6.3 次序统计量 / Order Statistics 定义:基于对样本数据进行排序后得到的统计量, X_{(1)} \leq X_{(2)} \leq \ldots \leq X_{(n)} 。 样本中位数 / Sample Median:如果样本数量是奇数,中位数是中间的数字;如果是偶数,中位数是中间两个数字的平均值。 m_{\frac{1}{2}} = \begin{cases} ...
dividing the sum of a set of quantities by the number of quantities in the set. For example, if there are three test scores 70, 83, and 90, the arithmetic mean of the scores is their sum (243) divided by the number of scores (3), or 81. See more atmean. Compareaverage,median,...
Abstract A judgment post-stratified (JPS) sample is used in order to develop statistical inference for population quantiles and variance. For the p th orde... O Ozturk - 《Computational Statistics & Data Analysis》 被引量: 12发表: 2014年 Characteristics of the audiometric notch as a clinical...
Tables Describing Small-Sample Properties of the Mean, Median, Standard Deviation and Other Statistics in Sampling from Various Distributionsdoi:10.2307/2982306Vajda S.Journal of the Royal Statistical Society Series A: Statistics in Society
Throughout the paper, we define the following summary statistics: a = the minimum value, q 1 = the first quartile, m = the median, q 3 = the third quartile, b = the maximum value, n = the sample size. The {a,q 1,m,q 3,b} is often referred to as the 5-number summary [4...
Control median testSimulationTwo tests are proposed for testing equality of the medians of two distributions on the basis of right cansored data. The tests do not require any assumption on the scales or the shapes of the distributions and can be used without assuming equal censorship in the ...
Unfortunately, the median tends to be less accurate and more biased than the mean when sample sizes are less than about 25. In these circumstances, the geometric mean (average of the log values transformed back) tends to be a better measure of the middle. When sample sizes get above 25, ...
The probability distributions are given for the mean of the three smallest ordered observations (m) and for the median of all observations (m d ) in samples of size five drawn from a normal distribution with unit variance and zero mean. The Neyman-Pearson theory is used to demonstrate the ...
median procedureGupta type selection rulecontaminated population/ C1140Z Other topics in statisticsThe problem of selection of a subset containing the largest of several location parameters is considered, and a Gupta-type selection rule based on sample medians is investigated for normal and double ...
A sampling distribution is a concept used in statistics. It is aprobability distributionof a statistic obtained from a larger number of samples drawn from a specific population. The sampling distribution of a given population is the distribution of frequencies of a range of different outcomes that ...