caa a22 4500 469055693 CHVBK 20180323132843.0 cr unu---uuuuu 170328e19920901xx s 000 0 eng 10.1007/BF00625060 doi (NATIONALLICENCE)springer-10.1007/BF00625060 Modelling bivariate relationships when repeated measurements are recorded on more than one subject [Elektronische Daten] [Alan Nevill, Carlton Cooke, Roger Holder, Roger Ramsbottom, Clyde Williams] Summary: This paper examines the problems of modelling bivariate relationships when repeated observations are recorded for each subject. The statistical methods required to test for a common group model were introduced using an example from exercise physiology, where the oxygen cost of running at four different speeds was recorded for a group of 30 recreationally active males. When data for each subject were studied individually, both the plots and correlations suggested the relationship to be linear. Hence, the homogeneity of the subjects' regression lines was compared using the appropriate ANOVA test. The analysis revealed a significant difference in the slopes and intercepts of the lines, thus precluding the use of a single linear model to represent the group. If the subjects were divided into two groups according to the median maximum oxygen consumption (ie), a multivariate analysis of variance of the slope and intercept parameters helped to explain some of this heterogeneity (P<0.05). However, for physiological rather than statistical reasons, it was necessary to re-analyse the data without the fourth running speed. The revised analysis suggested that the subjects' lines would be better modelled with a common slope but separate intercepts. As before, by dividing the subjects into two groups according to the median $$\dot V{\text{O}}_{{\text{2max}}}$$ score, a simplet-test indicated that differences in the subjects' intercept parameters were not significant (P=0.08). Notwithstanding the relatively homogeneous nature of the 30 subjects in terms of $$\dot V{\text{O}}_{{\text{2max}}}$$ the statistical methods showed that differences in running economy are, to some extent, dependent on $$\dot V{\text{O}}_{{\text{2max}}}$$ . Springer-Verlag, 1992 Linear regression nationallicence Heterogeneity scenarios nationallicence Multivariate analysis of variance nationallicence Oxygen uptake nationallicence Running speed nationallicence Nevill Alan School of Sport and Exercise Sciences, University of Birmingham, Birmingham, UK aut Cooke Carlton Carnegie Physical Education and Sports Studies Group, Leeds Polytechnic, Leeds, UK aut Holder Roger School of Mathematics and Statistics, University of Birmingham, Birmingham, UK aut Ramsbottom Roger Department of Physical Education and Sports Science, University of Technology, Loughborough, UK aut Williams Clyde Department of Physical Education and Sports Science, University of Technology, Loughborough, UK aut European Journal of Applied Physiology and Occupational Physiology Springer-Verlag 64/5(1992-09-01), 419-425 0301-5548 64:5<419 1992 64 421 https://doi.org/10.1007/BF00625060 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00625060 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nevill Alan School of Sport and Exercise Sciences, University of Birmingham, Birmingham, UK aut NATIONALLICENCE 700 1- Cooke Carlton Carnegie Physical Education and Sports Studies Group, Leeds Polytechnic, Leeds, UK aut NATIONALLICENCE 700 1- Holder Roger School of Mathematics and Statistics, University of Birmingham, Birmingham, UK aut NATIONALLICENCE 700 1- Ramsbottom Roger Department of Physical Education and Sports Science, University of Technology, Loughborough, UK aut NATIONALLICENCE 700 1- Williams Clyde Department of Physical Education and Sports Science, University of Technology, Loughborough, UK aut NATIONALLICENCE 773 0- European Journal of Applied Physiology and Occupational Physiology Springer-Verlag 64/5(1992-09-01), 419-425 0301-5548 64:5<419 1992 64 421 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer