Part 3: Measurement Errors &Uncertainity Analysis
Part 3: Measurement Errors & Uncertainity Analysis
Lecture 5Probability and Statistics
Lecture 5 Probability and Statistics
LearningObjectives()quantify the statistical characteristics of a data set as itrelates to the population of the measured variable.explain and use probability density functions to describethe behaviour of variables,create meaningful histograms of measured data,quantify a confidence interval about the measured meanvalue at a given probability
Learning Objectives (1) • quantify the statistical characteristics of a data set as it relates to the population of the measured variable, • explain and use probability density functions to describe the behaviour of variables, • create meaningful histograms of measured data, • quantify a confidence interval about the measured mean value at a given probability
LearningObjectives(2)perform regression analysis on a data set and quantifythe confidence intervals for theparameters of the resulting curve fit or response surface.identify outliers in a data set,specify the number of measurements required to achievea desired confidence interval, andexecute a Monte Carlo simulation that predicts thebehaviour expected in a result due tovariations in the variables involved in computing thatresult
Learning Objectives (2) • perform regression analysis on a data set and quantify the confidence intervals for the • parameters of the resulting curve fit or response surface, • identify outliers in a data set, • specify the number of measurements required to achieve a desired confidence interval, and • execute a Monte Carlo simulation that predicts the behaviour expected in a result due to • variations in the variables involved in computing that result
STATISTICALMEASUREMENTTHEORY Sampling refers to obtaining a set of data throughrepeated measurements of a variable under fixedoperating conditions. This variable is known asthe measured variable or, in statistical terms, themeasurand
STATISTICAL MEASUREMENT THEORY • Sampling refers to obtaining a set of data through repeated measurements of a variable under fixed operating conditions. This variable is known as the measured variable or, in statistical terms, the measurand