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to the posterior hand (T hand ) (VitalSense). Since warm blood   this cutoff imposes a slightly larger penalty on the goodness-
              was being removed from the body in a cold environment, it   of-fit and will favor a more complex model more frequently. 13
              was prudent to examine these thermoregulatory responses.   The alpha level in each analysis was set at P=.05, and a Bonfer-
              Urine specific gravity was measured to ensure participants be-  roni correction was applied to the analyses with multiple com-
              gan their blood donation and ruck march hydrated (i.e., urine   parisons. Descriptive statistics are presented as means (SDs) or
              specific gravity <1.020), and rucksack weights were also mea-  medians (interquartile ranges [IQRs]) for ordinal data.
              sured during this time.
                                                                 Results
              Immediately after participants completed their BD at the
              training area, they were instrumented with heart rate (HR)   Ruck Times
              monitors (Polar Electro, Bethpage, NY) and portable meta-  Results showed a significant order  × condition interaction
                                                                                  2
              bolic measurement systems (Vyaire Medical, Mettawa, IL)   (F (1,11)= 25.4, P<.001, η G=.29), a non-significant main effect of
              to measure respiratory rate (RR) and minute ventilation (V )   order (F (1,11) =.22, P>.1, η G=.02), and a non-significant main
                                                                                    2
                                                            E
                                                                                                2
              during the ruck march. They then donned rucksacks and had   effect of condition (F (1,11) =2.13, P>.1, η G=.03). On average,
              their oxygen saturation (SpO ) measured using a finger pulse   individuals who donated on day 1 were slower to complete the
                                     2
              oximeter (Nonin Medical Inc., Plymouth, MN). Participants   ruck (68.8 [SD 16.3] min) relative to when they did not donate
                                               9
              then provided ratings of perceived exertion  (RPE; 1–10 scale),   on day 2 (48.6 [SD 8.96] min, P=.004) reflecting a difference
              thermal sensation  (TS; −4 very cold to +4 very hot), and AMS   of 20.2 minutes. Individuals who did not donate on day 1 were
                           10
                      11
              symptoms.  AMS symptoms included headache (0, no head-  slower (61.1 [SD 9.0] min) relative to when they did donate
              ache to 3, severe, incapacitating headache), fatigue (0, no fa-  on day 2 (50.0 [SD 8.9] min), reflecting a difference of 11.1
              tigue/weakness to 3, severe fatigue/weakness), and dizziness/  minutes (P=.037). Ruck times did not differ on day 1 across
              lightheadedness (0, no dizziness/lightheadedness to 3, severe   the order conditions (Welch’s t (8.53) =.85, P>.1), but were overall
              dizziness/lightheadedness). Research staff recorded ruck start   slower on day 1 (64.0 [SD 15.9] min) relative to day 2 (49.5
              and end times with stopwatches.                    [SD 8.4] min; t  =4.49, P<.001).
                                                                            (12)
              Along the 3.2-km route, research staff positioned themselves   Physiology
              every 0.8 km, creating a series of three checkpoints (CPs) at   For heart rate (Figure 3), an LMM (random intercept only)
              distances of 0.8km (CP1), 1.6km (CP2), and 2.4km (CP3). At   showed a significant effect of HR increase as a function of time
              each CP, participants stopped for 2 minutes for the collection   (b=4.65 [SE 3.87], P=.009). All other terms were not signifi-
              of SpO , RPE, TS, and AMS data. After the 2 minutes elapsed,   cant (all Ps>.1). For SpO  (random intercept only), an LMM
                                                                                    2
                   2
              participants continued their ruck march to the next CP, where   showed a significant effect of SpO  decreasing as a function of
                                                                                           2
              the procedures were repeated. Six minutes were subtracted from   time (b=–1.24 [SE .5], P<.001) and a main effect of condition
              participants’ total ruck time to account for stops at each CP.  where SpO  was lower in the control condition relative to the
                                                                         2
                                                                 BD condition (b=–4.23 [SE 2.4], P=.007).
              Statistical Analyses
              All analyses were completed in R version 4.2.0 (https://www.R-   FIGURE 3  Mean (SD) heart rate (HR) responses to ruck marching
              project.org/) supported by the rstatix (https://CRAN.R- project.  without (CON) and with blood donation (BD) plotted over the
                                                        12
              org/package=rstatix), lme4 (as described in Bates et al. ), and   route. HR increased from ruck marching but was not different
                                                                 between CON and BD.
              ordinal (https://CRAN.R-project.org/package=ordinal)  pack-
              ages. The total time to complete the ruck march was analyzed
              using a 2 (order effect of control/BD: control on Day 1 vs. BD
              on Day 1) × 2 (donation condition: control vs. BD) mixed anal-
              ysis of variance (ANOVA).
              Physiological (HR, SpO , T , T hand,  RR, and V ) data were col-
                                2
                                   c
                                                 E
              lected as supporting evidence for physical performance out-
              comes. These data were recorded at each CP along the route,
              including Start and Finish, and analyzed using linear mixed
              effects models (LMMs) 2 (control, BD) × 2 (order effect of
              control/BD) × 5 (Start, CP1, CP2, CP3, Finish) repeated mea-
              sures ANOVA. P values were derived from type II Wald chi-
              square tests.
              Self-report measures (RPE,  TS, headache, fatigue, dizziness/
              lightheadedness) were treated as ordinal data and analyzed
              using cumulative link mixed models (CLMMs).  The model   Temperatures
              structure was the same as the LMMs.                For core temperatures (random intercept only), the  LMM
                                                                 showed a significant effect of core temperatures increasing as
              For all models, the construction of random effects structures   a function of time (b=.27 [SE .6], P<.001). Furthermore, there
              followed a backwards heuristic, starting with the most com-  were significant order × time (P=.033) and order × condition
              plex random effects structure and working down using likeli-  (P=.008) interactions. For the former, core temperatures col-
              hood ratio tests (LRT) to attempt to balance model complexity   lapsed  across conditions were  similar  and increased  across
              with goodness of fit (i.e., avoid singular fits and convergence   the order groups at times 1, 2, and 3 (Welch’s ts<2.2; Ps>.042
              warnings). Thus, we used an α = .2 criteria for LRT, given that   corrected).

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