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While positive, significant correlations were observed between the VVI values and both comparators, the correlation was strongest between the VVI values and the image verified, known values (r = 0.863, p = 0.001).
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Next, we used the Health Assessment Questionnaire Disability Index HAQQ) score as an additional comparator in the correlation analysis with these indices (n = 720).
As a comparator, we also examined the correlation of IL-6 and serum lactate with SOFA score.
In short, the plots suggest that both the magnitude of the denominator F-statistic and the correlation between the comparator and reference measures have a substantial effect on the precision of the RV estimate, while the sample size effect was almost entirely conveyed through its influence on the magnitude of the denominator F-statistic.
The statistical significance of the RV increased as the magnitude of denominator F-statistic increased or as the correlation between comparator and reference measures increased.
Finally, the bootstrap standard error decreased steadily as the correlation between the comparator and the reference measures increased.
Likewise, the power increased as the denominator F-statistic or the correlation between the comparator and reference measure increased.
Simulations identified two key factors affecting whether a given RV represents a statistically significant finding: the magnitude of the denominator F-statistic (the F-statistic for the reference measure), and the correlation between the comparator and the reference measure.
In planning for power calculations in such studies, we suggest that researchers begin with reasonable estimates of the correlation between the comparator and reference measures along with the ANOVA group means and standard deviations.
In general, the confidence interval was relatively insensitive to varied sample size with a fixed F-statistic, but became increasingly narrower as either the denominator F-statistic or the correlation between the comparator and reference measures increased.
The sample size per ANOVA group ranged broadly from 42 to near 4000 [ 32, 33], the F-statistic of reference measure ranged widely from less than 4 to over 400 [ 12, 24], and the correlation between the comparator and reference measures was rarely reported.
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