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This textbook discusses central statistical concepts and their use in business and economics. To endure the hardship of abstract statistical thinking, business and economics students need to see interesting applications at an early stage. Accordingly, the book predominantly focuses on exercises, several of which draw on simple applications of non-linear theory. The main body presents central ideas in a simple, straightforward manner; the exposition is concise, without sacrificing rigor.
The book bridges the gap between theory and applications, with most exercises formulated in an economic context. Its simplicity of style makes the book suitable for students at any level, and every chapter starts out with simple problems. Several exercises, however, are more challenging, as they are devoted to the discussion of non-trivial economic problems where statistics plays a central part.
The book bridges the gap between theory and applications, with most exercises formulated in an economic context. Its simplicity of style makes the book suitable for students at any level, and every chapter starts out with simple problems. Several exercises, however, are more challenging, as they are devoted to the discussion of non-trivial economic problems where statistics plays a central part.
This textbook discusses central statistical concepts and their use in business and economics. To endure the hardship of abstract statistical thinking, business and economics students need to see interesting applications at an early stage. Accordingly, the book predominantly focuses on exercises, several of which draw on simple applications of non-linear theory. The main body presents central ideas in a simple, straightforward manner; the exposition is concise, without sacrificing rigor.
The book bridges the gap between theory and applications, with most exercises formulated in an economic context. Its simplicity of style makes the book suitable for students at any level, and every chapter starts out with simple problems. Several exercises, however, are more challenging, as they are devoted to the discussion of non-trivial economic problems where statistics plays a central part.
The book bridges the gap between theory and applications, with most exercises formulated in an economic context. Its simplicity of style makes the book suitable for students at any level, and every chapter starts out with simple problems. Several exercises, however, are more challenging, as they are devoted to the discussion of non-trivial economic problems where statistics plays a central part.
Über den Autor
Jan Ubøe
is a Professor of Mathematics at the Norwegian School of Economics. He has published research in several different areas of mathematics and economics: theory on stochastic differential equations, option pricing theory, regional science, transportation science and management science. His contributions have also been recognized with several awards for excellence in teaching.
is a Professor of Mathematics at the Norwegian School of Economics. He has published research in several different areas of mathematics and economics: theory on stochastic differential equations, option pricing theory, regional science, transportation science and management science. His contributions have also been recognized with several awards for excellence in teaching.
Inhaltsverzeichnis
1 Descriptive statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111.1 Population and samples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111.2 The median . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151.3 Quartiles and mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161.4 Relative frequency and histograms . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181.5 The mean . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191.6 Sample variance and sample standard deviation . . . . . . . . . . . . . . . . . 211.7 Sample covariance and coefficient of variation . . . . . . . . . . . . . . . . . . 231.8 Using Excel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 261.9 Summary of Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281.10 Problems for chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 302 Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 372.1 Sample space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 372.2 Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 382.2.1 Events . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 392.2.2 Uniform probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 402.2.3 Set theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 412.2.4 Computing probabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 432.2.5 The negation principle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 452.3 Summary of Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 452.4 Problems for chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 453 Combinatorics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 513.1 Counting combinations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 513.1.1 Ordered selections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 523.1.2 Unordered choices without replacement . . . . . . . . . . . . . . . . . 543.1.3 Combinatorial probabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . 573.2 Summary of Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 593.3 Problems for chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 594 Conditional probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 654.1 Conditional probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 654.1.1 Computing conditional probabilities . . . . . . . . . . . . . . . . . . . . 674.1.2 Splitting the sample space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 694.1.3 Probability trees . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 694.2 Subjective probabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 744.3 Independence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 754.4 Summary of Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 764.5 Problems for chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 775 Random variables, mean and variance . . . . . . . . . . . . . . . . . . . . . . . . . . . . 