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They also provided probabilistic guarantees on the feasibility of an optimal robust solution when the uncertain coefficients obey independent and identically distributed normal distributions.
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With the exception of number of breastfeeds per 24 hours and number of breastfeeds during the nighttime, all continuous variables were deemed normally distributed (normal distribution in the two non-parametric variables was also rejected using the Kolmogorov-Smirnov 1-sample test)[ 19].
If the disturbance in (1) is assumed to be independently and identically distributed (normal distribution) then a probit model can be specified for maximum likelihood estimation of the parameters βj1, the probability that a woman chooses to abort, Pi, is P i = Prob y i = 1 = Prob u i > − w i = F w i (4).
This smoothed adjusted log-ratio demonstrated a distribution that highly resembled what would be expected for an independent and identically distributed normal distribution (Additional File 1 panel C), thus facilitating straight-forward statistical inference.
Statistical analysis was performed using the one-way ANOVA test (two tailed), as appropriate for normally distributed data (normal distribution was tested using χ goodness of fit).
Next, they are CP recovered and receive a normalized CMI value of 1 ± a randomly distributed factor (normal distribution with variance 0.1 as suggested by Terada et al. (1994)).
In Fig. 3, the results show that the half-hourly variations of all household demand are distributed according to normal distributions, with same mean values but with different standard deviations.
Data were first analysed for normal distribution; normally distributed data were analysed by one-way ANOVA and then treatment groups were compared using TUKEY post hoc analysis.
However, multi-reader multi-case analyses usually require ratings be distributed normally (or transformed to normal distribution) for valid comparison of reader and test performance.
The VascuQol Total score, the VascuQol domains Activity, Symptoms, Pain, Emotional and Social, and the ALDS were all normally distributed (histograms showed normal distribution and Kolmogorov-Smirnov test p-values > 0.10).
A Shapiro-Wilk test demonstrates that the data points in Fig. 1c are not normally distributed, but a normal distribution is assumed by the t-test used here; the data should therefore have been analysed using a non-parametric test, such as the Mann–Whitney U test.
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