To ensure the correlation is invariant to transformation, we need to adjust correlation matrix Σ into ∑ adj = 2 sin (π ∑ / 6 ).
The researchers also did some additional statistical checks to ensure the correlation was material, and not generated by another, third variable that is correlated with sexual equality, such as GDP per person.
To ensure spatial correlation, when data is inserted into a pixel model, it is also added to a randomly selected neighbouring pixel model.
The researchers controlled for factors such as whether family members smoked, if pets lived in the house, and what type of allergens the subjects were sensitive to ensure that correlation with the bacteria's health benefits wasn't driven by a single allergen.
Pulmonary vein isolation was achieved point-to-point to ensure strict correlation between each lesion and its CF characteristics.
We generated the covariates (Z1ij, Z2ij, and Z3ij), and centre by sampling with replacement from the MIST2 dataset, to ensure the correlation structure between covariates was preserved.
For an estimate of test re-test reliability on the GPCOG a sample size of 100 will be used to ensure the correlation is estimated to a reasonable precision.
To ensure that correlation coefficients did not simply reflect slow concurrent changes in firing across neurons, we first removed slow trends in firing from each cell's spike-rate timecourse (slower than ∼100 s, by high-pass filtering firing rate timecourses above 0.01 Hz).
To ensure validity, correlations between the same trait assessed with different methods must be sufficiently large and larger than those between different traits assessed with either the same or different methods.
To even further ensure that correlations would be observable if they were present, 1H T1 experiments were also performed on a soluble polymer isolated from an immature Class I (polylabdanoid) resinite.
