I. <i>On the diagrammatic and mechanical representation of propositions and reasonings</i>

Venn, John

doi:10.1080/14786448008626877

Cited by 340 publications

(188 citation statements)

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“…This paper shows how the Venn diagram can be employed as a useful visual aid to help students understand important and fundamental concepts in multiple regression such as R 2 , partial correlation, and Type I and II sums of squares. Introduced by Venn (1880), the Venn diagram has been popularized in texts on elementary logic and set theory (e.g., Suppes 1957). However, the use of Venn diagrams in the field of statistics has been quite limited.…”

Section: Introductionmentioning

confidence: 99%

Visualizing Multiple Regression

2001

Journal of Statistics Education

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Several examples are presented to demonstrate how Venn diagramming can be used to help students visualize multiple regression concepts such as the coefficient of determination, the multiple partial correlation, and the Type I and Type II sums of squares. In addition, it is suggested that Venn diagramming can aid in the interpretation of a measure of variable importance obtained by average stepwise selection. Finally, we report findings of an experiment that compared outcomes of two instructional methods for multiple regression, one using Venn diagrams and one not.

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Section: Introductionmentioning

confidence: 99%

Visualizing Multiple Regression

2001

Journal of Statistics Education

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“…The vertex that is [5] and to the hypercube representation of logical operators by [3]. Furthermore, the hypercubes can be translated into shaded Venn diagrams [8] by assigning every vertex to a region of overlap in the Venn diagram.…”

Section: Relations As Hypercubesmentioning

confidence: 99%

Leveraging data lineage to infer logical relationships between astronomical catalogs

Buddelmeijer¹,

Valentijn²

2012

Exp Astron

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A novel method to infer logical relationships between sets is presented. These sets can be any collection of elements, for example astronomical catalogs of celestial objects. The method does not require the contents of the sets to be known explicitly. It combines incomplete knowledge about the relationships between sets to infer a priori unknown relationships. Relationships between sets are represented by sets of Boolean hypercubes. This leads to deductive reasoning by application of logical operators to these sets of hypercubes. A pseudo code for an efficient implementation is described. The method is used in the Astro-WISE information system to infer relationships between catalogs of astronomical objects. These catalogs can be very large and, more importantly, their contents do not have to be available at all times. Science products are stored in Astro-WISE with references to other science products from which they are derived, or their dependencies. This creates full data lineage that links every science product all the way back to the raw data. Catalogs are created in a way that maximizes knowledge about their relationship with their dependencies. The presented algorithm is used to determine which objects a catalog represents by leveraging this information.

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“…It is based only on the species commercialized in at least one city, excluding plant species not cited for the cities considered. A Veen's diagram (Veen 1880) based on the list of commercialized plants was draw in order to visualize the species shared among localities. These analyses enable to evaluate the difference of medicinal species commercialized among the cities.…”

Section: Characterization Of the Difference Of Medicinal Plant Speciementioning

confidence: 99%

Ethnobotany and antioxidant evaluation of commercialized medicinal plants from the Brazilian Pampa

et al. 2016

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Despite the importance of medicinal plants for the healthcare of local people, the knowledge about medicinal species used in the Pampa biome has been neglected over the years. In this study, an ethnobotanical survey was employed aiming to characterize the species richness and diversity of commercialized medicinal plant species in five cities within the Brazilian Pampa. Additionally, among the listed plants, ten species were selected for in vitro testing of their potential antioxidant activity. A total of 56 plant species belonging to 33 botanical families were listed by the 115 interviewees. No significant difference in commercialized medicinal plant species, and very similar species richness was observed among the cities, indicating that the local knowledge is consistently preserved across the studied cities. According to the biochemical analysis, Sphagneticola trilobata, Malva parviflora and Struthanthus flexicaulis emerged as very promising species for antioxidant activity. Further studies are recommended to advance our knowledge about the richness of medicinal plant species in the Brazilian Pampa, and to assess their therapeutic potential.

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I. On the diagrammatic and mechanical representation of propositions and reasonings

Cited by 340 publications

References 0 publications

Visualizing Multiple Regression

Visualizing Multiple Regression

Leveraging data lineage to infer logical relationships between astronomical catalogs

Ethnobotany and antioxidant evaluation of commercialized medicinal plants from the Brazilian Pampa

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