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The results regarding the endogeneity test itself in Table 9 suggest that the null hypothesis of no correlation between the random components of the error terms cannot be rejected for either model.
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The random components measure the degree to which the random slopes and random intercept vary across prefectures.
The random components are independent and identically distributed random variables, and the deterministic component varies linearly with the distance to a reference sequence.
Note that if the random components are not independent, one needs to account for the correlation structure between these random components.
The key issue is estimating the required variance from each of the random components.
The coefficient of variation (CV), which takes into account the population sizes being worked with, divides the standard deviation of the rates by the average rate and the systematic component of variation (SCV) measures the relative systematic component of variation in rates between regions by subtracting the random component of variance from the total variance[ 11- 13].
where is the path loss, is the distance between the transmitter and the receiver, is a tradeoff factor between the LOS component and the random component of the channel (this parameter is equal to in our general simulation), is the antenna array response for the main AoA, is a Gaussian random vector with zero mean and, the index stands for the multipath effect.
In addition, variability parameters between countries are shown for the random component (sigma u, rho), and the log likelihood, the AIC Akaike Information Criterionn), and the BIC (Bayesian Information Criterion) statistics are indicated.
where M = n/2 is the multichannel order, κ = s 2 2 σ 2 (33). is the ratio between the energy of the deterministic component and the average received energy via the random component d = σ 2 γ ̄, (34).
The extraction order is the trend component with periodic component, followed by the random component.
The random component is caused by machine vibrations.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com