This article describes the development of new models for predicting four colour appearance attributes: saturation, vividness, blackness, and whiteness. The new models were developed on the basis of experimental data accumulated in the authors' previous study, in which the four colour appearance attributes were scaled by 64 Korean and 68 British observers using the categorical judgment method. Two types of models were developed: the ellipsoid-based and the hue-based. For the former, the perceived saturation, vividness, blackness, and whiteness were modeled in the form of colour-difference formulae between the test colour and a reference colour. For the latter, blackness, whiteness, and chromaticness scales were modeled by estimating hue-dependent lightness and chroma values for the full colour in the framework of Adams' equation. The new models were tested using NCS data and were found to outperform some of the existing colour appearance models.