We use three different data sets , specifically H ( z ) measurements from cosmic chronometers , the HII-galaxy Hubble diagram , and reconstructed quasar-core angular-size measurements , to perform a joint analysis of three flat cosmological models : the R _ { h } = ct Universe , \Lambda CDM , and w CDM . For R _ { h } = ct , the 1 \sigma best-fit value of the Hubble constant H _ { 0 } is 62.336 \pm 1.464 \mathrm { km s ^ { -1 } Mpc ^ { -1 } } , which matches previous measurements ( \sim 63 \mathrm { km s ^ { -1 } Mpc ^ { -1 } } ) based on best fits to individual data sets . For \Lambda CDM , our inferred value of the Hubble constant , H _ { 0 } = 67.013 \pm 2.578 \mathrm { km s ^ { -1 } Mpc ^ { -1 } } , is more consistent with the Planck optimization than the locally measured value using Cepheid variables , and the matter density \Omega _ { m } = 0.347 \pm 0.049 similarly coincides with its Planck value to within 1 \sigma . For w CDM , the optimized parameters are H _ { 0 } = 64.718 \pm 3.088 \mathrm { km s ^ { -1 } Mpc ^ { -1 } } , \Omega _ { m } = 0.247 \pm 0.108 and w = -0.693 \pm 0.276 , also consistent with Planck . A direct comparison of these three models using the Bayesian Information Criterion shows that the R _ { h } = ct universe is favored by the joint analysis with a likelihood of \sim 97 \% versus \lesssim 3 \% for the other two cosmologies .