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Index
Title Page Copyright Contents Drowning by Numbers Averages or Variation? Why Study Statistics? What are Statistics? What Does Statistics Mean? Vital Statistics vs. Mathematical Statistics The Philosophy of Statistics Darwin and Statistical Populations Victorian Values Where Did it All Begin? Parish Registers The London Bills of Mortality Halley’s Mortality Tables Malthusian Populations Demography – the Science of Populations The Statistical Society of London Edwin Chadwick and Sanitary Reforms William Farr and Vital Statistics Florence Nightingale: the Passionate Statistician The Statistics of the Crimean War Mortality Statistics in the Crimea Polar Area Graphs Probability Variables Games of Chance De Moivre and Gambling in Soho The Mathematical Theory of Probability Relative Frequency The Bayesian Approach Probability Distributions The Poisson Distribution The Normal Distribution Astronomical Observations The Central Limit Theorem The Gaussian Curve and the Principle of Least Squares What’s Normal? The Naming of the Normal So What is the Normal Distribution? Quetelismus Galton’s Pantograph How to Summarise the Data? Quetelet and the Arithmetical Mean The Mean The Median How to Locate or Calculate the Median Does it Matter Which Statistical Average is Used? Misleading With Statistics Data Management Procedures Standardized Frequency Distributions Samples vs. Populations The Histogram Frequency Distributions The Method of Moments Natural Selection: the Changing Shapes of Darwinian Distributions The Peppered Moth The Pearsonian Family of Curves The Interquartile Range The Standard Deviation Coefficient of Variation Comparing Variation of Variables Practical Applications Pearson’s Scales of Measurement Nominal and Ordinal Variables Ratio and Interval Early Uses of Correlation Causation and Spurious Correlation Path Analysis and Causation Scatter Diagrams Weldon and Negative Correlation Curvilinear Relationships Galton and Biological Regression Regression to the Mean Galton’s Two Regression Lines George Udny Yule and the Method of Least Squares Correlation vs. Regression Galton’s Dilemma Pearson’s Product-Moment Correlation Simple Correlation and Multiple Correlation Statistical Control Discrete 2 × 2 Relationships Biserial Correlations Egon Pearson and Polychoric Correlations Factor Analysis Maurice Kendall’s Tau Coefficient Correlation vs. Association Curve-Fitting for Asymmetrical Distributions Interpreting Results with Degrees of Freedom The Chi-Square Probability Table A Statistical Test for the Guinness Brewery Quantifying Brewery Material Agricultural Variation Small Samples vs. Large Samples Testing Statistical Differences Between Two Means Statistical Results for Guinness Student’s t-test A New Statistical Era: Rothamsted’s Broadbalk Agricultural Data Fisher’s Statistical Analysis of Variance The Analysis of Agricultural Variation The Analysis of Variance and Small Samples Inferential Statistics The Sampling Distribution Conclusion Bibliography About the Author Index
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