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Tabla de Contenidos:
  • Title Page; Table of Contents; Topics for illustrations, examples and exercises; Preface; List of abbreviations; 1 Statistical measures; 1.1 Introduction; 1.2 Mean, mode and median; 1.3 Variance and standard deviation; 1.4 Quartiles, deciles and percentiles; 1.5 Skewness and kurtosis; 1.6 Frequency distributions; 1.7 Covariance and correlation; 1.8 Joint frequency distribution; 1.9 Linear transformation of the observations; 1.10 Linear combinations of two sets of observations; Exercises; 2 Probability, random variable, expected value and variance; 2.1 Introduction.
  • 2.2 Events and probabilities2.3 Mutually exclusive events; 2.4 Independent and dependent events; 2.5 Addition of probabilities; 2.6 Bayes' theorem; 2.7 Random variables and probability distributions; 2.8 Expected value, variance and standard deviation; 2.9 Moments of a distribution; Exercises; 3 Odds ratios, relative risk, sensitivity, specificity and the ROC curve; 3.1 Introduction; 3.2 Odds ratio; 3.3 Relative risk; 3.4 Sensitivity and specificity; 3.5 The receiver operating characteristic (ROC) curve; Exercises; 4 Probability distributions, expectations, variances and correlation.
  • 4.1 Introduction4.2 Probability distribution of a discrete random variable; 4.3 Discrete distributions; 4.4 Continuous distributions; 4.5 Joint distribution of two discrete random variables; 4.6 Bivariate normal distribution; Exercises; Appendix A4; 5 Means, standard errors and confidence limits; 5.1 Introduction; 5.2 Expectation, variance and standard error (S.E.) of the sample mean; 5.3 Estimation of the variance and standard error; 5.4 Confidence limits for the mean; 5.5 Estimator and confidence limits for the difference of two means.
  • 5.6 Approximate confidence limits for the difference of two means5.7 Matched samples and paired comparisons; 5.8 Confidence limits for the variance; 5.9 Confidence limits for the ratio of two variances; 5.10 Least squares and maximum likelihood methods of estimation; Exercises; Appendix A5; 6 Proportions, odds ratios and relative risks: Estimation and confidence limits; 6.1 Introduction; 6.2 A single proportion; 6.3 Confidence limits for the proportion; 6.4 Difference of two proportions or percentages; 6.5 Combining proportions from independent samples; 6.6 More than two classes or categories.
  • 6.7 Odds ratio6.8 Relative risk; Exercises; Appendix A6; 7 Tests of hypotheses: Means and variances; 7.1 Introduction; 7.2 Principle steps for the tests of a hypothesis; 7.3 Right-sided alternative, test statistic and critical region; 7.4 Left-sided alternative and the critical region; 7.5 Two-sided alternative, critical region and the p-value; 7.6 Difference between two means: Variances known; 7.7 Matched samples and paired comparison; 7.8 Test for the variance; 7.9 Test for the equality of two variances; 7.10 Homogeneity of variances; Exercises.