Cambridge series in statistical and probabilistic mathematics
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and indexes.
یادداشتهای مربوط به مندرجات
متن يادداشت
ch. 1 Introduction -- 1.1 Categorical Data: Examples and Basic Concepts -- 1.1.1 Some Examples -- 1.1.2 Classification of Variables -- Scale Levels: Nominal and Ordinal Variables -- Discrete and Continuous Variables -- 1.2 Organization of This Book -- 1.3 Basic Components of Structured Regression -- 1.3.1 Structured Univariate Regression -- Structuring the Dependent Variable -- Structuring the Influential Term -- Linear Predictor -- Categorical Explanatory Variables -- Additive Predictor -- Tree-Based Methods -- The Link between Covariates and Response1.3.2 Structured Multicategorical Regression -- 1.3.3 Multivariate Regression -- Structuring the Dependent Variables -- Structuring the Influential Term -- 1.3.4 Statistical Modeling -- 1.4 Classical Linear Regression -- 1.4.1 Interpretation and Coding of Covariates -- Quantitative Explanatory Variables -- Binary Explanatory Variables -- Multicategorical Explanatory Variables or Factors -- 1.4.2 Linear Regression in Matrix Notation -- 1.4.3 Estimation -- Least-Squares Estimation -- Maximum Likelihood Estimation -- Properties of Estimates -- 1.4.4 Residuals and Hat Matrix -- Case Deletion as Diagnostic Tool1.4.5 Decomposition of Variance and Coefficient of Determination -- 1.4.6 Testing in Multiple Linear Regression -- Submodels and the Testing of Linear Hypotheses -- 1.5 Exercises -- ch. 2 Binary Regression: The Logit Model -- 2.1 Distribution Models for Binary Responses and Basic Concepts -- 2.1.1 Single Binary Variables -- 2.1.2 The Binomial Distribution -- Odds, Logits, and Odds Ratios -- Comparing Two Groups -- 2.2 Linking Response and Explanatory Variables -- 2.2.1 Deficiencies of Linear Models -- 2.2.2 Modeling Binary Responses -- Binary Responses as Dichotomized Latent VariablesModeling the Common Distribution of a Binary and a Continuous Distribution -- Basic Form of Binary Regression Models -- 2.3 The Logit Model -- 2.3.1 Model Representations -- 2.3.2 Logit Model with Continuous Predictor -- Multivariate Predictor -- 2.3.3 Logit Model with Binary Predictor -- Logit Model with (0-1)-Coding of Covariates -- Logit Model with Effect Coding -- 2.3.4 Logit Model with Categorical Predictor -- Logit Model with (0-1)-Coding -- Logit Model with Effect Coding -- Logit Model with Several Categorical Predictors -- 2.3.5 Logit Model with Linear Predictor -- 2.4 The Origins of the Logistic Function and the Logit Model2.5 Exercises -- ch. 3 Generalized Linear Models -- 3.1 Basic Structure -- 3.2 Generalized Linear Models for Continuous Responses -- 3.2.1 Normal Linear Regression -- 3.2.2 Exponential Distribution -- 3.2.3 Gamma-Distributed Responses -- 3.2.4 Inverse Gaussian Distribution -- 3.3 GLMs for Discrete Responses -- 3.3.1 Models for Binary Data -- 3.3.2 Models for Binomial Data -- 3.3.3 Poisson Model for Count Data -- 3.3.4 Negative Binomial Distribution -- 3.4 Further Concepts -- 3.4.1 Means and Variances -- 3.4.2 Canonical Link -- 3.4.3 Extensions Including Offsets.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
"Categorical data play an important role in many statistical analyses. They appear whenever the outcomes of one or more categorical variables are observed. A categorical variable can be seen as a variable for which the possible values form a set of categories, which can be finite or, in the case of count data, infinite. These categories can be records of answers (yes/no) in a questionnaire, diagnoses like normal/abnormal resulting from a medical examination or choices of brands in consumer behaviour. Data of this type are common in all sciences that use quantitative research tools, for example social sciences, economics, biology, genetics and medicine, but also engineering and agriculture. In some applications all of the observed variables are categorical and the resulting data can be summarized in contingency tables which contain the counts for combinations of possible outcomes. In other applications categorical data are collected together with continuous variables and one wants to investigate the dependence of one or more categorical variables on continuous and/or categorical variables"--
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
MIL
شماره انبار
338240
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Regression for categorical data.
شماره استاندارد بين المللي کتاب و موسيقي
9781107009653
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Categories (Mathematics)
موضوع مستند نشده
Regression analysis.
موضوع مستند نشده
Categories (Mathematics)
موضوع مستند نشده
Kategoriale Daten
موضوع مستند نشده
MATHEMATICS-- Probability & Statistics-- Regression Analysis.
موضوع مستند نشده
Regression analysis.
موضوع مستند نشده
Regressionsanalyse
مقوله موضوعی
موضوع مستند نشده
MAT-- 029030
موضوع مستند نشده
PBT
رده بندی ديویی
شماره
519
.
5/36
ويراست
22
رده بندی کنگره
شماره رده
QA278
.
2
نشانه اثر
.
T88
2012eb
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )