Table 2 Statistical Results for the respiratory parameters: breathing frequency (\(\textrm{min}^{-1}\)) (BF) , respiratory minute volume (\(\textrm{min}^{-1}\)) (VE), and respiratory quotient (RQ) - all given as patient-individual z-scores over all six experimental conditions. The results contain values from the \(2\times 3\) rm ANOVA for main effects and interactions: test statistics \(F(\text {df}_{f1}, \text {df}_{f2})\), significance level p, and effect size (Partial Eta Squared) \(\eta ^2\). In case of significant main effects, post hoc (pairwise) t-tests are reported with the test-statistic \(T(\text {df}_{t})\), Holm-adjusted significance level \(p_{\text {adj}}\) and effect size as Cohen’s d.

From: Effect of simultaneous physical and auditory stressors on cardiorespiratory response

rm ANOVA

BF

VE

RQ

Auditory

\(F(1,17) = 20.507\)

\(F(1,17) = 0.534\)

\(F(1,17) = 0.880\)

 

\(\varvec{p < 0.001}\)

\(p = 0.475\)

\(p = 0.361\)

 

\(\eta _p^2= 0.547\)

\(\eta _p^2 = 0.030\)

\(\eta _p^2 = 0.049\)

Physical

\(F(1.1, 18.74) = 496.114\)

\(F(1.3, 22.11) = 1840.795\)

\(F(1.52, 25.98) = 278.039\)

 

\(\varvec{p < 0.001}\)

\(\varvec{p < 0.001}\)

\(\varvec{p < 0.001}\)

 

\(\eta _p^2=0.967\)

\(\eta _p^2 = 0.991\)

\(\eta _p^2 = 0.942\)

Interaction

\(F(2, 34) = 1.256\)

\(F(1.28, 21.80) = 1.950\)

\(F(1.45,24.67) = 0.076\)

 

\(p = 0.298\)

\(p = 0.175\)

\(p = 0.871\)

 

\(\eta _p^2 = 0.069\)

\(\eta _p^2 = 0.103\)

\(\eta _p^2 = 0.004\)

Post hoc

s vs. d

\(T(17) = -0.4528\)

  
 

\(\varvec{p_\text {adj} < 0.001}\)

  
 

\(d = -1.129\)

  

0 vs. 1

\(T(17) = -20.740\)

\(T(17) = -37.537\)

\(T(17) = 23.383\)

 

\(\varvec{p_\text {adj} < 0.001}\)

\(\varvec{p_\text {adj} < 0.001}\)

\(\varvec{p_\text {adj} < 0.001}\)

 

\(d= -4.311\)

\(d= -7.278\)

\(d = 4.075\)

0 vs. 2

\(T(17) = -30.502\)

\(T(17) = -60.053\)

\(T(17) = 9.047\)

 

\(\varvec{p_\text {adj} < 0.001}\)

\(\varvec{p_\text {adj} < 0.001}\)

\(\varvec{p_\text {adj} < 0.001}\)

 

\(d = -6.424\)

\(d = -11.643\)

\(d = 1.576\)

1 vs. 2

\(T(17) = -10.162\)

\(T(17) = -22.516\)

\(T(17) = -14.336\)

 

\(\varvec{p_\text {adj} < 0.001}\)

\(\varvec{p_\text {adj} < 0.001}\)

\(\varvec{p_\text {adj} < 0.001}\)

 

\(d = -2.112\)

\(d = -4.365\)

\(d = 2.498\)