About this book
The book 'Biostatistics' consists of ten chapters explaining statistical tools used in analyzing biological, biomedical and biochemical experimental data. Statistical tools, techniques and methods are explained with many real life problems and special care is taken to explain mathematical formulae and calculations keeping in view that the readers are non-mathematical students who are not having much mathematical background. The book mainly concentrates on (1) Collection, classification and tabulation of data, (2) Presentation of Data (both diagrammatic and graphical repreentation) (3) Analysis and (4) Inference (both estimation of parameters and testing of hypotheses). Most popularly used DMR test, by any biological students is also discussed along with its applications. At the end of each chapter, self assessment questions are given. This book can also be used by civil, mechanical, electrical and computer engineers in analyzing their experimental data and to take statistically valid decisions.
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Information
Table of contents
- 1. Introduction to Biostatistics
- 1.1. Need for decision making (DM)
- 1.2. Basic concepts
- 1.3. Sampling techniques
- 1.4. Simple random sampling (SRS)
- 1.5. Stratified random sampling (StRS)
- 1.6. Systematic sampling (SyS)
- Review questions and problems
- References
- 2. Collection, classification and tabulation of data
- 2.1. Introduction to collection of data
- 2.2. Editing of data
- 2.3. Classification of data
- 2.4. Tabulation
- 2.5. Frequency tables
- Review questions and problems
- References
- 3. Presentation of data
- 3.1. Introduction
- 3.2. Diagrammatic representation of data
- 3.3. Graphical representation of data
- 3.4. Graphs for frequency distributions
- 3.5. Graphs for time series
- 3.6. Range graphs
- Review questions and problems
- References
- 4. Different statistical measures
- 4.1. Introduction
- 4.2. Measures of central tendencies
- 4.3. Measures of variation or dispersion
- 4.4. Coefficient of Variation
- 4.5. Skewness
- 4.6. Kurtosis
- Review questions and problems
- References
- 5. Probability
- 5.1. Introduction
- 5.2. Basic concepts and notations
- 5.3. Definitions of probability
- 5.4. Theorems on probability
- 5.5. Conditional probability and multiplication theorem
- 5.6. Properties and Utilities of Probability
- Review questions and problems
- References
- 6. Probability distributions
- 6.1. Introduction
- 6.2. Random variable
- 6.3. Binomial distribution
- 6.4. Poisson distribution
- 6.5. Normal distribution
- 6.6. Exponential distribution
- Review questions and problems
- References
- 7. Correlation and regression analysis
- 7.1. Introduction to correlation and regression analysis
- 7.2. Scatter diagram method
- 7.3. Karl Pearson’s method
- 7.4. Spearman’s method
- 7.5. Regression lines and regression coefficients
- 7.6. Fitting of regression lines
- Review questions and problems
- References
- 8. Testing of Hypothesis-Large Sample Tests
- 8.1. Introduction to testing of hypotheses
- 8.2. Some fundamental definitions and concepts used in testing of hypothesis
- 8.3. Large sample test procedure
- 8.4. Tests for Proportions
- 8.5. Tests for means
- 8.6. Test the significant difference between two sample standard deviations (S.D.’s)
- Review questions and problems
- References
- 9. Testing of Hypotheses-Small Sample Tests
- 9.1. Introduction
- 9.2. Chi-Square test or c2 – test
- 9.3. Student’s t-test
- 9.4. Paired t-test
- 9.5. Tests of sample correlation coefficients
- 9.6. Tests for sample variances
- Review questions and problems
- References
- 10. Analysis of variance or ANOVA
- 10.1. Introduction to analysis of variance (ANOVA)
- 10.2. Objectives and assumptions of ANOVA
- 10.3. ANOVA table and classification of ANOVA
- 10.4. ANOVA – one way classification
- 10.5. ANOVA – Two way classification
- 10.6. Further statistical analysis – DMR-test
- Review questions and problems
- References
- Appendix
- Table – A–1: Cumulative standard normal distribution
- Table A–2 : Chi-square Right Hand Tail Area
- Table A–3: Values of T for a Specified Right Tail Area
- Table A–4 Table values of F-Test at 5% l.o.s.
- Table A–5: Table values of F-Test at 1% l.o.s.
- Table A–6. Duncan’s Multiple Range Tables
- Index
