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Annals of Library Science and Documentation 43,3; 1996; 81-107.

CITATION ANALYSIS OF DOCTORAL DISSERTATIONS IN MATHEMATICS USING dBASE 11I+

Bibliometric study of the citations in 27doctoral dissertations in mathematics submitted at the Burdwan University (West Bengal) from 1981 to 1990, and also of the references in the published articles cited in these theses was conducted us- ing

a

database management software package (dBase 11/+). The bibliographic forms of literature used, ranked list of journals in pure mathemat- ics, applied mathematics and statistics, normalised ranking of journals with corrected ci- tation number according to Sengupta's formula and correlation study between two lists found out by the use of the software developed are pre- sented. The programme appended with this pa- per may be used for similar such studies.

INTRODUCTION

dBase 111+is a powerful general purpose data base management software which can be very easily utilised for all the library activiues including bibliometric studies. The files remain very flexible.

At any time the structure of a file can be changed, by adding or deleting some fields; relation to other files can be set; two or more files can be linked or joined to combine fields or manipulate them. Re- ports can be generated in desired formats for any selective part of a file or by combining data from more than one files. Minor mathematical manipu- lations necessary for bibliometric studies like pre- paring ranked list, finding percentage, getting log values, performing correlation studies etc. can easily be done by writing short programmes in dBase 111+.The tremendous manual labour of bibliometric studies with big databases may be reduced to a great extent by using a computer, as it provides extensive flexibilities of sorting, reorganising and reranking the files in any desired

Vol43 No 3 September 1996

AMIT KUMAR BANDYOPADHYAY Dept. of Library & Information Science University of Burdwan

Burdwan-713104 West Bengal

order for analysis in different contexts.

OBJECTIVES OF THE STUDY

The present study, a part of a broader one was undertaken to develop programmes for citation analysis of references used in some doctoral dissertations in mathematics and of references cited by the articles therein to determine:

a) the main bibliographic forms used;

b) the ranked list of core journals in mathemat- ics and its branches;

c) the normalised ranked list, following Sengupta's correction;

d) the scholars' choice of journals for publishing articles; and

e) the correlation study of what they refer, where they publish and who cites them.

SCOPE AND METHODOLOGY

27 doctoral dissertations on mathematics submit- ted to the University of Burdwan (West Bengal) from 1981 to 1990 and the published articles ap- pended therein, if any, and the references ap- pended to these articles were taken as the input for the study. The Science Citation Index (SCI) from the beginning to 1993 were consulted to know the citations received by these articles/the- ses. References to a single article/book or other document, used more than once, was consid- ered as one. The name of the host document, type of the document, year, number of authors, start- ing page number, self citation, if any, etc. of the total number of 2261 references appended to these theses were noted in each case. A dBaselll+

master file named THREF.DBF was created with the help of a PC-XT for analysis of the data. A five

81

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A.K. BANDYOPADHYAY

character alpha-numeric code number (REFCODE) was allotted to each thesis and this was used as the key field in all the related files.

For example, the REFGODE for a thesis of math- ematics submitted in 1987 by Manoranjan J is m87 jm. The other fields used, were for recording document type (REFTP), year (REFYR), number of authors (NOREFRAUTH), name of the journal in case of ajournal reference (JLNAME), first page of the article ( FPAGE ), self-citation, if any (SELFCIT), source thesis year (THYR), citation number (CITNO)(this is one for each reference) and broad subject of the source thesis (SUB- JECT). A two letter character code was used to denote the subject such as, mp =Pure Mathemat- ics, ma =Applied Mathematics, ms =Statistics .The structure of the file THREF.DBF is given in the Appendix-I.

The codes used to record REFTP were, b =Book,c

=Conference/Seminar,j =Journal article,r =Report,t

=Thesis, ta= Table.se'Standard.l =Lecture notes ,un =Unpublished, and m =Others.

The journal abbreviations used in SCI [3] were followed and similar abbreviations were developed for non-SCI titles within 20 character field length.

INSDOC's National Union Catalogue of Scientific Serials in India [2] and Ulrich's International Peri- odicals Directory, 1989 [6] were used to identify any wrongly abbreviated journal title and also to determine the history, country and year of origin of the journal titles.

In studying the references used in the published articles appended to these theses,if any, a sepa- rate file named ARTREF.DBF was created with the REFCODE as the key field, article no.

(ARTNO) as the next field and article year (ARTYR) as an additional field.

A separate file named (THES.DBF) was created to note the full details of every thesis like REFCODE, accession nO.(ACCN), scholar's sur- name (SNAME) and forename (FNAME), year of

submission (THYR), thesis title (THT), name of guides (GDN), no. of pages (NPG), no. of articles (NOART)and subject. Another file named CITREF.DBF is created to npte the citations re- ceived by the articles written by the scholars. The fields included are REFCODE, ARTNO, citation . type (CITIP), citing author (AUTH), name of the

citing journal (JLNAME), citing year (REFYR), first page of the citing article (FPAGE), and year of publication of the scholar's article that has received the citation (ARTYR). The code used to record CITIP was 0 = no citation, 1 = no self citation, 2

= author self citation, 3 = guide self citation, 4 = journal self citation, 5 = author &journal self cita- tion, 6 = author &guide self citation.

Another file named THART.DBF was made to record full bibliographic details of the articles re- ferred to in the theses. In addition to the biblio- graphic information, there are some fields like AUTHNO (= number of authors of the article), PAGENO (number of pages) and REFNO (=no of references in the article). The structures of the da- tabases are given in the Appendix-I.

ANALYSIS OF DATA

The softwares developed to analyse various as- pects of the study are given as Appendix II. The operational aspects of the software are provided inAppendix III.This software may be used for simi- lar bibliometric studies.

Subject-wise Distribution of Theses

The subject wise distribution of the theses, av- erage references per thesis (ART) and average reference per page of thesis (ARP) are shown in Table 1. The ART of all the theses is 83.7. ART of pure mathematics is only 44.1. It is 100.8 for ap- plied mathematics and 117.33 for statistics. The ARP is 0.5016 for all the theses. It is 0.34 for pure mathematics, 0.55 for applied mathematics and 0.61 for statistics.

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CITATION ANAL YSIS

OF

DOCTORAL DISSERTA TlONS IN MA THEMATICS USING dBASE 111+

Table 1

Distribution of theses and their page & references by year of submission and subject branches

1981

-

1985 1986

-

1990 1981

-

1990

Subject Total no Total no Total no Total no Total no Total no Total no Total no Total no

of of of of of of of of of

theses references pages theses references pages theses references pages

(T1) (Al) (Pl) (T2) (A2) (P2) (T3) (A3) (P3)

1 2 3 4 5 6 7 8 9

Pure 2 104 302 7 293 876 9 397 1178

Math

Applied 9 870 1696 6 642 1052 15 1512 2748

Math

Statistics 1 185 256 2 167 325 3 352 581

Total 12 1159 2254 15 1102 2253 27 2261 4507

Average reference Average reference Average Average reference

per per page per page per page page/per per per page

thesis of thesis of thesis of thesis thesis thesis of thesis

(RllT1) (Rl/Pl) (R2IT2) (A2IP2) (R3IT3) (A:1iP3)

10 11 12 13 14 15 16

Pure 52 0.34 41.857 0.33 130.89 44.1 0.34

Math

Applied 96.66 0.51 107.0 0.61 183.20 100.8 0.55

Math

Statistics 185 0.72 83.5 0.51 173.67 117.33 0.61

Total 96.58 0.51 73.47 0.49 166.93 83.74 0.50

Vol43 No 3 September 1996 83

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A.K. BANDYOPADHYAY

Bibliographic Forms was used in pure mathematics. Journals are used more in pure mathematics whereas, more books are used in statistics (17.33%). It was found that journal articles accounted for 80.01 % of the total literature whereas, books were 14.86%.

