Document (#32583)

Author

Schneider, J.W.
Borlund, P.

Title

Matrix comparison, part 2 : measuring the resemblance between proximity measures or ordination results by use of the mantel and procrustes statistics

Source

Journal of the American Society for Information Science and Technology. 58(2007) no.11, S.1596-1609

Year

2007

Abstract

The present two-part article introduces matrix comparison as a formal means for evaluation purposes in informetric studies such as cocitation analysis. In the first part, the motivation behind introducing matrix comparison to informetric studies, as well as two important issues influencing such comparisons, matrix generation, and the composition of proximity measures, are introduced and discussed. In this second part, the authors introduce and thoroughly demonstrate two related matrix comparison techniques the Mantel test and Procrustes analysis, respectively. These techniques can compare and evaluate the degree of monotonicity between different proximity measures or their ordination results. In common with these techniques is the application of permutation procedures to test hypotheses about matrix resemblances. The choice of technique is related to the validation at hand. In the case of the Mantel test, the degree of resemblance between two measures forecast their potentially different affect upon ordination and clustering results. In principle, two proximity measures with a very strong resemblance most likely produce identical results, thus, choice of measure between the two becomes less important. Alternatively, or as a supplement, Procrustes analysis compares the actual ordination results without investigating the underlying proximity measures, by matching two configurations of the same objects in a multidimensional space. An advantage of the Procrustes analysis though, is the graphical solution provided by the superimposition plot and the resulting decomposition of variance components. Accordingly, the Procrustes analysis provides not only a measure of general fit between configurations, but also values for individual objects enabling more elaborate validations. As such, the Mantel test and Procrustes analysis can be used as statistical validation tools in informetric studies and thus help choosing suitable proximity measures.

Theme

Informetrie

Similar documents (author)

1. Schneider, J.W.; Borlund, P.: Introduction to bibliometrics for construction and maintenance of thesauri : methodical considerations (2004) 5.74

   5.738144 = sum of:
     5.738144 = sum of:
       2.02487 = weight(author_txt:schneider in 5423) [ClassicSimilarity], result of:
         2.02487 = score(doc=5423,freq=1.0), product of:
           0.55515826 = queryWeight, product of:
             7.2947483 = idf(docFreq=81, maxDocs=44421)
             0.07610383 = queryNorm
           3.6473742 = fieldWeight in 5423, product of:
             1.0 = tf(freq=1.0), with freq of:
               1.0 = termFreq=1.0
             7.2947483 = idf(docFreq=81, maxDocs=44421)
             0.5 = fieldNorm(doc=5423)
       3.7132738 = weight(author_txt:borlund in 5423) [ClassicSimilarity], result of:
         3.7132738 = score(doc=5423,freq=1.0), product of:
           0.8317447 = queryWeight, product of:
             1.2240146 = boost
             8.928879 = idf(docFreq=15, maxDocs=44421)
             0.07610383 = queryNorm
           4.4644394 = fieldWeight in 5423, product of:
             1.0 = tf(freq=1.0), with freq of:
               1.0 = termFreq=1.0
             8.928879 = idf(docFreq=15, maxDocs=44421)
             0.5 = fieldNorm(doc=5423)
   

2. Schneider, J.W.; Borlund, P.: ¬A bibliometric-based semiautomatic approach to identification of candidate thesaurus terms : parsing and filtering of noun phrases from citation contexts (2005) 5.74

   5.738144 = sum of:
     5.738144 = sum of:
       2.02487 = weight(author_txt:schneider in 1156) [ClassicSimilarity], result of:
         2.02487 = score(doc=1156,freq=1.0), product of:
           0.55515826 = queryWeight, product of:
             7.2947483 = idf(docFreq=81, maxDocs=44421)
             0.07610383 = queryNorm
           3.6473742 = fieldWeight in 1156, product of:
             1.0 = tf(freq=1.0), with freq of:
               1.0 = termFreq=1.0
             7.2947483 = idf(docFreq=81, maxDocs=44421)
             0.5 = fieldNorm(doc=1156)
       3.7132738 = weight(author_txt:borlund in 1156) [ClassicSimilarity], result of:
         3.7132738 = score(doc=1156,freq=1.0), product of:
           0.8317447 = queryWeight, product of:
             1.2240146 = boost
             8.928879 = idf(docFreq=15, maxDocs=44421)
             0.07610383 = queryNorm
           4.4644394 = fieldWeight in 1156, product of:
             1.0 = tf(freq=1.0), with freq of:
               1.0 = termFreq=1.0
             8.928879 = idf(docFreq=15, maxDocs=44421)
             0.5 = fieldNorm(doc=1156)
   

