Q & a – Accuracy and Precision
Food Analysis – FScN 4312W Laboratory: Assessment of Accuracy and Precision Key to Questions 1. Theoretically, how are standard deviation, coefficient of variation, mean, percent relative error, and 95% confidence interval affected by: (1) more replicates, and (2) a larger size of measurement? Was this evident in looking at the actual results obtained using the volumetric pipettes and the buret, with n = 3 vs n = 6, and with 1mL vs 10mL? Ans: (1) As the sample size increases (more replicates) - Calculated mean approaches the true mean - Standard deviation is inversely proportional to the square root of sample size, hence it decreases - CV decreases, as standard deviation approaches 0 for larger sample size - % Relative error decreases as calculated mean approaches true mean - 95% confidence interval narrows down (2) Larger size of measurement - Mean is close to true mean - Standard deviation might be larger due to larger size - CV decreases - % Relative error decreases, as calculated mean is close to true mean - 95% confidence interval narrows down Not all of the above assumptions were confirmed in this experiment according to the data observed. One reason could be that the sample size was very small (n = 3 and n = 6), to notice significant differences, another reason could be human error and variation from one person’s measuring technique to another. 2. Why are percent relative error and coefficient of variation used to compare the accuracy and precision, respectively, of the volumes from pipetting/dispensing 1 and 10mL with the volumetric pipettes and buret in parts 2 and 3, rather than simply the mean and standard deviation, respectively? Ans: Mean calculated from the readings gives the calculated mean, which may differ from the true mean.
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