标题： 计算拟合优度根均方检验的置信水平，II 显示英文标题

标题： Computing the confidence levels for a root-mean-square test of goodness-of-fit, II

摘要： 本文扩展了我们之前的文章，“计算拟合优度的均方根检验的置信水平”；与之前的文章不同，本文中的模型涉及参数估计——相关检验中的原假设和备择假设都是复合假设。 我们提供了高效的黑盒算法来计算经典卡方检验变体的渐近置信水平。 在某些情况下，也可以通过蒙特卡洛模拟计算精确的置信水平。 显示英文摘要

摘要： This paper extends our earlier article, "Computing the confidence levels for a root-mean-square test of goodness-of-fit;" unlike in the earlier article, the models in the present paper involve parameter estimation -- both the null and alternative hypotheses in the associated tests are composite. We provide efficient black-box algorithms for calculating the asymptotic confidence levels of a variant on the classic chi-squared test. In some circumstances, it is also feasible to compute the exact confidence levels via Monte Carlo simulation.