3. Schneider, J.W.; Borlund, P.: Matrix comparison, part 1 : motivation and important issues for measuring the resemblance between proximity measures or ordination results (2007) 5.74

   5.738144 = sum of:
     5.738144 = sum of:
       2.02487 = weight(author_txt:schneider in 1584) [ClassicSimilarity], result of:
         2.02487 = score(doc=1584,freq=1.0), product of:
           0.55515826 = queryWeight, product of:
             7.2947483 = idf(docFreq=81, maxDocs=44421)
             0.07610383 = queryNorm
           3.6473742 = fieldWeight in 1584, product of:
             1.0 = tf(freq=1.0), with freq of:
               1.0 = termFreq=1.0
             7.2947483 = idf(docFreq=81, maxDocs=44421)
             0.5 = fieldNorm(doc=1584)
       3.7132738 = weight(author_txt:borlund in 1584) [ClassicSimilarity], result of:
         3.7132738 = score(doc=1584,freq=1.0), product of:
           0.8317447 = queryWeight, product of:
             1.2240146 = boost
             8.928879 = idf(docFreq=15, maxDocs=44421)
             0.07610383 = queryNorm
           4.4644394 = fieldWeight in 1584, product of:
             1.0 = tf(freq=1.0), with freq of:
               1.0 = termFreq=1.0
             8.928879 = idf(docFreq=15, maxDocs=44421)
             0.5 = fieldNorm(doc=1584)
   

4. Borlund, P.: ¬The IIR evaluation model : a framework for evaluation of interactive information retrieval systems (2003) 2.32

   2.320796 = sum of:
     2.320796 = product of:
       4.641592 = sum of:
         4.641592 = weight(author_txt:borlund in 1922) [ClassicSimilarity], result of:
           4.641592 = score(doc=1922,freq=1.0), product of:
             0.8317447 = queryWeight, product of:
               1.2240146 = boost
               8.928879 = idf(docFreq=15, maxDocs=44421)
               0.07610383 = queryNorm
             5.5805492 = fieldWeight in 1922, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               8.928879 = idf(docFreq=15, maxDocs=44421)
               0.625 = fieldNorm(doc=1922)
       0.5 = coord(1/2)
   

5. Borlund, P.: ¬The concept of relevance in IR (2003) 2.32

   2.320796 = sum of:
     2.320796 = product of:
       4.641592 = sum of:
         4.641592 = weight(author_txt:borlund in 2798) [ClassicSimilarity], result of:
           4.641592 = score(doc=2798,freq=1.0), product of:
             0.8317447 = queryWeight, product of:
               1.2240146 = boost
               8.928879 = idf(docFreq=15, maxDocs=44421)
               0.07610383 = queryNorm
             5.5805492 = fieldWeight in 2798, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               8.928879 = idf(docFreq=15, maxDocs=44421)
               0.625 = fieldNorm(doc=2798)
       0.5 = coord(1/2)
   

Similar documents (content)

1. Schneider, J.W.; Borlund, P.: Matrix comparison, part 1 : motivation and important issues for measuring the resemblance between proximity measures or ordination results (2007) 2.15

