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| Why is My Evil Lecturer Forcing Me to Learn Statistics? | |
| What Will This Chapter Tell Me? | |
| What the hell am I doing here? I don't belong here | |
| Initial observation: finding something that needs explaining | |
| Generating theories and testing them | |
| Data collection 1: what to measure | |
| Data collection 2: how to measure | |
| Analysing data | |
| What h... MORE | |
| Key Terms That I've Discovered | |
| Smart Alex's Stats Quiz | |
| Further reading | |
| Interesting real research | |
| Everything You Ever Wanted to Know About Statistics (Well, Sort of) | |
| What will this chapter tell me? | |
| Building statistical models | |
| Populations and samples | |
| Simple statistical models | |
| Going beyond the data | |
| Using statistical models to test research questions | |
| What have I discovered about statistics? | |
| Key terms that I've discovered | |
| Smart Alex's Tasks | |
| Further reading | |
| Interesting real research | |
| The R Environment | |
| What will This Chapter tell Me? | |
| Before you start | |
| Getting started | |
| Using R | |
| Getting data into R | |
| Entering data with R Commander | |
| Using Other Software to Enter and Edit Data | |
| Saving Data | |
| Manipulating Data | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's Tasks | |
| Further reading | |
| Exploring Data with Graphs | |
| What will this chapter tell me? | |
| The art of presenting data | |
| Packages used in this chapter | |
| Introducing ggplot2 | |
| Graphing relationships: the scatterplot | |
| Histograms: a good way to spot obvious problems | |
| Boxplots (box-whisker diagrams) | |
| Density plots | |
| Graphing means | |
| Themes and Options | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Interesting real research | |
| Exploring Assumptions | |
| What will this chapter tell me? | |
| What are assumptions? | |
| Assumptions of parametric data | |
| Packages used in this chapter | |
| The assumption of normality | |
| Testing whether a distribution is normal | |
| Testing for homogeneity of variance | |
| Correcting problems in the data | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Correlation | |
| What will this chapter tell me? | |
| Looking at relationships | |
| How do we measure relationships? | |
| Data entry for correlation analysis | |
| Bivariate correlation | |
| Partial correlation | |
| Comparing correlations | |
| Calculating the effect size | |
| How to report correlation coefficents | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Regression | |
| What will this chapter tell me? | |
| An Introduction to regression | |
| Packages Used in this Chapter | |
| General procedure for regression in R | |
| Interpreting a simple regression | |
| Multiple regression: the basics | |
| How accurate is my regression model? | |
| How to do multiple regression using R Commander and R | |
| Testing the accuracy of your regression model | |
| Robust regression: bootstrapping | |
| How to Report Multiple Regression | |
| Categorical predictors and multiple regression | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Interesting real research | |
| Logistic Regression | |
| What will this chapter tell me? | |
| Background to logistic regression | |
| What are the principles behind logistic regression? | |
| Assumptions and things that can go wrong | |
| Packages Used in this Chapter | |
| Binary logistic regression: an example that will make you feel eel | |
| How to report logistic regression | |
| Testing assumptions: another example | |
| Predicting several categories: multinomial logistic regression | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Interesting real research | |
| Comparing Two Means | |
| What will this chapter tell me? | |
| Packages Used in this Chapter | |
| Looking at differences | |
| The t-test | |
| The independent t-test | |
| The dependent t-test | |
| Between groups or repeated measures? | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Interesting real research | |
| Comparing Several Means: ANOVA (GLM 1) | |
| What will this chapter tell me? | |
| The theory behind ANOVA | |
| Assumptions of ANOVA | |
| Planned contrasts | |
| Post hoc procedures | |
| One-way ANOVA using R | |
| Calculating the effect size | |
| Reporting results from one-way independent ANOVA | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Interesting real research | |
| Analysis of Covariance, ANCOVA (GLM 2) | |
| What will this chapter tell me? | |
| What is ANCOVA? | |
