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arXiv 0908.0938astro-ph.GAastro-ph.CO
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分类星系群动力学的统计工具

Statistical Tools for Classifying Galaxy Group Dynamics

Annie Hou, Laura C. Parker, William E. Harris, David J. Wilman

摘要:

星系群在中等红移处的动力学状态可以提供宇宙结构生长的信息。我们研究三个拟合优度测试,安德森-达林(A-D),柯尔莫哥洛夫和卡方检验,以确定哪种统计工具是最好的能够区分组是放松的,那些是动态复杂的。我们进行蒙特卡罗模拟这三个测试,并表明卡方检验是深刻的不可靠的组少于30名成员。对Kolmogorov检验和A-D检验进行功效研究,以测试其在不同样本量下的稳健性。然后,我们将这些测试的第二个加拿大网络观测宇宙学红移巡天(hocC 2)星系群的样本,发现A-D测试是更可靠和强大的检测实际偏离一个潜在的高斯分布比更常用的卡方和Kolmogorov测试。我们使用此统计数据对hocC 2组的样本进行分类,发现106个组中有34个与潜在的高斯速度分布不一致,因此不会出现放松。此外,我们计算的速度色散曲线(VDPs)的所有组超过20个成员,并比较高斯和非高斯组的整体特征,发现非高斯组的VDPs是不同于那些被归类为高斯。

英文摘要:

The dynamical state of galaxy groups at intermediate redshifts can provide information about the growth of structure in the universe. We examine three goodness-of-fit tests, the Anderson--Darling (A-D), Kolmogorov and chi-squared tests, in order to determine which statistical tool is best able to distinguish between groups that are relaxed and those that are dynamically complex. We perform Monte Carlo simulations of these three tests and show that the chi-squared test is profoundly unreliable for groups with fewer than 30 members. Power studies of the Kolmogorov and A-D tests are conducted to test their robustness for various sample sizes. We then apply these tests to a sample of the second Canadian Network for Observational Cosmology Redshift Survey (CNOC2) galaxy groups and find that the A-D test is far more reliable and powerful at detecting real departures from an underlying Gaussian distribution than the more commonly used chi-squared and Kolmogorov tests. We use this statistic to classify a sample of the CNOC2 groups and find that 34 of 106 groups are inconsistent with an underlying Gaussian velocity distribution, and thus do not appear relaxed. In addition, we compute velocity dispersion profiles (VDPs) for all groups with more than 20 members and compare the overall features of the Gaussian and non-Gaussian groups, finding that the VDPs of the non-Gaussian groups are distinct from those classified as Gaussian.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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