   2.147148 = sum of:
     2.147148 = product of:
       2.6839347 = sum of:
         0.019463664 = weight(abstract_txt:thus in 1584) [ClassicSimilarity], result of:
           0.019463664 = score(doc=1584,freq=1.0), product of:
             0.06993067 = queryWeight, product of:
               1.175802 = boost
               5.0894265 = idf(docFreq=743, maxDocs=44421)
               0.011685967 = queryNorm
             0.278328 = fieldWeight in 1584, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.0894265 = idf(docFreq=743, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.01535794 = weight(abstract_txt:such in 1584) [ClassicSimilarity], result of:
           0.01535794 = score(doc=1584,freq=3.0), product of:
             0.047394715 = queryWeight, product of:
               1.1855255 = boost
               3.42101 = idf(docFreq=3945, maxDocs=44421)
               0.011685967 = queryNorm
             0.3240433 = fieldWeight in 1584, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               3.42101 = idf(docFreq=3945, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.04165249 = weight(abstract_txt:objects in 1584) [ClassicSimilarity], result of:
           0.04165249 = score(doc=1584,freq=3.0), product of:
             0.0805202 = queryWeight, product of:
               1.2616903 = boost
               5.4611917 = idf(docFreq=512, maxDocs=44421)
               0.011685967 = queryNorm
             0.51729244 = fieldWeight in 1584, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               5.4611917 = idf(docFreq=512, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.03783678 = weight(abstract_txt:degree in 1584) [ClassicSimilarity], result of:
           0.03783678 = score(doc=1584,freq=2.0), product of:
             0.086453795 = queryWeight, product of:
               1.3073515 = boost
               5.658835 = idf(docFreq=420, maxDocs=44421)
               0.011685967 = queryNorm
             0.43765318 = fieldWeight in 1584, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               5.658835 = idf(docFreq=420, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.031643797 = weight(abstract_txt:choice in 1584) [ClassicSimilarity], result of:
           0.031643797 = score(doc=1584,freq=1.0), product of:
             0.096688986 = queryWeight, product of:
               1.3825754 = boost
               5.98444 = idf(docFreq=303, maxDocs=44421)
               0.011685967 = queryNorm
             0.32727405 = fieldWeight in 1584, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.98444 = idf(docFreq=303, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.03414755 = weight(abstract_txt:studies in 1584) [ClassicSimilarity], result of:
           0.03414755 = score(doc=1584,freq=4.0), product of:
             0.073355846 = queryWeight, product of:
               1.4749025 = boost
               4.25605 = idf(docFreq=1711, maxDocs=44421)
               0.011685967 = queryNorm
             0.46550548 = fieldWeight in 1584, product of:
               2.0 = tf(freq=4.0), with freq of:
                 4.0 = termFreq=4.0
               4.25605 = idf(docFreq=1711, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.035708643 = weight(abstract_txt:techniques in 1584) [ClassicSimilarity], result of:
           0.035708643 = score(doc=1584,freq=3.0), product of:
             0.08318088 = queryWeight, product of:
               1.5705715 = boost
               4.5321174 = idf(docFreq=1298, maxDocs=44421)
               0.011685967 = queryNorm
             0.42928907 = fieldWeight in 1584, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               4.5321174 = idf(docFreq=1298, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.055664062 = weight(abstract_txt:validation in 1584) [ClassicSimilarity], result of:
           0.055664062 = score(doc=1584,freq=1.0), product of:
             0.14089683 = queryWeight, product of:
               1.6689792 = boost
               7.2241306 = idf(docFreq=87, maxDocs=44421)
               0.011685967 = queryNorm
             0.39506966 = fieldWeight in 1584, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               7.2241306 = idf(docFreq=87, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.021573499 = weight(abstract_txt:between in 1584) [ClassicSimilarity], result of:
           0.021573499 = score(doc=1584,freq=2.0), product of:
             0.08068045 = queryWeight, product of:
               1.9968916 = boost
               3.4573963 = idf(docFreq=3804, maxDocs=44421)
               0.011685967 = queryNorm
             0.26739436 = fieldWeight in 1584, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               3.4573963 = idf(docFreq=3804, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.034743506 = weight(abstract_txt:results in 1584) [ClassicSimilarity], result of:
           0.034743506 = score(doc=1584,freq=5.0), product of:
             0.08167523 = queryWeight, product of:
               2.0091646 = boost
               3.4786456 = idf(docFreq=3724, maxDocs=44421)
               0.011685967 = queryNorm
             0.42538607 = fieldWeight in 1584, product of:
               2.236068 = tf(freq=5.0), with freq of:
                 5.0 = termFreq=5.0
               3.4786456 = idf(docFreq=3724, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.049169544 = weight(abstract_txt:part in 1584) [ClassicSimilarity], result of:
