Golimumab in Rheumatoid Arthritis Participants With an Inadequate Response to Etanercept (ENBREL) or Adalimumab (HUMIRA)

The purpose of this study is to evaluate the efficacy and safety of switching rheumatoid arthritis (RA) participants who have an inadequate response to their current treatment with either etanercept + methotrexate or adalimumab + methotrexate to treatment with golimumab 50 milligram (mg) subcutaneous (SC) injection (a needle inserted under the skin in the back of upper arm, upper thigh or stomach area) every 4 weeks + methotrexate. This study is also designed to evaluate the benefit and safety of switching participants from treatment with golimumab 50 mg subcutaneous injection every 4 weeks + methotrexate to golimumab 2 milligram per kilogram (mg/kg) intravenous every 8 weeks + methotrexate, for those who do not achieve a marked improvement of their RA at Week 16.

The study consists of a main study and a voluntary, open-label (participants and researchers are aware about the treatment participants are receiving), 24-week study extension. The main study includes a Screening Run-in Period (Week -6 to Week 0), an Open-label Treatment Period (Week 0 to Week 16), an Open-label or Double-blind Treatment Period (Week 16 to Week 52). The main study also includes a Follow-up Period from Week 52 through Week 64 for those participants who will not participate in the 24-week study extension. Participants, participating in 24-week extension (at Week 52), will receive open-label golimumab SC injections every 4 weeks from Week 52 up to Week 72 and will be followed-up up to Week 88. All eligible participants will initiate the treatment with open-label golimumab SC injection every 4 weeks up to Week 12. At Week 16, depending upon the treatment response either participants will continue to receive open-label golimumab SC injection every 4 weeks up to Week 48 or participants will be randomly assigned to receive following 2 treatments: 1- golimumab 50mg SC injection every 4 weeks along with placebo intravenous infusion every 8 weeks through Week 48; 2- Placebo SC injection every 4 weeks along with golimumab 2mg/kg intravenous infusion every 8 weeks through Week 48. At Week 52, participants who choose to participate in the 24-week study extension will receive open-label golimumab 50 mg SC injections every 4 weeks through Week 72. Participants' safety will be monitored throughout the study.

Eligibility Criteria:
Inclusion Criteria:

* Have inadequate RA disease control prior to the first administration of study agent despite treatment with etanercept (Enbrel) + methotrexate or adalimumab (Humira) + methotrexate (MTX)
* Must have received a stable dose of MTX greater than or equal to (\>=) 7.5 milligram (mg) per week to less than or equal to (\<=) 25 mg per week for at least 4 consecutive weeks prior to the first screening visit and must plan to maintain that dose throughout the study
* Participants must have received etanercept or adalimumab in combination with MTX for a minimum of 3 months prior to the first visit
* Negative tuberculosis (TB) test
* Are capable of providing informed consent, which must be obtained prior to any study-related procedures

Exclusion Criteria:

* Have a history of latent or active granulomatous infection, including TB, histoplasmosis, or coccidioidomycosis, or are frequently in contact with individuals who carry active TB infection
* Have inflammatory diseases other than RA, including but not limited to psoriatic arthritis, ankylosing spondylitis, systemic lupus erythematosus, primary Sjogren's or Lyme disease
* Have demonstrated a discernible improvement in disease activity between screening and prior to the first golimumab injection at Week 0
* Have any known malignancy or have a history of malignancy within the previous 5 years (with the exception of a nonmelanoma skin cancer that has been treated with no evidence of recurrence)
* Have a history of lymphoproliferative disease, including lymphoma, or signs and symptoms suggestive of possible lymphoproliferative disease such as lymphadenopathy of unusual size or location