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For the three types of noises (Gaussian, salt and pepper, and speckle), we can observe that the proposed method is fairly robust against noises with medium variances, whereas for high variance noises the method presents acceptable performance since the BCR values is greater than 93%% for the majority of experiments.

Analysis of the experimental data proceeded with the comparison of the fit of the local Zero-Sum-Multinomial (lZSM) and meta Zero-Sum-Multinomial (mZSM) distributions to the Control, low-variance (LV), medium-variance (MV) and high-variance (HV) conditions, separately.

However, the medium-variance case overestimates τ2 somewhat (estimated value is around 0.7, whereas the true value is 0.5).

In the realistic medium-variance case, the lines cross around pcut = 0.2 for the M8 scenario, and pcut = 0.4 for the M20 case (not shown).

The false-positive and false-negative curves cross at pcut = 0.2 for both M8 and M20 (not shown) scenarios in the medium-variance case.

Comparison between the medium-variance box plots (blue) and the high-variance box plots (red) for the modified areas shows that the model captures well the increased variability of the space time interactions, irrespective of the number of modified areas.

We consider three different cases for the amount of noise: a reference case with no noise (ω = 0), a medium-variance scenario with a medium amount of noise [ω = (0.5)], and a high-variance scenario with a high level of noise [ω = (1.5)].

Fig. 4 The spectra of the magnetic fluctuations observed on March 8 , 2008 for the periods selected from Fig. 3. Curves are for the magnetic components of maximum (gray) and medium (black) variances, respectively.

b Ratio between amplitude level variance for medium model A (acoustic medium) and medium model B (elastic medium).

The influence of 0.1% BSA was evaluated by two-way analysis of variance (medium, subject) followed by Dunnett's test.

With an anticipated sample size of 320 Māori adolescents (our smallest subgroup comparison), the corresponding detectable effect size will be 7% of the explained outcome variance (medium effect size).

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