Variation in the use of bibliographic forms of lit- erature in pure and applied mathematics and sta- tistics is evident from Table 2. No report literature

Table 2

Type of documents used in thesis references of mathematics

Pure mathematics Applied mathematics Statistics Total Form

No.

of Percent- No. of Percent- No. of Percent- No. of Percent-

citations age citations age citations age citations age

BOOKS 52 13.10 223 14.75 61 17.33 336 14.86

JOURNALS 330 83.12 1209 79.96 270 76.70 1809 80.01

REPORTS

-

- 20 1.32 9 2.56 29 1.28

SEMINAR ETC 2 0.50 39 2.58 4 1.14 45 1.99

THESES 4 1.01 14 0.93 8 2.27 26 1.15

UNPUBLISHED 6 1.51 3 0.20 -

-

9 0.40

LECTURE 2 0.50 1 0.07 - - 3 0.13

NOTES

OTHERS 1 0.25 3 0.20

- -

4 0.18

TOTAL 397 2512 352 2261

When the articles' references are counted con- sidering one thesis as an unit and counting one reference appearing in several articles of one the- sis as one (whereas two articles may relate to two Chapters of a thesis and a reference appearing at

the end of two chapters are taken as one only), there are 81.7% journal references and 16.52%

books. Conference and thesis are used very little in article references accounting for 0.45% each (Table 3).

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CITA TION ANAL YSIS

OF

DOCTORAL DISSERTA TIONS IN MA THEMA TICS USING dBASE 111+

Table 3

Types of document used in article's references and related theses references of mathematics

Article's references (Considering one

Article's references reference appearing Related theses (Taking all references) in two articles of a references

thesis as one only) Form

1 2 3

No. of Percentage No. of Percentage No. of Percentage

citation citation citation

BOOKS 42 15.56 37 16.52 214 16.31

JOURNALS 222 82.22 183 81.70 1031 78.58

REPORTS -

-

-

-

16 1.22

SEMINAR ETC. 1 0.37 1 0.45 26 1.98

THESES 2 0.74 1 0.45 14 1.07

UNPUBLISHED 3 1.11 2 0.89 5 0.38

LECTURE NOTES

-

-

-

- 3

,

0.23

OTHERS

- - - -

3 0.23

TOTAL 270 224 1312

However, when the study is made taking individual ' articles as units and same reference appearing in two articles are counted twice ( as it is always done in case of citation analysis of journal articles), it is observed that 15.56% books and 82.22% jour- nal references are used.

The study with references of the few selective theses to which articles are appended ( for which we studied under artref ), showed 78.58 % refer- ences for journal articles and 16.31 % for books (Table 3).

Vol43 No 3 September 1996

Thus, the result of any thesis study will differ from that of journal articles' study due to

i) selective use of references in journal articles for want of space; and

ii) appearance of several articles based on a the- sis , many references of which may be given in more than one article but they may appear only once in the thesis, particularly when the list of references is given at the end of the thesis.

85

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A.K. BANDYOPADHYAY

Ranked List of Journals used In the Thesis sidering individual titles and sections and changed titles as separate units, a list of 384 journals with When all the 1809 journal citations are considered last rank position 35 was generated (Table 4).

for preparing a ranked list in mathematics, con-

Table 4

Ranked list of journals used by mathematics scholars in their theses

SI Rank Journal name No. of Curnul. Percentage of Cumulative

no. no. citations no. of total journal percentage

citations citations

1 2 3 4 5 6 7

1 1 J APPL MECH 80 80 4.42 4.42

2 2 INT J ENG S 64 144 3.54 7.96

3 3 J PHYS B 52 196 2.88 10.84

4 4 J FLUID MEC 42 238 2.32 13.16

5 5 TECHNOMET 36 274 1.99 15.15

6 6 PROYSOCA 34 308 1.88 17.03

7 7 ZANGMATH 33 341 1.82 18.85

8 8 J APPL MA R 32 373 1.77 20.62

9 8 B CAL MATH SOC 32 405 1.77 22.39

10 9 ARCH R MECH 30 435 1.66 24.05

11 9 Z ANG MATH MECH 30 465 1.66 25.70

12 10 PLOND MATH 29 494 1.60 27.31

13 11 PHYS REV A 28 522 1.55 28.86

14 12 TAMMATHS 27 549 1.49 30.35

15 13 IJ PAMATH 26 575 1.44 31.79

16 13 ANN MATH STAT 26 601 1.44 33.22

17 14 OJ MECH AP 25 626 1.38 34.60

18 14 P CAMB PHIL SOC 25 651 1.38 35.99

19 15 JAMSTATA 22 673 1.22 37.20

20 15 FUND MATH 22 695 1.22 38.42

21 16 PAM MATH S 21 716 1.16 .39.58

22 17 J PHYS JPN 20 736 1.11 40.69

23 17 PHYS REV 20 756 1.11 41.79

24 18 B ACAD POL SC S T 19 775 1.05 42.84

25 18 PHYS FLUIDS 19 794 1.05 43.89

26 19 ARCH MECH STOS 18 812 0.99 44.89

27 19 JMECH PHYS 18 830 0.99 45.88

28 20 PACJMATH 16 846 0.88 46.77

29 20 INT J SOL S 16 862 0.88 47.65

30 21 IEEE RELIAB 15 877 0.83 48.48

31 22 J APPL PHYS 14 891 0.77 49.25

32 22 PUR AGEOPH 14 905 0.77 50.03

33 22 IAPORT 14 919 0.77 50.80

34 23

o

APPL MATH 13 932 0.72 51.52

contd.

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CITATION ANAL YSISOFDOCTORAL DISSERTA TIONS IN MA THEMA TICS USING dBASE 11I+

Table 4 (contn.)

SI Rank Journal name No. of Cumul. Percentage of Cumulative

no. no. citations no of total journal percentage

citations citations

1 2 3 4 5 6 7

35 23 EARTHQUAKE EN S 0 13 945 0.72 52.24

36 23 J ELAST 13 958 0.72 52.96

37 24 J AERO/SPACE SC 12 970 0.66 53.~2

38 24 TENSOR 12 982 0.66 54.28

39 25 ACT MECHAN 11 993 0.61 54.89

40 25 PHI T ROY A 11 1004 0.61 55.50

41 25 J ENG MEC 11 1015 0.61 56.11

42 26 (4 Journals) 10 1055 0.55 58.32

46 27 (6 Journals) 9 1109 a.50 61.31

52 28 (4 Journals) 8 1141 0.44 63.08

56 29 (6 Journals) 7 1183 0.39 65.4

62 30 (8 Journals) 6 1231 0.33 68.05

70 31 (19 Journals) 5 1316 0.28 73.3

..

89 32 (23 Journals) 4 1418 0.22 78.38

145 33 33 (34 journals) 3 1520 0.166 84.02

195 34 34 (50 journals) 2 1620 0.111 89.57

384 35 35 (189 journals) 1 1809 0.555 100.00

Journal of Applied Mechanics tops the list with 80 citations. Bulletin of the Calcutta Mathematical So- ciety coming in 8th position with 32 references in overall ranking occupies top position amongst Indian journals in the list. First 11 journals cover 25.7% of total journal citations, 32 titles cover 50%, 96 titles for 75% and 111 titles with at least 4 cita- tions each, cover 78.38 % of total journal litera- ture. The list gives titles with 10 citations and less.

Vol 43 No 3 September 1996

Next the references were grouped according to the subject of the source theses and ranked list of journals used by pure mathematics, applied math- ematics and statistics scholars were prepared as in Table Nos. 5, 6 and 7 respectively. It is found that to satisfy approximately 80% of journal re- quirements, 29 journals in statistics and 38 in pure mathematics are required and in applied math- ematics 42 journals are required for covering 71% of the subject.

