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拟合优度检验

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Contrasting with control treatment, the fit of the Exponential distribution in characterizing fine root longevity was elevated under N amendment treatment, at the same time, the distributions of Welibull, Lognormal, and Normal were still better in character. All above indicated that N fertilization treatment maybe only alter the absolute value of longevity frequency, but the ratio between longevity frequencies was the same as before. So the model of longevity was unalterable.(5) Regardless analyzed with whichever categories i.e.

对各生长季细根寿命的统计分布拟合检验的结果与对照相似,施肥仅仅提高了总体分布对细根寿命的拟合优度,但威布尔、正态以及对数正态分布仍然拟合最好,这说明施肥可能仅改变了不同细根寿命频数的绝对值,但各寿命频数间相对比例并未发生明显变化,寿命理论分布的类型保持不变。

The paper consists of three parts. First, we give the calculation for every order central moment for the Logistic population, mean vector and covariance matrix of the order statistic of random sample from the Logistic population, and means of several special functions for the order statistic of random sample from the Logistic population. Secondly, we discuss the parameter estimation for the Logistic population. Finally, we solve the question about the goodness-of -fit test for the Logistic population.

研究的主要内容分三部分:第一部分是关于Logistic总体各阶中心矩、样本次序统计量期望向量与协方差阵及若干个特殊的样本次序统计量函数期望的计算问题;第二部分是关于Logistic总体分布参数的估计问题;第三部分是关于Logistic总体的拟合优度检验问题。

RESULTS: The author tested the generator with 500 random numbers in NIST FIPS 140 1 and χ2 R Squared test and the result showed that it fitted the need of independent and uniform distribution.

结果:生成的500个随机数通过了NIST FIPS 140 1和χ2拟合优度检验(α=0.05),表明本方法所生成的随机数满足独立性和分布均匀性的要求。

Model selection, testing goodness of fit, estimation of parameters, measures of association and

模型选择、拟合优度检验、参数估计,检测显著性来源的关联和方法的度量。

A new goodness of fit test, K test,is developed for Γ distributions.

基于前人提出的统计理论,就工程中常用的Γ分布给出了一种新的拟合优度检验方法———K检验。

Model selection, testing goodness of fit, estimation of parameters, measures of association and methods for detecting sources of significance.

模型选择,拟合优度检验,参数估计,检测显著性来源的关联和方法的度量。

Wavelength calibration coefficients were calculated through regression analysis after several ordinal numbers of CCD's pixels corresponding to Mercury-Argon Lamp's spectral lines were measured. The residuals of certain spectral lines were computed using the coefficients measured and the ones from factory, the degree of fitting for regression equation was estimated using the new coefficients. The final results validated the wavelength calibration model.

在测量了多条光谱线对应的CCD像元的序数之后,使用回归分析得到波长定标的系数,连同光谱仪出厂时的波长定标系数,计算出了两组定标系数在给定的一些谱线位置处的残差,并利用实验所得的系数对回归方程进行了拟合优度检验,结果表明波长定标模型是有效的。

The first approach was a qualitative test method, and gave statistical correlation trend. Second and third approaches were quantitative test methods, and indicated the goodness of fitting and the ranges of the residual estimation errors.

拟合相关图法属定性检验,给出了统计相关趋势;回归分析法和残差估计误差指示法为定量检验,给出了模拟计算值与实测值间的拟合优度和残差估计误差的范围。

Limiting the alternatives of model by residual variance, together with parameters estimation, the correlation of the estimates matrix, the autocorrelation check of the residuals and the fitting test, can help to search for suitable model quickly and accurately.

通过残差方差定阶法缩小模型选择范围,再结合模型的参数估计、相关系数矩阵、白噪声检验和拟合优度检验最后确定模型的思路,有利于快速准确找到合适的模型。

Furthermore, parameter calculation and testing goodness of fit were made with AMSAA- BISE model fitting.

并用AMSAA-BISE模型进行了增长趋势检验和拟合优度检验

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