Introducción a la Estadística con Lenguaje “R”

1 INTRODUCCIÓN A LA ESTADÍSTICA

1.1 Introducción
1.2 Algunos conceptos básicos
1.3 Medición y escalas de medición
1.4 Muestreo e inferencia estadística
1.5 El método científico y el diseño de experimentos
1.6 Computadoras y análisis bioestadístico
1.7 Resumen
Preguntas y ejercicios de repaso
Referencias

2. ESTADÍSTICAS DESCRIPTIVAS

2.1 Introducción 2.2 El arreglo ordenado 2.3 Datos agrupados: la distribución de frecuencias 2.4 Estadística descriptiva: medidas de tendencia central 2.5 De 2.6 Summary

3. ALGUNOS CONCEPTOS BÁSICOS DE PROBABILIDAD

3.1 Introducción 3.2 Dos visiones de la probabilidad: objetiva y subjetiva 3.3 Cálculo de la probabilidad de un evento 3.4 Calculating the Probability of an Event 3.5 Bayes’ Theorem, Screening Tests,

3.6 Summary: Review Questions and Exercises References

4 PROBABILITY DISTRIBUTIONS

4.1 Introduction 4.2 Probability Distributions of Discrete Variables 4.3 The Binomial Distribution 4.4 The Poisson Distribution 4.5 Continuous Probability Distributions 4.6 The Normal Distribution 4.7 Normal Distribution Applications 4.8 Summary

5 SOME IMPORTANT SAMPLING DISTRIBUTIONS

5.1 Introduction 5.2 Sampling Distributions 5.3 Distribution of the Sample Mean 5.4 Distribution of the Difference Between Two Sample Means 5.5 Distribution of the Sample Proportion 5.6 Distribution of the Difference Between Two Sample Proportions 5.7 Summary

6 ESTIMATION

6.1 Introduction 6.2 Confidence Interval for a Population Mean 6.3 The t Distribution 6.4 Confidence Interval for the Difference Between Two Population Means 6.5 Confidence Interval for a Population Proportion 6.6 Confidence Interval for the Difference Between Two Population Proportions 6.7 Determination of Sample Size for Estimating Means 6.8 Determination of Sample Size for Estimating Proportions 6.9 Confidence Interval for the Variance of a Normally Distributed Population 6.10 Confidence Interval for the Ratio of the Variances of Two Normally Distributed Populations 6.11 Summary

7. HYPOTHESIS TESTING

7.1 Introduction 7.2 Hypothesis Testing: A Single Population Mean 7.3 Hypothesis Testing: The Difference Between Two Population Means 7.4 Paired Comparisons 7.5 Hypothesis Testing: A Single Population Proportion 7.6 Hypothesis Testing: The Difference Between Two Population Proportions 7.7 Hypothesis Testing: A Single Population Variance 7.8 Hypothesis Testing: The Ratio of Two Population Variances 7.9 The Type II Error and the Power of a Test 7.10 Determining Sample Size to Control Type II Errors 7.11 Summary

8. ANALYSIS OF VARIANCE

8.1 Introduction 8.2 The Completely Randomized Design 8.3 The Randomized Complete Block Design 8.4 The Repeated Measures Design 8.5 The Factorial Experiment 8.6 Summary

9. SIMPLE LINEAR REGRESSION AND CORRELATION

9.1 Introduction 9.2 The Regression Model 9.3 The Sample Regression Equation 9.4 Evaluating the Regression Equation 9.5 Using the Regression Equation 9.6 The Correlation Model 9.7 The Correlation Coefficient 9.8 Some Precautions 9.9 Summary

10. MULTIPLE REGRESSION AND CORRELATION

10.1 Introduction 10.2 The Multiple Linear Regression Model 10.3 Obtaining the Multiple Regression Equation 10.4 Evaluating the Multiple Regression Equation 10.5 Using the Multiple Regression Equation 10.6 The Multiple Correlation Model 10.7 Summary

11. REGRESSION ANALYSIS: SOME ADDITIONAL TECHNIQUES

11.1 Introduction 11.2 Qualitative Independent Variables 11.3 Variable Selection Procedures 11.4 Logistic Regression 11.5 Summary

12. THE CHI-SQUARE DISTRIBUTION AND THE ANALYSIS OF FREQUENCIES

12.1 Introduction 12.2 The Mathematical Properties of the Chi-Square Distribution 12.3 Tests of Goodness-of-Fit 12.4 Tests of Independence 12.5 Tests of Homogeneity 12.6 The Fisher Exact Test 12.7 Relative Risk, Odds Ratio, and the Mantel–Haenszel Statistic 12.8 Survival Analysis 12.9 Summary

13. NONPARAMETRIC AND DISTRIBUTION-FREE STATISTICS

13.1 Introduction 13.2 Measurement Scales 13.3 The Sign Test 13.4 The Wilcoxon Signed-Rank Test for Location 13.5 The Median Test 13.6 The Mann–Whitney Test 13.7 The Kolmogorov–Smirnov Goodness-of-Fit Test 13.8 The Kruskal–Wallis One-Way Analysis of Variance by Ranks 13.9 The Friedman Two-Way Analysis of Variance by Ranks 13.10 The Spearman Rank Correlation Coefficient 13.11 Nonparametric Regression Analysis 13.12 Summary

14. VITAL STATISTICS

14.1 Introduction 14.2 Death Rates and Ratios 14.3 Measures of Fertility 14.4 Measures of Morbidity 14.5 Summary