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Mathematical statistics

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This book combines longitudinal research and latent variable research, i.e. it explains how longitudinal studies with objectives formulated in terms of latent variables should be carried out, with an emphasis on detailing how the methods are applied. Because longitudinal research with latent variables currently utilizes different approaches with different histories, different types of research questions, and different computer programs to perform the analysis, the book is divided into nine chapters. Starting from (a) some background information about the specific approach (a short history and the main publications), each chapter then (b) describes the type of research questions the approach is able to answer, (c) provides statistical and mathematical explanations of the models used in the data analysis, (d) discusses the input and output of the programs used, and (e) provides one or more examples with typical data sets, allowing the readers to apply the programs themselves.

Social sciences -- Longitudinal studies. --- Social sciences -- Statistical methods. --- Social sciences --- Social Sciences --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- Social Sciences - General --- Research --- Longitudinal method. --- Latent variables. --- Constructs, Hypothetical --- Hypothetical constructs --- Variables, Latent --- Longitudinal research --- Longitudinal studies --- Mathematics. --- Probabilities. --- Statistics. --- Probability Theory and Stochastic Processes. --- Statistical Theory and Methods. --- Latent structure analysis --- Multivariate analysis --- Variables (Mathematics) --- Methodology --- Distribution (Probability theory. --- Mathematical statistics. --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Distribution functions --- Frequency distribution --- Characteristic functions --- Statistical methods --- Statistics . --- Statistical analysis --- Statistical data --- Statistical science --- Econometrics --- Probability --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Social sciences - Research