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Statistical analyses consisted of one way ANOVA and Duncan's multiple range tests, with P < 0.05 considered to indicate significance.

Microstructural analyses consisted of Scanning Electron Microscopy (SEM), X-ray diffraction (XRD) and focused ion beam (FIB) cross section analysis.

The analyses consisted of reversed-phase high-performance liquid chromatography (rp-HPLC) coupled with tandem mass spectrometry (MS/MS).

Our analyses consisted of a study cohort of 6,288 NHATS participants with a complete baseline frailty assessment excluding never drivers at baseline.

The primary safety analyses consisted of the incidence of treatment-emergent adverse events, serious adverse events, and discontinuations due to adverse events.

Primary longitudinal analyses consisted of Kaplan Meier survival analyses (Log-Rank tests), which compared times to depressive recurrence and recovery in patients with and without current irritability.

Statistical analyses consisted of a Wilcoxon matched-pairs signed-ranks test for acceptability variables and McNemar's chi-square for benefits and adverse effects.

Data analyses consisted of four parts.

GC-TOF-MS analyses consisted of a single injection of one dried 0.2 ml aliquot.

Preliminary analyses consisted of estimating correlations between deprivation scores and the neighbourhood standardized morbidity ratios (SMR).

The statistical analyses consisted of analysis of variance (ANOVA) followed by post-hoc analysis using Ryan's method [23].

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