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A number of these polls had very large sample sizes, meaning that the results are less likely than usual to have resulted from statistical variance.
For the statistical analysis, post hoc tests were done when analysis of variance results were significant.
The procedure was then repeated 20 times to reduce statistical variance (a total of 1200 estimations); additional permutations did not lead to much change in the results.
Derivations of information theoretic metrics in terms of statistical parameters such as variance result in analytical expressions that are difficult to interpret intuitively.
To determine statistical significance, results were compared by means of paired t-test (for two samples) or by analysis of variance (ANOVA) (for more than two samples).
The 105 statistical experiment results are given in Tables 3 and 4, where the ceiling operator is employed to make the mean value and variance be an integer.
The corrected model obtained a statistical significant result explaining 13.3% of the variance but with moderate effect.
Each of the modelling processes will be repeated 10 times and then the statistical results will be reported as "mean ± variance".
Before statistical analysis, the results were transformed to a normal distribution and an analysis of variance was carried out.
Analysis of variance (ANOVA) results showed a good agreement between the experimental data and the statistical model.
The statistical results were striking.
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CEO of Professional Science Editing for Scientists @ prosciediting.com