Document (#26609)

Author
Egghe, L.
Title
Type/Token-Taken informetrics
Source
Journal of the American Society for Information Science and technology. 54(2003) no.7, S.603-610
Year
2003
Abstract
Type/Token-Taken informetrics is a new part of informetrics that studies the use of items rather than the items itself. Here, items are the objects that are produced by the sources (e.g., journals producing articles, authors producing papers, etc.). In linguistics a source is also called a type (e.g., a word), and an item a token (e.g., the use of words in texts). In informetrics, types that occur often, for example, in a database will also be requested often, for example, in information retrieval. The relative use of these occurrences will be higher than their relative occurrences itself; hence, the name Type/ Token-Taken informetrics. This article studies the frequency distribution of Type/Token-Taken informetrics, starting from the one of Type/Token informetrics (i.e., source-item relationships). We are also studying the average number my* of item uses in Type/Token-Taken informetrics and compare this with the classical average number my in Type/Token informetrics. We show that my* >= my always, and that my* is an increasing function of my. A method is presented to actually calculate my* from my, and a given a, which is the exponent in Lotka's frequency distribution of Type/Token informetrics. We leave open the problem of developing non-Lotkaian Type/TokenTaken informetrics.
Theme
Informetrie

Similar documents (author)

  1. Egghe, L.: Little science, big science and beyond (1994) 4.74
    4.744121 = sum of:
      4.744121 = weight(author_txt:egghe in 6882) [ClassicSimilarity], result of:
        4.744121 = fieldWeight in 6882, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          7.590594 = idf(docFreq=60, maxDocs=44421)
          0.625 = fieldNorm(doc=6882)
    
  2. Egghe, L.: Expansion of the field of informetrics : the second special issue (2006) 4.74
    4.744121 = sum of:
      4.744121 = weight(author_txt:egghe in 7118) [ClassicSimilarity], result of:
        4.744121 = fieldWeight in 7118, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          7.590594 = idf(docFreq=60, maxDocs=44421)
          0.625 = fieldNorm(doc=7118)
    
  3. Egghe, L.: Expansion of the field of informetrics : origins and consequences (2005) 4.74
    4.744121 = sum of:
      4.744121 = weight(author_txt:egghe in 1978) [ClassicSimilarity], result of:
        4.744121 = fieldWeight in 1978, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          7.590594 = idf(docFreq=60, maxDocs=44421)
          0.625 = fieldNorm(doc=1978)
    
  4. Egghe, L.: ¬The amount of actions needed for shelving and reshelving (1996) 4.74
    4.744121 = sum of:
      4.744121 = weight(author_txt:egghe in 4462) [ClassicSimilarity], result of:
        4.744121 = fieldWeight in 4462, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          7.590594 = idf(docFreq=60, maxDocs=44421)
          0.625 = fieldNorm(doc=4462)
    
  5. Egghe, L.: Special features of the author - publication relationship and a new explanation of Lotka's law based on convolution theory (1994) 4.74
    4.744121 = sum of:
      4.744121 = weight(author_txt:egghe in 5136) [ClassicSimilarity], result of:
        4.744121 = fieldWeight in 5136, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          7.590594 = idf(docFreq=60, maxDocs=44421)
          0.625 = fieldNorm(doc=5136)
    

Similar documents (content)

