آزمون Chemometrics به صورت دیجی فرم

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زمان تکمیل این آزمون 80 دقیقه میباشد

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Discuss about the effects of 'Sample size (n)', 'Confidence level' and 'standard deviation' on the 'Confidence Interval'. (2 نمره)

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Compare type I and Type II Errors in statistical tests (2 نمره)

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Compare Paired t-test and Regression line methods for the comparison of two sets of data (2 نمره)

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Compare Shewhart and CUSUM charts for ranges (2 نمره)

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Compare One-at-a-time and Factorial design optimization methods (2 نمره)

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Compare MLR (multiple linear regression) and PCR (Principle component regression) methods (2 نمره)

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Calculate the absolute standard deviation (s) and coefficient of variation (CV) for the following calculations. (Hint: the numbers within parentheses are s for individual data) (4 نمره)

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A scientist obtained the following results for the concentration of Cu in an alloy using an XRFS method: 12.72, 12.75, 12.76, 12.79, X Calculated the minimum value for X, that will be regarded as an outlier by using the Dixon (Q)-test, for a confidence level of 99%. (Qcrit = 0.82) (3 نمره)

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The following data represent three measurements, x, y and z, made on two classes of compounds: (6 p) a. Calculate the centroids of each class (this is done simply by averaging the values of x, y and z for each class). b. An object of unknown origins has measurements (0.5, 0.3, 0.3). What is the distance from the centroids of each class and so to which class is it more likely to belong? c. The K nearest neighbor method can also be used for classification. Which are the three closest objects to the unknown object, and does this confirm the conclusions in question b? (6 نمره)

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