Table of Contents
Section I Introduction
Chapter 1. Applications of Statistics
Chapter 2. Statistical Terms
Descriptive Statistics
• Inferential Statistics
Chapter 3. Data Types
• Categorical Data
• Numerical Data
Chapter 4. Data Classification
• Classification of numerical data
• Classification of categorical data
Chapter 5. Data Presentation
• Pictogram
• Pie Diagram
• Bar diagram
• Line diagram
• Histogram
• Frequency polygon
• Ogive curves
• Scatter Diagram Regression line
• Box and whiskers plot:
Chapter 6. Measures of Central Tendency
• Mean
• Median
• Mode
Chapter 7. Measures of Location
• Percentile
• Decile
• Quartile
Chapter 8. Measures of Dispersion
• Range
• Interquartile Range
• Coefficient of quartile deviation
• Mean Deviation
• Mean square deviation
• Variance and standard deviation
• Coefficient of variance
• Skewness
• Kurtosis
Chapter 9. Sampling Methods
• Sampling Process
• Without replacement (WOR) vs with replacement (WR)
• Probability Sampling
• Non-probability sampling
Section II Tests for Inference
Chapter 10. Statistical Distribution- Continuous
• Normal distribution
• Standard normal distribution:
• Student t-distribution:
• Chi-square distribution:
• F-distribution:
Chapter 11. Sampling Distribution and Hypothesis testing
• Confidence interval:
• Difference in means
• Concept of Z-statistics
• Hypothesis Testing:
Chapter 12. Test of Inference- One Sample or two sample mean
• One sample:
• Two sample:
• Test for homogeneity of variance
• Two small sized sample- Test for inference:
• Test for inference of paired samples:
Chapter 13. Test for Inference- Multiple sample comparisons
• Concept of sum of squares:
• ANOVA one way
• ANOVA two way
Chapter 14. Test for Inference- Categorical Data I
• Tabulation of categorical data
• Testing for significance of individual proportion
• Testing for significance of difference between two proportions
Chapter 15. Test for Inference- Categorical Data II
• 1xC tables
• RxC Table
• 2x2 table
Chapter 16. Test for Inference- Correlation and Regression
• Pearson's correlation coefficient
• Test for the significance of r:
• Regression analysis
Chapter 17. Sample Size Estimation
• Sample size for assessing significance of single mean:
• Sample size for assessing significance of single proportion:
• Sample size for assessing significance of two means:
• Sample size for assessing significance of two proportion:
• Sample size for correlation coefficient:
• Sample size for sensitivity and specificity:
• Sample size for univariate logistic regression:
• Relative risk
• Sample size to assess significance to two incidences in a cohort study
• Sample size for case control and cohort studies:
• Sample size for finite population:
Chapter 18. Epidemiological Studies
• Cohort Study:
• Case Control Study:
• Sources of errors in epidemiological studies:
• Designing study and writing a study report:
Chapter 19. Analysis of Diagnostic Test
• Sensitivity (Sn):
• Specificity (Sp):
• Positive predictive value (PPV):
• Negative predictive value (NPV):
• Accuracy:
Section III Demography and Life Tables
Chapter 20. Demography
• Utility of demographic data:
• Demographic publications in India are available from:
• Sources of demographic data:
• Stages of life:
Chapter 21. Measures of Demography
• Measures of Population:
• Measures of fertility and reproduction:
• Measures of Morbidity:
• Measures of Mortality:
• Measures related to population control:
• Measures of health:
Chapter 22. Infectious Disease Epidemiology
• Primary attack Rate:
• Secondary attack rate (SAR):
• Case fatality rate (CFR):
• Cause specific mortality rate (CSMR):
• Infection rate (IR):
Chapter 23. Life Tables
• Simplified example:
Section IV Concept of Probability
Chapter 24. Introduction to Probability
• Axiomatic Approach using set function
• Definitions:
• Theorems of Probability
Chapter 25. Random Variable and Mathematical Expectation
Chapter 26. Statistical Distribution- Discrete
Binominal Distribution:
Appendix
Index
