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Chapter 1

Chemical Applications of Statistical Analyses

国际单位制单位:2019 年重新定义
国际单位制单位:2019 年重新定义
Measurement is integral to analytical chemistry. Each record comprises a number – denoting the magnitude  – and the unit – a ...
自由度
自由度
The degree of freedom is the number of independent pieces of information or sample values required to perform any calculation. The degrees of freedom vary ...
统计分析:概述
统计分析:概述
An analysis is usually conducted by replicated sampling or repeated measurements on the same sample. This leads to scattered results rather than a single ...
错误类型:检测和最小化
错误类型:检测和最小化
Error is the deflection of an obtained result from the expected or true results of an experiment. This happens due to the uncertainty associated with the ...
系统误差:方法学和抽样误差
系统误差:方法学和抽样误差
Systematic errors, depending on their source, are of four types – sampling, instrumental, method, and personal errors. Sampling errors occur due to ...
随机误差
随机误差
Indeterminate or random errors arise from several uncontrollable variables in successive measurements. Since these errors can neither be predicted nor ...
计算结果的标准差
计算结果的标准差
A plot of relative deviation from the mean and its frequency of occurrence appears as a Gaussian curve. This probability distribution curve of a ...
<em>z</em> Scores 简介
z Scores 简介
The z score, or standardized score, is the number of standard deviations that a given value is away from the mean. It is one of the commonly used measures ...
不确定性:概述
不确定性:概述
The uncertainty reflects the possible range of values in which the result of a measurement can exist. However, uncertainty varies from error, which is the ...
随机误差的不确定性传播
随机误差的不确定性传播
In an experiment, multiple arithmetic operations are often required. Here, the uncertainty associated with the first measurement propagates to the next in ...
系统误差的不确定性传播
系统误差的不确定性传播
The atomic mass of an element obtained from different sources changes slightly due to the variation in relative isotope concentration from one source to ...
不确定性:置信区间
不确定性:置信区间
Standard deviation provides a measure of nearness between the sample mean and the true mean reliably for a large number of measurements. So, when there ...
显著性检验:概述
显著性检验:概述
Is the difference between the two values due to an unexplainable random error or a systematic error that can be rationalized by a hypothetical model? The ...
识别统计显著性差异:<em>F</em> 检验
识别统计显著性差异:F 检验
The F-test checks if the difference between two variances is too large to be explained by an indeterminate error. It compares the variance of a sample and ...
比较实验结果:学生 <em>t</em> 检验
比较实验结果:学生 t 检验
The influence of changing the method, the sample, or the analyst on the analysis results is studied by altering only one in a pair of experiments. The ...
粗差检测:<em>Q</em> 检验
粗差检测:Q 检验
Outliers are those data points extremely different from the rest of the data set. Dixon's Q-test is a significance test that helps determine whether ...
校准曲线:线性最小二乘法
校准曲线:线性最小二乘法
A calibration curve is a mathematical relationship between the instrument's signal and known analyte concentrations. This curve equation predicts the ...
校准曲线:相关系数
校准曲线:相关系数
A correlation coefficient is a statistical test to evaluate the degree and the direction of linear correlation between two variables. The Pearson ...
相关性和回归
相关性和回归
Regression and correlation are statistical techniques that examine the relationship between two variables.  While regression is used to understand ...
与背景的区别:检测限
与背景的区别:检测限
Background noise is intrinsic to any measurement interfering with the detection of the analyte signal. To analyze if the measured signal is from the ...
量化和拒绝异常值:Grubbs 检验
量化和拒绝异常值:Grubbs 检验
Grubbs' test, like Dixon's Q-test, is a statistical test to identify the outliers in data with a normal distribution. Here, the number of ...
什么是方差分析?
什么是方差分析?
The analysis of variance—abbreviated as ANOVA —is used when the means of three or more samples need to be tested for equality. For example, ...
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