A panel-type subfloor assembly for an anchored/resilient floor includes a plurality of elongated panels laid end-to-end in parallel rows along a first direction, the panels having elongated slots formed therein that are oriented at an oblique angle relative to the first direction. For the entire floor, this results in a plurality of aligned rows of elongated slots oriented at an oblique angle relative to the first direction. Each slot cooperates with an elongated fastener, namely an elongated dual flanged channel held by at least one pin. The fastener is positioned within the respective slot and adapted to hold the respective panel to the base along two longitudinal edges of the slots, in a manner that limits upward movement of the panel while permitting downward deflection. The slots are longitudinally and transversely oversized relative to the flanges of the fastener, and preferably each fastener is secured to the base via only a single pin. This promotes self-alignment of fasteners and the floor in response to lateral sheer forces, thereby resulting in floor with a high degree of structural integrity that is able to withstand substantial lateral sheer forces and/or vertically directed forces. An upper wear layer is secured to the panel-type subfloor. Compared to other panel-type anchored/resilient floors, the floor of this invention simplifies and reduces installation and handling time, resulting in reduced labor costs. The structure itself also provides high strength and durability, but with reduced quantity and cost of materials.