           0.049169544 = score(doc=1584,freq=3.0), product of:
             0.113314375 = queryWeight, product of:
               2.1166928 = boost
               4.581023 = idf(docFreq=1236, maxDocs=44421)
               0.011685967 = queryNorm
             0.43392152 = fieldWeight in 1584, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               4.581023 = idf(docFreq=1236, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.053655196 = weight(abstract_txt:test in 1584) [ClassicSimilarity], result of:
           0.053655196 = score(doc=1584,freq=2.0), product of:
             0.13748622 = queryWeight, product of:
               2.3315508 = boost
               5.046027 = idf(docFreq=776, maxDocs=44421)
               0.011685967 = queryNorm
             0.39025873 = fieldWeight in 1584, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               5.046027 = idf(docFreq=776, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.037173532 = weight(abstract_txt:analysis in 1584) [ClassicSimilarity], result of:
           0.037173532 = score(doc=1584,freq=3.0), product of:
             0.1076483 = queryWeight, product of:
               2.5267632 = boost
               3.6456752 = idf(docFreq=3151, maxDocs=44421)
               0.011685967 = queryNorm
             0.34532392 = fieldWeight in 1584, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               3.6456752 = idf(docFreq=3151, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.10543192 = weight(abstract_txt:comparison in 1584) [ClassicSimilarity], result of:
           0.10543192 = score(doc=1584,freq=4.0), product of:
             0.17119433 = queryWeight, product of:
               2.6017168 = boost
               5.6307297 = idf(docFreq=432, maxDocs=44421)
               0.011685967 = queryNorm
             0.61586106 = fieldWeight in 1584, product of:
               2.0 = tf(freq=4.0), with freq of:
                 4.0 = termFreq=4.0
               5.6307297 = idf(docFreq=432, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.18271078 = weight(abstract_txt:informetric in 1584) [ClassicSimilarity], result of:
           0.18271078 = score(doc=1584,freq=3.0), product of:
             0.24699266 = queryWeight, product of:
               2.7063751 = boost
               7.809647 = idf(docFreq=48, maxDocs=44421)
               0.011685967 = queryNorm
             0.73974174 = fieldWeight in 1584, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               7.809647 = idf(docFreq=48, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.20665252 = weight(abstract_txt:resemblance in 1584) [ClassicSimilarity], result of:
           0.20665252 = score(doc=1584,freq=2.0), product of:
             0.30692494 = queryWeight, product of:
               3.016908 = boost
               8.705735 = idf(docFreq=19, maxDocs=44421)
               0.011685967 = queryNorm
             0.67329985 = fieldWeight in 1584, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               8.705735 = idf(docFreq=19, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.5482287 = weight(abstract_txt:ordination in 1584) [ClassicSimilarity], result of:
           0.5482287 = score(doc=1584,freq=5.0), product of:
             0.4769935 = queryWeight, product of:
               4.3428173 = boost
               9.398883 = idf(docFreq=9, maxDocs=44421)
               0.011685967 = queryNorm
             1.1493421 = fieldWeight in 1584, product of:
               2.236068 = tf(freq=5.0), with freq of:
                 5.0 = termFreq=5.0
               9.398883 = idf(docFreq=9, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.24749385 = weight(abstract_txt:measures in 1584) [ClassicSimilarity], result of:
           0.24749385 = score(doc=1584,freq=9.0), product of:
             0.27807978 = queryWeight, product of:
               4.3865094 = boost
               5.424824 = idf(docFreq=531, maxDocs=44421)
               0.011685967 = queryNorm
             0.89001024 = fieldWeight in 1584, product of:
               3.0 = tf(freq=9.0), with freq of:
                 9.0 = termFreq=9.0
               5.424824 = idf(docFreq=531, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.4269974 = weight(abstract_txt:matrix in 1584) [ClassicSimilarity], result of:
           0.4269974 = score(doc=1584,freq=9.0), product of:
             0.37998024 = queryWeight, product of:
               4.747243 = boost
               6.849437 = idf(docFreq=127, maxDocs=44421)
               0.011685967 = queryNorm
             1.1237358 = fieldWeight in 1584, product of:
               3.0 = tf(freq=9.0), with freq of:
                 9.0 = termFreq=9.0
               6.849437 = idf(docFreq=127, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
         0.49862936 = weight(abstract_txt:proximity in 1584) [ClassicSimilarity], result of:
           0.49862936 = score(doc=1584,freq=9.0), product of:
             0.42136917 = queryWeight, product of:
               4.999106 = boost
               7.212831 = idf(docFreq=88, maxDocs=44421)
               0.011685967 = queryNorm
             1.1833551 = fieldWeight in 1584, product of:
               3.0 = tf(freq=9.0), with freq of:
                 9.0 = termFreq=9.0
               7.212831 = idf(docFreq=88, maxDocs=44421)
               0.0546875 = fieldNorm(doc=1584)
       0.8 = coord(20/25)
   

