Foreword; References; Preface; References; Contents; Acronyms; List of Symbols; 1 General Equating Theory Background; 1.1 Introduction; 1.1.1 A Conceptual Description of Equating; 1.1.2 A Statistical Model View of Equating; 1.2 Statistical Models; 1.2.1 General Definition, Notation, and Examples; 1.2.2 Types of Statistical Models; 1.2.3 Mathematical Statistics Formulation of the Equating Problem; 1.2.4 Mathematical Form of the Equating Transformation; 1.2.5 Continuization; 1.2.6 Requirements for Comparability of Scores; 1.2.7 Assessing the Uncertainty of Equating Results

1.3 Collecting Data in Equating1.3.1 Data Collection Designs in Equating; 1.3.1.1 Single Group Design; 1.3.1.2 Equivalent Groups Design; 1.3.1.3 Counterbalanced Design; 1.3.1.4 Non Equivalent Groups with Anchor Test Design; 1.3.1.5 Non Equivalent Groups with Covariates Design; 1.4 Some Examples of Equating Transformations; 1.4.1 The Equipercentile Equating Function; 1.4.2 The Linear Equating Function; 1.4.3 The Kernel Equating Function; 1.5 R Packages That Are Used in This Book; 1.6 Summary and Overview of the Book; References; 2 Preparing Score Distributions; 2.1 Data

2.1.1 Data from Ch2:kolenbrennan20142.1.2 Data from Ch2:vondavieretal2004; 2.1.3 The ADM Admissions Test Data; 2.1.4 The SEPA Test Data; 2.2 Preparing the Score Data; 2.2.1 Functions to Create Score Frequency Distributions; 2.2.2 Score Data in the EG Design; 2.2.3 Score Data in the SG Design; 2.2.4 Score Data in the NEAT Design; 2.3 Presmoothing the Score Distributions; 2.3.1 Polynomial Log-Linear Models for Presmoothing; 2.3.2 Polynomial Log-Linear Smoothing in equate; 2.3.3 Examples; 2.3.3.1 Smoothing Univariate Distributions; 2.3.3.2 Smoothing a Bivariate Distribution

2.3.4 Choosing the Best Log-Linear Model2.4 Using Other Arguments, Packages and Functions; 2.5 Summary; References; 3 Traditional Equating Methods; 3.1 Equipercentile, Linear, and Mean Equating Transformations; 3.2 Assumptions in the Different Designs; 3.2.1 Assumptions in EG, SG, and CB Designs; 3.2.2 Assumptions in the NEAT Design; 3.3 Traditional Equating Methods for the EG, SG and CB Designs; 3.4 Traditional Equating Methods for the NEAT Design; 3.4.1 Linear Equating Methods for the NEAT Design; 3.4.1.1 Tucker Equating; 3.4.1.2 Nominal Weights Equating

3.4.1.3 Levine Observed-Score Equating3.4.1.4 Levine True-Score Equating; 3.4.1.5 Chained Linear Equating; 3.4.2 Equipercentile Equating Methods for the NEAT Design; 3.4.2.1 Frequency Estimation; 3.4.2.2 Chained Equipercentile Equating; 3.4.2.3 Braun-Holland Equating; 3.5 Examples with the equate Function; 3.5.1 The equate Function; 3.5.2 Examples Under the EG and SG Designs; 3.5.3 Examples Under the NEAT Design; 3.5.3.1 Linear Methods; 3.5.3.2 Equipercentile Methods; 3.5.3.3 Comparison Between Linear and Equipercentile Methods; 3.5.4 Examples Using the ADM Data Under the NEAT Design