二项检验

Results Family aggregation of MS was found by chisquare test for fitness according to binomial distribution and beta binomial distribution.

结果 用二项分布和β二项分布进行拟合优度的χ2检验，发现MS的患病情况存在家庭聚集现象。

Results Family aggregation of MS was found by chi-square test for fitness according to binomial distribution and beta binomial distribution.

结果 用二项分布和β-二项分布进行拟合优度的χ^2检验，发现MS的患病情况存在家庭聚集现象。

A sampling inspection method of Binomial distribution based on sequential posterior odd test was discussed in detail, which was used to the test for torpedo system.

Bayes理论是分析研究具有小子样特点鱼雷可靠性的有效方法，文中基于序贯验后加权检验的思想，给出针对二项分布的抽样检验基木方法，并将其应用在鱼雷系统抽样检验试验中。

According to the study of former researcher, the paper puts forward basic hypothesis of building cluster brands, and constructs the model of transformation for the mode of cluster brand. The paper takes Datang socks cluster for example, and tests the model with t-test and binomial distribution test.

本文根据国内外学者的相关研究，提出建设集群品牌的基本假说，据此构建了集群品牌发展模式转换模型，并以浙江大唐袜业集群的品牌发展为实证，运用t检验和二项分布检验对该模型及假说进行了检验。

Events,Operation and Relation of Sets, Classical Probability, Geometrical Probability , Statistical Stability of a Frequency, Axioms of Probability, Conditional Probability, Total Probability Theorem, Bayes' Rule,Independent Events,Independent Repeated Trials, One Dimensional Random Variables, Discrete Random Variables, Distribution Function of a Random Variables , Continuous Random Variables, Normal Distribution, Distribution of a Function of a Random Variable, Multidimensional Random Variables, Joint Distribution Function, Marginal Distribution Function,Discrete Two—Dimensional Random Variables,Continuous Two—Dimensional Random Variables, Independent Random Variables, Distribution of Functions of Random Variables,Expectation,Variance, Covariance, Coefficient of Correlation, Bivariate Normal Distribution, Law of Large Numbers, The Central Limit Theorems, Sample and Population ,Chi—Squared, T and F Distributions , Sampling Distributions , Point Estimation , Interval Estimation , Testing Hypotheses , A Test of Significance for Parameters in a Single Sample From a Normally Distributed Population , A Test of Significance for Parameters in Two Sample From Normally Distributed Populations .

本课程的主要内容：概率的概念与运算、随机变量及其分布、随机变量的数字特征与极限定理、数理统计的基本概念、估计和检验的基本方法，随机事件与概率随机事件、事件的关系与运算、几何概率、统计概率等，条件概率、全概率公式、贝叶斯公式、事件的独立性、二项概率公式，随机变量的概念、离散型随机变量、随机变量的分布函数、连续型随机变量、随机变量函数的分布，多维随机变量及其分布函数、边缘分布函数、随机变量的独立性、二维随机变量函数的分布，数学期望、方差、协方差和相关系数、大数定律、中心极限定理，总体与样本， X 2-分布、 t-分布和 F-分布，统计量及抽样分布，假设检验的基本概念、单个正态总体参数的显著性检验、两个正态总体参数的显著性检验。

Generalized Linear Models are an extension of the linear modeling process that allows models to be fit to data that follow probability distributions other than the Normal distribution, such as the Poisson, Binomial, Multinomial, and etc.. Generalized Linear Models also relax the requirement of equality or constancy of variances that is required for hypothesis tests in traditional linear models. Hypothesis tests applied to the Generalized Linear Model do not require normality of the response variable, nor do they require homogeneity of variances.

广义线性模型是线性模型的扩展，对数据的要求不必局限于服从正态分布，同时放松了对"方差一致性"的要求，这在传统的一般线性模型假设检验中是必不可少的，而在广义线性模型假设检验中，响应变量也可以服从其它分布（如：泊松分布，二项分布及多项分布等）。

I have calculated the species diversity for 3 layers (i.e. tree layer, shrub layer and herb layer) by means of various biodiversity index formulas and analyzed the relative species abundance using 9 models of the probability density distribution functions, such as, 3 Distribution (or Beta Distribution, Weibull Distribution, Lognormal Distribution, Poisson Distribution, Binomial Distribution, Negative Binomial Distribution ,Geometric Distribution, etc.. chi-square analyses were conducted on species distribution by using the chi-square test formulated by Pearson to test which distribution function is better, the result of chi square test made it possible to reject the other 8 distribution functions, theβdistribution function performs better than other probability density functions, it has a very close approximation, which can be used for the description of relative abundances of species in forest communities in this data set.

在相对多度研究上选用了九种概率分布模型，这九种概率密度分布函数依次为：贝塔分布、Weibull分布、对数正态分布、泊松分布、二项分布、负二项分布、几何分布、对数分布和奈曼A型分布，并进行了严格的卡方检验，结果表明：其它八种分布均被遭到拒绝，只有贝塔分布获得了通过，且拟合的结果非常理想。

In this paper, a computer programme is discussed, which, as a mathema-tical model, can be used to calculate the probability distribution as respects random variable-normal, lognormal, binomial, negative binomial and Poisson distributions, and can be used for x2 test of goodness of fit as well.

本文是计算随机变量概率分布的数学模型—正态分布，对数正态分布、二项分布、负二项分布。普阿松分布及检验X~2适度检验的一个计算机程序。

"Davidia involucrate" was a rare valuable and endangered plant in China. In this article, We studied the distribution pattern of its population with t test of Dispersal index, X^2 test of Poisson distribution and F test of Morisita's index. Its assemble intensity is also analyzed through Negative binomial index, Green's index, Lloyd's index and Patchness index.

采用扩散系数的t检验、Poisson分布的x^2拟合检验及Morisita指数的F检验来研究珙桐种群的空间分布格局类型，用负二项参数、Green指数和Lloyd的平均拥挤度m(上标*与聚块性指标来研究珙桐的聚集强度。

The partly cold-adaptation stratagem of the high altitude amphibian tadpole were researched in the laboratory by analyzing the high altitude amphibian tadpole of Scutiger boulengeri mainly on endpoints related to the dynamic variation of the micro-spatial behavior distribution patterns, the experiment of the temperature tolerance, and the enzyme content and activity of the lactic acid dehydrogenase isozyme in special temperature condition.The behavior distribution of the Scutiger boulengeri t...

西藏齿突蟾蝌蚪在不同温度的行为分布是一连续、动态过程，需用多种检验方法综合利用才能进行判断；在15℃，除低海拔分布的西藏齿突蟾种群外所有实验物种蝌蚪均符合负二项分布、NeymanⅡ型分布；在10℃，高海拔两栖类蝌蚪均符合负二项分布、NeymanⅡ型分布；在5℃、0℃低温时，高海拔两栖类不同分组的西藏齿突蟾蝌蚪的负二项分布、NeymanⅡ型分布均呈现明显差异，这可能与高海拔两栖类蝌蚪在低温条件下通过不断地改变其行为分布方式来避免自身被冻伤有关。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。