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Chapter 1

Chemical Applications of Statistical Analyses

Unités SI : Redéfinition 2019
Unités SI : Redéfinition 2019
Measurement is integral to analytical chemistry. Each record comprises a number – denoting the magnitude  – and the unit – a ...
Degrés de liberté
Degrés de liberté
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 ...
Analyse statistique : Vue d’ensemble
Analyse statistique : Vue d’ensemble
An analysis is usually conducted by replicated sampling or repeated measurements on the same sample. This leads to scattered results rather than a single ...
Types d’erreurs : détection et minimisation
Types d’erreurs : détection et minimisation
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 ...
Erreur systématique : erreurs méthodologiques et d’échantillonnage
Erreur systématique : erreurs méthodologiques et d’échantillonnage
Systematic errors, depending on their source, are of four types – sampling, instrumental, method, and personal errors. Sampling errors occur due to ...
Erreur aléatoire
Erreur aléatoire
Indeterminate or random errors arise from several uncontrollable variables in successive measurements. Since these errors can neither be predicted nor ...
Écart-type des résultats calculés
Écart-type des résultats calculés
A plot of relative deviation from the mean and its frequency of occurrence appears as a Gaussian curve. This probability distribution curve of a ...
Introduction aux <em>scores z</em>
Introduction aux scores z
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 ...
Incertitude : Vue d’ensemble
Incertitude : Vue d’ensemble
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 ...
Propagation de l’incertitude à partir d’une erreur aléatoire
Propagation de l’incertitude à partir d’une erreur aléatoire
In an experiment, multiple arithmetic operations are often required. Here, the uncertainty associated with the first measurement propagates to the next in ...
Propagation de l’incertitude à partir de l’erreur systématique
Propagation de l’incertitude à partir de l’erreur systématique
The atomic mass of an element obtained from different sources changes slightly due to the variation in relative isotope concentration from one source to ...
Incertitude : intervalles de confiance
Incertitude : intervalles de confiance
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 ...
Tests de signification : aperçu
Tests de signification : aperçu
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 ...
Identifier les différences statistiquement significatives : le test <em>F</em>
Identifier les différences statistiquement significatives : le test F
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 ...
Comparaison des résultats expérimentaux : test <em>t</em> de Student
Comparaison des résultats expérimentaux : test t de Student
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 ...
Détection de l’erreur grossière : le test <em>Q</em>
Détection de l’erreur grossière : le test Q
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 ...
Courbes d’étalonnage : moindres carrés linéaires
Courbes d’étalonnage : moindres carrés linéaires
A calibration curve is a mathematical relationship between the instrument's signal and known analyte concentrations. This curve equation predicts the ...
Courbes d’étalonnage : coefficient de corrélation
Courbes d’étalonnage : coefficient de corrélation
A correlation coefficient is a statistical test to evaluate the degree and the direction of linear correlation between two variables. The Pearson ...
Corrélation et régression
Corrélation et régression
Regression and correlation are statistical techniques that examine the relationship between two variables.  While regression is used to understand ...
Différence par rapport au bruit de fond : limite de détection
Différence par rapport au bruit de fond : limite de détection
Background noise is intrinsic to any measurement interfering with the detection of the analyte signal. To analyze if the measured signal is from the ...
Quantifier et rejeter les valeurs aberrantes : le test de Grubbs
Quantifier et rejeter les valeurs aberrantes : le test de Grubbs
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 ...
Qu’est-ce que l’ANOVA ?
Qu’est-ce que l’ANOVA ?
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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