The phrase "a conservative correlation of" is correct and usable in written English.
It can be used in contexts where you are discussing a relationship or connection that is cautious or restrained in nature, often in fields like statistics, economics, or social sciences.
Example: "The study revealed a conservative correlation of income levels and educational attainment, suggesting that while there is a relationship, it is not as strong as previously thought."
Alternatives: "a cautious relationship of" or "a restrained association of".
Assuming a conservative intracluster correlation of 0.05 for a cluster size of 100 (which assumes a design effect of 6), a total of 12 practices (six in each group) would be required to give 80% power to detect the hypothesized difference with a type 1 error of 5%.
A conservative intraclass correlation of 0.07 was assumed for clustering at the clinic level.
For the power analysis, we used the following specifications: a Type I error rate of α =.05, statistical power of.80, a two-tailed test, and a rather conservative correlation between pre and post measurements of 0.5.
There is no pilot data to inform the likely degree of clustering, but assuming a conservative intraclass correlation coefficient of 0.1, and an average of 3 participants per cluster, the study sample size would need to be increased by 20%.
Furthermore we assumed a conservative Intra Cluster Correlation of 0.10 for clustering of patients, based on the scarce literature on the correlation between long-term psychiatric patients within one professional [ 17].
Missing information may reflect a negative or more conservative correlation between markers and survival, which could lower the significance of markers expression as a predictor of mortality [ 141].
We applied an LLS cutoff of 2.1 to each protein pair that corresponds to a conservative Pearson correlation coefficient for co-expressed gene pairs of ~0.94.
Adopting a conservative intra-therapist correlation of 0.10 inflates the sample size to 40 patients per arm across a total of 10 therapists.
Power calculations were based on the expected moderate effect size and a conservative repeated measures correlation of 0.6, using conventional values for α (0.05) and β (0.20), and two-tailed tests with equal groups – the sample size aimed for will be 42 participants per treatment arm.
