A comparison of standard and compositional data analysis in studies addressing group differences in sedentary behavior and physical activity

Table 3 Results of Independent t-Tests of Univariate Differences in Time Spent Sedentary, Standing and in Physical Activity Between Sexes and Age Groups During Work and Leisure Analyzed using Standard and CoDA Approaches

Variable	t	MD	CI	P	t	MD	CI	p
Variable	Sex				Age
	Work
ilr₁	5.83	0.37	0.25, 0.50	< 0.001	2.91	0.19	0.06, 0.31	< 0.001
ilr₂	−3.36	−0.10	−0.15, −0.04	< 0.001	−0.52	−0.02	−0.07, 0.04	0.60
Sedentary	5.64	8.79	5.74, 11.84	< 0.001	2.28	3.62	0.52, 6.72	0.02
Stand	−5.38	−7.31	−9.98, −4.65	< 0.001	−2.21	− 3.08	−5.82, − 0.34	0.03
PA	−2.57	−1.48	−2.60, − 0.35	0.01	− 0.95	−0.54	−1.66, 0.58	0.34
	Leisure
ilr₁	5.67	0.18	0.12, 0.25	< 0.001	−1.83	−0.06	−0.13, 0.00	0.07
ilr₂	−1.68	−0.04	−0.08, 0.01	0.09	−1.28	−0.03	− 0.07, 0.01	0.20
Sedentary	5.89	5.16	3.44, 6.88	< 0.001	−1.72	− 1.54	−3.30, 0.22	0.09
Stand	−6.02	−4.16	−5.53, −2.80	< 0.001	1.14	0.81	−0.58, 2.20	0.25
PA	−2.98	−1.00	− 1.65, −0.34	< 0.001	2.19	0.73	0.07, 1.39	0.03

CoDA Compositional data analysis, ilr₁ isometric log-ratio coordinate expressing sedentary time vs. standing and PA together, ilr₂ isometric log-ratio coordinate expressing standing vs. PA, PA physical activity, t t-test statistic, p significance level, significant results are shown in bold; The faded (italicized) results are for variables which were not significantly different between groups based on MANOVA; MD mean difference between groups, CI lower and upper limit of a 95% confidence interval on the mean difference

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