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Chapter 1

Chemical Applications of Statistical Analyses

Unità SI: ridefinizione 2019
Unità SI: ridefinizione 2019
Measurement is integral to analytical chemistry. Each record comprises a number – denoting the magnitude  – and the unit – a ...
Gradi di libertà
Gradi di libertà
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 ...
Analisi statistica: panoramica
Analisi statistica: panoramica
An analysis is usually conducted by replicated sampling or repeated measurements on the same sample. This leads to scattered results rather than a single ...
Tipi di errori: rilevamento e minimizzazione
Tipi di errori: rilevamento e minimizzazione
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 ...
Errore sistematico: errori metodologici e di campionamento
Errore sistematico: errori metodologici e di campionamento
Systematic errors, depending on their source, are of four types – sampling, instrumental, method, and personal errors. Sampling errors occur due to ...
Errore casuale
Errore casuale
Indeterminate or random errors arise from several uncontrollable variables in successive measurements. Since these errors can neither be predicted nor ...
Deviazione standard dei risultati calcolati
Deviazione standard dei risultati calcolati
A plot of relative deviation from the mean and its frequency of occurrence appears as a Gaussian curve. This probability distribution curve of a ...
Introduzione agli <em>z</em> Scores
Introduzione agli z Scores
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 ...
Incertezza: Panoramica
Incertezza: Panoramica
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 ...
Propagazione dell'incertezza da errore casuale
Propagazione dell'incertezza da errore casuale
In an experiment, multiple arithmetic operations are often required. Here, the uncertainty associated with the first measurement propagates to the next in ...
Propagazione dell'incertezza da errore sistematico
Propagazione dell'incertezza da errore sistematico
The atomic mass of an element obtained from different sources changes slightly due to the variation in relative isotope concentration from one source to ...
Incertezza: intervalli di confidenza
Incertezza: intervalli di confidenza
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 ...
Test di significatività: panoramica
Test di significatività: panoramica
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 ...
Identificare le differenze statisticamente significative: il test <em>F</em>
Identificare le differenze statisticamente significative: il 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 ...
Confronto dei risultati sperimentali: <em>t-test</em> di Student
Confronto dei risultati sperimentali: t-test di 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 ...
Rilevamento dell'errore grossolano: il test <em>Q</em>
Rilevamento dell'errore grossolano: il 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 ...
Curve di calibrazione: Minimi quadrati lineari
Curve di calibrazione: Minimi quadrati lineari
A calibration curve is a mathematical relationship between the instrument's signal and known analyte concentrations. This curve equation predicts the ...
Curve di calibrazione: coefficiente di correlazione
Curve di calibrazione: coefficiente di correlazione
A correlation coefficient is a statistical test to evaluate the degree and the direction of linear correlation between two variables. The Pearson ...
Correlazione e regressione
Correlazione e regressione
Regression and correlation are statistical techniques that examine the relationship between two variables.  While regression is used to understand ...
Differenza dallo sfondo: limite di rilevamento
Differenza dallo sfondo: limite di rilevamento
Background noise is intrinsic to any measurement interfering with the detection of the analyte signal. To analyze if the measured signal is from the ...
Quantificare e rifiutare i valori anomali: il test di Grubbs
Quantificare e rifiutare i valori anomali: il test di 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 ...
Che cos'è ANOVA?
Che cos'è 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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