Page 17 - Special Topic Session (STS) - Volume 2

STS451 Yuji M.
inequality. In other words, it is a method to correct the significance level by
the number of connections between fields.
Since there are 23 research fields, there are 253 combinations between
fields if there is no direction for connection. In this paper, 276 combinations
are conducted, including 23 connections between the same fields. The
connection between the same fields is used as the number of papers in the
field.
The method of multiple comparison between organizations of MM-Index
is shown. Formula 1 is the number of cross-disciplinary links with different
dominance of ratios between organizations at significance level 0.05. The
mining of the smaller value of RNSD is that the structure of the comparative
organizations are resembles. In this formula, the maximum number of
connections is calculated from the number of researchers in each specialized
field, and convert the actual number of connections into a ratio.

RNSD a,b = 2 , = 2 , …………………………………………………............... (1)
2
( − +) +
2
RNSD a,b : Ratio of significant differences between and
: Organization
: Organization
, : Significant differences between and
: Number of research fields (In our case, it is 23.)

: Research field

: Research field

(, , , ): Test result between and (Research fields) of between and

(Organizations)
: Bonferroni’s Significance level

= 2 = 2 2 ………………………………………………………………………….....

( − +) +
2
(3)
: Significance level (In our case, it is 0.05)
(, , , ) = prop. test( (, , ) , (, , ) ) ……………………………….. (4)

(, )(, ) (, )(, )
: Number of links (Organization, Research field, Research field)
: Number of articles/researchers (Organization, Research field)

4. Data source
The big data related article data from 2016 is utilized, which included 2544
articles from top 10 countries/regions by using the dissertation database Web

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