87

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A.X. BANDYOPADHYAY

Table 5

Ranked list of journals used in theses references of pure mathematics

SI. Rank Journal name No. of Cumul. Percentage of Cumulative

no. no. citations no. of total journal percentage

citations citations

1 1

P LaND MATH

28 28 8.48 8.48

2 2 T AM MATH S 27 55 8.18 16.67

3 3 FUND MATH 22 77 6.67 23.33

4 4 PAM MATH S 21 98 6.36 29.70

5 5 PACJ MATH 16 114 4.85 34.55

6 6 TENSOR 12 126 3.64 38.18

7 7 J LOND MATH 9 135 2.73 40.91

8 7 BAM MATH S 9 144 2.73 43.64

9 7 I J P"AMATH 9 153 2.73 46.36

10 8 CZEC MATH J 8 161 2.42 48.79

11 9 STUD MATH 6 167 1.82 50.60

12 9 MATH ANNAL 6 173 1.82 52.42

13 9 AMMATHMO 6 179 1.82 54.24

14 10 CANJ MATH 5 184 1.51 55.76

15 10 REV RO MATH PA 5 189 1.51 57.27

16 10 J MATH ANAL 5 194 1.51 58.79

17 10 B CAL-MATH SOC 5 199 1.51 60.30

18 11 REAL MATH ANAL Y EXCH 4 203 1.21 61.51

19 11 B INST MATH ACAD SIN 4 207 1.21 62.73

20 11 J AUS MATH 4 211 1.21 63.94

21 11 MATH SLOVACA 4 215 1.21 65.15

22 11 DUKE MATH J 4 219 1.21 66.36

23 11 BOLL U MAT ITAll 4 223 1.21 67.57

24 12 PIMP ACAD TOKYO 3 226 0.91 68.48

25 12 TEX J SC 3 229 0.91 69.39

26 12 B ACAD POL SC SMAP 3 232 0.91 70.30

27 12 YOKOHAMA MATH J 3 235 0.91 71.21

28 12 B AUST MATH SOC 3 238 0.91 72.12

29 12 B MATH SOC S M ROUMA 3 241 0.91 73.03

30 12 ATTI ACCAD NAZ L R S 3 244 0.91 73.94

31 12 COLLOQ MATH 3 247 0.91 74.84

32 12 ILLJ MATH 3 250 0.91 75.75

33 12 ACT MATH HU 3 253 0.91 76.66

34 12 IJ MATH 3 256 0.91 77.57

35 13 COLLECT MATH 2 258 0.61 78.18

36 13 ANN SOC SC BRUX 1 2 260 0.61 78.78

37 13 ANN MATH 2 262 0.61 79.39

38 13 KYUNGPOOK MATH J 2 264 0.61 80.00

39 13 TOHOKUMATH 2 266 0.61 80.60

40 13 ACT MATH ACAD S HU 2 268 0.61 81.21

41 13 TRUMATH 2 270 0.61 81.81

42 13 J I MATH

sac

2 272 0.61 82.42

43 13 INDAG MATH 2 274 0.61 83.03

44 13 MATSBORNIK 2 276 0.61 83.63

45 13 P NAS US 2 278 0.61 84.24

46 13 PUB INST MATH 2 280 0.61 84.84

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CITATION ANAL YSIS OF DOCTORAL DISSERTATIONS IN MATHEMA TICS USING dBASE 111+

Table 6

Ranked list of journals used in theses references of applied mathematics

SI Rank Journal name No. of Cumul. Percentage of Cumulative

no. no. citations no. of journal total percentage

citations citations

1 1 J APPL MECH 79 79 6.53 6.53

2 2 INT J ENG S 64 143 5.29 11.83

3 3 J PHYS B 52 195 4.30 16.13

4 4 J FLUID MEC 42 237 3.47 19.60

5 5 P ROYSOCA 34 271 2.81 22.41

6 6 ZANG MATH 33 304 2.73 25.14

7 7 J APPL MA R 32 336 2.65 27.79

8 8 ARCH R MECH 30 366 2.48 30.27

9 8 Z ANG MATH MECH 30 396 2.48 32.75

10 9 PHYS REV A 28 424 2.32 35.07

11 10 B CAL MATH SOC 27 451 2.23 37.30

12 11 QJ MECH AP 25 476 2.07 39.37

13 11 P CAMB PHIL SOC 25 501 2.07 41.44

14 12 J PHYS JPN 20 521 1.65 43.09

15 12 PHYS REV 20 541 1.65 44.75

16 13 PHYS FLUIDS 19 560 1.57 46.32

17 14 B ACAD POL SC S T 18 578 1.49 47.81

18 14 J MECH PHYS 18 596 1.49 49.30

19 14 ARCH MECH STOS 18 614 1.49 50.79

20 15 I J PAMATH 17 631 1.41 52.19

21 16 INT J SOL S 16 647 1.32 53.52

22 17 J APPL PHYS 14 661 1.16 54.67

23 17 PUR AGEOPH 14 675 1.16 55.83

24 18 EARTHQUAKE EN S D 13 688 1.07 56.91

25 18 QAPPLMATH 13 701 1.07 57.98

26 18 J ELAST 13 714 1.07 59.06

27 19 J AERO/SPACE SC 12 726 0.99 60.05

28 20 ACT MECHAN 11 737 0.91 60.96

29 20 J ENG MEC 11 748 0.91 61.87

30 20 PHI T ROY A 11 759 0.91 62.78

31 21 I J TH PHYS 10 769 0.83 63.61

32 21 J MATH PHYS 10 779 0.83 64.43

33 22 CRACS 9 788 0.74 65.18

34 22 APPL SCI RES A 9 797 0.74 65.92

35 22 P VIB PROB 9 806 0.74 66.67

36 22 PRIKL MEKH 9 815 0.74 67.41

37 23 APPL SCI RES B 8 823 0.66 68.07

38 23 B SEIS S AM 8 831 0.66 68.73

39 24 J GEOTECH E 7 838 0.58 69.31

40 24 J HEATTRAN 7 845 0.58 69.89

41 24 AIAAJ 7 852 0.58 70.47

42 24 INT J HEAT 7 859 0.58 71.05

Vol43 No 3 September 1996 89

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A.X. BANDYOPADHYAY

Table 7

Ranked list of journals used in theses references of statistics

SI. Rank Journal name No. of Cumulative Percentage of Cumulative

no. no. citations no. of journal total citations percentage

citations

1 1 TECHNOMET 36 36 13.33 13.33

2 2 ANN MATH STAT 26 62 9.63 22.96

3 3 JAMSTATA 22 84 8.15 31.11

4 4 IEEE RELIAB 15 99 5.56 36.67

5 5 IAPQRT 14 113 5.18 41.85

6

6

J ROY STAB 9 122 3.33 45.19

7 6 BIOMETRIKA 9 131 3.33 48.52

8 7 OPERATRES 7 138 2.59 51.11

9 8 SANKHYAA 6 144 2.22 53.33

10 9 NAV RES LOG 5 149 1.85 55.19

11 9 P NAT SYMP RELIAB

ac

5 154 1.85 57.04

12 9 COMMSTATA 5 159 1.85 58.89

13 9 IND QUALITY CONTROL 5 164 1.85 60.74

14 9 CAL STAT ASSOC B 5 169 1.85 62.59

15 10 ZASTOSOWANIA MAT A M 4 173 1.48 64.07

16 10 METRIKA 4 177 1.48 65.56

17 10 ANN I STAT 4 181 1.48 67.04

18 10 J OPER RES SOC JPN 4 185 1.48 68.52

19 10 AUST JSTAT 4 189 1.48 70.00

20 10 COMMSTAT 4 193 1.48 71.48

21 11 BIOMETRICS 3 196 1.11 72.59

22 11 BINTSTATI 3 199 1.11 73.70

23 11 APPLSTAT 3 202 1.11 74.81

24 11 J APPL PROB 3 205 1.11 75.92

25 11 P I SC CONG ASSOCN 3 208 1.11 77.03

26 11 J I SOC AGRI STAT 3 211 1.11 78.14

27 12 DEFENCE SC J 2 213 0.74 78.89

28 12 J RES NBS 2 215 0.74 79.63

29 12 SANKHYA 2 217 0.74 80.37

30 12 INTSTATR 2 219 0.74 81.11

Ranked List for References back upto 1961 the quantum of published literature in the new pe- riodicals is limited by the period for which they have been in existance." To reduce the gain of long run titles for their very old issues, a short list of references was considered back upto 1961 only (20 years from the earliest year of source docu- ment - 1981) (Table 8).

