Preface |
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Acknowledgements |
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Before we start: General instructions for the exercises |
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1 Scientific paradigms and scientific explanations, pseudoscience |
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1 | (23) |
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1.1 Science, scientific paradigms and statistics |
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1 | (8) |
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1.2 The nature of the causal network of the universe - stochasticism vs. determinism |
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9 | (3) |
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1.3 Scientific explanations |
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12 | (3) |
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1.4 Self-fulfilling prophecies and the corruption of statistical indicators |
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15 | (3) |
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1.5 Science and pseudoscience |
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18 | (6) |
2 Basic concepts of statistics |
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24 | (28) |
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24 | (1) |
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25 | (1) |
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26 | (1) |
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2.4 Variables and constants |
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26 | (1) |
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2.5 Organization of data, matrix, vector |
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27 | (4) |
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2.6 Population and sample, parameters and statistics |
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31 | (3) |
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34 | (2) |
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36 | (6) |
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2.9 Issues about samples to be aware of |
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42 | (1) |
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2.10 Levels of measurement |
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43 | (4) |
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2.11 Continuous and discrete variables |
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47 | (1) |
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2.12 Let us apply what we learned so far! |
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48 | (4) |
3 Descriptive statistics |
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52 | (19) |
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52 | (1) |
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3.2 Percentiles and other quantiles |
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53 | (2) |
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3.3 Measures of central tendency |
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55 | (3) |
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3.4 Measures of variability |
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58 | (2) |
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3.5 How can a distribution be represented? |
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60 | (1) |
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3.6 Let us apply what we learned so far! |
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60 | (11) |
4 Distributions |
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71 | (28) |
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4.1 Theoretical and empirical distributions |
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71 | (1) |
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71 | (3) |
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74 | (1) |
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4.4 Binomial distribution |
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75 | (1) |
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76 | (1) |
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4.6 Deviations from the normal distribution |
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77 | (12) |
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4.7 Standard scores and standardization |
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89 | (1) |
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90 | (3) |
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4.9 Let us apply what we learned so far! |
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93 | (6) |
5 Inferential statistics, basic concepts |
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99 | (31) |
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5.1 The central limit theorem |
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99 | (4) |
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5.2 Bootstrapping approach to inferring parameter values |
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103 | (1) |
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5.3 Assessing population parameters, point and interval assessment |
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104 | (3) |
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107 | (14) |
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5.5 Bayes' factor and testing statistical hypotheses |
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121 | (1) |
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5.6 Parametric and nonparametric statistics |
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122 | (1) |
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5.7 Let us apply what we learned so far! |
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123 | (7) |
6 Correlations |
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130 | (26) |
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6.1 Associations between variables |
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130 | (1) |
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6.2 Types of associations between variables |
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131 | (5) |
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136 | (1) |
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6.4 Correlation coefficient |
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136 | (5) |
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6.5 Types of correlation coefficients |
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141 | (8) |
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6.6 Let us apply what we learned so far! |
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149 | (7) |
7 Statistical tests for comparing two samples |
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156 | (23) |
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7.1 Paired samples and independent samples |
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156 | (3) |
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7.2 Comparing two means - t test |
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159 | (2) |
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7.3 Comparing central tendencies of ordinal data on independent samples - the Mann-Whitney's U test and the Wilcoxon's sum-rank test |
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161 | (2) |
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7.4 Comparing central tendencies of paired samples - the sign test and the Wilcoxon's signed rank test |
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163 | (3) |
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7.5 Comparing standard deviations/variances - Levene's test |
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166 | (1) |
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7.6 Comparing two distributions - Kolmogorov-Smirnov test, chi square and Wald-Wolfowitz test |
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167 | (6) |
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7.7 Let us apply what we learned so far! |
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173 | (6) |
8 Exercises - let us apply what we learned in this book! |
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179 | (9) |
Index |
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