Titlebook: Statistics and Analysis of Scientific Data; Massimiliano Bonamente Textbook 20172nd edition Springer Science+Business Media, LLC, part of

吹气

Soliloquy

Functions of Random Variables and Error Propagation,an analytic function. It is therefore necessary to establish how we can infer properties of the interesting variable based on properties of the variables that have been measured directly. This chapter explains how to determine the probability distribution function of a variable that is function of o

DOLT

Maximum Likelihood and Other Methods to Estimate Variables,e available. We discuss methods that establish what . quantities must be calculated to estimate the corresponding . quantities. This establishes a firm theoretical framework that justifies the definition of the sample variance as an unbiased estimator of the parent variance, and the sample mean as a

diabetes

Individual

Hypothesis Testing and Statistics, measurements. For this reason they are referred to as a .. If a different sample of measurements is collected, statistical fluctuations will certainly give rise to a different set of measurements, even if the experiments are performed under the same conditions. The use of different data samples to

独白

Maximum Likelihood Methods for Two-Variable Datasets,asurement of a quantity of interest as function of another control quantity that is varied as the experiment is performed. In this chapter we use the maximum likelihood method to determine whether a certain relationship between the two quantities is consistent with the available measurements and the

不溶解

Multi-Variable Regression, fields such as economics and business. Multi-variable analysis can be performed in a simple and effective way when the relationship that links the variable of interest to the other quantities is linear. In this chapter we study the method of multi-variable regression and show how it is related to t

BIBLE

Goodness of Fit and Parameter Uncertainty,a, even when we use the best possible values for the free parameters. In fact, only when the model is acceptable are best-fit parameters meaningful. The acceptability of a model is typically addressed via the distribution of the .. statistic or, in the case of Poisson data, of the Cash statistic. A

饰带

Systematic Errors and Intrinsic Scatter,f-fit statistic and the rejection of the model used to fit the data. These missing sources of uncertainty may either be associated with the data themselves or with the model used to describe the data. In both cases, we describe methods to account for these errors and ensure that hypothesis testing i

Inoperable