  1. Burrell, Q.L.: "Type/Token-Taken" informetrics : Some comments and further examples (2003) 0.46
    0.45998794 = sum of:
      0.45998794 = product of:
        2.2999396 = sum of:
          0.009756016 = weight(abstract_txt:that in 3116) [ClassicSimilarity], result of:
            0.009756016 = score(doc=3116,freq=1.0), product of:
              0.02640178 = queryWeight, product of:
                1.4848036 = boost
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.0075187385 = queryNorm
              0.3695211 = fieldWeight in 3116, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.15625 = fieldNorm(doc=3116)
          0.122106194 = weight(abstract_txt:taken in 3116) [ClassicSimilarity], result of:
            0.122106194 = score(doc=3116,freq=1.0), product of:
              0.14232352 = queryWeight, product of:
                3.4473925 = boost
                5.4908676 = idf(docFreq=497, maxDocs=44421)
                0.0075187385 = queryNorm
              0.85794806 = fieldWeight in 3116, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.4908676 = idf(docFreq=497, maxDocs=44421)
                0.15625 = fieldNorm(doc=3116)
          0.1835317 = weight(abstract_txt:type in 3116) [ClassicSimilarity], result of:
            0.1835317 = score(doc=3116,freq=1.0), product of:
              0.23528937 = queryWeight, product of:
                6.268571 = boost
                4.992163 = idf(docFreq=819, maxDocs=44421)
                0.0075187385 = queryNorm
              0.7800255 = fieldWeight in 3116, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.992163 = idf(docFreq=819, maxDocs=44421)
                0.15625 = fieldNorm(doc=3116)
          0.9081908 = weight(abstract_txt:token in 3116) [ClassicSimilarity], result of:
            0.9081908 = score(doc=3116,freq=1.0), product of:
              0.6596706 = queryWeight, product of:
                9.957543 = boost
                8.811096 = idf(docFreq=17, maxDocs=44421)
                0.0075187385 = queryNorm
              1.3767338 = fieldWeight in 3116, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.811096 = idf(docFreq=17, maxDocs=44421)
                0.15625 = fieldNorm(doc=3116)
          1.076355 = weight(abstract_txt:informetrics in 3116) [ClassicSimilarity], result of:
            1.076355 = score(doc=3116,freq=2.0), product of:
              0.6269306 = queryWeight, product of:
                10.731822 = boost
                7.769642 = idf(docFreq=50, maxDocs=44421)
                0.0075187385 = queryNorm
              1.7168646 = fieldWeight in 3116, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                7.769642 = idf(docFreq=50, maxDocs=44421)
                0.15625 = fieldNorm(doc=3116)
        0.2 = coord(5/25)
    
  2. Stock, W.G.; Weber, S.: Facets of informetrics : Preface (2006) 0.21
    0.21188897 = sum of:
      0.21188897 = product of:
        0.7567463 = sum of:
          0.009650087 = weight(abstract_txt:studies in 201) [ClassicSimilarity], result of:
            0.009650087 = score(doc=201,freq=2.0), product of:
              0.034203313 = queryWeight, product of:
                1.0688493 = boost
                4.25605 = idf(docFreq=1711, maxDocs=44421)
                0.0075187385 = queryNorm
              0.28213894 = fieldWeight in 201, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                4.25605 = idf(docFreq=1711, maxDocs=44421)
                0.046875 = fieldNorm(doc=201)
          0.007347165 = weight(abstract_txt:also in 201) [ClassicSimilarity], result of:
            0.007347165 = score(doc=201,freq=2.0), product of:
              0.032645576 = queryWeight, product of:
                1.2789106 = boost
                3.3949955 = idf(docFreq=4049, maxDocs=44421)
                0.0075187385 = queryNorm
              0.22505853 = fieldWeight in 201, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                3.3949955 = idf(docFreq=4049, maxDocs=44421)
                0.046875 = fieldNorm(doc=201)
          0.011856592 = weight(abstract_txt:example in 201) [ClassicSimilarity], result of:
            0.011856592 = score(doc=201,freq=1.0), product of:
              0.049434558 = queryWeight, product of:
                1.284984 = boost
                5.1166763 = idf(docFreq=723, maxDocs=44421)
                0.0075187385 = queryNorm
              0.2398442 = fieldWeight in 201, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.1166763 = idf(docFreq=723, maxDocs=44421)
                0.046875 = fieldNorm(doc=201)
          0.015516229 = weight(abstract_txt:distribution in 201) [ClassicSimilarity], result of:
            0.015516229 = score(doc=201,freq=1.0), product of:
              0.059144564 = queryWeight, product of:
                1.405529 = boost
                5.5966744 = idf(docFreq=447, maxDocs=44421)
                0.0075187385 = queryNorm
              0.26234412 = fieldWeight in 201, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.5966744 = idf(docFreq=447, maxDocs=44421)
                0.046875 = fieldNorm(doc=201)
          0.022318818 = weight(abstract_txt:itself in 201) [ClassicSimilarity], result of:
            0.022318818 = score(doc=201,freq=2.0), product of:
              0.059817493 = queryWeight, product of:
                1.4135022 = boost
                5.628423 = idf(docFreq=433, maxDocs=44421)
                0.0075187385 = queryNorm
              0.37311524 = fieldWeight in 201, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                5.628423 = idf(docFreq=433, maxDocs=44421)
                0.046875 = fieldNorm(doc=201)
          0.005069374 = weight(abstract_txt:that in 201) [ClassicSimilarity], result of:
            0.005069374 = score(doc=201,freq=3.0), product of:
              0.02640178 = queryWeight, product of:
                1.4848036 = boost
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.0075187385 = queryNorm
              0.1920088 = fieldWeight in 201, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.046875 = fieldNorm(doc=201)
          0.684988 = weight(abstract_txt:informetrics in 201) [ClassicSimilarity], result of:
            0.684988 = score(doc=201,freq=9.0), product of:
              0.6269306 = queryWeight, product of:
                10.731822 = boost
                7.769642 = idf(docFreq=50, maxDocs=44421)
                0.0075187385 = queryNorm
              1.0926058 = fieldWeight in 201, product of:
                3.0 = tf(freq=9.0), with freq of:
                  9.0 = termFreq=9.0
                7.769642 = idf(docFreq=50, maxDocs=44421)
                0.046875 = fieldNorm(doc=201)
        0.28 = coord(7/25)
    
