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In the case of phase, we computed the circular-linear correlation coefficient that tests the relationship between a linear variable (PC2 weights) and a circular one (phase of oscillation) (Berens P, J Stat Soft, 2009).
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The interaction term between calendar year as a linear variable and CMM diagnosis suggested an increase in risk with more recent calendar time.
The circular-linear correlation r between an angular variable θ and a linear variable x is computed from where r12 is the Pearson correlation between cos θ and sin θ, r13 is the Pearson correlation between cos θ and x, and r23 the Pearson correlation between sin θ and x.
There was also no evidence to suggest that the association between day-100 ACR, modeled as a linear variable, and mortality was different in allogeneic vs. autologous patients (interaction test, p=.38).
There was no association between months of use entered as a linear variable and mortality following ovarian cancer (HR 1.01; 95% CI: 1.00 1.01, Table 3 in Additional file 2: Additional tables).
We adopt the following notation: M k j represents the element of the kth row and jth column of the matrix M. CCA [ 46] looks for the largest correlation between a linear combination of the variables in the first set X and a linear combination of the variables in the second set Y. The first pair maximizes the correlation ρ1=cor(X a, Y b) subject to var(X a)=var(Y b =1.
Pearson's coefficient was used to measure correlation between linear variables.
We also used Spearman correlation with adjusted r² to assess the association between linear variables.
There was no reason to assume a linear association between variables and outcome, so variables were categorised by dividing the GPs in three equal sized groups.
The poor relation between KAP scores was unsurprising because a linear relationship between variables may not exist in cardiovascular health (eg, highly satisfactory knowledge=high satisfactory attitude and behaviour).
For assessment of a linear relationship between a continuous variable and a dichotomous variable, the chi-square test for trend was used.
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