A current concern in modern metrology is the estimation of uncertainties of measurement in a more consistent manner than applied in the past. This article derives analyatical expressions for uncertainties in (x,y), (u,v), and (u',v') chromaticity coordinates derived both from direct spectral measurements and from filtered tristimulus colorimeter measurements. Correlations between the tristimulus responses are included. Correlation coefficients are estimated for both broad- and narrow-band sources. Conclusions are drawn for accuracy requirements for spectral matching and for signal-to-noise ratios to achieve a particular uncertainty. Specific example are given for traffic signal lights, light-emitting diodes, and a luminance standard.