  3. Egghe, L.: Relations between the continuous and the discrete Lotka power function (2005) 0.18
    0.18132772 = sum of:
      0.18132772 = product of:
        0.75553215 = sum of:
          0.014757023 = weight(abstract_txt:number in 4464) [ClassicSimilarity], result of:
            0.014757023 = score(doc=4464,freq=2.0), product of:
              0.0322959 = queryWeight, product of:
                1.0386186 = boost
                4.1356745 = idf(docFreq=1930, maxDocs=44421)
                0.0075187385 = queryNorm
              0.45693177 = fieldWeight in 4464, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                4.1356745 = idf(docFreq=1930, maxDocs=44421)
                0.078125 = fieldNorm(doc=4464)
          0.059396937 = weight(abstract_txt:lotkaian in 4464) [ClassicSimilarity], result of:
            0.059396937 = score(doc=4464,freq=1.0), product of:
              0.08171923 = queryWeight, product of:
                1.1682332 = boost
                9.303573 = idf(docFreq=10, maxDocs=44421)
                0.0075187385 = queryNorm
              0.7268416 = fieldWeight in 4464, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                9.303573 = idf(docFreq=10, maxDocs=44421)
                0.078125 = fieldNorm(doc=4464)
          0.006898545 = weight(abstract_txt:that in 4464) [ClassicSimilarity], result of:
            0.006898545 = score(doc=4464,freq=2.0), product of:
              0.02640178 = queryWeight, product of:
                1.4848036 = boost
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.0075187385 = queryNorm
              0.2612909 = fieldWeight in 4464, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.078125 = fieldNorm(doc=4464)
          0.054339312 = weight(abstract_txt:items in 4464) [ClassicSimilarity], result of:
            0.054339312 = score(doc=4464,freq=2.0), product of:
              0.08815658 = queryWeight, product of:
                2.1016257 = boost
                5.5789747 = idf(docFreq=455, maxDocs=44421)
                0.0075187385 = queryNorm
              0.6163954 = fieldWeight in 4464, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                5.5789747 = idf(docFreq=455, maxDocs=44421)
                0.078125 = fieldNorm(doc=4464)
          0.081962824 = weight(abstract_txt:item in 4464) [ClassicSimilarity], result of:
            0.081962824 = score(doc=4464,freq=2.0), product of:
              0.11594622 = queryWeight, product of:
                2.410218 = boost
                6.398163 = idf(docFreq=200, maxDocs=44421)
                0.0075187385 = queryNorm
              0.7069038 = fieldWeight in 4464, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                6.398163 = idf(docFreq=200, maxDocs=44421)
                0.078125 = fieldNorm(doc=4464)
          0.5381775 = weight(abstract_txt:informetrics in 4464) [ClassicSimilarity], result of:
            0.5381775 = score(doc=4464,freq=2.0), product of:
              0.6269306 = queryWeight, product of:
                10.731822 = boost
                7.769642 = idf(docFreq=50, maxDocs=44421)
                0.0075187385 = queryNorm
              0.8584323 = fieldWeight in 4464, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                7.769642 = idf(docFreq=50, maxDocs=44421)
                0.078125 = fieldNorm(doc=4464)
        0.24 = coord(6/25)
    
