Table 3: The probability of a false rejection of the null hypothesis that the sample and the reference populations have equal means, according to the Single-Sample Sign test $S_{\rm {s}}$, the t-test $S_{\rm {t}}$ and the Wilcoxon Rank Sum test $S_{\rm {W}}$. The corresponding values of a, t and z are given in brackets.
  minimum mid-decl maximum
daily $R_{\rm {g}}$ $10\pm12.3$ $55\pm34$ $115\pm 48$
$S_{\rm {s}}\ (a)$ 0.85 (0.18) 0.05 (-2) 0.03 (-2.3)
$S_{\rm {t}}\ (t)$ 0.16 (1.5) $0.0043\ (-3.4)$ $10^{-6}\ (-8.6)$
$S_{\rm {W}}\ (z)$ 0.28 (-0.58) $3\cdot 10^{-5}$ (4) 0 (5.7)
monthly $R_{\rm {g}}$ $10\pm8.3$ $55\pm27$ $115\pm 39$
$S_{\rm {t}}\ (t)$ 0.03 (2.6) 10-10 (-14) 0.0 (-27)
$S_{\rm {W}}\ (z)$ 0.18 (0.88) 10-5 (4.2) 0.0 (5.7)


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