Statistical Data Analysis
A Practical Guide
1st Edition
Published on 14. June 2011
Book
Hardback
773 pages
978-93-80308-11-1 (ISBN)
Description
Over the past decade, computer supported data analysis by statistical methods has been one of the fastest growth areas in chemometrics, biometrics and other related branches of natural, technical and social sciences. This has been particularly strongly supported by the development of exploratory data analysis, testing assumptions about data, model and statistical methods and computer intensive techniques. This book presents a combination of individual topics with solved problems and collection of experimental tasks. Methods suitable for extreme or small and large datasets are described. The interpretation of results is based on the comprehensive information about data behavior and validity of used assumptions.
More details
Series
Language
English
Place of publication
New Delhi
India
Target group
College/higher education
Product notice
sewn/stitched
Cloth over boards
Illustrations
203 s/w Abbildungen
203 Illustrations, black and white
Dimensions
Height: 229 mm
Width: 152 mm
ISBN-13
978-93-80308-11-1 (9789380308111)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Milam Meloun (prof. RNDr. DrSC., PhD.) is a Professor at the Department of Analytic chemistry at the University of Pardubici, Czech Republic. He may be considered as one of the leading proponents of chemometrics in the czech Republic
Content
Preface
Errors in instrumental measurements
Types of Measurement Error
The Precision and Accuracy of Instrumental Measurements
Models of Measurements
Error Propagation
Summary: The Determination of Measurement Errors
References
The exploratory and confirmatory analysis of univariate data
Sampling, Sorting and Ranking
Order Statistics, Quantiles and Letter Values
Plots and Displays in Exploratory Data Analysis
Examining Sample Distribution by EDA
Data Transformation
The Re-expression of Statistics for Transformed Data
The Confirmatory Analysis of Assumptions about Data
Summary of the Procedure for the EDA and CDA of Univariate Data
References
Statistical analysis of univariate data
Point Estimates of Location, Spread and Shape
Interval Estimates of Location and Spread
Point and Interval Estimators for Selected Distributions
Robust Estimates of Location and Spread
Statistical Hypothesis Testing
Summary of Univariate Data Analysis
References
Statistical analysis of multivariate data
Objectives of Multivariate Data Matrix
Descriptive statistics
Exploratory Analysis of Multivariate Data Structure
Principal Components Analysis (PCA)
Factor Analysis (FA)
Canonical Correlation Analysis (CCA)
Discriminant Analysis (DA)
Logistic Regression (LR)
Cluster Analysis (CLU)
Multidimensional Scaling (MDS)
Correspondence Analysis (CA)
References
Analysis of variance
Objectives of Analysis of Variance
One-Way ANOVA
Two-way ANOVA
Summary
References
Linear regression models
Formulation of the Linear Regression Model
Conditions for the Least-Squares Method
Statistical Properties of the Least-squares Method
Numerical Problems in the Computer Calculation of Linear Regression
Regression Diagnostics
Procedures when Conditions for Least-squares are Violated
Calibration
Procedure for Linear Regression Analysis
References
Correlation
Correlation Models
Correlation Coefficients
Procedure for Correlation Analysis
References
Nonlinear Regression Models
Formulation of a Nonlinear Regression Model
Models of Measurement Errors
Formulation of the Regression Criterion
Geometry of Nonlinear Regression
Numerical Procedure for Parameter Estimation
Statistical Analysis of Nonlinear Regression
Procedure for Building and Testing a Nonlinear Model
References
Index
Errors in instrumental measurements
Types of Measurement Error
The Precision and Accuracy of Instrumental Measurements
Models of Measurements
Error Propagation
Summary: The Determination of Measurement Errors
References
The exploratory and confirmatory analysis of univariate data
Sampling, Sorting and Ranking
Order Statistics, Quantiles and Letter Values
Plots and Displays in Exploratory Data Analysis
Examining Sample Distribution by EDA
Data Transformation
The Re-expression of Statistics for Transformed Data
The Confirmatory Analysis of Assumptions about Data
Summary of the Procedure for the EDA and CDA of Univariate Data
References
Statistical analysis of univariate data
Point Estimates of Location, Spread and Shape
Interval Estimates of Location and Spread
Point and Interval Estimators for Selected Distributions
Robust Estimates of Location and Spread
Statistical Hypothesis Testing
Summary of Univariate Data Analysis
References
Statistical analysis of multivariate data
Objectives of Multivariate Data Matrix
Descriptive statistics
Exploratory Analysis of Multivariate Data Structure
Principal Components Analysis (PCA)
Factor Analysis (FA)
Canonical Correlation Analysis (CCA)
Discriminant Analysis (DA)
Logistic Regression (LR)
Cluster Analysis (CLU)
Multidimensional Scaling (MDS)
Correspondence Analysis (CA)
References
Analysis of variance
Objectives of Analysis of Variance
One-Way ANOVA
Two-way ANOVA
Summary
References
Linear regression models
Formulation of the Linear Regression Model
Conditions for the Least-Squares Method
Statistical Properties of the Least-squares Method
Numerical Problems in the Computer Calculation of Linear Regression
Regression Diagnostics
Procedures when Conditions for Least-squares are Violated
Calibration
Procedure for Linear Regression Analysis
References
Correlation
Correlation Models
Correlation Coefficients
Procedure for Correlation Analysis
References
Nonlinear Regression Models
Formulation of a Nonlinear Regression Model
Models of Measurement Errors
Formulation of the Regression Criterion
Geometry of Nonlinear Regression
Numerical Procedure for Parameter Estimation
Statistical Analysis of Nonlinear Regression
Procedure for Building and Testing a Nonlinear Model
References
Index