  4. Burrell, Q.L.: Extending Lotkaian informetrics (2008) 0.17
    0.17130263 = sum of:
      0.17130263 = product of:
        0.713761 = sum of:
          0.010434791 = weight(abstract_txt:number in 3126) [ClassicSimilarity], result of:
            0.010434791 = score(doc=3126,freq=1.0), product of:
              0.0322959 = queryWeight, product of:
                1.0386186 = boost
                4.1356745 = idf(docFreq=1930, maxDocs=44421)
                0.0075187385 = queryNorm
              0.32309955 = fieldWeight in 3126, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.1356745 = idf(docFreq=1930, maxDocs=44421)
                0.078125 = fieldNorm(doc=3126)
          0.008658717 = weight(abstract_txt:also in 3126) [ClassicSimilarity], result of:
            0.008658717 = score(doc=3126,freq=1.0), product of:
              0.032645576 = queryWeight, product of:
                1.2789106 = boost
                3.3949955 = idf(docFreq=4049, maxDocs=44421)
                0.0075187385 = queryNorm
              0.26523402 = fieldWeight in 3126, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                3.3949955 = idf(docFreq=4049, maxDocs=44421)
                0.078125 = fieldNorm(doc=3126)
          0.05782557 = weight(abstract_txt:distribution in 3126) [ClassicSimilarity], result of:
            0.05782557 = score(doc=3126,freq=5.0), product of:
              0.059144564 = queryWeight, product of:
                1.405529 = boost
                5.5966744 = idf(docFreq=447, maxDocs=44421)
                0.0075187385 = queryNorm
              0.9776988 = fieldWeight in 3126, product of:
                2.236068 = tf(freq=5.0), with freq of:
                  5.0 = termFreq=5.0
                5.5966744 = idf(docFreq=447, maxDocs=44421)
                0.078125 = fieldNorm(doc=3126)
          0.006898545 = weight(abstract_txt:that in 3126) [ClassicSimilarity], result of:
            0.006898545 = score(doc=3126,freq=2.0), product of:
              0.02640178 = queryWeight, product of:
                1.4848036 = boost
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.0075187385 = queryNorm
              0.2612909 = fieldWeight in 3126, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.078125 = fieldNorm(doc=3126)
          0.09176585 = weight(abstract_txt:type in 3126) [ClassicSimilarity], result of:
            0.09176585 = score(doc=3126,freq=1.0), product of:
              0.23528937 = queryWeight, product of:
                6.268571 = boost
                4.992163 = idf(docFreq=819, maxDocs=44421)
                0.0075187385 = queryNorm
              0.39001274 = fieldWeight in 3126, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.992163 = idf(docFreq=819, maxDocs=44421)
                0.078125 = fieldNorm(doc=3126)
          0.5381775 = weight(abstract_txt:informetrics in 3126) [ClassicSimilarity], result of:
            0.5381775 = score(doc=3126,freq=2.0), product of:
              0.6269306 = queryWeight, product of:
                10.731822 = boost
                7.769642 = idf(docFreq=50, maxDocs=44421)
                0.0075187385 = queryNorm
              0.8584323 = fieldWeight in 3126, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                7.769642 = idf(docFreq=50, maxDocs=44421)
                0.078125 = fieldNorm(doc=3126)
        0.24 = coord(6/25)
    
