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    1. Naturvetenskap och teknik
    2. Matematik och naturvetenskap
    3. Matematik
    4. Matematisk statistik

    Statistics with JMP

    Graphs, Descriptive Statistics and Probability

    AvPeter Goos,David Meintrup

    Inbunden, Engelska, 2015

    882 kr

    Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

    Beskrivning

    Peter Goos, Department of Statistics, University of Leuven, Faculty of Bio-Science Engineering and University of Antwerp, Faculty of Applied Economics, BelgiumDavid Meintrup, Department of Mathematics and Statistics, University of Applied Sciences Ingolstadt, Faculty of Mechanical Engineering, GermanyThorough presentation of introductory statistics and probability theory, with numerous examples and applications using JMPJMP: Graphs, Descriptive Statistics and Probability provides an accessible and thorough overview of the most important descriptive statistics for nominal, ordinal and quantitative data with particular attention to graphical representations. The authors distinguish their approach from many modern textbooks on descriptive statistics and probability theory by offering a combination of theoretical and mathematical depth, and clear and detailed explanations of concepts. Throughout the book, the user-friendly, interactive statistical software package JMP is used for calculations, the computation of probabilities and the creation of figures. The examples are explained in detail, and accompanied by step-by-step instructions and screenshots. The reader will therefore develop an understanding of both the statistical theory and its applications.Traditional graphs such as needle charts, histograms and pie charts are included, as well as the more modern mosaic plots, bubble plots and heat maps. The authors discuss probability theory, particularly discrete probability distributions and continuous probability densities, including the binomial and Poisson distributions, and the exponential, normal and lognormal densities. They use numerous examples throughout to illustrate these distributions and densities.Key features: Introduces each concept with practical examples and demonstrations in JMP.Provides the statistical theory including detailed mathematical derivations.Presents illustrative examples in each chapter accompanied by step-by-step instructions and screenshots to help develop the reader’s understanding of both the statistical theory and its applications.A supporting website with data sets and other teaching materials. This book is equally aimed at students in engineering, economics and natural sciences who take classes in statistics as well as at masters/advanced students in applied statistics and probability theory. For teachers of applied statistics, this book provides a rich resource of course material, examples and applications.

    Produktinformation

    • Utgivningsdatum:2015-04-03
    • Mått:160 x 236 x 25 mm
    • Vikt:590 g
    • Format:Inbunden
    • Språk:Engelska
    • Antal sidor:368
    • Förlag:John Wiley & Sons Inc
    • ISBN:9781119035701

    Utforska kategorier

    • Matematisk statistik inom Naturvetenskap och teknik

    Mer om författaren

    Peter Goos and David?Meintrup, Department of Mathematics, Statistics and Actuarial Sciences of the Faculty of Applied Economics of the University of Antwerp, Belgium.

    Recensioner i media

    “For teachers of applied statistics, this book provides a rich resource of course material, examples and applications.”  (Zentralblatt MATH, 1 June 2015)