2. Leydesdorff, L.; Vaughan, L.: Co-occurrence matrices and their applications in information science : extending ACA to the Web environment (2006) 0.25

   0.2467983 = sum of:
     0.2467983 = product of:
       0.7712447 = sum of:
         0.022244189 = weight(abstract_txt:thus in 113) [ClassicSimilarity], result of:
           0.022244189 = score(doc=113,freq=1.0), product of:
             0.06993067 = queryWeight, product of:
               1.175802 = boost
               5.0894265 = idf(docFreq=743, maxDocs=44421)
               0.011685967 = queryNorm
             0.31808916 = fieldWeight in 113, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.0894265 = idf(docFreq=743, maxDocs=44421)
               0.0625 = fieldNorm(doc=113)
         0.01755193 = weight(abstract_txt:such in 113) [ClassicSimilarity], result of:
           0.01755193 = score(doc=113,freq=3.0), product of:
             0.047394715 = queryWeight, product of:
               1.1855255 = boost
               3.42101 = idf(docFreq=3945, maxDocs=44421)
               0.011685967 = queryNorm
             0.3703352 = fieldWeight in 113, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               3.42101 = idf(docFreq=3945, maxDocs=44421)
               0.0625 = fieldNorm(doc=113)
         0.023561595 = weight(abstract_txt:techniques in 113) [ClassicSimilarity], result of:
           0.023561595 = score(doc=113,freq=1.0), product of:
             0.08318088 = queryWeight, product of:
               1.5705715 = boost
               4.5321174 = idf(docFreq=1298, maxDocs=44421)
               0.011685967 = queryNorm
             0.28325734 = fieldWeight in 113, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.5321174 = idf(docFreq=1298, maxDocs=44421)
               0.0625 = fieldNorm(doc=113)
         0.017434018 = weight(abstract_txt:between in 113) [ClassicSimilarity], result of:
           0.017434018 = score(doc=113,freq=1.0), product of:
             0.08068045 = queryWeight, product of:
               1.9968916 = boost
               3.4573963 = idf(docFreq=3804, maxDocs=44421)
               0.011685967 = queryNorm
             0.21608727 = fieldWeight in 113, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.4573963 = idf(docFreq=3804, maxDocs=44421)
               0.0625 = fieldNorm(doc=113)
         0.042484038 = weight(abstract_txt:analysis in 113) [ClassicSimilarity], result of:
           0.042484038 = score(doc=113,freq=3.0), product of:
             0.1076483 = queryWeight, product of:
               2.5267632 = boost
               3.6456752 = idf(docFreq=3151, maxDocs=44421)
               0.011685967 = queryNorm
             0.3946559 = fieldWeight in 113, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               3.6456752 = idf(docFreq=3151, maxDocs=44421)
               0.0625 = fieldNorm(doc=113)
         0.09428337 = weight(abstract_txt:measures in 113) [ClassicSimilarity], result of:
           0.09428337 = score(doc=113,freq=1.0), product of:
             0.27807978 = queryWeight, product of:
               4.3865094 = boost
               5.424824 = idf(docFreq=531, maxDocs=44421)
               0.011685967 = queryNorm
             0.3390515 = fieldWeight in 113, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.424824 = idf(docFreq=531, maxDocs=44421)
               0.0625 = fieldNorm(doc=113)
         0.3637315 = weight(abstract_txt:matrix in 113) [ClassicSimilarity], result of:
           0.3637315 = score(doc=113,freq=5.0), product of:
             0.37998024 = queryWeight, product of:
               4.747243 = boost
               6.849437 = idf(docFreq=127, maxDocs=44421)
               0.011685967 = queryNorm
             0.95723796 = fieldWeight in 113, product of:
               2.236068 = tf(freq=5.0), with freq of:
                 5.0 = termFreq=5.0
               6.849437 = idf(docFreq=127, maxDocs=44421)
               0.0625 = fieldNorm(doc=113)
         0.18995404 = weight(abstract_txt:proximity in 113) [ClassicSimilarity], result of:
           0.18995404 = score(doc=113,freq=1.0), product of:
             0.42136917 = queryWeight, product of:
               4.999106 = boost
               7.212831 = idf(docFreq=88, maxDocs=44421)
               0.011685967 = queryNorm
             0.45080194 = fieldWeight in 113, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               7.212831 = idf(docFreq=88, maxDocs=44421)
               0.0625 = fieldNorm(doc=113)
       0.32 = coord(8/25)
   

