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Chapter 1
Measurement is integral to analytical chemistry. Each record comprises a number – denoting the magnitude – and the unit – a ...
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 ...
An analysis is usually conducted by replicated sampling or repeated measurements on the same sample. This leads to scattered results rather than a single ...
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 ...
Systematic errors, depending on their source, are of four types – sampling, instrumental, method, and personal errors. Sampling errors occur due to ...
Indeterminate or random errors arise from several uncontrollable variables in successive measurements. Since these errors can neither be predicted nor ...
A plot of relative deviation from the mean and its frequency of occurrence appears as a Gaussian curve. This probability distribution curve of a ...
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 ...
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 ...
In an experiment, multiple arithmetic operations are often required. Here, the uncertainty associated with the first measurement propagates to the next in ...
The atomic mass of an element obtained from different sources changes slightly due to the variation in relative isotope concentration from one source to ...
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 ...
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 ...
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 ...
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 ...
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 ...
A calibration curve is a mathematical relationship between the instrument's signal and known analyte concentrations. This curve equation predicts the ...
In a linear calibration curve, there is a value called the calibration coefficient, denoted by 'r,' which measures the strength and the direction ...
Regression and correlation are statistical techniques that examine the relationship between two variables. While regression is used to understand ...
Background noise is intrinsic to any measurement interfering with the detection of the analyte signal. To analyze if the measured signal is from the ...
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 ...
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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