According to Sengupta [4], "in ranking list based on total number of citations irrespective of chro- nology, the ranking of the newly established peri- odicals may not be an accurate index of demand or usefulness to the research workers because

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CITA TION ANAL VSISOFDOCTORAL DISSERTA T/ONS IN MA THEMA TICS USING dBASE 11I+

Table 8

Ranked list of journal references (back upto 1961) used by mathematics scholars in their theses

SI. Rank Journal name No. of Cumulative Percentage of Cumulative

no. no. citations no. of journal total citations percentage

citations

1 1 INT J ENG S 64 64 4.85 4.85

2 2 J APPL MECH 56 120 4.25 9.10

3 3 J PHYS B 52 172 3.94 13.04

4 4 J FLUID MEC 36 208 2.73 15.77

5 5 TECHNOMET 30 238 2.27 18.04

6 5 ZANGMATH 30 268 2.27 20.32

7 6 B CAL MATH SOC 29 297 2.20 22.52

8 7 PHYS REV A 28 325 2.12 24.64

9 8 JAPPLMA R 27 352 2.05 26.69

10 9 IJ PAMATH 26 378 1.97 28.66

11 10 ARCH R MECH 24 402 1.82 30.48

12 11 B ACAD POL SC S T 19 421 1.44 31.92

13 12 Z ANG MATH MECH 18 439 1.36 33.28

14 12 QJ MECH AP 18 457 1.36 34.65

15 13 PHYS REV 17 474 1.29 35.94

16 14 PHYS FLUIDS 16 490 1.21 37.15

17 14 J PHYS JPN 16 506 1.21 38.36

18 14 INT J SOL S 16 522 1.21 39.58

19 14 P CAMB PHIL SOC 16 538 1.21 40.79

20 15 IEEE RELIAB 15 553 1.14 41.92

21 15 PACJMATH 15 568 1.14 43.06

22 16 PAMMATHS 14 582 1.06 44.12

23 16 JAMSTAT A 14 596 1.06 45.18

24 16 IAPQRT 14 610 1.06 46.24

25 16 PUR AGEOPH 14 624 1.06 47.31

26 16 T AM MATH S 14 638 1.06 48.37

27 16 ARCH MECH STOS 14 652 1.06 49.43

28 17 J ELAST 13 665 0.99 50.41

29 17 EARTHQUAKE EN S D 13 678 0.99 51.40

30 18 J MECH PHYS 12 690 0.91 52.31

31 18 FUND MATH 12 702 0.91 53.22

32 19 P ROY SOC A 11 713 0.83 54.05

33 19 J ENGMEC 11 724 0.83 54.89

34 19 TENSOR 11 735 0.83 55.72

35 19 ACT MECHAN 11 746 0.83 56.56

36 20 I J TH PHYS 10 756 0.76 57.31

37 21 PRIKL MEKH 9 765 0.68 58.00

38 22 P LOND MATH 8 773 0.61 58.60

39 22 CZEC MATHJ 8 781 0.61 59.21

40 22 APPL SCI RES A 8 789 0.61 59.82

41 22 B SEIS S AM 8 797 0.61 60.42

42· 22 QAPPLMATH 8 805 0.61 61.03

Vol 43 No 3 September 1996 91

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A.X. BANDYOPADHYAY

In comparing the two lists (Table 4 & 8), it is ob- served that there is minor change in rank position for most of the journals. New journals have gained in position and the old ones have lost.

Some major changes as revealed in the study are:

P ROY SOC A has gone down to rank posi- tion 19 from 6,

P LOND MATH has gone down to rank posi- tion 22 from 10,

ANN MATH-.STAT has gone down to rank po- sition 24 from 13.

PHI T ROY A is no more in the list that had 25th rank position with 11 citations.

Sengupta's Weightage Formula

Sengupta [4] has provided the weitage formula as

(1)

n n

1

for correcting citations (to avoid the problem of newly emerged important journals getting less ci- tations only because of their short age). He has shown while explaining his formula

"Y2-Y1 = 1970-1946 = 25 and Y2-Y3=1970-1968=3"

where Y1=1946,Y2=1970and Y3=1968.lt is implied that, these will be Y2-(Y1-1} and Y2-(Y3-1}.

Then the formula will be :

C1= C. (2)

n n

1

Where, C = number of citations enumerated C1 = corrected (We would say

Normalised) no. of citations Y1 = the begining year for which the ci-

tations are taken into consideration (1961 in this study).

the year upto which the source documents are consulted for counting <;itations (1990), the begining year of the source documents from which counting of citations started (1981)},

n = the number of years during the period Y1to Y2 (1961 t01990) for which the journal had been in existence, and

n, = the number of years during the period Y3to Y2(1981 to 1990) for which the journal had been in existence.

Y3

=

In this study,{Y2-(Y1-1}} = {1990-(1961-1} = 1990- 1960 = 30,

and

{Y2-(Y3-1}} = {1990-(1981-1} = 1990- 1980::: 10.

30 10

Hence, C1=--.--

n n

1

The factor ~ corrects the smaller quantum of literature available from journals starting publica- tion after 1961 and the factor ~ for the shorter period covered by enumeration in' respect of jour- nals starting publication after 1981.

The accumulation of pre -1961 literature is omit- ted in case of long established journals by setting the cut-off year to 1961 as stated earlier.

The normalised ranked list is given in Table 9 (a short list upto normalised citation no.8 is given here for want of space). The journal'Appl Sci Res A' having enumerated citation nO.8 (sl no.40 in Table 8) get normalised citation 48.00 and has come to (sl nO.5 in Table 9).

(13)

CITATION ANAL YSIS OFDOCTORAL DISSERTATIONS IN MATHEMATICS USiNG dBASE 11I+

Table 9

Ranked list of normalised citation number according to SENGUPTA'S Formula

SI. Rank Journal name Normalised Enumerated Year of Year of

no. no. citation citation commencement closinq

number number

1 1 INT J ENG S 68.57 64 1963 0

2 2 J PHYS B 67.83 52 1968 0

3 3 PHYSHEV 56.67 17 1893 1969

4 4 J APPL MECH 56.00 56 1935 0

5 5 APPL SCI RES A 48.00 8 1947 1965

6 6 PHYS REV A 40.00 28 1970 0

7 7 I J PAMATH 37.14 26 1970 0

8 8 J FLUID MEC 36.00 36 1956 0

9 9 P CAMB PHIL SOC 34.29 16 1843 1974

10 10 ARCH MECH STOS 32.31 14 1949 1973

11 11 lANG.MATH 30.00 30 1950 0

12 11 TECHNOMET 30.00 30 1959 0

13 12 B CAL MATH SOC 29.00 29 1908 0

14 13 IAPQRT 28.00 14 1976 0

15 14 J APPL MA R 27.00 27 1958 0

16 15 ARCH R MECH 24.00 24 1957 0

17 16 EARTHQUAKE EN S D 20.53 13 1972 0

18 17 J ELAST 19.50 13 1971 0

19 ' 18 B ACAD POL SC S T 19.00 19 1953 0

20 19 INT J SOL S 18.46 16 1965 0

21 20 QJ MECH AP 18.00 18 1948 0

22 20 l ANG MATH MECH 18.00 18 1921 0

23 21 PHYS FLUIDS 16.00 16 1958 0

24 21 J PHYS JPN 16.00 16 1946 0

25 22 PACJ,MATH 15.00 15 1951 0

26 22 IEEE RELIAB 15.00 15 1952 0

27 22 P VIB PROB 15.00 7 1959 1974

28 23 JAMSTATA 14.00 14 1888 0

29 23 T AM MATH S 14.00 14 1900 0

30 23 PAM MATH S 14.00 14 1950 0

31 23 PUR AGEOPH 14.00 14 1939 0

32 24 ACT MECHAN 12.69 11 1965 0

33 25 J GEOTECH E 12.35 7 1974 0

34 26 J MECH PHYS 12.00 12 1952 0

35 26 FUND MATH 12.00 12 1920 0

36 27 J ENG MECH 11.00 11 1956 0

37 27 TENSOR 11.00 11 1938 0

38 27 P ROYSOCA 11.00 11 1665 0

39 28 I J TH PHYS 10.00 10 1953 0

40 29 PRIKL MEKH 9.00 9 1955 0

41 30

czsc

MATHJ 8.00 8 1951 0

42 30 QAPPL MATH 8.00 8 1943 0

43 30 P LONO MATH 8.00 8 1865 0

44 30 B SEISS AM 8.00 8 1911 0

Vol 43 No 3 September, 1996 93

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A.K. BANDYOPADHYAY

Journal Used In Article$' References file. The ranked list of journals used in these ref- erences (Table 10)are91titles with 222citations in total. Fifteen journals covers about 50 %of these citations.

