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首页> 美国政府科技报告 >THE USE OF SAMPLE RANGES AND QUASI-RANGES INSETTING EXACT CONFIDENCE BOUNDS FOR THE POPULATION STANDARD DEVIATION Ⅱ. QUASI-RANGES OF SAMPLES FROM A NORMAL POPULATION-PROBABILITY INTEGRAL AND PERCENTAGE POINTS; EXACT CONFIDENCE BOUNDS FOR
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THE USE OF SAMPLE RANGES AND QUASI-RANGES INSETTING EXACT CONFIDENCE BOUNDS FOR THE POPULATION STANDARD DEVIATION Ⅱ. QUASI-RANGES OF SAMPLES FROM A NORMAL POPULATION-PROBABILITY INTEGRAL AND PERCENTAGE POINTS; EXACT CONFIDENCE BOUNDS FOR

机译：样本范围和准范围的使用为人口标准偏差提供了确切的信心限制Ⅱ。正常人口 - 样本积分和百分点的样本的准范围;确切的信心

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摘要

For a normal population, reasonably good interval estimates of the population standard deviation o may be obtained from one suitably chosen sample quasi-range. The coefficients of the r th quasi-range wr in exact confidence boundsnfor o- are found by taking the reciprocals of percentage points of the (standardized) quasi-range Wr = wr /<б, which are themselves found by inverse interpolation in a table of the probability integral. A discussion is given of criteria for best interval estimators, and a comparison is given of the results of interval estimation of the standard deviation o of a normal population from one quasi-range w when the optimum value of r is chosen on the basis of two of these criteria:(1) minimizing the expected length of the confidence interval and (2) minimizing the mean squared deviation of the confidence bounds from the true value. Alternatively, these criteria may be stated as maximizing (1) the effectiveness or (2) the efficiency of the interval estimators. The following tables for samples of size n = 2(l)20 (2)40(10) 100 from a normal population are included:(1) probability integral of the r^ quasi-range, r = 0(l)8; (2) percentage points of the r31 quasi-range, r=0(l)8; (3) coefficients of the rth quasi-range in exact lower confidence bounds for or, r = 0(1) 8; and (4) upper and lower confidence bounds for o, based on r quasi-range, where r is chosen so as to maximize (a) the effectiveness of the upper confidence bound, (b) the effectiveness of the central confidence interval, (c) the efficiency of the upper confidence bound, or (d) the efficiency of the central confidence interval.

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    H. LEON HARTER;

  • 作者单位
  • 年度 1963
  • 页码 1-245
  • 总页数 245
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 工业技术;
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