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. 2024 Feb 8;14:3263. doi: 10.1038/s41598-024-53657-1

Table 2.

Discrete power-law exponents for the frequency distribution of hashtags, fitted by the max-likelihood method for each event, and for the two ways of defining the time periods.

Level Dataset Same time: exp. (error) Same n hasht. usages: exp. (error)
Before During Sign. Before During Sign.
Hasht Noaltarifazo/ruidazonac.. 1.957 (11) 1.943 (11) 1.955 (11) 1.943 (11)
9n/9ngranmarchaporlaj.. 1.822 (11) 1.760 (10) 1.818 (9) 1.760 (10)
15m 1.960 (46) 1.825 (23) 1.793 (20) 1.825 (23)
Charlie Hebdo 2.036 (16) 1.988 (14) 2.054 (13) 1.988 (14)
User Noaltarifazo/ruidazonac.. 1.994 (12) 1.989 (11) 1.989 (12) 1.989 (11)
9n/9ngranmarchaporlaj.. 1.788 (10) 1.758 (10) 1.822 (9) 1.758 (10)
15m 2.125 (54) 1.870 (24) 1.840 (20) 1.870 (24)
Charlie Hebdo 2.052 (16) 1.974 (14) 2.028 (13) 1.974 (14)

Standard errors are reported in parenthesis in units of the least significant digit. We show results by counting the hashtags every time a user posted it (“Hasht”, above), and only once (“User”, below), irrespective of how many times it was used by the same user. The xmin parameters were also fitted by max-likelihood and lie in the interval [1, 4]. All power-law fits passed the Kolmogorov-Smirnov goodness-of-fit test at p=0.05. The significance columns (“Sign”) represent the significance level at which we can reject the hypothesis that the “before” and “during” samples come from the same distribution (Epps-Singleton test 23), thus denoting that there is a change of regime during the event (:0.05,:0.01,:0.001).