The determination of sky temperature assumes great importance in engineering applications such as radiative cooling of buildings. Many studies that involve a radiative exchange with the sky employ different reported models of sky temperature interchangeably.However, until now, hardly any systematic study has been done to quantify the errors/variations that might be encountered in calculating this radiative exchange employing these different correlations. In the current paper, first, a thorough analysis has been presented on the sky temperature correlations and a possible range of variation in sky temperature based on the estimation of sky emissivity is computed. Both diurnal-nocturnal variation in sky temperature and seasonal disparities in sky temperature have been reported. Next, the case of a box-type solar cooker has been taken up for Heat Transfer-Asian Res. 2019;48:1830-1856. wileyonlinelibrary.com/journal/htj 1830 | Nomenclature: ε, sky temperature emissivity; T sky , sky temperature; T a , ambient temperature; F 1 , first-figure-of-merit for solar cookers; ƞ o , optical efficiency; U L , overall coefficient of heat loss; T p , plate temperature; θ p , nondimensional plate temperature; U t , top heat transfer factor; U b , bottom heat transfer factor; U s , side heat transfer factor; Q″ t , rate of heat loss per unit area from absorber plate to inner glass cover; h cpg1 , convective heat transfer coefficient from plate to first glass cover; h cg1g2 , convective heat transfer coefficient between two glass covers; h w , convective heat transfer coefficient on the top of glass cover; ε g , emissivity of glass; T g1 , outward temperature of first glass cover; P v , vapor pressure of water; T dp , dew-point temperature; RH, relative humidity (in percentage); ∅, relative humidity (in fraction); H s , solar insolation; RMSE, root-mean-square error; MAPE, mean-absolute-percentage error; η ob , optical efficiency for the beam component of irradiance; η od , optical efficiency for the diffuse component of irradiance; Nu, Nusselt number; Ra, Raleigh number; h rpg1 , radiative heat transfer coefficient from plate to first glass cover; h rg1g2 , radiative heat transfer coefficient between two glass covers; h rg2s , radiative heat transfer coefficient from glass cover to surrounding; ε p , emissivity of plate; T g2 , outward temperature of second glass cover. investigation with respect to the possible influence of the sky temperature estimation in predicting its performance parameter, first-figure-of-merit on a daily, seasonal, and climatic basis. Our observations show an enormous difference in sky temperature depending upon the expressions of emissivity from which it is derived. The variability of sky temperature has a nominal influence on the prediction of first-figure-ofmerit, although a marked discrepancy is observed across the seasons at the same location.