Statistical Techniques for the Study of Language and Language Behaviour

Name: Statistical Techniques for the Study of Language and Language Behaviour
Brand: De Gruyter Mouton
Price: 119.95 EUR
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Toni Rietveld Roeland van Hout(Autor*in)

De Gruyter Mouton (Verlag)

1. Auflage

Erschienen am 4. August 2011

XI, 400 Seiten

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978-3-11-087160-9 (ISBN)

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Inhalt

Intro
Acknowledgements
Permission of reproduction
1 Statistics and the study of language behaviour
1.1 The structure of the book
1.2 Basic statistical concepts
1.3 A few preliminary remarks
1.4 Other techniques
1.5 Language statistics
2 Analysis of variance
2.1 Introduction
2.2 A simple example
2.3 One-way analysis of variance
2.4 Testing effects: the F distribution
2.5 Multi-factorial designs and interaction
2.6 Random and fixed factors
2.7 Testing effects in a two-factor design
2.8 The interpretation of interactions
2.9 Summary of the procedure
2.10 Other design types
2.11 A hierarchical three-factor design
2.12 Simple main effects
2.13 Post hoc comparisons and contrasts
2.14 Strength of association
2.15 Strange F ratios: testing hypotheses made difficult
2.16 Pooling and unequal cell frequencies
2.17 Overview of the steps in an analysis of variance
3 Multiple regression
3.1 Introduction
3.2 Simple regression
3.3 Tests of significance
3.4 Two independent variables
3.5 Selecting a model
3.6 Multicollinearity
3.7 Coding nominal independent variables
3.8 Comparing regression lines
3.9 Measurement and specification errors
4 More ANOVA and MR: assumptions and alternatives
4.1 Introduction
4.2 Assumptions in analysis of variance
4.3 Homoscedasticity
4.4 The impact of transformations
4.5 Unbalanced designs: unequal cell frequencies
4.6 Repeated measures and MANOVA
4.7 A nonparametric alternative: randomization tests
4.8 Bootstrapping
4.9 Assumptions in linear multiple regression
4.10 Plots and diagnostics
4.11 Outliers and influential observations
4.12 Linearizing transformations
4.13 Time series analysis
4.14 Alternative regression techniques
5 Reliability and agreement among raters
5.1 Introduction
5.2 Reliability: true scores and the error component
5.3 Interrater reliability
5.4 Interrater agreement
5.5 Intrarater reliability and agreement
6 Introductory matrix algebra
6.1 Introduction
6.2 Matrices and vectors
6.3 Matrix operations
6.4 Three applications
6.5 Some special matrices
6.6 Some key concepts in matrix algebra
6.7 Some matrix operations for statistical data
7 Factor analysis
7.1 Introduction
7.2 Dimensionality reduction
7.3 Axis rotation and linear tranformation
7.4 Criteria for dimensionality reduction
7.5 The role of eigenvalues in principal component analysis
7.6 Loadings
7.7 A PC analysis with SPSS: the two-variable example
7.8 Principal component analysis or factor analysis?
7.9 How many factors/components are to be retained?
7.10 Which factor loadings are significant?
7.11 Data problems
7.12 Rotations revisited: rotating factors
7.13 Oblique factors
7.14 Options
7.15 An example of factor analysis
7.16 Factor scores
7.17 Overview of the steps in a factor analysis
8 Analysis of frequencies
8.1 Introduction
8.2 Log-linear analysis of a 2x2 table
8.3 Multi-dimensional contingency tables
8.4 Logit analysis
8.5 Overview of the steps in a log-linear analysis
9 Logistic regression
9.1 Introduction
9.2 Regression and the logistic function
9.3 Evaluating a model
9.4 Polytomous independent variables
9.5 Stepwise selection
9.6 The model matrix approach and GSK
9.7 Comparing different techniques
Appendices
A: Logarithms
B: Characteristic root test
C: Eigenvalues of random data correlation matrices
D: Command lines statistical programs
E: Key to the exercises
F: Statistical tables
A. Normal Distribution
B. Critical values of F
C. Critical values of x2
Index

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