Statistics for the behavioural sciences : an introduction to frequentist and Bayesian approaches /: an introduction to frequentist and Bayesian approaches. (2020)

• Record Type: Book
• Further Information: Note: Riccardo Russo.
• Authors: Russo, Riccardo
• Contents: Preface edition 1 Acknowledgements edition I Preface edition II Acknowledgements edition II 0. Mathematics and Algebra: A Rapid-Mini Review 0.1. Operators and symbols 0.2. Orders of operations 0.3. Dealing with fractions 0.4. Variables, constants and equations 0.5. Graphs and equations 0.6. How to solve an equation with one unknown 1. Introduction and basic concepts 1.1. Why is statistics useful in the behavioural sciences? 1.2. Simple example of statistical teseting 1.3. Descriptive and inferential statistics 1.4. Descriptive and inferential statistics 1.5 What is an experiment? 1.6 Correlational studies 1.7 Irrelevant variables 2. Descriptive statistics 2.1. Organising raw data 2.2. Frequency distributions and histograms 2.3. Grouped data 2.4. Stem-and-leaf diagrams 2.5. Summarising data 2.6. Measures of central tendency: Mode, median, and mean 2.7. Advantages and disadvantages of mode, median, and mean 2.8. A useful digression on the Σ notation 2.9. Measures of dispersion (or variability) 2.10. Further on the mean, variance, and standard deviation of frequency distributions 2.11. How to calculate the combined mean and the combined variance of several samples (Web only content) 2.12. Properties of estimators 2.13. Mean and variance of linearly transformed data 2.14 Using JASP for data analysis: Descriptive statistics 3. Introduction to probability 3.1. Why are some notions of probability useful? 3.2. Some preliminary definitions and the concept of probability 3.3. Venn diagrams and probability 3.4. The addition rule and the multiplication rule of probability 3.5. Probability trees 3.6. Conditional probability 3.7. Independence and conditional probability 3.8. Bayes’s Theorem 4. Introduction to inferential statistics 4.1. Inferential statistics and probability 4.2. The Classical/Frequentist approach to inferential statistics 4.3. How the inferential statistic process operates in frequentist statistics 4.4. Reducing the risk of false positives 4.5. The risk of making false negative errors 4.6. Estimating the magnitude of the size of the parameter associated to the theory 4.7. Confidence intervals and inferential statistics. 4.8. The Bayesian approach to inferential statistics 4.9. Odds, probabilities and how to update probabilities 4.10. Chickenpox or Smallpox? This is the dilemma. Bayesian inference in practice. 4.11. The Bayes Factor: The Bayesian equivalent of significance testing 4.12. The Bayes Factor in practice 4.13. Computing the BF and interpreting its function in statistical inference 4.14. Estimating the magnitude of the size of the parameter associated to the theory: Credible intervals 4.15. Frequentist and Bayesian approaches to statistical inference: A rough comparison 5. Probability distributions and the binomial distribution 5.1. Introduction 5.2. Probability distributions 5.3. Calculating the mean (μ ) of a probability distribution 5.4. Calculating the variance (σ 2 ) and the standard deviation (σ ) of a probability distribution 5.5. Orderings (or permutations) 5.6. Combinations 5.7. The binomial distribution 5.8. Mean and variance of the binomial distribution 5.9. How to use the binomial distribution in testing hypotheses: The Frequentist approach 5.10. The sign test 5.11. Further on the binomial distribution and its use in hypothesis testing (Web only content) 5.12. Using JASP to conduct the binomial test (Frequentist approach) 5.13. The Bayesian binomial test 5.14. Using JASP to conduct the binomial test (Bayesian approach) 5.15. The selection of the prior 6. Continuous random variables and the normal distribution 6.1. Introduction 6.2. Continuous random variables and their distribution 6.3. The normal distribution 6.4. The standard normal distribution 6.5. Hypothesis testing and the normal distribution: The Frequentist approach 6.6. Type I and Type II errors 6.7. One-tailed and two-tailed statistical tests 6.8. Hypothesis testing and the normal distribution: The Bayesian approach 6.9. Using the normal distribution as an approximation of the binomial distribution (Web only content) 7. Sampling distribution of the mean, its use in hypothesis testing and the one-sample t -test (Frequentist approach) 7.1. Introduction 7.2. The sampling distribution of the mean and the Central Limit Theorem 7.3. Testing hypotheses about means when σ is known 7.4. Testing hypotheses about means when σ is unknown: The Student’s t -distribution and the one-sample t -test 7.5. Two-sided confidence intervals for a population mean: Estimating the size of the population mean. 7.6. A fundamental conceptual equation in frequentist data analysis: Magnitude of a significance test = Size of the effect × Size of the study 7.7. Statistical power analysis: A brief introduction and its application to the one-sample t -test 7.8. Power calculations for the one-sample t -test 7.9. Using JASP to conduct the one sample t-test (Frequentist approach) 8. Comparing a pair of means: the matched- and the independent-samples t -test (Frequentist approach) 8.1. Introduction 8.2. The matched-samples t -test 8.3. Confidence intervals for a population mean 8.4. Counterbalancing 8.5. The sampling distribution of the difference between pairs of means and the independent-samples t -test 8.6 The independent-samples t -test 8.7. An application of
• Edition: Second edition
• Publisher Details: London : Routledge
• Publication Date: 2020
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 150.15195; Psychometrics; Psychology -- Statistical methods
• Languages: English
• ISBNs: 9781351778985; 9781351778992; 9781351778978; 9781315200415
• Related ISBNs: 9781138711501
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
• 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.