875.1 Random variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 875.2 Expectation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 915.2.1 Computing expectations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 935.2.2 General expectations and variance . . . . . . . . . . . . . . . . . . . . . . 945.3 Some simple facts about option pricing . . . . . . . . . . . . . . . . . . . . . . . . 965.3.1 Hedging portfolios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 975.4 Summary of Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 995.5 Problems for chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1006 Joint distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1096.1 Simultaneous distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1096.2 Covariance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1146.2.1 An alternative formula for the covariance . . . . . . . . . . . . . . . . 1156.2.2 Sums of random variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1166.3 Summary of Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1176.4 Problems for chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1187 Basic probability distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1257.1 The indicator distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1257.2 The binomial distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1267.3 The hypergeometric distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1297.4 The Poisson distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1337.5 The normal distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1357.5.1 The general normal distribution . . . . . . . . . . . . . . . . . . . . . . . . 1387.5.2 Standardizing random variables . . . . . . . . . . . . . . . . . . . . . . . . 1397.5.3 The central limit theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1407.5.4 Integer correction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1457.5.5 Normal approximation of hypergeometric and Poissondistributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1477.5.6 Summing normal distributions . . . . . . . . . . . . . . . . . . . . . . . . . 1487.5.7 Applications to option pricing . . . . . . . . . . . . . . . . . . . . . . . . . . 1487.6 Summary of chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1507.7 Problems for chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1528 Estimation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1698.1 Estimation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1698.1.1 Estimators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1708.1.2 Reporting estimates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1728.1.3 The measurement model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1728.2 Confidence intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1738.2.1 Constructing confidence intervals . . . . . . . . . . . . . . . . . . . . . . . 1748.2.2 The t-distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1768.3 The lottery model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1798.4 Summary of Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1808.5 Problems for chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1819 Hypothesis testing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1859.1 Basic ideas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1859.2 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1879.3 General principles for hypothesis testing . . . . . . . . . . . . . . . . . . . . . . . 1899.4 Designing statical tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1919.4.1 One-sided and two-sided tests . . . . . . . . . . . . . . . . . . . . . . . . . . 1959.4.2 Confidence intervals and hypothesis testing . . . . . . . . . . . . . . 1969.4.3 P-value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1979.5 Summary of Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2009.6 Problems for chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20110 Commonly used tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21110.1 Testing binomial distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21110.2 t-test for expected value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21310.3 Comparing two groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21510.3.1 t-test for comparison of expectation in two groups . . . . . . . . . 21510.3.2 t-test executed in Excel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21810.3.3 t-test for comparison of expectation in two groups, pairedobservations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21910.3.4 t-test with paired observations executed in Excel . . . . . . . . . . 22210.4 Wilcoxon¿s...
Details
| Erscheinungsjahr: | 2019 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Springer Texts in Business and Economics |
| Inhalt: |
xiv
466 S. 19 s/w Illustr. 102 farbige Illustr. 466 p. 121 illus. 102 illus. in color. |
| ISBN-13: | 9783319890166 |
| ISBN-10: | 3319890166 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Ubøe, Jan |
| Auflage: | Softcover reprint of the original 1st ed. 2017 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Springer Texts in Business and Economics |
| Maße: | 235 x 155 x 26 mm |
| Von/Mit: | Jan Ubøe |
| Erscheinungsdatum: | 06.06.2019 |
| Gewicht: | 0,721 kg |
Über den Autor
Jan Ubøe
is a Professor of Mathematics at the Norwegian School of Economics. He has published research in several different areas of mathematics and economics: theory on stochastic differential equations, option pricing theory, regional science, transportation science and management science. His contributions have also been recognized with several awards for excellence in teaching.
is a Professor of Mathematics at the Norwegian School of Economics. He has published research in several different areas of mathematics and economics: theory on stochastic differential equations, option pricing theory, regional science, transportation science and management science. His contributions have also been recognized with several awards for excellence in teaching.