The articles appended to the theses, if any, were checked and their references collected in ARTREF

Table 10

Ranked list of journals used in mathematics articles' references

SI. Rank Journalname No. of Cumuluative Percentage of Cumulative

no. no. citations no. of total journal percentage

citations citations

1 2 3 4 5 6 7

1 1 P LONO MATH 15 15 6.76 6.76

2 2 FUNOMATH 11 26 4.96 11.71

3 3 PAM MATH S 9 35 4.05 15.77

4 4 TAM MATH S 8 43 3.60 19.37

5 4 J ELAST 8 51 3.60 22.97

6 4 INT J ENG S 8 59 3.60 26.58

7 4 J PHYS JPN 8 67 3.60 30.18

8 5 ROYSOCA 7 74 3.15 33.34

9 5 AMMATHMO 7 81 3.15 36.49

10 6 B CAL MATH SOC 5 86 2.25 38.74

11 6 J APPL MAR 5 91 2.25 40.99

12 6 PACJ MATH 5 96 2.25 43.24

13 6 J MECH PHYS 5 101 2.25 45.50

14 7 J SC ENG RES 4 105 1.80 47.30

15 7 IJ PAMATH 4 109 1.80 49.10

16 8 9Journals 3 136 1.35 61.26

25 9 19Journals 2 174 0.90 78.738

91 10 48Journal 1 222 0.45 100.00

Correlation Study However, when the theses references of only those theses containing article references are The correlation analysis was made based on the considered, the correlation co-efficient is found to

formula: be0.5274. It indicates that the two lists are corre-

n. xy - ( x) ( y) lated although they are not very highly correlated.

r= [1] It shows the difference of result coming out of jour-

[n.x2- {)()2]112.[ n. y2_(y)2]112 nal article reference and theses reference analy- sis. Here, one must note that theses references The correlation co-efficient of all the theses refer- represent more exhaustive picture of scholar's ences and article references is found to be0.5003. journal requirements.

(15)

CITATION ANAL YSIS

OF

DOCTORAL DISSERTATIONS IN MATHEMATICS USING dBASE 111+

The correlation co-efficient of the journals of re- lated thesis references and the journals where Surdwan University (S.U) scholars published their articles is fdund to be 0.2794 . It is strange enough to note that the correlation co-eficient of the ar- ticles' references and the journals where the ar- ticles are published is only 0.0095. This again shows that the theses references give more real picture of scholar's choice of journals. The corre- lation co-efficient of the theses references and the journals that cite the articles of S.U. scholars is found to be only 0.0858.

Journals Where B.U. Scholars Published Their Articles

A ranked list of journals where mathematics ar-

ticles are published by B.U. scholars is given in Table 11. Tables 12, 13 and 14 give the list of jour- nals where articles of pure mathematics, applied mathematics and statistics are published.

On checking the 20 journals where at least two articles have been published, it is found that 9 are of Indian origin. Thirty one out of sixty four articles are published in Indian journals. On comparing Table 1~ with Table 4 it was found that most of the journals where articles have been published were also covered in the reference. However, more than ten journals of Table 11 have got less than 5 refer- ences each in Table 4. Many articles are published in low cited journals, may be to get a quick media for easy publlcation.

Table 11

Ranked list of journals where mathematics articles are published

SI. . Rank Journal name No. of Cumulative Percentage of Cumulative

no. no. citations no. of total journal percentage

citations citations

1 1 IJ PAMATH 12 12 12.90 12.90

2 2 INT J SOIL DEE 4 16 4.30 17.20

3 2 ACT MATH HU 4 20 4.30 21.50

4 2 B CAL MATH

sac

4 24 4.30 25.81

5 2 BURDWAN UNIV J SC 4 28 4.30 30.11

6 2 INT J ENG S 4 32 4.30 34.41

7 3 J PHYSJPN 3 35 3.23 37.63

8 3 PHYS REV A 3 38 3.23 40.86

9 3 REV ~O SC TECH MEC 3 41 3.23 44.09

10 3 IAPORT 3 44 3.23 47.31

11 4 ANAL MATH 2 46 2.15 49.46

12 4 B INST MATH ACAD SIN 2 48 2.15 51.61

13 4 J APPL MECH 2 50 2.15 53.77

14 4 LETT APPL ENG S 2 52 2.15 55.92

15 4 IJMATH 2 54 2.15 58.07

16 4 P I SC CONG ASSOCN 2 56 2.15 60.22

17 4 P I NAT SC ACAD-A 2 58 2.15 62.37

18 4 ACT CIENCIA I 2 60 2.15 64.52

19 4 MATH STUDENT 2 62 2.15 66.67

20 4 MATH SLOVACA 2 64 2.15 68.82

49 5 STAT STUDIES, DACCA 1 93 1.07 100.00

Vo143 No 3 September 1996 95

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A.K. BANDYOPADHYAY

Table 12

Ranked list of journals where pure mathematics articles are published

SI. Rank Journal name No. of Cumulative Percentage of Cumulative

no. no. citations no. of total journal percentage

citations citations

1 1 IJ PA¥ATH 5 5 14.29 14.29

2 2 ACTMATHHU 4 9 11.43 25.71

3 3 MATH SLOVACA 2 11 5.71 31.43

4 3 ANAL MATH 2 13 5.71 37.14

5 3 B CAL MATH SOC 2 15 5.71 42.86

6 3 B INST MATH ACAD SIN 2 17 5.71 48.57

7 3 BURDWAN UNIV J SC 2 19 5.71 54.28

23 4 SCIENTIARUM HU 1 35 2.86 100.00

Table 13

.Ranked list of journals where applied mathematics articles are published

SI. Rank Journal name No. of Cumulative Percentage of Cumulative

no. no. citation no. of total journal percentage

citations citations

1 1 IJPAMATH 7 7 8.70 8.70

1 1 INT J SOIL 0 E E 4 11 15.22 23.91

3 2 INT J ENG S 4 15 8.70 32.61

4 3 J PHYS JPN 3 18 6.52 39.13

5 3 REV RO SC TECH MEC 3 21 6.52 45.65

6 3 PHYS REV A 3 24 6.52 52.17

7 4 BURDWAN UNIV J SC 2 26 4.35 56.52

8 4 J APPL., MECH 2 28 4.35 60.87

9 4 LETT APPL ENG S 2 30 4.35 65.22

25 5 JPHYS B 46 2.17 100.00

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CITA TION ANAL YSIS OF DOCTORAL DISSERTA TIONS IN MA THEMA TICS USING dBASE 11I+

Table 14

Ranked list of journals where statistics articles are published

SI. Rank Journal name No. of Cumulative Percentage of Cumulative

no. no. citations no. of total journal percentage

citations citations

1 1 IAPORT 3 3 27.27 27.27

2 2 P I SC CONG ASSOCN 2 5 18.18 45.45

8 3 STAT STUDIES, DACCA 1 11 9.09 100.00

Who Cites the Articles of B.U. Mathematics Scholars

majority of the journals are of foreign origin. The obvious reason is that the study is based on Sci- ence Citation Index, where the Indian journals are very poorly represented. A majority.of the citations from Phys. Rev. A are actually received by only one author for an article published in Phys. Rev.

itself.

