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. 2021 Mar 4;26(4):4401–4431. doi: 10.1007/s10639-021-10457-8

Table 15.

K-S test on observed and expected distribution of authors

x y yx/ ∑ yx ∑(yx/ ∑ yx) 1/xn fe = C(1/xn) fe Dmax
1 3132 0.19611 0.19611 1.00000 0.75000 0.75000 (0.55389)
2 340 0.04258 0.23868 0.17592 0.13194 0.88194 (0.64326)
3 65 0.01221 0.25089 0.06366 0.04774 0.92968 (0.67879)
4 28 0.00701 0.25790 0.03095 0.02321 0.95290 (0.69499)
5 14 0.00438 0.26229 0.01769 0.01327 0.96616 (0.70387)
6 7 0.00263 0.26492 0.01120 0.00840 0.97456 (0.70964)
7 2 0.00088 0.26579 0.00761 0.00571 0.98027 (0.71447)
8 1 0.00050 0.26630 0.00544 0.00408 0.98435 (0.71806)
9 1 0.00056 0.26686 0.00405 0.00304 0.98739 (0.72053)
12 1 0.00075 0.26761 0.00197 0.00148 0.98887 (0.72126)
13 1 0.00081 0.26842 0.00161 0.00121 0.99008 (0.72165)
17 1 0.00106 0.26949 0.00082 0.00062 0.99069 (0.72121)

n 2.507, c 0.75, Dmax 0.0031, x Frequency of papers, yx Relative frequency of authors with X research papers, yx/ ∑ yx Fraction of observed number of authors, ∑(yx/ ∑ yx) Cumulative fraction of observed number of authors, fe = C(1/xn) Fraction of expected number of authors, ∑fe Cumulative of the theoretical value of authors, Dmax Difference between the observed and expected cumulative value of authors