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Chapter 1

Chemical Applications of Statistical Analyses

SI 단위: 2019년 재정의
SI 단위: 2019년 재정의
Measurement is integral to analytical chemistry. Each record comprises a number – denoting the magnitude  – and the unit – a ...
자유도
자유도
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 ...
통계 분석: 개요
통계 분석: 개요
An analysis is usually conducted by replicated sampling or repeated measurements on the same sample. This leads to scattered results rather than a single ...
오류 유형: 감지 및 최소화
오류 유형: 감지 및 최소화
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 Error: Methodological and Sampling Errors
Systematic Error: Methodological and Sampling Errors
Systematic errors, depending on their source, are of four types – sampling, instrumental, method, and personal errors. Sampling errors occur due to ...
무작위 오류
무작위 오류
Indeterminate or random errors arise from several uncontrollable variables in successive measurements. Since these errors can neither be predicted nor ...
계산된 결과의 표준 편차
계산된 결과의 표준 편차
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> 스코어 소개
z 스코어 소개
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 ...
Uncertainty: 개요
Uncertainty: 개요
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 ...
무작위 오차로 인한 불확실성의 전파
무작위 오차로 인한 불확실성의 전파
In an experiment, multiple arithmetic operations are often required. Here, the uncertainty associated with the first measurement propagates to the next in ...
계통 오류로부터 불확실성의 전파
계통 오류로부터 불확실성의 전파
The atomic mass of an element obtained from different sources changes slightly due to the variation in relative isotope concentration from one source to ...
불확실성: 신뢰 구간
불확실성: 신뢰 구간
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 ...
유의성 테스트: 개요
유의성 테스트: 개요
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 ...
통계적으로 유의한 차이 식별: <em>F</em>-검정
통계적으로 유의한 차이 식별: F-검정
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 ...
실험 결과 비교: 학생의 <em>t</em>-검정
실험 결과 비교: 학생의 t-검정
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 ...
총 오류 감지: <em>Q</em> 테스트
총 오류 감지: Q 테스트
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 ...
검량선: 선형 최소 제곱
검량선: 선형 최소 제곱
A calibration curve is a mathematical relationship between the instrument's signal and known analyte concentrations. This curve equation predicts the ...
검량선: 상관 계수
검량선: 상관 계수
A correlation coefficient is a statistical test to evaluate the degree and the direction of linear correlation between two variables. The Pearson ...
상관 관계 및 회귀 분석
상관 관계 및 회귀 분석
Regression and correlation are statistical techniques that examine the relationship between two variables.  While regression is used to understand ...
배경과의 차이점: Detection Limit of Detection
배경과의 차이점: Detection Limit of Detection
Background noise is intrinsic to any measurement interfering with the detection of the analyte signal. To analyze if the measured signal is from the ...
이상치 정량화 및 거부: Grubbs 테스트
이상치 정량화 및 거부: Grubbs 테스트
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 ...
ANOVA란 무엇입니까?
ANOVA란 무엇입니까?
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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