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Table 2

Comparison of the physical properties between our ALMA detected AzTEC SMGs and the equally bright ALESS SMGs.

Parametera Value

SFR AzTEC / SFR ALESS b

t-test resultsc

M t = 2.12, p = 0.04
L dust t = 1.00, p = 0.32
SFR t = 0.53b, p = 0.59b
T dust t = −1.15, p = 0.25
M dust t = 2.74, p = 0.007

K-S test resultsd

M DKS = 0.15, p = 0.22
L dust DKS = 0.12, p = 0.48
SFR DKS = 0.17b, p = 0.13b
T dust DKS = 0.22, p = 0.02
M dust DKS = 0.26, p = 0.003

Notes.

(a)

The ratio between the sample medians, where the error bars were calculated from the corresponding 16th and 84th percentiles.

(b)

The comparison was done between the MAGPHYS output values averaged over 10 Myr.

(c)

Results from a two-sided Welch’s t-test between the two sets of physical properties. The t-statistic tests whether the sample mean values are different, and the corresponding p-value gives the probability for the null hypothesis that the samples have identical mean values.

(d)

Results from a two-sided K-S test between the two sets of physical properties. The maximum distance between the two cumulative distribution functions is given by the K-S test statistic DKS, while the corresponding p-value describes the probability that the two data sets are drawn from the same underlying parent distribution.

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