A Study of Guselkumab and Golimumab Combination Therapy in Participants With Active Psoriatic Arthritis

Inclusion Criteria: * Have a diagnosis of psoriatic arthritis (PsA) for greater than or equal to (\>=) 6 months prior to the first administration of study intervention and meet Classification criteria for PsA (CASPAR) criteria at screening * Have active PsA as defined by having at least 3 swollen joints and at least 3 tender joints at screening and at baseline * Have at least 1 of the following PsA subsets: distal interphalangeal joint involvement, polyarticular arthritis with absence of rheumatoid nodules, arthritis mutilans, asymmetric peripheral arthritis, or spondylitis with peripheral arthritis * Have active plaque psoriasis, with at least one psoriatic plaque of \>=2 centimeter (cm) diameter or nail changes consistent with psoriasis * Have an inadequate response (IR) to anti-tumor necrosis factor-alpha (anti-TNF-alpha) therapy, defined as presence of active PsA despite treatment with either 1 or 2 prior anti-TNF-alpha agent(s) and the following: a. Lack of benefit to either 1 or 2 prior anti-TNF-alpha therapies, as documented in the participant history by the treating physician, after at least 12 weeks of etanercept, adalimumab, or certolizumab pegol therapy, or at least 14-weeks of infliximab, or any biosimilar of these 4 therapies. Documented lack of benefit may include inadequate improvement in joint counts, physical function, or disease activity; b. The last dose of anti-TNF-alpha therapy must have occurred greater than 5 half-lives of the drug prior to first study…