Rotation-activity relations and flares of M dwarfs with K2 long- and short-cadence data

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Table 3

Results of the T-tests for the amplitude of rotation modulation and standard deviation of the full LC of slow and fast rotators.

Parameter	Mean value (P_rot < 10 d)	Mean value (P_rot ≥ 10 d)	T-statistic	p-value
R_per	2.2 ± 1.1%	0.8 ± 0.6%	5.1	6.2 × 10⁻⁶
S_ph	18531 ± 9466 ppm	4518 ± 3867 ppm	7.2	5.8 × 10⁻⁹

R_{per, >0.52%}	2.2 ± 1.1%	1.2 ± 0.6%	3.7	8.5 × 10⁻⁴
S_{ph, >2600 ppm}	18531 ± 9466 ppm	5378 ± 4088 ppm	6.0	6.8 × 10⁻⁷

Notes. The top half of the table shows the full sample. The bottom half includes only stars with values higher than the value that corresponds to the average S_flat of the fast-rotating M dwarfs.

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