording, document, report, or product or publication." ; . cmns-stat:hasReleaseDateTime a owl:DatatypeProperty ; rdfs:subPropertyOf cmns-dt:hasObservedDateTime ; rdfs:label "has release date and time" ; rdfs:isDefinedBy ; rdfs:range cmns-dt:CombinedDateTime ; skos:definition "specifies the date and time on which something is published" ; . cmns-stat:hasSubtrahend a owl:ObjectProperty ; rdfs:subPropertyOf cmns-qtu:hasArgument ; rdfs:label "has subtrahend" ; rdfs:domain cmns-stat:Difference ; rdfs:isDefinedBy ; skos:definition "specifies the quantity value that is subtracted from something" ; . cmns-stat:hasUniverseSize a owl:DatatypeProperty ; rdfs:subPropertyOf cmns-stat:hasCollectionSize ; rdfs:label "has universe size" ; rdfs:isDefinedBy ; rdfs:range xsd:nonNegativeInteger ; skos:definition "indicates the number of elements in a given universe" ; . cmns-stat:hasWeight a owl:DatatypeProperty ; rdfs:subPropertyOf cmns-qtu:hasNumericValue ; rdfs:label "has weight" ; rdfs:isDefinedBy ; rdfs:range xsd:decimal ; skos:definition "indicates an amount given to increase or decrease the importance of an item" ; . cmns-stat:isCalculatedViaMethodology a owl:DatatypeProperty ; rdfs:subPropertyOf cmns-dsg:hasDescription ; rdfs:label "is calculated via methodology" ; rdfs:domain cmns-stat:StatisticalMeasure ; rdfs:isDefinedBy ; skos:definition "high-level description of the approach taken to obtain the result" ; . cmns-stat:isEstimate a owl:DatatypeProperty ; rdfs:label "is estimate" ; rdfs:domain cmns-stat:StatisticalMeasure ; rdfs:isDefinedBy ; rdfs:range xsd:boolean ; skos:definition "indicates whether the measure reflects an estimate (approximation) or not" ; . cmns-stat:isRelativeTo a owl:ObjectProperty ; rdfs:subPropertyOf cmns-dt:hasDate ; rdfs:label "is relative to" ; rdfs:isDefinedBy ; rdfs:range cmns-dt:Date ; skos:definition "identifies a specific date that a relative date or relative date period references" ; .