统计假设检验

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。

This paper uses SPSS software to research the problem and discover some results: The relation between board size and EPS is remarkable but actually U conic section relations.

本文通过SPSS软件进行描述性统计，并利用所得数据和设计的模型，对董事会特征与公司绩效进行相关性分析，对提出的假设进行检验。

It is shown that The asymptotic null distribution of the modified likelihood ratio test proposed is derived and found to be relatively simple and easily applied.

最新的文献表明这个提出的修正似然比检验统计量在零假设下的渐近分布是比较简单，并且是容易应用的。

In the study of the asymptotic properties, the testing statistics converges to a zero mean Gaussian process and is very sensitive to the to the local alternatives converging to the null one at a parameter convergent rate.

研究发现，文中的检验统计量在原假设下渐近收敛于一个零均值的高斯过程，并且对以参数速度收敛到原假设的被择分布特别敏锐。

Firstly, reviewing and commenting on foreign and domestic literature about nonrecurring gains and losses; secondly, analyzing the definition and characteristics of nonrecurring gains and losses and the reason to form nonrecurring gains and losses; following, examining the research hypothesis using descriptive statistics and correlation analysis and regression of price and return model, furthermore optimizing the price model and return model through adding year variable and district variable which was divided according the return of the extraordinary items as dummy variables in the empirical research part.

文章先对国内外关于非经常性损益的研究现状进行回顾与述评；其次对我国关于非经常性损益的界定及其形成动机进行了分析；紧接着实证部分采用描述性统计、相关分析和运用价格模型和收益模型进行回归分析，对本文提出的研究假设进行检验，并加入年度虚拟变量和按照非经常项目利润率进行划分的区间虚拟变量对价格模型和收益模型进一步优化，使线性回归方程的拟合优度R2得到显著提高，利用优化后的模型对研究假设进一步检验。

Several SP2 mutant plants were obtained from induced Impatiens balsamina L.seeds by space flight,and their blades were investigated in this paper.The writer calculated the K-S statistics and the levene statistics,also made use of SPSS 11.5 to have the independent-samples t test and the univariate in the prerequisite of some fundamental presumptions.

对航天诱变凤仙花SP2代若干单株的叶片长度和宽度进行了统计分析，对试验数据进行了柯尔莫哥罗夫-斯米尔诺夫检验，计算了样本的列文统计量，并采用Spss 11.5统计分析软件检验了基本假设的满足条件，进行了独立样本t检验。

Therefore, it has the important scientific research value in studying the relationship between the changing of the parameters (including the temperature, the humidity, the grain radius and so on) and the electricity and radioactivity of the medium. Applied the count statistics and the numeral value analysis, the paper analyzes, concludes and contrasts the data sufficiently through the experimentation, and acquires the following results that the resistivity and the polarizability both have the negative relationship with the temperature variety of medium from 0℃ to 200 ℃. The parallactic poalarizability is consistent with the temperature variety in the plan as well as the section, but their trends are exactly opposite. Power supply voltage has no considerable influence to the resistivity and polarizability by using duality variance analysis, however, the detecting depth and the plan position influence them greatly. Different AB/2 interval that increases by degree does not influence variance and the average value of the resistivity and the polarizability remarkably. By using the least double multiplication, the relationship of temperature-time-the influence radius of the fire source is carried up by the mathematic drawing up. After discussing their correl ation, I educe the influence radius of the fire source and carry out the 'trend analysis and forecast to the spacial changing of the temperature and the parallactic polarizability in the end.

本文通过试验并应用数理统计和数值分析等相关理论对所得到的试验数据进行了分析、归纳和对比，得出了介质温度变化在0-200℃内视电阻率和视极化率与温度均表现为负相关性；视极化率与温度在剖面和平面上的变化形态具有很好的一致性，但变化趋势相反；由二元方差分析可得供电电压对视电阻率和视极化率无显著影响，但探测深度和平面位置对视电阻率和视极化率有显著影响；通过假设检验可证不同AB／2递增间隔，对视电阻率和视极化率的方差和平均数影响都无显著性差异；应用最小二乘法对温度——时间——火源影响半径之间的关系进行了数学拟合，讨论了它们之间的相互关系，得出了火源影响的有效半径，太原理工大学硕士研究生学位论文并对温度和视极化率的空间变化作了趋势分析和预测。

Hypothesis testing is a usual method of statistical technique ,which is used for deducing checkout discrepancy of laboratories.

假设检验是统计技术较常用的一种分析测定结果进而推断化验室测定的方法、人员、实验室是否存在系统差异的技术。

Based on the A-stock market panel data of 292 non-financial public companies from 2001 to 2005. This dissertation adopts the integrated methods of normal research and empirical research to analyze the relationship between board governance and audit fees.By utilizing the board scale ,the lead structure of directorate,the composing of company's board ,the establishment of professional committees,the operation of the board of directors and so on as descriptive variables ,this dissertation has verified seven hypothesises.The conclusions are as follows:when the board-chairman and the general manager of the company are the same man,audit fees are more expensive.

本文采用规范研究和实证研究相结合的方法，利用经典审计收费模型，对我国沪深两市292家非金融类A股上市公司2001-2005年的情况进行统计检验，分析了董事会治理特征与审计收费的关系，采用了董事会规模、董事会的领导权结构、董事会的构成、次级委员会的设置、董事会成员持股情况、董事会会议情况等能对董事会治理做数量描述的变量，用实证研究的方法检验了提出的七个假设。

In order to test theory hypothesises,this paper uses online questionnaire to collect data and then carries out statistical analysis.The main research approaches used to carry out quantitative analysis are statistical description,paired sample T-test,ANOVA,components analysis and multiple linear regression analysis.

为了验证理论假设，本文通过网络在线填写问卷的方式收集数据，并综合运用了描述性统计、配对样本T检验、方差分析、因子分析和多元线性回归分析等数理统计方法展开普遍意义上的定量分析。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。