CHM 2354 Lecture Notes - Lecture 3: Gaussian Function, Standard Deviation, Confidence Interval
25 May 2015
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Document Summary
Objectives: the gaussian distribution, student"s t test, comparison of two data sets, comparison of two methods, f-test, outliers and g-test. Results always have some uncertainty: uncertainty are used to determine if two or more experimental results are equivalent or different. Statistics are used to accomplish this task. There are many kinds of distribution we are interested in the normal kind. The gaussian curve: for a series of experimental results with only random error i) ii) A large number of experiments done under identical conditions will yield a distribution of results. Distribution of results is described by a gaussian or normal error curve: any set of data (and corresponding. Gaussian curve) can be characterized by two parameters i) ii) The smaller the standard deviation, the more precise the measurement is: sd = ((sum of numbers-sum of each number^2)/n-1)^1/2 iii) iv) Wide or precise a distribution of results is. Based on comparing the s2 of both methods compare value in.
