Table 2
Average dipolar and quadrupolar moments for the different samples.
| Sample | Moment | Observed | Expecteda | Discrepancy | Expected interval (MC)b | |
| (sky pix.; ± 1σ) | (σ) | (1σ) | (2σ) | |||
|
|
||||||
| S1 | ⟨ cosbcosl ⟩ | −0.010 | −0.010 ± 0.043 | 0.0 | −0.050, + 0.031 | −0.091, + 0.072 |
| S1 | ⟨ sinb ⟩ | 0.028 | 0.022 ± 0.043 | +0.1 | −0.018, + 0.064 | −0.061, + 0.105 |
| S1 | ⟨ sinδ ⟩ | 0.065 | 0.035 ± 0.043 | +0.7 | −0.012, + 0.074 | −0.052, + 0.120 |
| S1 | ⟨ sin2b−1/3 ⟩ | −0.009 | 0.014 ± 0.022 | −1.0 | −0.009, + 0.035 | −0.030, + 0.057 |
| S1 | ⟨ sin2δ−1/3 ⟩ | 0.074 | 0.039 ± 0.022 | +1.5 | +0.016, + 0.062 | −0.005, + 0.085 |
|
|
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| S2 | ⟨ cosbcosl ⟩ | −0.005 | −0.010 ± 0.053 | +0.1 | −0.063, + 0.036 | −0.108, + 0.081 |
| S2 | ⟨ sinb ⟩ | 0.097 | 0.022 ± 0.053 | +1.4 | −0.030, + 0.075 | −0.089, + 0.125 |
| S2 | ⟨ sinδ ⟩ | 0.070 | 0.035 ± 0.053 | +0.7 | −0.018, + 0.086 | −0.072, + 0.141 |
| S2 | ⟨ sin2b−1/3 ⟩ | −0.063 | 0.014 ± 0.027 | −2.8 | −0.012, + 0.043 | −0.036, + 0.072 |
| S2 | ⟨ sin2δ−1/3 ⟩ | 0.103 | 0.039 ± 0.027 | +2.3 | +0.011, + 0.068 | −0.016, + 0.098 |
|
|
||||||
| S2c | ⟨ cosbcosl ⟩ | −0.005 | 0.017 ± 0.053 | −0.4 | −0.036, + 0.066 | −0.080, + 0.123 |
| S2c | ⟨ sinb ⟩ | 0.097 | −0.008 ± 0.053 | +2.0 | −0.057, + 0.043 | −0.108, + 0.096 |
| S2c | ⟨ sinδ ⟩ | 0.070 | −0.022 ± 0.053 | +1.7 | −0.079, + 0.034 | −0.130, + 0.085 |
| S2c | ⟨ sin2b−1/3 ⟩ | −0.063 | −0.013 ± 0.027 | −1.8 | −0.042, + 0.015 | −0.069, + 0.045 |
| S2c | ⟨ sin2δ−1/3 ⟩ | 0.103 | 0.056 ± 0.027 | +1.7 | +0.031, + 0.086 | −0.001, + 0.114 |
|
|
||||||
| S3 | ⟨ cosbcosl ⟩ | −0.005 | −0.010 ± 0.068 | +0.1 | −0.080, + 0.059 | −0.148, + 0.117 |
| S3 | ⟨ sinb ⟩ | 0.111 | 0.022 ± 0.068 | +1.3 | −0.046, + 0.088 | −0.109, + 0.165 |
| S3 | ⟨ sinδ ⟩ | 0.097 | 0.035 ± 0.068 | +0.9 | −0.038, + 0.106 | −0.109, + 0.171 |
| S3 | ⟨ sin2b−1/3 ⟩ | −0.032 | 0.014 ± 0.035 | −1.3 | −0.025, + 0.048 | −0.059, + 0.083 |
| S3 | ⟨ sin2δ−1/3 ⟩ | 0.102 | 0.039 ± 0.035 | +1.8 | +0.004, + 0.078 | −0.030, + 0.121 |
|
|
||||||
| SnFnZ | ⟨ cosbcosl ⟩ | 0.036 | −0.010 ± 0.026 | +1.8 | − | − |
| SnFnZ | ⟨ sinb ⟩ | 0.011 | 0.022 ± 0.026 | 0.0 | − | − |
| SnFnZ | ⟨ sinδ ⟩ | 0.040 | 0.035 ± 0.026 | +2.0 | − | − |
| SnFnZ | ⟨ sin2b−1/3 ⟩ | −0.014 | 0.014 ± 0.013 | −2.1 | − | − |
| SnFnZ | ⟨ sin2δ−1/3 ⟩ | 0.046 | 0.039 ± 0.013 | +0.5 | − | − |
|
|
||||||
| STot | ⟨ cosbcosl ⟩ | 0.014 | −0.010 ± 0.019 | +1.2 | − | − |
| STot | ⟨ sinb ⟩ | 0.011 | 0.022 ± 0.019 | −0.6 | − | − |
| STot | ⟨ sinδ ⟩ | 0.040 | 0.035 ± 0.019 | +0.2 | − | − |
| STot | ⟨ sin2b−1/3 ⟩ | 0.017 | 0.014 ± 0.010 | +0.4 | − | − |
| STot | ⟨ sin2δ−1/3 ⟩ | 0.037 | 0.039 ± 0.010 | −0.2 | − | − |
Notes. The real value moments are reported and associated with the values obtained from the sky pixelisation method, along with their discrepancies in σ units. The last two columns report the MC 1σ and 2σ (Gaussian-equivalent) confidence intervals.
Estimated through the sky pixelisation (method 2) in the Gaussian limit ensured by the central limit theorem.
S2 is compared with expectations that modelled observational biases connected with the redshift measurement (Sect. 4.4).
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