Table 15 shows the ranked list of journals that cite the articles of S.U. mathematics scholars. In comparing the journals that cite the articles pub- lished by the S.U. physics scholars, it is found that

Table 15

Ranked list of journals that cited articles ofB.U. mathematics scholars

SI. Rank Journal name No. of Cumulative Percentage of Cumulative

no. no. citations no. of total journal percentage

citations citations

1 1 PHYS REV A 14 14 35.00 35.00

2 2 IJ PAMATH 4 18 10.00 45.00

3 3 J PHYS S 3 21 7.50 52.50

4 3 CAN J PHYS 3 24 7.50 60.00

5 3 CZEC J PHYS 3 27 7.50 67.50

6 4 INT J ENG S 2 29 5.00 72.50

7 4 ACT MATH HU 2 31 5.00 77.50

8 5 J MATH ANAL 1 32 2.50 80.00

9 5 INT J HEAT 1 33 2.50 82.50

10 5 J APPL MECH 1 34 2.50 85.00

11 5 IEEE REUAS 1 35 2.50 87.50

12 5 COMPUTMATH 1 36 2.50 90.00

13 5 J PHYS JPN 1 37 2.50 92.50

14 5 J SOUND VIS 1 38 2.50 95.00

15 5 JSME 1 39 2.50 97.50

16 5 PHYS REV L 1 40 2.50 100.00

Vol 43 No 3 September 1996 97

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A.K. BANDYOPADHYAY

CONCLUSION

The work of oitation analysis, namely determining the main bibliographic forms used in any litera- ture, ranking of journals, normalised ranking based on corrected citation number according to Sengupta's formula, and correlation study of dif- ferent lists etc. can be done with great ease with the help of the given programmes based on dBASE 111+.The results of citation study based on the- sesreferences differs from that based on journal articles' references. References given in the the- ses represent more exhaustive picture of schol- ars' journal requirements.

Average reference per page of thesis is found to be lowest in pure mathematics (0.34), more in applied mathematics (0.55) and highest in statis- tics (0.61). Journal articles constitute 80% of total literature used in mathematics. To satisfy 80% of journal requirements, 29 journals in statistics, 38 journals in pure mathematics and 64 journals in case of applied mathematics are needed.

ACKNOWLEDGEMENT

The author is greatly indebted to Prof.

M.l.Chakravorty for his valuable suggestions. The

author is also indebted to the Vice Chancellor Prof.

Mohit Bhattacharyya and the Dean of Arts, Prof.

Amit Mallick of Burdwan University for provid- ing required facilities for conducting the study.

REFERENCES

1. GOON (A M) ,GUPTA (M K) and DASGUPTA (B). Basic statistics. 2nd rev.ed. 1978. World Press; Calcutta. Chapt. 9, p.202.

2. INSDOC (New Delhi). National Union Cata- logue of Scientific Serials in India . 1988.

INSDOC ;New Delhi. 4v.

3. SCIENCE CITATION INDEX, 1985 - 1989 Cummulation: source publications.

ISI;Philadelphia.

4. SENGUPTA (I N). Bibliometric research:

growth of biomedical research. 1988. SBA Pubs; Calcutta. V.1, Chapt. 7.

5. Opeit4. Chapt. 9.

6. ULRICH'S INTERNATIONAL PERIODICALS DIRECTORY,1989-90. 1989. R.R.Bowker ; New York. 3v.

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CITATION ANAL YSIS

OF

DOCTORAL DISSERTA TlONS IN MATHEMA TICS USING dBASE 11I+

APPENDIX I

STRUCTURE OF DATABASES

DATABASE NAME: THREF.DBF

Field Field Name Type Width

1 REFCODE C 5

2 REFTP C 2

3 REFYR N 4

4 NOREFAUTH N 2

5 JLNAME C 20

6 FPAGE C 4

7 SELFCIT N 1

8 THYR N 4

9 CITNO N 1

10 SUBJECT C 2

DATABASE NAME: ARTREF.DBF

Field Field Name Type Width

1 REFCODE C 5

2 ARTNO N 2

3 REFTP C 2

4 REFYR N 4

5 NOREFAUTH N 2

6 JLNAME C 20

7 FPAGE C 4

8 ARTYR N 4

DATABASE NAME: THES.DBF

Field Field Name Type Width

1 REFCODE C 5

2 ACCN C 5

3 FNAME C 15

4 SNAME C 15

5 THYR N 4

6 THT C 150

7 GDN1 C 20

8 GDN2 C 20

9 NPG N 4

10 NOART N 2

11 SUBJECT C 2

contd.

Vo143 No 3 September1996 99

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A.K. BANDYOPADHYAY

STRUCTURE OF DATABASES

DATABASE NAME: THART.DBF

Field Field Name Type Width

1 REFCODE C 5

2 ARTNO N 2

3 DOCTP C 2

4 AUTHNO N 2

5 AUTH1 C 20

6 AUTH2 C 20

7 ART C 150

8 JLNAME C 20

9 ARTYR N 4

10 VOL C 4

11 ISSUE C 4

12 FPAGE N 4

13 LPAGE N 4

14 REFNO N 2

DATABASE NAME: CITREF.DBF

Field Field Name Type Width

1 REFCODE C 5

2 ARTNO N 2

3 CITTP C 2

4 CAUTH C 20

5 JLNAME C 20

6 REFYR N 4

7 FPAGE C 4

8 ARTYR N 4

DATABASE NAME: TEST.DBF

Field Field Name Type Width

1 JLNAME C 20

2 CITNO N 4

contd.

APPENDIX I(con tn.)

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CITATION ANAL YSIS OFDOCTORAL DISSERTATIONS IN MATHEMATICS USING dBASE 11I+

APPENDIX I(contn.)

STRUCTURE OF DATABASES

DATABASE NAME: RJLlST.DBF

Field Field Name Type Width Dee

1 SLNO N 4

2 RANKNO N 3

3 JLNAME C 20

4 CITNO N 4

5 CUMUL_NO N 4

6 PERCENT N 6 3

7 CUM-PERCEN N 6 3

DATABASE NAME: NJLlST.DBF

Field Field Name Type Width Dee

1 SLNO N 4

2 RANKNO N 3

3 JLNAME C 20

4 CITNO N 4

5 NCITNO N 6 3

6 CUMUL_NO N

.

4

7 PERCENT N 6 3

8 CUM-PERCEN N 6 3

9 SYR N 4

10 EYR N 4

DATABASE NAME: COR.DBF

1 2 3

JLNAME CITNO CIT2

C 20

N 3

N 3

Field Field Name Type Width

Vol43 No 3 September1996 101

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A.K. BANDYOPADHYAY

APPEND/XII

PROGRAMMES USED FOR THE STUDY

Appendix 11.1 11.1: PROG. 1

·BIBLIO.PRG

'PROGRAMME FOR BIBLIOMETRIC ANALYSIS SET STATUS OFF

ACCEPT'ENTER DATA BASE NAME ON WHICH TO WORK:' TO FILENAME USE &FILENAME

CHOICE=O

DO WHILE CHOICE<7 CLEAR

TEXT

MENU FOR BIBLIOMETRIC ANALYSIS

"YOUR CHOICE IS "

1. ADD NEW ENTRIES 2. EDIT ENTRIES

3. FIND BIBLIOGRAPHIC FORMS USED 4. FIND RANKED LIST OF JOURNALS USED

(Two blank files named TEST.DBF and RJLlST.DBF as shown in the

Appendix should be in the working disk for running the programme.)

5. FIND NORMALISED RANKED LIST FOLLOWING SENGUPTA'S CORRECTED CITATION NO.

[ Require JLlST.DBF giving joumals'name, year of start (SYR) and year of closing (EYR); and a blank file NJLlST.DBF (see Appendix)

6. FIND'CORRELATION BETWEEN TWO JOURNAL'S LISTS [Require the blank file COR.DBF with fileds JLNAME C 20; CITNO N 4; OIT2 N 4)

7. EXIT THE DATA BASE ENDTEXT

@23,26 SAY'ENTER YOUR CHOICE (1 -7)' GET CHOICE PICT"9" RANGE 1,7 READ

DO CASE CASE CHOICE =1 APPEND CLOSE DATA CASE CHOICE =2 EDIT

CLOSE DATA CASE CHOICE =3 DO DOCTYPE CASE CHOICE =4 DO RANKING CASE CHOICE =5 DO NORMCIT CASE CHOICE =6 DOCORR CASE CHOICE =7 CLOSE DATA ENDCASE ENDDO CLEAR ALL SET STATUS ON RETURN

Appendix 11.2 ,PROG.2 'DOCTYPE.PRG

"PROGRAMME FOR FINDING BIBLIOGRAPHIC FORMS USED IN THE REFERENCES contd.

