首页> 外文期刊>Law, Probability and Risk >The U.S. Supreme Court finds a statute's description of a simple statistical measure of relative disparity ‘ambiguous’ allowing the Secretary of Education to interpret the formula: Zuni Public School District 89 v. U.S. Department of Education II
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The U.S. Supreme Court finds a statute's description of a simple statistical measure of relative disparity ‘ambiguous’ allowing the Secretary of Education to interpret the formula: Zuni Public School District 89 v. U.S. Department of Education II

机译:美国最高法院发现一项法规对相对差异“模棱两可”的简单统计量度的描述,使教育部长可以解释该公式:Zuni公立学区89诉美国教育部II

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摘要

The degree of deference courts give to the interpretation of a statute made by the government agency administering it arises in a variety of legal contexts. This spring the U.S. Supreme Court decided a case concerning the interpretation of a formula used to determine whether the educational funds available to the school districts of a state are ‘equalized’. A state with an ‘equalized’ school system receives most of the federal money given to school districts in the state to compensate them for the real estate tax revenue lost due to the presence of a large federal facility in the district. The main issue concerned the calculation of the percentiles used to determine the school districts, called local educational agencies (LEAs) as the formula uses the 5th and 95th percentiles. In order for the funding of education in a state to be ‘equalized’, the disparity (D) or ratio of the difference between the per-pupil expenditures of the LEAs at these two percentiles to the fifth percentile needs to be less than or equal to one-fourth. After arranging the LEAs in increasing order of their per-pupil expenditures, the government calculated the percentiles by weighting the LEAs by the number of students and found that New Mexico had an ‘equalized’ system. When the LEA per-pupil expenditure data are not weighted, however, the disparity measure exceeds 0.25. Two impacted LEAs interpreted the law as specifying the unweighted calculation and sued the Department of Education as they would receive substantially more money if the entire federal payment went to the impacted LEAs. The Court found that the statute was ambiguous and that the government's interpretation was permissible. The opinion also gave four other ‘interpretations’, including the one offered by the plaintiffs, that it would also deem permissible. Both the majority and the dissenting opinions are summarized. The results of two informal surveys of statisticians who read and interpreted the formula are reported. Most favoured the ‘unweighted’ calculation and none agreed that the wording of the statute was consistent with all five interpretations the Court would allow. From the opinion and transcript, it appears that the Court might have believed that the government's approach was an ‘approximation’ to what the disparity would be if it were calculated from data on each pupil, had such data been available. Using data from a classic school segregation case, where the disparity between schools with predominantly minority students was 0.70, we formed a ‘state’ with 22 LEAs by randomly aggregating five schools to each state. In 10 000 randomly formed ‘states’, the largest disparity calculated from the LEA-wide data was 0.38, just over one-half the true disparity. Three-fourths of these state systems had disparity measures less than 0.25 and would be deemed ‘equalized’ even though the overall disparity was nearly three times as large. Since using district-wide expenditure data substantially underestimates the value of the disparity calculated on school-wide data, it is likely to underestimate the disparity between students even more. This result applies to the interpretations of both parties. If the purpose of the Federal Impact Aid Act is to ensure that students in schools affected by a federal presence receive an adequate education, Congress needs to modify the formula. Currently, a state with only a few impacted LEAs can be ‘equalized’ even if all of them are at the low end of the distribution and are ‘deleted’ from the current calculation.
机译:尊重法院的程度可以解释由政府机构管理的法规在各种法律背景下的产生。今年春天,美国最高法院裁定了一起案件,该案件涉及一个公式的解释,该公式用于确定该州学区可获得的教育经费是否“均衡”。拥有“均衡”学制的州将大部分联邦资金分配给该州的学区,以补偿因学区中存在大型联邦设施而导致的房地产税收入损失。主要问题涉及用于确定学区的百分位数的计算,称为本地教育机构(LEA),因为该公式使用第5个百分位数和第95个百分位数。为了使州的教育经费达到“均等”,这两个百分位数的LEA的人均教育支出与第五个百分位数的人均教育支出之间的差异(D)或差异必须小于或等于到四分之一。在将LEA按学生人均支出的升序排列之后,政府通过对LEA按学生人数进行加权来计算百分位,并发现新墨西哥州拥有一个“均等化”的系统。但是,如果未对LEA人均支出数据进行加权,则差异衡量标准将超过0.25。两名受影响的LEA将法律解释为指定了未加权的计算,并起诉教育部,因为如果将全部联邦款项支付给受影响的LEA,他们将获得更多的钱。法院认为该法规含糊不清,政府的解释是允许的。该意见还给出了另外四项“解释”,其中包括原告提供的一种解释,它也被认为是允许的。总结了多数意见和反对意见。报告了对阅读和解释该公式的统计学家进行的两次非正式调查的结果。大多数人赞成“不加权”的计算,没有人同意该法规的措词与法院允许的所有五种解释一致。从意见和笔录来看,法院似乎认为政府的做法是对差距的“近似”,如果可以从每个学生的数据中计算出来的话,将是这样。使用经典的学校隔离案例中的数据(其中少数族裔学生的学校之间的差异为0.70),我们通过将5所学校随机汇总到每个州,形成了一个拥有22个LEA的“州”。在1万个随机形成的“州”中,根据LEA范围的数据计算出的最大差异为0.38,仅是真实差异的一半。在这些州制中,四分之三的差距小于0.25,即使总体差距几乎是三倍,也将被视为“均等化”。由于使用学区范围的支出数据会大大低估根据学校范围的数据计算出的差异的价值,因此很可能会低估学生之间的差异。此结果适用于双方的解释。如果《联邦影响援助法》的目的是确保受联邦政府影响的学校中的学生获得适当的教育,则国会需要修改公式。当前,只有几个受影响的LEA的州可以被“均衡化”,即使所有LEA处于分布的低端并从当前计算中被“删除”。

著录项

  • 来源
    《Law, Probability and Risk》 |2008年第3期|p.225-248|共24页
  • 作者

    Joseph L. Gastwirth†;

  • 作者单位

    Department of Statistics, George Washington University, Washington DC 20052, USA;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
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