| Assumptions and issues in ANCOVA | |
| ANCOVA using R | |
| Robust ANCOVA | |
| Calculating the effect size | |
| Reporting results | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Interesting real research | |
| Factorial ANOVA (GLM 3) | |
| What will this chapter tell me? | |
| Theory of factorial ANOVA (between-groups) | |
| Factorial ANOVA as regression | |
| Two-Way ANOVA: Behind the scenes | |
| Factorial ANOVA using R | |
| Interpreting interaction graphs | |
| Robust factorial ANOVA | |
| Calculating effect sizes | |
| Reporting the results of two-way ANOVA | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Interesting real research | |
| Repeated-Measures Designs (GLM 4) | |
| What will this chapter tell me? | |
| Introduction to repeated-measures designs | |
| Theory of one-way repeated-measures ANOVA | |
| One-way repeated measures designs using R | |
| Effect sizes for repeated measures designs | |
| Reporting one-way repeated measures designs | |
| Factorisal repeated measures designs | |
| Effect Sizes for Factorial Repeated Measures designs | |
| Reporting the results from factorial repeated measures designs | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Interesting real research | |
| Mixed Designs (GLM 5) | |
| What will this chapter tell me? | |
| Mixed designs | |
| What do men and women look for in a partner? | |
| Entering and exploring your data | |
| Mixed ANOVA | |
| Mixed designs as a GLM | |
| Calculating effect sizes | |
| Reporting the results of mixed ANOVA | |
| Robust analysis for mixed designs | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Interesting real research | |
| Non-Parametric Tests | |
| What will this chapter tell me? | |
| When to use non-parametric tests | |
| Packages Used in this Chapter | |
| Comparing two independent conditions: the Wilcoxon rank-sum test | |
| Comparing two related conditions: the Wilcoxon signed-rank test | |
| Differences between several independent groups: the Kruskal-Wallis test | |
| Differences between several related groups: Friedman's ANOVA | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Interesting real research | |
| Multivariate Analysis of Variance (MANOVA) | |
| What will this chapter tell me? | |
| When to use MANOVA | |
| Introduction: similarities and differences to ANOVA | |
| Theory of MANOVA | |
| Practical issues when conducting MANOVA | |
| MANOVA using R | |
| Robust MANOVA | |
| Reporting results from MANOVA | |
| Following up MANOVA with discriminant analysis | |
| Reporting results from discriminant analysis | |
| Some final remarks | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Interesting real research | |
| Exploratory Factor Analysis | |
| What will this chapter tell me? | |
| When to use factor analysis | |
| Factors | |
| Research example | |
| Running the analysis with R Commander | |
| Running the analysis with R | |
| Factor scores | |
| How to report factor analysis | |
| Reliability analysis | |
| Reporting reliability analysis | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Interesting real research | |
| Categorical Data | |
| What will this chapter tell me? | |
| Packages used in this chapter | |
| Analysing categorical data | |
| Theory of Analysing Categorical Data | |
| Assumptions of the chi-square test | |
| Doing the chi-square test using R | |
| Several categorical variables: loglinear analysis | |
| Assumptions in loglinear analysis | |
| Loglinear analysis using R | |
| Following up loglinear analysis | |
| Effect sizes in loglinear analysis | |
| Reporting the results of loglinear analysis | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Interesting real research | |
| Multilevel Linear Models | |
| What will this chapter tell me? | |
| Hierarchical data | |
| Theory of multilevel linear models | |
| The multilevel model | |
| Some practical issues | |
| Multilevel modelling on R | |
| Growth models | |
| How to report a multilevel model | |
| What have I discovered about statistics? | |
| R Packages Used in This Chapter | |
| R Functions Used in This Chapter | |
| Key terms that I've discovered | |
| Smart Alex's tasks | |
| Further reading | |
| Interesting real research | |
| Epilogue: Life After Discovering Statistics | |
| Troubleshooting R | |
| Glossary | |
| Appendix | |
| Table of the standard normal distribution | |
| Critical Values of the t-Distribution | |
| Critical Values of the F-Distribution | |
| Critical Values of the chi-square Distribution | |
| References | |
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