PART A: General principles and the dichotomous Rasch model.- Chapter 1: The idea of measurement.- Chapter 2: Constructing instruments to achieve measurement.- Chapter 3: Classical test theory (CTT).- Chapter 4: Reliability and validity in CTT.- Chapter 5: The Guttman structure and analysis of responses.- Chapter 6: The dichotomous Rasch model - The simplest modern test theory model.- Chapter 7: Invariance of comparisons - Separation of person and item parameters.- Chapter 8: Sufficiency - The significance of total scores.- Chapter 9: Estimating item difficulty.- Chapter 10: Estimating person proficiency and person separation.- Chapter 11: Equating - Linking instruments through common items.- Chapter 12: Comparisons and contrasts between CTT and Rasch measurement theory (RMT).- PART B: The dichotomous Rasch model: Fit of responses to the model.- Chapter 13: Fit of responses to the model I - Item characteristic curve and Chi-square tests of fit.- Chapter 14: Violations of the assumption of independence I - Multidimensionality and response dependence.- Chapter 15: Fit of responses to the model II - Analysis of residuals and general principles.- Chapter 16: Fit of responses to the model III - Differential item functioning.- Chapter 17: Fit of responses to the model IV - Guessing.- Chapter 18: Other models of modern test theory for dichotomous responses.- Chapter 19: Comparisons and contrasts between item response theory (IRT) and RMT.- PART C: Extending the dichotomous Rasch model: The polytomous Rasch model.- Chapter 20: The polytomous Rasch model I.- Chapter 21: The polytomous Rasch model II.- Chapter 21: The polytomous Rasch model II.- Chapter 21: The polytomous Rasch model II.- Chapter 24: Violations of the assumption of independence II - The polytomous Rasch model.- Part D: Theoretical justifications and further elaborations.- Chapter 25: Derivation of CTT equations and coefficient α.- Chapter 26: Analysis of more than two facets and repeated measures.- Chapter 27: Derivation of the threshold form of the polytomous Rasch model.- Chapter 28: Non-Rasch measurement models for ordered response categories.- Chapter 29: Review of principles of test analysis using Rasch measurement theory.- Part E: RUMM2030 Exercises.- Exercise 1: Interpretation of RUMM2030 printout.- Exercise 2: Basic analysis of dichotomous and polytomous responses.- Exercise 3: Advanced analysis of dichotomous responses.- Exercise 4: Advanced analysis of polytomous responses.- Exercise 5: Analysis of data with differential item functioning.- Exercise 6: Analysis of data with dependence.- Exercise 7: Analysis of more than two facets and repeated measurements.- Exercise 8: Writing up a Rasch model analysis.- Part F: Statistics Reviews.- Statistics Review 1: Sigma notation, mean, and variance.- Statistics Review 2: Normal distribution.- Statistics Review 3: Covariance and the variance of the sum of two variables.- Statistics Review 4: Regression and correlation.- Statistics Review 5: Probability.- Statistics Review 6: Indices.- Statistics Review 7: Logarithms.- Statistics Review 8: Conditional probability.- Statistics Review 9: Independence.- Statistics Review 10: Bernoulli and Binomial variables.- Statistics Review 11: The Chi-square distribution and test.- Statistics Review 12: Analysis of variance (ANOVA).- Statistics Review 13: Distribution theory.- Statistics Review 14: Basic distributions for tests of fit.- Statistics Review 15: Odds and ratios.