(23)

CITATION ANAL YSISOFDOCTORAL DISSERTATIONS IN MATHEMATICS USING dBASE 11I+

APPENDIX /I (contn.)

CLEAR

ACCEPT 'DATA BASE NAME? 'TO FILENAME USE &FILENAME

GO

Bon

STORE RECNOO TO Y GO TOP

COUNT FOR REFTP ='b' TO Me COUNT FOR REFTP ='c' TO MC COUNT FOR REFTP ='j' TO MJ COUNT FOR REFTP = 'I' TO ML COUNT FOR REFTP = 'm' TO MM COUNT FOR REFTP ='r' TO MR COUNT FOR REFTP ='5' TO MS COUNT FOR REFTP = 'I ' TO MT COUNT FOR REFTP = 'ta' TO MTA COUNT FOR REFTP ='un' TO MUN X=100N

SET TALK OFF

SET ALTERNAT TO &FILENAMe SET ALTERNAT ON

CLEAR

@12,1 SAY 'FIND A LIST OF BIBLIOGRAPHIC FORMS USED'

@13,3 SAY 'UNDER A .TXT FILE NAMED AFTER &FILENAME'

@16,1 SAY 'IF PRINTOUT NEEDED MAKE PRINTER READY, SAY"Y" AND PRESS ENTER'

?

?

ACCEPT 'IS PRINT OUT NEEDED? (Y/N) - 'TO YN IF UPPER(YN)='Y'

SET PRINT ON ENDIF CLEAR

@12,3 SAY 'A LIST OF BIBLIOGRAPHIC FORMS USED FOLLOWS' WAIT

CLEAR

?'. TABLE NO.'

TTYPE OF DOCUMENTS USED IN THESES REFERENCES OF

?

?' FORM NO. OF CITATION PERCENTAGE'

?

?'BOOKS,MONOGRAPHS ETC. ',MB,MB*X

?

?'JOURNALS

?

',MJ,MJ*X

?'REPORTS ',MR,MR*X

?

TCONFERENCE/SEMINAR ETC. ',MC,MC*X

?

?'THESIS ',MT,MT*X

?

?'STANDARD ',MS,MS*X

?

?'TABLE ',MTA,MTA*X

?

TUNPUBLISHED ',MUN,MUN'X

?

?'LECTURE NOTES ',ML,ML*X

? .

TOTHERS ',MM,MM*X

?"

?'TOTAL ',M M+ML+MUN+MB+M C+MS+MT +MTA+MJ+MR,(

MM+ML+MS+MTA+MU N+MB+MC+MJ+MR+MT)*X WAIT

SET ALTERNATOFF IF UPPER(YN)='Y' SET PRINT OFF ENDIF SET TALK ON CLEAR RETURN

contd.

Vol 43 No 3 September 1996 103

(24)

A.K. BANDYOPADHYAY

APPENDIX II (contn.) Appendix 11.3

'PROG.3

"RANKING.PRG

"PROGRAMME FOR PREPARING RANKED LIST OF JOURNALS CLEAR

ACCEPT 'DATABASE NAME?' TO FILENAME USE TEST

APPEND FROM &FILENAME F.:OR JLNAME>

INDEX ON JLNAME TO TEST TOTAL ON JLNAME TO TMJLlST USE TMJLlST

SORT ON CITNOID TO MJLlST USE MJLlST

PUBLIC X SUMTOX USE RJLlST

COpy STRU TO &FILENAME.R USE &FILENAME.R

APPE FROM MJLlST USE &FILENAME.R

"PREPARING RANKED LIST STORE 0 TO CNO , CPNO, NO, RNO STORE 10000 TO MCITNO

SETDECI TO 2 DO WHILE .NOT. EOF() NO=NO+l

IF MCITNO>CITNO RNO=RNO+l ENDIF

STORE CITNO TO MCITNO REPL SLNO WITH NO REPL RANKNO WITH RNO

REPL CUMUL_NO WITH CNO+MCITNO STORE CUMUl_NO TO CNO REPL PERCENT WITH MCITNO'l00f)(

REPL CUM_PERCEN WITH CPNO+PERCENT STORE CUM_PERCEN TO CPNO

SKIP ENDDO CLEAR

@12,1 say 'FIND A RANKED LIST OF JOURNALS IN A .TXT FILE &FILENAME.R' WAIT

CLEAR

@10,5 SAY.'THE RANKED LIST FOLLOWES' WAIT

CLEAR

USE &FILENAME.R DISP ALL WAIT CLEAR USE TEST

@ 15,5 say "Type yon reply to zap ...(yln)"

?

? ZAP

CLOSE DATABASES ERASE TEST.NDX ERASE TMJLlST.DBF ERASE MJLlST.DBF CLEAR

RETURN

Appendix 11.4

, PROG.4

"PROGRAMME FOR PREPARING NORMALISED CITATION NO BY SENGUPTA'S FORMULA

·'NORMCIT.PRG CLEAR

ACCEPT 'ORIGINAL REFERENCE FILE NAME (WITHIN 6 LETTERS)? -'TO FILENAME contd.

(25)

CITA TION ANAL YSIS

OF

DOCTORAL DISSERTA TIONS IN MA THEMA TICS USING dBASE 11I+

APPENDIX II

(con tn.)

USE &FILENAME

COPY TO &FILENAME.6 FOR REFYR>=1961 USE TEST

APPEND FROM &FILENAME.6 INDEX ON JLNAME TO TEST TOTAL ON JLNAME TO TMJLlST USE TMJLlST

SORT ON CITNOID TO MJLlST USE MJLIST

ERASE TMJLlST.DBF DELE FOR JLNAME=' , PACK

USE TEST CLEAR

015,5 SAY "TYPE 'Y' ON REPLY TO ZAP ... (Y/N)"

? ZAP

?

CLOSE DATABASES CLEAR

"NOTING SYR AND EYR OF JOURNALS FROM JLlST USE NJLlST

COPY STRU TO &FILENAME.6N USE

USE &FILENAME.6N APPE FROM MJLlST USE JLlST

INDEX ON JLNAME TO JLlST USE

SELECT 1 USE &FILENAME.6N SELECT 2

USE JLIST INDEX JUST SELECT

SET RELATION TO JLNAME IN,TO JLlST '.

DO WHILE .NOT. EOF() REPLACE SYR WITH B->SYR REPLACE EYR WITH B->EYR SKIP

ENDDO USE

'PREARING NCITNO USE &FILENAME.6N DO WHILE .NOT. EOF() C=CITNO

DO CASE CASE SYR<1961 STORE 1961 TO SY CASE SYR>=1961 STORE SYR TO SY ENDCASE

DO CASE CASE EYR=O STORE 1990 TO EY CASE EYR>=1 STORE EYR TO EY ENDCASE

N=(1 +EY -SY) DO CASE CASE SYR<1981 STORE 1981 TO S1Y OTHERWISE STORE SYR TO S1Y ENDCASE

STORE (EY-S1Y+1) TO N1 DO CASE

CASE EYR<1981 C1=C'(301N) CASE EYR>=1981 C1~'(300/(N"N1))

ENDCASE

REPLACE NCITNO WITH C1 SKIP

ENDDO

"PREPARING NORMALISED RANKED LIST USE &FILENAME.6N

SORT ON NCITNOID TO SJLlST USE SJlIST

PUBLIC X SUM NCITNO TO X USE &FILENAME.6N

COPY STRU TO &FILENAME.NR USE &FILENAME.NR . APPE FROM SJLlST USE &FILENAME.NR

,. PREPARING RANKED LIST STORE 0 TO CNO , CPNO, NO, RNO STORE 10000 TO MCITNO

SETDECIT02

DO WHILE .NOT. EOFO NO=NO+1

IF MCITNO>NCITNO RNO=RNO+1 ENDIF

STORE NCITNO TO MCITNO REPL SLNO WITH NO REPL RANKNO WITH RNO

REPL CUMUL_NO WITH CNO+MCITNO STORE CUMUL_NO TO CNO REPL PERCENT WITH MCITNO'1001X REPL CUM_PERCEN WITH CPNO+PERCENT STORE CUM_PERCEN TO CPNO

SKIP ENDDO close data ERASE MJLlST.DBF ERASE SJlIST.DBF ERASE TEST.NDX ERASE SJLlST.DBF SELECT 2 ERASE JLlST.ndx CLEAR

@12,3 SAY 'FIND A NORMALISED RANKED LIST OF JOURNALS'

@13,5 SAY 'IN A.DBF FILE NAMED AFTER &FILENAME.NR'

? WAIT CLEAR

@10,5 SAY 'THE NORMALISED RANKED LIST FOLLOWES'

?