3. Alzahrani, S.; Palade, V.; Salim, N.; Abraham, A.: Using structural information and citation evidence to detect significant plagiarism cases in scientific publications (2012) 0.17

   0.17160949 = sum of:
     0.17160949 = product of:
       0.5362797 = sum of:
         0.033543725 = weight(abstract_txt:measure in 982) [ClassicSimilarity], result of:
           0.033543725 = score(doc=982,freq=2.0), product of:
             0.07978394 = queryWeight, product of:
               1.2559087 = boost
               5.4361663 = idf(docFreq=525, maxDocs=44421)
               0.011685967 = queryNorm
             0.42043203 = fieldWeight in 982, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               5.4361663 = idf(docFreq=525, maxDocs=44421)
               0.0546875 = fieldNorm(doc=982)
         0.026754642 = weight(abstract_txt:degree in 982) [ClassicSimilarity], result of:
           0.026754642 = score(doc=982,freq=1.0), product of:
             0.086453795 = queryWeight, product of:
               1.3073515 = boost
               5.658835 = idf(docFreq=420, maxDocs=44421)
               0.011685967 = queryNorm
             0.30946752 = fieldWeight in 982, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.658835 = idf(docFreq=420, maxDocs=44421)
               0.0546875 = fieldNorm(doc=982)
         0.07872087 = weight(abstract_txt:validation in 982) [ClassicSimilarity], result of:
           0.07872087 = score(doc=982,freq=2.0), product of:
             0.14089683 = queryWeight, product of:
               1.6689792 = boost
               7.2241306 = idf(docFreq=87, maxDocs=44421)
               0.011685967 = queryNorm
             0.55871284 = fieldWeight in 982, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               7.2241306 = idf(docFreq=87, maxDocs=44421)
               0.0546875 = fieldNorm(doc=982)
         0.021973722 = weight(abstract_txt:results in 982) [ClassicSimilarity], result of:
           0.021973722 = score(doc=982,freq=2.0), product of:
             0.08167523 = queryWeight, product of:
               2.0091646 = boost
               3.4786456 = idf(docFreq=3724, maxDocs=44421)
               0.011685967 = queryNorm
             0.26903775 = fieldWeight in 982, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               3.4786456 = idf(docFreq=3724, maxDocs=44421)
               0.0546875 = fieldNorm(doc=982)
         0.037939955 = weight(abstract_txt:test in 982) [ClassicSimilarity], result of:
           0.037939955 = score(doc=982,freq=1.0), product of:
             0.13748622 = queryWeight, product of:
               2.3315508 = boost
               5.046027 = idf(docFreq=776, maxDocs=44421)
               0.011685967 = queryNorm
             0.2759546 = fieldWeight in 982, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.046027 = idf(docFreq=776, maxDocs=44421)
               0.0546875 = fieldNorm(doc=982)
         0.07455163 = weight(abstract_txt:comparison in 982) [ClassicSimilarity], result of:
           0.07455163 = score(doc=982,freq=2.0), product of:
             0.17119433 = queryWeight, product of:
               2.6017168 = boost
               5.6307297 = idf(docFreq=432, maxDocs=44421)
               0.011685967 = queryNorm
             0.43547952 = fieldWeight in 982, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               5.6307297 = idf(docFreq=432, maxDocs=44421)
               0.0546875 = fieldNorm(doc=982)
         0.1461254 = weight(abstract_txt:resemblance in 982) [ClassicSimilarity], result of:
           0.1461254 = score(doc=982,freq=1.0), product of:
             0.30692494 = queryWeight, product of:
               3.016908 = boost
               8.705735 = idf(docFreq=19, maxDocs=44421)
               0.011685967 = queryNorm
             0.4760949 = fieldWeight in 982, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               8.705735 = idf(docFreq=19, maxDocs=44421)
               0.0546875 = fieldNorm(doc=982)
         0.116669714 = weight(abstract_txt:measures in 982) [ClassicSimilarity], result of:
           0.116669714 = score(doc=982,freq=2.0), product of:
             0.27807978 = queryWeight, product of:
               4.3865094 = boost
               5.424824 = idf(docFreq=531, maxDocs=44421)
               0.011685967 = queryNorm
             0.41955483 = fieldWeight in 982, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               5.424824 = idf(docFreq=531, maxDocs=44421)
               0.0546875 = fieldNorm(doc=982)
       0.32 = coord(8/25)
   