    Innehållsförteckning

    • Preface xiiiAcknowledgments xvii1 What is statistics? 11.1 Why statistics? 11.2 Definition of statistics 31.3 Examples 41.4 The subject of statistics 51.5 Probability 61.6 Software 72 Data and its representation 82.1 Types of data and measurement scales 82.1.1 Categorical or qualitative variables 82.1.2 Quantitative variables 92.1.3 Hierarchy of scales 102.1.4 Measurement scales in JMP 102.2 The data matrix 112.3 Representing univariate qualitative variables 122.4 Representing univariate quantitative variables 162.4.1 Stem and leaf diagram 162.4.2 Needle charts for univariate discrete quantitative variables 172.4.3 Histograms and frequency polygons for continuous variables 222.4.4 Empirical cumulative distribution functions 272.5 Representing bivariate data 302.5.1 Qualitative variables 302.5.2 Quantitative variables 342.6 Representing time series 382.7 The use of maps 392.8 More graphical capabilities 473 Descriptive statistics of sample data 543.1 Measures of central tendency or location 553.1.1 Median 563.1.2 Mode 573.1.3 Arithmetic mean 583.1.4 Geometric mean 613.2 Measures of relative location 633.2.1 Order statistics, quantiles, percentiles, deciles 633.2.2 Quartiles 643.3 Measures of variation or spread 643.3.1 Range 643.3.2 Interquartile range 653.3.3 Mean absolute deviation 653.3.4 Variance 653.3.5 Standard deviation 683.3.6 Coefficient of variation 693.3.7 Dispersion indices for nominal and ordinal variables 703.4 Measures of skewness 763.5 Kurtosis 783.6 Transformation and standardization of data 783.7 Box plots 793.8 Variability charts 843.9 Bivariate data 883.9.1 Covariance 893.9.2 Correlation 923.9.3 Rank correlation 943.10 Complementarity of statistics and graphics 983.11 Descriptive statistics using JMP 1004 Probability 1064.1 Random experiments 1084.2 Definition of probability 1104.3 Calculation rules 1134.4 Conditional probability 1144.5 Independent and dependent events 1194.6 Total probability and Bayes’ rule 1224.7 Simulating random experiments 1275 Additional aspects of probability theory 1295.1 Combinatorics 1295.1.1 Addition rule 1295.1.2 Multiplication principle 1305.1.3 Permutations 1305.1.4 Combinations 1315.2 Number of possible orders 1325.2.1 Two different objects 1335.2.2 More than two different objects 1335.3 Applications of probability theory 1345.3.1 Sequences of independent random experiments 1345.3.2 Euromillions 1356 Univariate random variables 1386.1 Random variables and distribution functions 1386.2 Discrete random variables and probability distributions 1406.3 Continuous random variables and probability densities 1436.4 Functions of random variables 1516.4.1 Functions of one discrete random variable 1516.4.2 Functions of one continuous random variable 1526.5 Families of probability distributions and probability densities 1546.6 Simulation of random variables 1557 Statistics of populations and processes 1597.1 Expected value of a random variable 1597.2 Expected value of a function of a random variable 1617.3 Special cases 1627.4 Variance and standard deviation of a random variable 1637.5 Other statistics 1667.6 Moment generating functions 1698 Important discrete probability distributions 1738.1 The uniform distribution 1738.2 The Bernoulli distribution 1758.3 The binomial distribution 1768.3.1 Probability distribution 1768.3.2 Expected value and variance 1838.4 The hypergeometric distribution 1848.5 The Poisson distribution 1888.6 The geometric distribution 1948.7 The negative binomial distribution 1978.8 Probability distributions in JMP 2008.8.1 Tables with probability distributions and cumulative distribution functions 2008.8.2 Graphical representations 2048.9 The simulation of discrete random variables with JMP 2099 Important continuous probability densities 2129.1 The continuous uniform density 2139.2 The exponential density 2159.2.1 Definition and statistics 2159.2.2 Some interesting properties 2169.3 The gamma density 2209.4 The Weibull density 2219.5 The beta density 2239.6 Other densities 2249.7 Graphical representations and probability calculations in JMP 2269.8 Simulating continuous random variables in JMP 23010 The normal distribution 23210.1 The normal density 23310.2 Calculation of probabilities for normally distributed variables 23710.2.1 The standard normal distribution 23710.2.2 General normally distributed variables 23810.2.3 JMP 24010.2.4 Examples 24110.3 Lognormal probability density 24711 Multivariate random variables 25211.1 Introductory notions 25211.2 Joint (discrete) probability distributions 25411.3 Marginal or unconditional (discrete) probability distribution 25611.4 Conditional (discrete) probability distribution 25711.5 Examples of discrete bivariate random variables 25811.6 The multinomial probability distribution 26611.7 Joint (continuous) probability density 26811.8 Marginal or unconditional (continuous) probability density 27611.9 Conditional (continuous) probability density 27912 Functions of several random variables 28212.1 Functions of several random variables 28212.2 Expected value of functions of several random variables 28312.3 Conditional expected values 28812.4 Probability distributions of functions of random variables 28912.4.1 Discrete random variables 28912.4.2 Continuous random variables 29012.5 Functions of independent Poisson, normally, and lognormally distributed random variables 29513 Covariance, correlation, and variance of linear functions 30013.1 Covariance and correlation 30013.2 Variance of linear functions of two random variables 30513.3 Variance of linear functions of several random variables 30613.4 Variance of linear functions of independent random variables 30713.4.1 Two independent random variables 30713.4.2 Several pairwise independent random variables 30813.5 Linear functions of normally distributed random variables 30813.6 Bivariate and multivariate normal density 31013.6.1 Bivariate normal probability density 31013.6.2 Graphical representations 31013.6.3 Independence, marginal, and conditional densities 31413.6.4 General multivariate normal density 31814 The central limit theorem 31914.1 Probability density of the sample mean from a normally distributed population 31914.2 Probability distribution and density of the sample mean from a non-normally distributed population 32014.2.1 Central limit theorem 32014.2.2 Illustration of the central limit theorem 32214.3 Applications 32614.4 Normal approximation of the binomial distribution 328Appendix A The Greek alphabet 330Appendix B Binomial distribution 331Appendix C Poisson distribution 336Appendix D Exponential distribution 339Appendix E Standard normal distribution 341Index 343