  5. Egghe, L.: Untangling Herdan's law and Heaps' law : mathematical and informetric arguments (2007) 0.13
    0.13294211 = sum of:
      0.13294211 = product of:
        0.47479326 = sum of:
          0.011805619 = weight(abstract_txt:number in 1271) [ClassicSimilarity], result of:
            0.011805619 = score(doc=1271,freq=2.0), product of:
              0.0322959 = queryWeight, product of:
                1.0386186 = boost
                4.1356745 = idf(docFreq=1930, maxDocs=44421)
                0.0075187385 = queryNorm
              0.36554542 = fieldWeight in 1271, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                4.1356745 = idf(docFreq=1930, maxDocs=44421)
                0.0625 = fieldNorm(doc=1271)
          0.03766852 = weight(abstract_txt:lotka's in 1271) [ClassicSimilarity], result of:
            0.03766852 = score(doc=1271,freq=1.0), product of:
              0.06999612 = queryWeight, product of:
                1.0811958 = boost
                8.610425 = idf(docFreq=21, maxDocs=44421)
                0.0075187385 = queryNorm
              0.53815156 = fieldWeight in 1271, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.610425 = idf(docFreq=21, maxDocs=44421)
                0.0625 = fieldNorm(doc=1271)
          0.04751755 = weight(abstract_txt:lotkaian in 1271) [ClassicSimilarity], result of:
            0.04751755 = score(doc=1271,freq=1.0), product of:
              0.08171923 = queryWeight, product of:
                1.1682332 = boost
                9.303573 = idf(docFreq=10, maxDocs=44421)
                0.0075187385 = queryNorm
              0.5814733 = fieldWeight in 1271, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                9.303573 = idf(docFreq=10, maxDocs=44421)
                0.0625 = fieldNorm(doc=1271)
          0.00979622 = weight(abstract_txt:also in 1271) [ClassicSimilarity], result of:
            0.00979622 = score(doc=1271,freq=2.0), product of:
              0.032645576 = queryWeight, product of:
                1.2789106 = boost
                3.3949955 = idf(docFreq=4049, maxDocs=44421)
                0.0075187385 = queryNorm
              0.30007803 = fieldWeight in 1271, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                3.3949955 = idf(docFreq=4049, maxDocs=44421)
                0.0625 = fieldNorm(doc=1271)
          0.010324796 = weight(abstract_txt:that in 1271) [ClassicSimilarity], result of:
            0.010324796 = score(doc=1271,freq=7.0), product of:
              0.02640178 = queryWeight, product of:
                1.4848036 = boost
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.0075187385 = queryNorm
              0.39106438 = fieldWeight in 1271, product of:
                2.6457512 = tf(freq=7.0), with freq of:
                  7.0 = termFreq=7.0
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.0625 = fieldNorm(doc=1271)
          0.05324144 = weight(abstract_txt:items in 1271) [ClassicSimilarity], result of:
            0.05324144 = score(doc=1271,freq=3.0), product of:
              0.08815658 = queryWeight, product of:
                2.1016257 = boost
                5.5789747 = idf(docFreq=455, maxDocs=44421)
                0.0075187385 = queryNorm
              0.60394174 = fieldWeight in 1271, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                5.5789747 = idf(docFreq=455, maxDocs=44421)
                0.0625 = fieldNorm(doc=1271)
          0.30443913 = weight(abstract_txt:informetrics in 1271) [ClassicSimilarity], result of:
            0.30443913 = score(doc=1271,freq=1.0), product of:
              0.6269306 = queryWeight, product of:
                10.731822 = boost
                7.769642 = idf(docFreq=50, maxDocs=44421)
                0.0075187385 = queryNorm
              0.48560262 = fieldWeight in 1271, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.769642 = idf(docFreq=50, maxDocs=44421)
                0.0625 = fieldNorm(doc=1271)
        0.28 = coord(7/25)