School of Kinesiology and Health Studies, Queen's University, Kingston, ON, Canada.
Eur J Appl Physiol. 2019 Apr;119(4):889-900. doi: 10.1007/s00421-019-04078-w. Epub 2019 Jan 21.
We tested the hypothesis that monoexponential regressions will increase the certainty in response estimates and confidence in classification of cardiorespiratory fitness (CRF) responses compared to a recently proposed linear regression approach.
We used data from a previously published RCT that involved 24 weeks of training at high amount-high intensity (HAHI; N = 28), high amount-low intensity (HALI; N = 48), or low amount-low intensity (LALI; N = 33). CRF was measured at 0, 4, 8, 16, and 24 weeks. We fit the repeated CRF measures with monoexponential and linear regressions, and calculated individual response estimates, the error in these estimates (TE and TE, respectively), and 95% confidence intervals (CIs). Individuals were classified as responders, uncertain, or non-responders based on where their CI lay relative to a minimum clinically important difference. Additionally, responses were classified using observed pre-post-changes and the typical error of measurement.
Comparing the error in response estimates revealed that monoexponential regressions were a better fit than linear regressions for the majority of individual responses (N = 81/109) and mean CRF data (mean TE:TE; HAHI = 2.00:2.58, HALI = 1.91:2.46, LALI = 1.63:2.18; all p < 0.01). Fewer individuals were confidently classified as responders with linear regressions (N = 29/109) compared to monoexponential (N = 55/109). Additionally, response estimates were highly correlated across all three approaches (all r > 0.92).
Future studies should determine the type of regression that best fits their data prior to classifying responses. The similarity in response estimates and classification from regressions and observed pre-post-changes questions the purported benefit of using repeated measures to characterize CRF responses to training.
我们检验了一个假设,即与最近提出的线性回归方法相比,单指数回归将提高对心肺适能(CRF)反应估计的确定性和对分类的信心。
我们使用了先前发表的 RCT 的数据,该 RCT 涉及 24 周的高量高强度(HAHI;N=28)、高量低强度(HALI;N=48)或低量低强度(LALI;N=33)训练。CRF 在 0、4、8、16 和 24 周时进行测量。我们用单指数和线性回归拟合重复的 CRF 测量值,并计算个体反应估计值、这些估计值的误差(分别为 TE 和 TE)和 95%置信区间(CI)。根据他们的 CI 相对于最小临床重要差异的位置,将个体分类为反应者、不确定或非反应者。此外,使用观察到的前后变化和测量的典型误差对反应进行分类。
比较反应估计的误差表明,对于大多数个体反应(N=81/109)和平均 CRF 数据(平均 TE:TE;HAHI=2.00:2.58,HALI=1.91:2.46,LALI=1.63:2.18;均 p<0.01),单指数回归比线性回归更适合。与单指数回归(N=55/109)相比,线性回归中较少的个体被有信心地分类为反应者(N=29/109)。此外,所有三种方法的反应估计值都高度相关(所有 r>0.92)。
未来的研究应该在对反应进行分类之前确定最适合其数据的回归类型。从回归和观察到的前后变化来看,反应估计和分类的相似性质疑了使用重复测量来描述训练对 CRF 反应的所谓益处。