置信区间

We then calculate the sample average and the standard deviation to construct confidence interval, and the related t statistic.

计算样本均值，标准差和对应的置信区间以及t值。

NMath Stats contains a data table class with functions for computing descriptive statistics, such as mean, variance, standard deviation, percentile, median, quartiles, geometric mean, harmonic mean, RMS, kurtosis, skewness, and many more; PDF, CDF, inverse CDF, and random variable moments for a variety of probability distributions, including normal, Poisson, chi-square, gamma, beta, Student's t, F, binomial, and negative binomial; Combinatorial functions, such as factorial, log factorial, binomial coefficient, and log binomial; Multiple linear regression; Basic hypothesis tests, such as z-test, t-test, and F-test, with calculation of p-values, critical values, and confidence intervals; One-way and two-way analysis of variance and analysis of variance with repeated measures; Multivariate statistical analyses, including principal component analysis and hierarchical cluster analysis.

nmath统计包含一个数据表的阶层与职能计算描述性统计，如平均，方差，标准差，百分位，中位数， 25 ％，几何平均数，调和的意思是，有效值，峭度，偏度，还有更多的； PDF格式，民防部队，逆民防部队，并随机变量矩的各种概率分布，包括正常，泊松，卡方检定，伽玛，测试版，学生的吨，男，二项式，并负二项分布；组合的功能，例如阶乘，日志阶乘，二项式系数，并登入二项式；多元线性回归；基本假设测试，如的Z测试， t检验， F检验，计算p值，临界值，和置信区间；之一，双向和双方法方差分析和方差分析与反复的措施；多元统计分析，包括主成分分析和聚类分析。

The venom of Chinese bird spider Ornithoctonus hainana has many toxic components. The venom was distilled from spider ornithoctonus hainana by tube. The content of proteins in venom is 79.6%.The LD50 values of venom is 0.042mg/g.

本文采用软管刺激排毒法从海南捕鸟蛛中采取了毒液，对粗毒液进行分析发现，粗毒中蛋白含量为79.6％，粗毒对蟋蟀的LD_(50)值为0.042mg／g，LD_(50)的95％置信区间为0.039～0.045mg／g。

For df=n-k-1=25, a 95% confidence interval for any bj is given by

如果自由度为25，那么对任意bj ，95％的置信区间为

Chlorophyll Content;Variable Cluster;Color Characteristic;Linear Regressive Model;95% Confidence Interval

叶绿素浓度；变量聚类；颜色特征；线性回归模型；95%置信区间

This model was tested for data predicting in CNET field and got a good result.

用业务数据测试该模型，得到了快速的、非常精确的预测效果和完备的预测值置信区间。

In order to improve the accuracy of segmentation of region growing and reduce the number of user interaction,a segmentation algorithm of region growing based on confidence interval and region competition is presented.

为了提高区域生长的分割精度，减少种子点选取对分割结果的影响和用户交互量。提出一种通过置信区间和区域竞争计算目标区域最优阈值区间，用于医学序列图像的区域生长分割算法。

Confidence intervals are the most prevalent form of interval estimation.

置信区间是区间估计中最常用的一种形式。

When sample size is not large, conclusion shows that the precision of the interval estimation of parameter is remarkably increasing if the data from Tables in this paper are used.

通过计算比较，得出结论：在小样本的情况下，用本文所求的置信区间作为未知参数的区间估计将会使估计精度得到显著的提高。

Here, using the mathematica software and the outcome of the computation , we can see which interval is better easily. In chapter 2, the author firstly studies three two-stage simultaneous confidence intervals for the pairwise treatments with the same precision and reliability in a balance one-way classification model ,then work out the optimal sample size of the first stage by numerial computation.

第2章作者讨论了平衡单向分类模型中，成对效应对照的三种两步同时置信区间，接着在保证三种区间可靠度和精度相同的情况下，利用数值计算的方法对最优第一步抽样量及平均抽样次数进行比较。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。