4. Zhang, C.; Liu, X.; Xu, Y.(C.); Wang, Y.: Quality-structure index : a new metric to measure scientific journal influence (2011) 0.16

   0.15848963 = sum of:
     0.15848963 = product of:
       0.49528012 = sum of:
         0.014331091 = weight(abstract_txt:such in 366) [ClassicSimilarity], result of:
           0.014331091 = score(doc=366,freq=2.0), product of:
             0.047394715 = queryWeight, product of:
               1.1855255 = boost
               3.42101 = idf(docFreq=3945, maxDocs=44421)
               0.011685967 = queryNorm
             0.3023774 = fieldWeight in 366, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               3.42101 = idf(docFreq=3945, maxDocs=44421)
               0.0625 = fieldNorm(doc=366)
         0.038335685 = weight(abstract_txt:measure in 366) [ClassicSimilarity], result of:
           0.038335685 = score(doc=366,freq=2.0), product of:
             0.07978394 = queryWeight, product of:
               1.2559087 = boost
               5.4361663 = idf(docFreq=525, maxDocs=44421)
               0.011685967 = queryNorm
             0.48049375 = fieldWeight in 366, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               5.4361663 = idf(docFreq=525, maxDocs=44421)
               0.0625 = fieldNorm(doc=366)
         0.019512884 = weight(abstract_txt:studies in 366) [ClassicSimilarity], result of:
           0.019512884 = score(doc=366,freq=1.0), product of:
             0.073355846 = queryWeight, product of:
               1.4749025 = boost
               4.25605 = idf(docFreq=1711, maxDocs=44421)
               0.011685967 = queryNorm
             0.26600313 = fieldWeight in 366, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.25605 = idf(docFreq=1711, maxDocs=44421)
               0.0625 = fieldNorm(doc=366)
         0.017434018 = weight(abstract_txt:between in 366) [ClassicSimilarity], result of:
           0.017434018 = score(doc=366,freq=1.0), product of:
             0.08068045 = queryWeight, product of:
               1.9968916 = boost
               3.4573963 = idf(docFreq=3804, maxDocs=44421)
               0.011685967 = queryNorm
             0.21608727 = fieldWeight in 366, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.4573963 = idf(docFreq=3804, maxDocs=44421)
               0.0625 = fieldNorm(doc=366)
         0.01775745 = weight(abstract_txt:results in 366) [ClassicSimilarity], result of:
           0.01775745 = score(doc=366,freq=1.0), product of:
             0.08167523 = queryWeight, product of:
               2.0091646 = boost
               3.4786456 = idf(docFreq=3724, maxDocs=44421)
               0.011685967 = queryNorm
             0.21741535 = fieldWeight in 366, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.4786456 = idf(docFreq=3724, maxDocs=44421)
               0.0625 = fieldNorm(doc=366)
         0.02452817 = weight(abstract_txt:analysis in 366) [ClassicSimilarity], result of:
           0.02452817 = score(doc=366,freq=1.0), product of:
             0.1076483 = queryWeight, product of:
               2.5267632 = boost
               3.6456752 = idf(docFreq=3151, maxDocs=44421)
               0.011685967 = queryNorm
             0.2278547 = fieldWeight in 366, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.6456752 = idf(docFreq=3151, maxDocs=44421)
               0.0625 = fieldNorm(doc=366)
         0.13333681 = weight(abstract_txt:measures in 366) [ClassicSimilarity], result of:
           0.13333681 = score(doc=366,freq=2.0), product of:
             0.27807978 = queryWeight, product of:
               4.3865094 = boost
               5.424824 = idf(docFreq=531, maxDocs=44421)
               0.011685967 = queryNorm
             0.47949123 = fieldWeight in 366, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               5.424824 = idf(docFreq=531, maxDocs=44421)
               0.0625 = fieldNorm(doc=366)
         0.230044 = weight(abstract_txt:matrix in 366) [ClassicSimilarity], result of:
           0.230044 = score(doc=366,freq=2.0), product of:
             0.37998024 = queryWeight, product of:
               4.747243 = boost
               6.849437 = idf(docFreq=127, maxDocs=44421)
               0.011685967 = queryNorm
             0.60541046 = fieldWeight in 366, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               6.849437 = idf(docFreq=127, maxDocs=44421)
               0.0625 = fieldNorm(doc=366)
       0.32 = coord(8/25)
   

