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The Mathematics of Scientific Research: Scientometrics, Citation Wayne State University Library Scholarly Publications Wayne State University Libraries 1-1-2016 The aM thematics of Scientific Research: Scientometrics, Citation Metrics, and Impact Factors Clayton Hayes Wayne State University, [email protected] Recommended Citation Hayes, Clayton, "The aM thematics of Scientific Research: Scientometrics, Citation Metrics, and Impact Factors" (2016). Library Scholarly Publications. Paper 109. http://digitalcommons.wayne.edu/libsp/109 This Presentation is brought to you for free and open access by the Wayne State University Libraries at DigitalCommons@WayneState. It has been accepted for inclusion in Library Scholarly Publications by an authorized administrator of DigitalCommons@WayneState. The Mathematics of Scientific Research Scientometrics, Citation Metrics, and Impact Factors C. Hayes April 1, 2016 CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 1 / 29 What We Will Cover In this talk, I will cover: 1. The definition of and foundation for Scientometrics 2. Price and his observations on citation networks 3. Garfield and his development of journal impact factors 3.1 Bergstrom & West and the Eigenfactor 4. Hirsch and the development of the h-index 4.1 Further developments in author metrics CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 2 / 29 cites cites ADVANCES IN ON LINEAR QUANTIZED TRANSFORMATIONS FUNCTIONAL Phillips ANALYSIS 1940 Effros 1986 cited by cited by A Brief Note on Citations BIMEASURE ALGEBRAS ON LCA GROUPS Graham & Schreiber 1984 CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 3 / 29 cites cites cited by cited by A Brief Note on Citations BIMEASURE ADVANCES IN ON LINEAR ALGEBRAS QUANTIZED TRANSFORMATIONS ON LCA GROUPS FUNCTIONAL Phillips Graham & ANALYSIS 1940 Schreiber Effros 1984 1986 CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 3 / 29 A Brief Note on Citations cites cites BIMEASURE ADVANCES IN ON LINEAR ALGEBRAS QUANTIZED TRANSFORMATIONS ON LCA GROUPS FUNCTIONAL Phillips Graham & ANALYSIS 1940 Schreiber Effros 1984 1986 cited by cited by CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 3 / 29 cites cites cited by cited by A Brief Note on Citations BIMEASURE ADVANCES IN ON LINEAR ALGEBRAS QUANTIZED TRANSFORMATIONS ON LCA GROUPS FUNCTIONAL Phillips Graham & ANALYSIS 1940 Schreiber Effros 1984 1986 CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 3 / 29 J01 J11 J12 J13 J14 J15 J21 J22 J23 J24 J25 J26 J27 J28 Scientometrics Scientometrics is best described as the quantitative study of scientific communication. Its foundations were laid out in a paper published by S. C. Bradford in 1934 [1]. CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 4 / 29 J11 J12 J13 J14 J15 J21 J22 J23 J24 J25 J26 J27 J28 Scientometrics Scientometrics is best described as the quantitative study of scientific communication. Its foundations were laid out in a paper published by S. C. Bradford in 1934 [1]. J01 CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 4 / 29 J21 J22 J23 J24 J25 J26 J27 J28 Scientometrics Scientometrics is best described as the quantitative study of scientific communication. Its foundations were laid out in a paper published by S. C. Bradford in 1934 [1]. J01 J11 J12 J13 J14 J15 CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 4 / 29 Scientometrics Scientometrics is best described as the quantitative study of scientific communication. Its foundations were laid out in a paper published by S. C. Bradford in 1934 [1]. J01 J11 J12 J13 J14 J15 J21 J22 J23 J24 J25 J26 J27 J28 CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 4 / 29 I Computers were more accessible and could handle much of the necessary work I The onset of \Big Science" made the meta-analysis of scientific research more relevant I The founding of the Institute for Scientific Information in 1960 and of the Science Citation Index in 1964 This situation laid the groundwork for Price and Garfield, the two most influential figures in the development of Scientometrics. The Foundations of Scientometrics Scientometrics had its true germination in the Cold War era, in the 1960s and 1970s. There are a three main reasons for this: CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 5 / 29 I The onset of \Big Science" made the meta-analysis of scientific research more relevant I The founding of the Institute for Scientific Information in 1960 and of the Science Citation Index in 1964 This situation laid the groundwork for Price and Garfield, the two most influential figures in the development of Scientometrics. The Foundations of