卡方分布

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。

Empirical distribution function ; mean of residual life function ; esti mation minimum distance ; estimation minimum chi-square

经验分布函数；剩余期望函数；最小距离估计；卡-方估计

Results: GLMMs allow the index may be one of the exponential family (Contimuum distributions including Nomal ,beta distribution ,chisquared distribution etc;Disperse distributions including Binomal ,Poisson and inverse Binomal etc), the vecor of expected means of the index is linked to the model parameters by a link function and model the linear equation, simple the calculator procedure.

结果： 广义线性混合效应模型允许临床疗效评价指标是指数家族中任意分布（如：连续分布包括正态分布、beta分布、卡方分布等；离散分布包括二项分布、泊松分布、负二项分布等），可以通过连接函数将疗效指标的均数向量与模型参数建立线性关系，简化运算过程。

Acquired conclusion was that the sample mean value submitted to normal distribution, and the sample variance was composed of a number of linear sum of random variable submitted to Chi-Squared distr.

得出的结论是：样本均值服从正态分布，样本方差由若干个服从卡方分布的随机变量的线性之和组成；样本均值的期望等于各管落点期望的算术平均值，方差为各管方差的算术平均值；样本方差是各管落点总体平均方差的无偏估计，方差与各管落点散布的差异相关；样本均值与方差相互独立的充要条件是：各管落点属于独立同分布样本。

Further, the mean weight of each size of bean was used to predict the egg distribution on different sizes of hosts, and Chi-square test was applied to test the goodness of fit between the observed and predicted distributions.

於是我们更进一步尝试以各等级寄主重量所占比例来预测产卵分布，并以卡方分析来检测其与实际产卵分布的差异。

the article examines the characteristics of foreign exchange returns distribution,coupling with kinds of foreign exchange datas, figures out parameters of model by using variance gamma model.the empirically results ofkolmogorov-smirnov test and goodness of fit chi-square test shows that v.g.

本文运用方差gamma模型对外汇收益分布特征进行对比拟合分析，并结合几种被选汇率数据对模型参数进行估计。ks检验和卡方拟合优度检验的实证结果表明v.g。

The results indicated that there existed significant variation for the density of glandular trichome among different parents and different individuals of F2 generation.

研究结果表明：烤烟腺毛密度在亲本间和杂交组合F2代个体间存在着较大的遗传变异，F2代不同个体腺毛密度的次数分布经卡方测验符合正态分布曲线，说明腺毛密度具有数量性状的遗传特征，其广义遗传率和狭义遗传率分别为83.3%和26.6%。

Due to the violation of the PA condition, the distributions of Wald statistics and Score statistics based on GLS estimators are noncentral $\chi^{2}$ distributions. The efficiency of testing based on the GEE method is largely influenced.

由于PA条件不成立，回归系数的GLS估计不再是渐近无偏的，构造的Wald和Score统计量的分布不再是中心卡方分布，从而对于检验的效率也产生了严重影响。

In this experiment, we affirmed the best experiment reaction and detection condition in 5'-UTR,exon 1 and 3'-UTR of IGF-I gene and found four mutation Loci (23F/R,26 F/R,28 F/R,29 F/R) in New Yangzhou chickens, Xueshan chickens, White Leghorns chickens, respectively.

雪山鸡等位基因频率为：26F/R A：0.8200，B：0.1800；28F/R A：0.3819，B：0.6181；经基因型分布卡方检验，发现新扬州鸡上的两个多态位点处于哈代-温伯格平衡(P=0.929、P=0.966)，雪山鸡不处于哈代-温伯格平衡(P=0.002、P=0.112)，并发现多态位点存在品种分布差异。

And demographic variables (gender, age, living status, educational level, income resources and data resources), medical factors (body mass index, hearing, vision, sleeping quality and disease number) and lifestyle factors (smoking, drinking, exercise habit, marriage status, religion, occupation before retirement and social participation at present) before 50 y/o and at present were recorded as independent variables.

统计分析：利用描述性统计，了解所有因子分布以及生活品质表现，并以逐步复回归以建立生活品质预测模式；成功老化方面，利用卡方分布与简单逻辑式回归比较各变项在成功老化比例的差异。

Objective: To study the effect of polycythemia on blood oxygen saturation.

裴蕾目的：观察RBC剧增而引起的高粘血症对血氧饱和度的影响。

Based on SIMPLER algorithm in the curvilinear body-fitted coordinates, the calculations were performed for Pr=0.7, Re=10~1000 on non-orthogonal non-staggered grids which are generated by elliptic equation systems.

采用曲线坐标系下压力与速度耦合的SIMPLER算法，数值研究了周期性渐扩渐缩波纹通道内脉动流动与换热情况，流动Re数的范围为10~1000，Pr数为0.7。