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Chapter 1

Chemical Applications of Statistical Analyses

وحدات SI: إعادة تعريف 2019
وحدات SI: إعادة تعريف 2019
Measurement is integral to analytical chemistry. Each record comprises a number – denoting the magnitude  – and the unit – a ...
درجات الحرية
درجات الحرية
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 ...
التحليل الإحصائي: نظرة عامة
التحليل الإحصائي: نظرة عامة
An analysis is usually conducted by replicated sampling or repeated measurements on the same sample. This leads to scattered results rather than a single ...
أنواع الأخطاء: الكشف والتصغير
أنواع الأخطاء: الكشف والتصغير
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 ...
الخطأ المنهجي: الأخطاء المنهجية وأخذ العينات
الخطأ المنهجي: الأخطاء المنهجية وأخذ العينات
Systematic errors, depending on their source, are of four types – sampling, instrumental, method, and personal errors. Sampling errors occur due to ...
خطأ عشوائي
خطأ عشوائي
Indeterminate or random errors arise from several uncontrollable variables in successive measurements. Since these errors can neither be predicted nor ...
الانحراف المعياري للنتائج المحسوبة
الانحراف المعياري للنتائج المحسوبة
A plot of relative deviation from the mean and its frequency of occurrence appears as a Gaussian curve. This probability distribution curve of a ...
مقدمة في درجات <em>z</em>
مقدمة في درجات 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 ...
عدم اليقين: نظرة عامة
عدم اليقين: نظرة عامة
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 ...
انتشار عدم اليقين من الخطأ العشوائي
انتشار عدم اليقين من الخطأ العشوائي
In an experiment, multiple arithmetic operations are often required. Here, the uncertainty associated with the first measurement propagates to the next in ...
انتشار عدم اليقين من الخطأ المنهجي
انتشار عدم اليقين من الخطأ المنهجي
The atomic mass of an element obtained from different sources changes slightly due to the variation in relative isotope concentration from one source to ...
عدم اليقين: فترات الثقة
عدم اليقين: فترات الثقة
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 ...
اختبار الأهمية: نظرة عامة
اختبار الأهمية: نظرة عامة
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 ...
تحديد الفروق ذات الدلالة الإحصائية: اختبار <em>F</em>
تحديد الفروق ذات الدلالة الإحصائية: اختبار 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 ...
مقارنة النتائج التجريبية: اختبار <em>t</em> للطالب
مقارنة النتائج التجريبية: اختبار t للطالب
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 ...
الكشف عن الخطأ الجسيم: اختبار <em>Q</em>
الكشف عن الخطأ الجسيم: اختبار 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 ...
منحنيات المعايرة: المربعات الصغرى الخطية
منحنيات المعايرة: المربعات الصغرى الخطية
A calibration curve is a mathematical relationship between the instrument's signal and known analyte concentrations. This curve equation predicts the ...
منحنيات المعايرة: معامل الارتباط
منحنيات المعايرة: معامل الارتباط
A correlation coefficient is a statistical test to evaluate the degree and the direction of linear correlation between two variables. The Pearson ...
الارتباط والانحدار
الارتباط والانحدار
Regression and correlation are statistical techniques that examine the relationship between two variables.  While regression is used to understand ...
الفرق من الخلفية: حد الكشف
الفرق من الخلفية: حد الكشف
Background noise is intrinsic to any measurement interfering with the detection of the analyte signal. To analyze if the measured signal is from the ...
القياس الكمي للقيم المتطرفة ورفضها: اختبار Grubbs
القياس الكمي للقيم المتطرفة ورفضها: اختبار 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 ...
ما هو ANOVA؟
ما هو 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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