This paper is a theoretical and experimental study of how interval arithmetic and analysis methods can be used to achieve (1) numerical certification of the kinematic calibration of parallel robots, and (2) a possible validation of the kinematic model used in calibration. First, a detailed description is given of our experimental device and vision-based measurement method. The usual calibration methods are then reviewed and applied to our experimental data set, yielding a motivation for numerical certification of the results. Next, interval calibration methods (which have already been described in a previous work) are also reviewed and applied to the data. Finally, the experimental results are discussed and interpreted.