Santa Anita Operating Co., Arcadia, has elected Robert P. Strub to the newly created position of chairman. Currently president and chief executive of the company, Strub is also chairman of Santa Anita Realty Enterprises. Arthur L. Crowe was elected to the newly created position of vice chairman. Among other property, Santa Anita Realty Enterprises owns the Santa Anita race track. Santa Anita Operating Co. conducts thoroughbred horse racing at Santa Anita Park through its subsidiary, the Los Angeles Turf Club.