Scientometrics Scientometrics had its true germination in the Cold War era, in the 1960s and 1970s. There are a three main reasons for this: I Computers were more accessible and could handle much of the necessary work CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 5 / 29 I The founding of the Institute for Scientific Information in 1960 and of the Science Citation Index in 1964 This situation laid the groundwork for Price and Garfield, the two most influential figures in the development of Scientometrics. The Foundations of Scientometrics Scientometrics had its true germination in the Cold War era, in the 1960s and 1970s. There are a three main reasons for this: I Computers were more accessible and could handle much of the necessary work I The onset of \Big Science" made the meta-analysis of scientific research more relevant CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 5 / 29 This situation laid the groundwork for Price and Garfield, the two most influential figures in the development of Scientometrics. The Foundations of Scientometrics Scientometrics had its true germination in the Cold War era, in the 1960s and 1970s. There are a three main reasons for this: I Computers were more accessible and could handle much of the necessary work I The onset of \Big Science" made the meta-analysis of scientific research more relevant I The founding of the Institute for Scientific Information in 1960 and of the Science Citation Index in 1964 CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 5 / 29 The Foundations of Scientometrics Scientometrics had its true germination in the Cold War era, in the 1960s and 1970s. There are a three main reasons for this: I Computers were more accessible and could handle much of the necessary work I The onset of \Big Science" made the meta-analysis of scientific research more relevant I The founding of the Institute for Scientific Information in 1960 and of the Science Citation Index in 1964 This situation laid the groundwork for Price and Garfield, the two most influential figures in the development of Scientometrics. CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 5 / 29 1850v8 1850v7 1850v6 1850v5 1785v4 1850v4 1785v3 1850v3 1720v2 1785v2 1850v2 1655v1 1720v1 1785v1 1850v1 Philosophical Transactions of the Royal Society Derek de Solla Price Derek de Solla Price was a physicist and mathematician who developed an interest in the history of science in his late 20s. He developed a theory that the study of science was growing exponentially... CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 6 / 29 Derek de Solla Price Derek de Solla Price was a physicist and mathematician who developed an interest in the history of science in his late 20s. He developed a theory that the study of science was growing exponentially... 1850v8 1850v7 1850v6 1850v5 1785v4 1850v4 1785v3 1850v3 1720v2 1785v2 1850v2 1655v1 1720v1 1785v1 1850v1 Philosophical Transactions of the Royal Society CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 6 / 29 A12 A31 A22 A11 A A21 A13 A23 A32 Citation Networks Based on his background in math and physics, and because of the availability of the Science Citation Index, he introduced the idea of a Citation Network in 1965 [2]. CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 7 / 29 A12 A31 A22 A11 A21 A13 A23 A32 Citation Networks Based on his background in math and physics, and because of the availability of the Science Citation Index, he introduced the idea of a Citation Network in 1965 [2]. A CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 7 / 29 A12 A31 A22 A13 A23 A32 Citation Networks Based on his background in math and physics, and because of the availability of the Science Citation Index, he introduced the idea of a Citation Network in 1965 [2]. A11 A A21 CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 7 / 29 A31 A32 Citation Networks Based on his background in math and physics, and because of the availability of the Science Citation Index, he introduced the idea of a Citation Network in 1965 [2]. A12 A22 A11 A A21 A13 A23 CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 7 / 29 A32 Citation Networks Based on his background in math and physics, and because of the availability of the Science Citation Index, he introduced the idea of a Citation Network in 1965 [2]. A12 A31 A22 A11 A A21 A13 A23 CC-BY 4.0 C. Hayes The Mathematics of Scientific Research April 1, 2016 7 / 29 A32 Citation Networks Based on his background in math and physics, and because of the availability of the Science Citation Index, he introduced the idea of a Citation Network in 1965 [2].
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