@12,5SAY"TOAVOID GIVING 2ND AND LATER PAGES OF THE LIST"

@13,5 SAY "PRESS 'ESC' AND THEN PRESS 'C'"

? WAIT CLEAR

USE &FILENAME.NR DISP

ALL RANKNO,JLNAME,CITNO,NCITNO,CUM_PERCEN,SYR,EYR WAIT

CLEAR

CLOSE DATABASES CLEAR

RETURN

Appendl:: 11.5

• PROG. 5

"PROGRAMME FOR FINDING CORRELATION COEFFICIENT

"CORR.PRG

contd.

Vol43 No 3 September 1996 105

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A.K.BANDYOPADHYAY

APPENDIX II (con tn.)

CLEAR

012.2 SAY 'GIVE THE NAME OF THE TWO FILES CONTAINING' 013.4 SAY 'THE JOURNAL LISTS TO BE COMPARED.'

?

ACCEPT 'FIRST SOURCE.FILE NAME? ' TO FILE1

?

ACCEPT 'SECOND SOURCE FILE NAME? ' TO FILE2

?

ACCEPT 'TARGET FILE NAME? (GIVE ANY NAME OF 7 LETTERS MAXIMUM)' TO FILE3

? USE COR

COpy STRU TO &FILE3 COpy STRU TO &FILE3.X USE &FILE3

APPEND FROM &FILE1 FOR JLNAME>' , USE&FILE3

REPLACE ALL CITNO WITH 0 REPLACE ALL CIT2 WITH 1 USE &FILE3.X

APPEND FROM &FILE2 FOR JLNAME>' , USE &FILE3.X

REPLACE ALL CITNO WITH 1 USE &FILE3

APPEND FROM &FILE3.X USE&FILE3

INDEX ON JLNAME TO &FILE3 USE &FILE3 INDEX &FILE3 TOTAL ON JLNAME TO &FILE3.T USE &FILE3.T

GOBOTT

STORE RECNO() TO N SUM CITNO TO SX SUM CIT2 TO SY SUM (CITNO)"'2 TO SX2 SUM (CIT2)""2 TO SY2 SUM (CITNO)"(CIT2)TO SXY

R=(N"SXY·SX"SY)/«N·SX2·SX"·2)""(1/2)"(N·SY2-SY""2)""(1/2»

CLEAR

012.5 SAY 'NOTE DOWN THE CORRELATION COEFFICIENT OF THE TWO LISTS' 014.5 SAY 'CORRELATION COEFFICIENT: R ='

??R

016,1 SAY 'FIND ALL THE JOURNALS AND THERE OCCURRANCE NO.lN THE TWO LISTS IN A .DBF FILE NAMED &FILE3.r

? WAIT CLEAR RETURN

(27)

CITA TION ANAL YSIS

OF

DOCTORAL DISSERTA TIONS IN MA THEMA TICS USING dBASE 111+

APPENDIX 111

SOFTWARE DETAILS &HANDLING/INVOKING THE SOFTWARE

The software is to be invoked by the command .00 BIBLIO (See Prog.1)

This will ask to enter the data base name on which towork.

On typing the data base name THREF, amenu with seven alternative choices will appear on the screen. Pressing the number attached against the choice will invoke the relevant programme. Required files should be present on the default disk.

Bibliographic Forms

For grouping the references according to their bibliographic forms, '3' is to be pressed from the opening menu. The DOCTYPE.PRG programme (Appendix 11.2)is used for the purpose. It gives the total number and percentage of the distribution of references of different bibliographic forms used. The programme is made flexible by using the macro variable '&filename'. On running the programme, it will ask for the' data base name? 'to be processed.

On typing the database name 'THREF' and pressing 'Enter' Key it will work on that file and give the output on the screen and also in a text file named thref.txt .This .txt file may be further edited through any word processor like Word Star.Jt desired. In case, a direct print out is desired, after making the printer ready, 'y'is to be pressed when the screen displays 'IS PRINT OUT NEEDED? (Y/N)-'

For making the study with subject groups like pure and applied mathematics and statistics, and also period groups of theses (1981-85 and 1986- 90),the THREF.OBF file was divided into subject wise parts ofMAREF.DBF,MPREF.DBF and MSREF.OBF having references of applied and pure mathematics and statistics with the help of commands like. USE THREF or COpy TO MAREF FOR SUBJECT ='ma' etc.

The references were also divided into groups of year of submission (thyr) of theses from 1981 - 1985 and 1986 - 1990 in THREF85.0BF and THREF90.0BF with the commands:

.USE THREF

.COPY TO THREF85 FOR THYR<1986 .COPY TO THREF90 FOR THYR>1985

Ranking of Journals

For preparing ranked list of journals used in the references '4' is to be pressed from the opening menu. The RANKING.PRG programme (Appendix 11.3) is used for the purpose. Two blank data base structures TEST.OBF and RJLlST.OBF as shown in the Appendix are to be in default disk while running the programme. On running the programme, it will ask for the data base name to wrok with. On typing the data base name, say 'thref', it will process the THREF.DBF file and prepare another data base named THREFR.DBF giving the ranked list of journals with columns like SLNO RANKNO JLNAME CITNO CUMUL_NO PERCENT CUM_PERCEN.

A print out of this ranked listcan be taken with the command:

.USE THREFR.OBF .LIST OFF TO PRINT

One may have a better list with the help of a predefined REPORT FORM with headings etc.through the commands .USE THREFR

.CREA REPO JLLlST

and then defining the desired output format andsubsequently, running the command like .USE THREFR .REPORT FORM JLLlST TO PRINT One may have a disk copy of this list as a text file also to merge it with some text or to edit it , by REPORT FORM JLUST TO THREFR. Ranked List for References Back up to "i61

A short list of references back upto 1961 was prepared with the help of the command

.USE THREF .COPY TO THREF61 FOR REFYR>=1961.

Then, using the ranking programme, the ranked list THREF61 R was prepared for journals back upto 1961.

Sengupta's weightage fprmula and its programme

For getting the' normalised ranked list of journals with corrected citation number of each journal, 5 is to be pressed from the opening menu. The NORMCIT.PRG programme (Appendix 11.4) is used for the purpose. Year of starting (SYR), and year of closing (EYR) of each journal were noted in a file JUST.DBF (Appendix) consulting Ref 2 and 6.When, the NORMCIT.PRG programme (Appendix 11.4)is run on a file to get a ranked list of journals according to their normalised citation numbers, the JUST.OBF file andthe blank structure of NJUST.OBF (Appendix) should be present in the default disk.

The normalised citation number is named 'ncitno' to distinguish It from 'citno'. The programme was run on THREF,OBF file, CORRELATION STUOYThe correlation analysis was made based on the formula mentioned in the text

For doing correlation study between any two journal lists, '6'is to be pressed from the opening mem"',e ~(jHn.pn.:;(Appendix 11.5) programme is used for the purpose, A blank file named COR.OBF as shown in Appendix should beI."~.;ent in the working disk while running the programme, The CITNOs of the first journal list will be renamed as CIT2 and those ofthe 2nd jou,'1al list will remain as CITNO. Then, the correlation coefficient of CfTNO and CIT2 (number ofoccurrance of the titles inIn:,h·yO listo; references) is calculated. with the help of the

CORR.PRG programme

Vol 43 No 3 September 1996 107

References

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