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KB Term:  Term intersection
English Word: 

Sigma KEE - statisticalPopulation
statisticalPopulation

appearance as argument number 1
-------------------------


(instance statisticalPopulation TernaryPredicate) UXExperimentalTerms.kif 473-473 statistical population is an instance of ternary predicate
(domain statisticalPopulation 1 Collection) UXExperimentalTerms.kif 474-474 The number 1 argument of statistical population is an instance of collection
(domain statisticalPopulation 2 Collection) UXExperimentalTerms.kif 475-475 The number 2 argument of statistical population is an instance of collection
(domain statisticalPopulation 3 Experimenting) UXExperimentalTerms.kif 476-476 The number 3 argument of statistical population is an instance of experimenting
(documentation statisticalPopulation EnglishLanguage "A statistical population is a set of entities concerning which statistical inferences are to be drawn. (statisticalPopulation ?SAMPLE_COLL ?POP_COLL ?EXPERIMENT) means that the Collection ?SAMPLE_COLL is meant to be a representitive sample of the population Collection ?POP_COLL in the intance of Experimenting ?EXPERIMENT.") UXExperimentalTerms.kif 478-481 The number 3 argument of statistical population is an instance of experimenting

appearance as argument number 2
-------------------------


(format EnglishLanguage statisticalPopulation "%1 is a sample of %2 for %3") domainEnglishFormat.kif 4632-4632
(format ChineseTraditionalLanguage statisticalPopulation "%1 是 %2 的 sample 對於 %3 ") domainEnglishFormat.kif 4633-4633
(format ChineseLanguage statisticalPopulation "%1 是 %2 的 sample 对于 %3 ") domainEnglishFormat.kif 4634-4634
(termFormat EnglishLanguage statisticalPopulation "statistical population") domainEnglishFormat.kif 65977-65977

antecedent
-------------------------


(=>
    (and
        (instance ?SAMPLE_COLL Collection)
        (instance ?POP_COLL Collection)
        (instance ?EXPERIMENT Experimenting)
        (statisticalPopulation ?SAMPLE_COLL ?POP_COLL ?EXPERIMENT))
    (subCollection ?SAMPLE_COLL ?POP_COLL))
UXExperimentalTerms.kif 483-489 If ?SAMPLE_COLL is an instance of collection, ?POP_COLL is an instance of collection, Z is an instance of experimenting, and ?SAMPLE_COLL is a sample of ?POP_COLL for Z, then ?SAMPLE_COLL is a proper sub-collection of ?POP_COLL
(=>
    (and
        (instance ?SAMPLE_COLL Collection)
        (instance ?POP_COLL Collection)
        (instance ?EXPERIMENT Experimenting)
        (instance ?AGENT CognitiveAgent)
        (agent ?EXPERIMENT ?AGENT)
        (statisticalPopulation ?SAMPLE_COLL ?POP_COLL ?EXPERIMENT))
    (forall (?ATTRIBUTE)
        (=>
            (and
                (instance ?ATTRIBUTE Attribute)
                (property ?SAMPLE_COLL ?ATTRIBUTE)
                (inScopeOfInterest ?AGENT ?ATTRIBUTE)
                (not
                    (equal ?ATTRIBUTE RepresentativeSample)))
            (property ?POP_COLL ?ATTRIBUTE))))
UXExperimentalTerms.kif 501-517 If All of the following hold: (1) ?SAMPLE_COLL is an instance of collection (2) ?POP_COLL is an instance of collection (3) Z is an instance of experimenting (4) W is an instance of cognitive agent (5) W is an agent of Z (6) ?SAMPLE_COLL is a sample of ?POP_COLL for Z, then For all Attribute V: if ?SAMPLE_COLL the attribute V, W is interested in V, and equal V and representative sample, then ?POP_COLL the attribute V

consequent
-------------------------


(=>
    (tTest ?SAMPLE_COLL1 ?SAMPLE_COLL2 ?PROB)
    (exists (?POP1 ?POP2 ?EXPERIMENT)
        (and
            (instance ?POP1 Collection)
            (instance ?POP2 Collection)
            (statisticalPopulation ?SAMPLE_COLL1 ?POP1 ?EXPERIMENT)
            (statisticalPopulation ?SAMPLE_COLL2 ?POP2 ?EXPERIMENT)
            (equal ?PROB
                (ProbabilityFn
                    (equal ?POP1 ?POP2))))))
UXExperimentalTerms.kif 607-617 If the probability that ?SAMPLE_COLL1 and ?SAMPLE_COLL2 are part of the same statistical population is Y, then All of the following hold: (1) there exist Z, W (2) V such that Z is an instance of collection (3) W is an instance of collection (4) ?SAMPLE_COLL1 is a sample of Z for V (5) ?SAMPLE_COLL2 is a sample of W for V (6) equal Y (7) the probability of equal Z (8) W


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