An analysis is given of thermoelastic noise ͑thermal noise due to thermoelastic dissipation͒ in finite sized test masses of laser interferometer gravitational-wave detectors. Finite-size effects increase the thermoelastic noise by a modest amount; for example, for the sapphire test masses tentatively planned for LIGO-II and plausible beam-spot radii, the increase is Շ10 percent. As a side issue, errors are pointed out in the currently used formulas for conventional, homogeneous thermal noise ͑noise associated with dissipation which is homogeneous and described by an imaginary part of the Young's modulus͒ in finite sized test masses. Correction of these errors increases the homogeneous thermal noise by Շ5 percent for LIGO-II-type configurations.