Directed acyclic graphs depicting possible pathways linking 25(OH)D, klotho, and PTH to lower-extremity physical performance. In all pathways (A–C), klotho and PTH are hypothesized mediators of 25(OH)D on lower-extremity physical performance. (A) PTH mediates the effect of klotho on lower-extremity physical performance (Model 2 and Mediation Model 1 appropriate); (B) PTH confounds the effect of klotho on lower-extremity physical performance (Model 3 and Mediation Model 2 appropriate); (C) Klotho and PTH affect lower-extremity physical performance through separate pathways (all models appropriate). 25(OH)D, 25-hydroxyvitamin D; PTH, parathyroid hormone.