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Regression Models for the Comparison of Measurement Methods

Part of the SpringerBriefs in Statistics Book Series

DOI: 10.1007/978-3-030-57935-7

ISBN: 978-3-030-57934-0

Publisher: Springer International Publishing - Springer Journals

Oct 28, 2020

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Introduction

Bolfarine, Heleno; de Castro, Mário; Galea, Manuel

Pages: 1 –4

[In this chapter, we provide a general discussion on the problem of comparing measurement methods, their main objectives, and statistical methodology currently in use. We discuss suggestions that appear in the literature as well as the proposals originated from our papers on the subject.]
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Two Methods

Bolfarine, Heleno; de Castro, Mário; Galea, Manuel

Pages: 5 –15

[The main goal of this chapter is to study inference for models used for the comparison of two methods. We consider the regression model proposed in Ripley and Thompson (Analyst 112:377–383, 1987) with an iterative scheme for computing maximum likelihood estimates. Corrected score estimation is...
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Two or More Methods

Bolfarine, Heleno; de Castro, Mário; Galea, Manuel

Pages: 17 –25

[The main goal of this chapter is to study inference for models used in the detection of analytical bias in the comparison of two or more measurement methods. We embrace a functional errors-in-variables regression model with an EM-type algorithm for computing maximum likelihood estimates and to...
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Model Checking and Influence Assessment

Bolfarine, Heleno; de Castro, Mário; Galea, Manuel

Pages: 27 –35

[This chapter is organized as follows. We provide a short account of the local influence assessment methodologies (Cook, J R Stat Soc B 48:133–169, 1986; Wu and Luo, J R Stat Soc B 55:929–936, 1993; Cadigan and Farrell, Appl Stat 51:469–483, 2002), followed by the necessary matrices to implement...
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Data Analysis

Bolfarine, Heleno; de Castro, Mário; Galea, Manuel

Pages: 37 –48

[In this chapter, the methodologies developed in Chaps. 2–4 are applied in the analysis of data sets from the literature. Sections 5.2 and 5.3 are dedicated to data sets comprising two and three measurement methods, respectively.]

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