We have recently proposed a varying cosmological constant model for which we now test our proposal with the use of two large collections of observational Gold data of supernovae Type Ia (SNe Ia) and HII Galaxies (HIIGx) data as standard candles for constructing the Hubble diagram at redshifts beyond the current reach of Type Ia supernovae. For this aim, we obtain the luminosity distances from the proposed varying $\Lambda$ models which have been briefly summarized. Using these luminosity distance values, we present the modulus values from which we test the accuracy of the models by probing the Gold data and HII Data confirming that the relation between the emission-line luminosity and ionized-gas velocity dispersion is a reliable modulus indicator. From the ${\chi }^2$ minimization and the maximization of the likelihood function, we optimize the cosmological parameters in each cosmological model. While the best model is obtained as the $\Lambda$CDM for Gold data, our model with a $\Lambda$ depending on the matter density $\rho$ is obtained as the best model for HII data. Moreover, the statistical tools, such as the Akaike (AIC), and Bayes (BIC) Information Criteria favor the standard $\Lambda$CDM model over our $\Lambda \propto \rho$ model with a relative BIC of 372/383 for Gold data, but same criteria favor our $\Lambda \propto \rho$ model over $\Lambda$CDM with 1055/1120 for HII Galaxy data. We also test the accuracy of our models by comparison of the theoretical and observational modulus values for both data, and illustrate the Hubble diagrams for all varying $\Lambda$ models showing a worse fit with respect to $\Lambda$CDM model for Gold Data, and a best fit with $\Lambda \propto \rho$ model for HII Data, through given statistical confidence tables.

我们最近提出了一个变化的宇宙常数模型，现在我们通过使用两个大的Ia型超新星（SNe Ia）和HII星系（HIIGx）数据的观测金数据集作为构建哈勃图的标准蜡烛来测试我们的建议红移超出了Ia型超新星目前的范围。为此，我们从提议的变化中获得光度距离$\Lambda$简要总结的模型。使用这些光度距离值，我们通过模量Gold数据和HII数据，给出了模量值，从中我们测试了模型的准确性，从而确认了发射线光度和电离气体速度色散之间的关系是可靠的模量指标。来自${\chi }^2$最小化和似然函数的最大化，我们优化了每个宇宙学模型中的宇宙学参数。虽然获得了最佳模型$\Lambda$CDM for Gold数据，我们的模型具有 $\Lambda$ 取决于物质密度 $\rho$是获得HII数据的最佳模型。此外，Akaike（AIC）和Bayes（BIC）信息标准等统计工具也偏爱该标准。$\Lambda$我们的CDM模型 $\Lambda \propto \rho$ 黄金数据的相对BIC为372/383的模型，但相同的条件有利于我们 $\Lambda \propto \rho$ 模仿 $\Lambda$带有1055/1120的CDM，用于HII Galaxy数据。我们还通过比较两个数据的理论模量和观测模量值来测试模型的准确性，并说明了所有变化的哈勃图$\Lambda$ 表现出较差的模型 $\Lambda$黄金数据的CDM模型，最适合 $\Lambda \propto \rho$ 通过给定的统计置信度表建立HII数据模型。