5. Ahlgren, P.; Jarneving, B.; Rousseau, R.: Requirements for a cocitation similarity measure, with special reference to Pearson's correlation coefficient (2003) 0.14

   0.14344577 = sum of:
     0.14344577 = product of:
       0.51230633 = sum of:
         0.019463664 = weight(abstract_txt:thus in 171) [ClassicSimilarity], result of:
           0.019463664 = score(doc=171,freq=1.0), product of:
             0.06993067 = queryWeight, product of:
               1.175802 = boost
               5.0894265 = idf(docFreq=743, maxDocs=44421)
               0.011685967 = queryNorm
             0.278328 = fieldWeight in 171, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.0894265 = idf(docFreq=743, maxDocs=44421)
               0.0546875 = fieldNorm(doc=171)
         0.023718996 = weight(abstract_txt:measure in 171) [ClassicSimilarity], result of:
           0.023718996 = score(doc=171,freq=1.0), product of:
             0.07978394 = queryWeight, product of:
               1.2559087 = boost
               5.4361663 = idf(docFreq=525, maxDocs=44421)
               0.011685967 = queryNorm
             0.29729035 = fieldWeight in 171, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.4361663 = idf(docFreq=525, maxDocs=44421)
               0.0546875 = fieldNorm(doc=171)
         0.031643797 = weight(abstract_txt:choice in 171) [ClassicSimilarity], result of:
           0.031643797 = score(doc=171,freq=1.0), product of:
             0.096688986 = queryWeight, product of:
               1.3825754 = boost
               5.98444 = idf(docFreq=303, maxDocs=44421)
               0.011685967 = queryNorm
             0.32727405 = fieldWeight in 171, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.98444 = idf(docFreq=303, maxDocs=44421)
               0.0546875 = fieldNorm(doc=171)
         0.015254767 = weight(abstract_txt:between in 171) [ClassicSimilarity], result of:
           0.015254767 = score(doc=171,freq=1.0), product of:
             0.08068045 = queryWeight, product of:
               1.9968916 = boost
               3.4573963 = idf(docFreq=3804, maxDocs=44421)
               0.011685967 = queryNorm
             0.18907636 = fieldWeight in 171, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.4573963 = idf(docFreq=3804, maxDocs=44421)
               0.0546875 = fieldNorm(doc=171)
         0.021462148 = weight(abstract_txt:analysis in 171) [ClassicSimilarity], result of:
           0.021462148 = score(doc=171,freq=1.0), product of:
             0.1076483 = queryWeight, product of:
               2.5267632 = boost
               3.6456752 = idf(docFreq=3151, maxDocs=44421)
               0.011685967 = queryNorm
             0.19937286 = fieldWeight in 171, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.6456752 = idf(docFreq=3151, maxDocs=44421)
               0.0546875 = fieldNorm(doc=171)
         0.08249795 = weight(abstract_txt:measures in 171) [ClassicSimilarity], result of:
           0.08249795 = score(doc=171,freq=1.0), product of:
             0.27807978 = queryWeight, product of:
               4.3865094 = boost
               5.424824 = idf(docFreq=531, maxDocs=44421)
               0.011685967 = queryNorm
             0.29667008 = fieldWeight in 171, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.424824 = idf(docFreq=531, maxDocs=44421)
               0.0546875 = fieldNorm(doc=171)
         0.31826505 = weight(abstract_txt:matrix in 171) [ClassicSimilarity], result of:
           0.31826505 = score(doc=171,freq=5.0), product of:
             0.37998024 = queryWeight, product of:
               4.747243 = boost
               6.849437 = idf(docFreq=127, maxDocs=44421)
               0.011685967 = queryNorm
             0.8375832 = fieldWeight in 171, product of:
               2.236068 = tf(freq=5.0), with freq of:
                 5.0 = termFreq=5.0
               6.849437 = idf(docFreq=127, maxDocs=44421)
               0.0546875 = fieldNorm(doc=171)
       0.28 = coord(7/25)