Probability and statistics with R. (2008)

• Record Type: Book
• Further Information: Note: María Dolores Ugarte, Ana F. Militino, Alan T. Arnholt.
• Other Names: Ugarte, María Dolores; Militino, Ana F; Arnholt, Alan T
• Contents: A Brief Introduction to S ; The Basics of S; Using S; Data Sets; Data Manipulation; Probability Functions; Creating Functions; Programming Statements; Graphs; Exploring Data ; What Is Statistics?; Data; Displaying Qualitative Data; Displaying Quantitative Data; Summary Measures of Location; Summary Measures of Spread; Bivariate Data; Multivariate Data (Lattice and Trellis Graphs); General Probability and Random Variables ; Introduction; Counting Rules; Probability; Random Variables; Univariate Probability Distributions ; Introduction; Discrete Univariate Distributions; Continuous Univariate Distributions; Multivariate Probability Distributions ; Joint Distribution of Two Random Variables; Independent Random Variables; Several Random Variables; Conditional Distributions; Expected Values, Covariance, and Correlation; Multinomial Distribution; Bivariate Normal Distribution; Sampling and Sampling Distributions ; Sampling; Parameters; Estimators; Sampling Distribution of the Sample Mean; Sampling Distribution for a Statistic from an Infinite Population; Sampling Distributions Associated with the Normal Distribution; Point Estimation ; Introduction; Properties of Point Estimators; Point Estimation Techniques; Confidence Intervals ; Introduction; Confidence Intervals for Population Means; Confidence Intervals for Population Variances; Confidence Intervals Based on Large Samples; Hypothesis Testing ; Introduction; Type I and Type II Errors; Power Function; Uniformly Most Powerful Test; ℘-Value or Critical Level; Tests of Significance; Hypothesis Tests for Population Means; Hypothesis Tests for Population Variances; Hypothesis Tests for Population Proportions; Nonparametric Methods ; Introduction; Sign Test; Wilcoxon Signed-Rank Test; The Wilcoxon Rank-Sum or the Mann–Whitney U-Test; The Kruskal–Wallis Test; Friedman Test for Randomized Block Designs; Goodness-of-Fit Tests; Categorical Data Analysis; Nonparametric Bootstrapping; Permutation Tests; Experimental Design ; Introduction; Fixed-Effects Model; Analysis of Variance (ANOVA) for the One-Way Fixed-Effects Model; Power and the Noncentral F Distribution; Checking Assumptions; Fixing Problems; Multiple Comparisons of Means; Other Comparisons among the Means; Summary of Comparisons of Means; Random-Effects Model (Variance Components Model); Randomized Complete Block Design; Two-Factor Factorial Design; Regression ; Introduction; Simple Linear Regression; Multiple Linear Regression; Ordinary Least Squares; Properties of the Fitted Regression Line; Using Matrix Notation with Ordinary Least Squares; The Method of Maximum Likelihood; The Sampling Distribution of β ; ANOVA Approach to Regression; General Linear Hypothesis; Model Selection and Validation; Interpreting a Logarithmically Transformed Model; Qualitative Predictors; Estimation of the Mean Response for New Values Xh ; Prediction and Sampling Distribution of New Observations Yh (new); Simultaneous Confidence Intervals; Appendix A: S Commands ; Appendix B: Quadratic Forms and Random Vectors and Matrices ; Quadratic Forms; Random Vectors and Matrices; Variance of Random Vectors; References ; Index ; Problems appear at the end of each chapter.
• Publisher Details: Place of publication not identified : Chapman and Hall/CRC
• Publication Date: 2008
• Extent: 1 online resource (726 pages), (141 illustrations)
• Subjects: 519.20285; Probabilities -- Data processing; Statistics -- Data processing; R (Computer program language)
• Languages: English
• ISBNs: 9781584888925
• Related ISBNs: 158488892X
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.