サインイン

第1章

統計分析の化学的応用

SI単位:2019年の再定義
SI単位:2019年の再定義
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 ...
統計分析:概要
統計分析:概要
An analysis is usually conducted by replicated sampling or repeated measurements on the same sample. This leads to scattered results rather than a single ...
エラーの種類: 検出と最小化
エラーの種類: 検出と最小化
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 ...
系統誤差: 方法論誤差とサンプリング誤差
系統誤差: 方法論誤差とサンプリング誤差
Systematic errors, depending on their source, are of four types – sampling, instrumental, method, and personal errors. Sampling errors occur due to ...
ランダムエラー
ランダムエラー
Indeterminate or random errors arise from several uncontrollable variables in successive measurements. Since these errors can neither be predicted nor ...
計算結果の標準偏差
計算結果の標準偏差
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>スコアの紹介
zスコアの紹介
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 ...
不確実性:概要
不確実性:概要
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 ...
ランダム誤差による不確実性の伝播
ランダム誤差による不確実性の伝播
In an experiment, multiple arithmetic operations are often required. Here, the uncertainty associated with the first measurement propagates to the next in ...
系統誤差による不確実性の伝播
系統誤差による不確実性の伝播
The atomic mass of an element obtained from different sources changes slightly due to the variation in relative isotope concentration from one source to ...
不確実性:信頼区間
不確実性:信頼区間
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 ...
有意性検定:概要
有意性検定:概要
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 ...
統計的に有意な差の特定:<em>F</em>検定
統計的に有意な差の特定:F検定
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 ...
実験結果の比較:スチューデントの<em>t</em>検定
実験結果の比較:スチューデントのt検定
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 ...
グロスエラーの検出:<em>Q</em>検定
グロスエラーの検出:Q検定
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 ...
検量線:線形最小二乗法
検量線:線形最小二乗法
A calibration curve is a mathematical relationship between the instrument's signal and known analyte concentrations. This curve equation predicts the ...
検量線:相関係数
検量線:相関係数
A correlation coefficient is a statistical test to evaluate the degree and the direction of linear correlation between two variables. The Pearson ...
相関と回帰
相関と回帰
Regression and correlation are statistical techniques that examine the relationship between two variables.  While regression is used to understand ...
バックグラウンドとの違い:検出の限界
バックグラウンドとの違い:検出の限界
Background noise is intrinsic to any measurement interfering with the detection of the analyte signal. To analyze if the measured signal is from the ...
外れ値の定量化と棄却: グラブス検定
外れ値の定量化と棄却: グラブス検定
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 ...
ANOVAとは?
ANOVAとは?
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, ...
JoVE Logo

個人情報保護方針

利用規約

一般データ保護規則

研究

教育

JoVEについて

Copyright © 2023 MyJoVE Corporation. All rights reserved