A NOVEL AND SIMPLE RULE OF THUMB FOR MULTIPLICITY CONTROL IN EQUIVALENCE TESTING USING TWO ONE-SIDED TESTS

Equivalence testing is growing in use in scientific research outside of its traditional role in the drug approval process. Largely due to its ease of use and recommendation from the United States Food and Drug Administration guidance, the most common statistical method for testing (bio)equivalence is the two one-sided tests procedure (TOST). Like classical point-null hypothesis testing, TOST is subject to multiplicity concerns as more comparisons are made. In this manuscript, a condition that bounds the family-wise error rate (FWER) using TOST is given. This condition then leads to a simple solution for controlling the FWER. Specifically, we demonstrate that if all pairwise comparisons of k independent groups are being evaluated for equivalence, then simply scaling the nominal Type I error rate down by (k - 1) is sufficient to maintain the family-wise error rate at the desired value or less. The resulting rule is much less conservative than the equally simple Bonferroni correction. An example of equivalence testing in a non drug-development setting is given.

Biomechanics of meniscal horn attachments

Menisci are anchored to the tibia by means of ligament-like structures called meniscal attachments. Failure material properties of bovine meniscal attachments were obtained. There were no significant differences in the structural properties or ultimate stress between the meniscal attachments (p>0.05). Furthermore, Glycosaminoglycan (GAG) fraction and crimping frequency was obtained for each attachment using histology and differential interference contrast (DIC) respectively. Results showed that the anterior attachment’s insertion had the greatest GAG fraction when compared to the posterior attachment’s insertion. Crimp frequency of the collagen fibrils was homogeneous along the length. Moreover, Scanning Electron Microscopy (SEM) technique was used to reveal the morphology of collagen in human meniscal attachments. Its midsubstance was composed of collagen fascicles running parallel to the longitudinal axis, with a few fibrils running obliquely, and others transversely. There were no differences between attachments for crimping angle or length. Since ligamentous-type tissues are comprised mainly of water, the fluid pressure within meniscal horn attachments was measured using a Fiber Optic Microsensor (FOM). Four cadaveric human joints were subjected to 2BW compressive load (ramp) at 0-, 15-, and 30-degrees of flexion for a minute and then the load was hold for 20 minutes (equilibrium). There were significant differences between 0- and 15- (p1– c5) were obtained. Significant differences were found on the straightened collagen fibers coefficient (c5) between MP and LA attachments (p