Inhaltsverzeichnis
1 Descriptive statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111.1 Population and samples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111.2 The median . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151.3 Quartiles and mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161.4 Relative frequency and histograms . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181.5 The mean . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191.6 Sample variance and sample standard deviation . . . . . . . . . . . . . . . . . 211.7 Sample covariance and coefficient of variation . . . . . . . . . . . . . . . . . . 231.8 Using Excel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 261.9 Summary of Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281.10 Problems for chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 302 Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 372.1 Sample space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 372.2 Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 382.2.1 Events . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 392.2.2 Uniform probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 402.2.3 Set theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 412.2.4 Computing probabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 432.2.5 The negation principle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 452.3 Summary of Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 452.4 Problems for chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 453 Combinatorics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 513.1 Counting combinations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 513.1.1 Ordered selections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 523.1.2 Unordered choices without replacement . . . . . . . . . . . . . . . . . 543.1.3 Combinatorial probabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . 573.2 Summary of Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 593.3 Problems for chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 594 Conditional probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 654.1 Conditional probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 654.1.1 Computing conditional probabilities . . . . . . . . . . . . . . . . . . . . 674.1.2 Splitting the sample space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 694.1.3 Probability trees . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 694.2 Subjective probabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 744.3 Independence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 754.4 Summary of Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 764.5 Problems for chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 775 Random variables, mean and variance . . . . . . . . . . . . . . . . . . . . . . . . . . . . 875.1 Random variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 875.2 Expectation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 915.2.1 Computing expectations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 935.2.2 General expectations and variance . . . . . . . . . . . . . . . . . . . . . . 945.3 Some simple facts about option pricing . . . . . . . . . . . . . . . . . . . . . . . . 965.3.1 Hedging portfolios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 975.4 Summary of Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 995.5 Problems for chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1006 Joint distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1096.1 Simultaneous distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1096.2 Covariance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1146.2.1 An alternative formula for the covariance . . . . . . . . . . . . . . . . 1156.2.2 Sums of random variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1166.3 Summary of Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1176.4 Problems for chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1187 Basic probability distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1257.1 The indicator distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1257.2 The binomial distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1267.3 The hypergeometric distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1297.4 The Poisson distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1337.5 The normal distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1357.5.1 The general normal distribution . . . . . . . . . . . . . . . . . . . . . . . . 1387.5.2 Standardizing random variables . . . . . . . . . . . . . . . . . . . . . . . . 1397.5.3 The central limit theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1407.5.4 Integer correction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1457.5.5 Normal approximation of hypergeometric and Poissondistributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1477.5.6 Summing normal distributions . . . . . . . . . . . . . . . . . . . . . . . . . 1487.5.7 Applications to option pricing . . . . . . . . . . . . . . . . . . . . . . . . . . 1487.6 Summary of chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1507.7 Problems for chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1528 Estimation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1698.1 Estimation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1698.1.1 Estimators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1708.1.2 Reporting estimates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1728.1.3 The measurement model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1728.2 Confidence intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1738.2.1 Constructing confidence intervals . . . . . . . . . . . . . . . . . . . . . . . 1748.2.2 The t-distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1768.3 The lottery model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1798.4 Summary of Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1808.5 Problems for chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1819 Hypothesis testing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1859.1 Basic ideas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1859.2 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1879.3 General principles for hypothesis testing . . . . . . . . . . . . . . . . . . . . . . . 1899.4 Designing statical tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1919.4.1 One-sided and two-sided tests . . . . . . . . . . . . . . . . . . . . . . . . . . 1959.4.2 Confidence intervals and hypothesis testing . . . . . . . . . . . . . . 1969.4.3 P-value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1979.5 Summary of Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2009.6 Problems for chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20110 Commonly used tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21110.1 Testing binomial distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21110.2 t-test for expected value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21310.3 Comparing two groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21510.3.1 t-test for comparison of expectation in two groups . . . . . . . . . 21510.3.2 t-test executed in Excel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21810.3.3 t-test for comparison of expectation in two groups, pairedobservations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21910.3.4 t-test with paired observations executed in Excel . . . . . . . . . . 22210.4 Wilcoxon¿s...
Details
| Erscheinungsjahr: | 2019 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Springer Texts in Business and Economics |
| Inhalt: |
xiv
466 S. 19 s/w Illustr. 102 farbige Illustr. 466 p. 121 illus. 102 illus. in color. |
| ISBN-13: | 9783319890166 |
| ISBN-10: | 3319890166 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Ubøe, Jan |
| Auflage: | Softcover reprint of the original 1st ed. 2017 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Springer Texts in Business and Economics |
| Maße: | 235 x 155 x 26 mm |
| Von/Mit: | Jan Ubøe |
| Erscheinungsdatum: | 06.06.2019 |
| Gewicht: | 0,721 kg |
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