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Inferential Statistics

The Basics for Biostatistics: Volume II

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Language:  English
The book is intended to present the Concepts, Definitions, and Terminology of Statistics, as a growing and field of study, in an elementary presentation with a minimum mathematical background.
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The Medical Field, as other fields, is full of data of all types. The Basics for Biostatistics is written to introduce to the medical reader, the tools and procedures for analyzing the collected data, randomly or by experimentation. The Manuscript introduces the Concepts, Definitions, and Terminology of Statistics, in an easy presentation to read and use efficiently. With that many software tools and programs, as well as calculators, the minimum mathematical background barely surpass college algebra. The Basics for Biostatistics should prepare the reader to make a good decision based on data.

  1. Preface
  2. Estimation 
    1. Introduction
    2. Sampling Methods 
    3. Point Estimation 
    4. Interval Estimation 
    5. Confidence Interval about two Parameters 
    6. Sample Size Determination 
  3. Hypotheses Testing about One Parameter 
    1. Introduction 
    2. Fundamental Concepts 
    3. Methods and Steps in Testing Statistical Hypotheses 
    4. Hypothesis Testing About One Parameter
    5. The power of a Test
  4. Hypotheses Testing about Two Parameters 
    1. Introduction 
    2. Tests about two proportions, P1 – P2
    3. Tests about Two Means, μ12, Independent Samples 
    4. Tests about Two Means,μ12 , Dependent Samples 
    5. Tests about the Ratio of Two Variances 
  5. Simple Linear Regression and Correlation 
    1. Introduction
    2. Regression Models
    3. Fitting a straight line (First order Model) 
    4. Correlation 
    5. Hypothesis Testing in Regression Analysis 
    6. Confidence Intervals on β0 and β
  6. Multiple Linear Regression Models
    1. Introduction 
    2. Matrix Presentation and Multiple Linear Regression Model 
    3. Confidence and Prediction Intervals 
    4. Estimation and Testing in Multiple Linear Regressions 
    5. Other Types of Regression and Transformations 
  7. Other Tests and Analysis of Variance 
    1. Introduction 
    2. Goodness-of-Fit Test 
    3. Contingency Table and Test for Independence and Homogeneity
    4. The One-Way Analysis of Variance 
    5. The Two-Way Analysis of Variance 
  8. Nonparametric Methods 
    1. Introduction 
    2. The Sign Test
    3. The Wilcoxon Signed-Rank Test
    4. The Rank – Sum Test 
  9. Appendix A 
    1. Tables 
  10. Appendix B 
    1. Answers to Selected Exercises 
  11. Appendix C 
    1. Important Formulas 
  12. Appendix D 
    1. References
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Mohammed A. Shayib