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Biostatistics How It Works

Langue : Anglais

Auteur :

Couverture de l’ouvrage Biostatistics

For one-semester undergraduate or master's level introductory courses in Biostatistics.

This concise, algebra-based text is a straight forward, clear approach to biostatistics, containing rigorous explanations of elementary methods without the ?bells and whistles? associated with other books that cover this topic. Its goal is to provide a sophisticated introduction of how statistics works at a beginning level. Every concept is carefully and clearly explained, enriched by a mathematical/statistical justification, and then illustrated by at least one concrete, worked data example. Beginning with basic concepts, the text allows readers to acquire the ability to understand rather complicated statistical issues, such as linear regression theory and application.

I. PROBABILITY: PROPERTIES OF SAMPLES.

1. Descriptive Statistics.

Summary Measures. Graphic Representation.

2. Probability.

Eight Rules of Probability. Composite Events. Bayes' Rule. Four Probability Problems.

3. Random Variables.

Random Variables. Joint Probability Distribution.

4. Probability Distributions.

Binominal Probability Distribution. Normal Profitability Distribution. Central Limit Theorem.

II. STATISTICS: PROPERTIES OF SAMPLED POPULATIONS.

5. Statistical Inference I.

Description of a Confidence Interval. Statistical Hypothesis Testing.

6. Statistical Inference II.

Student's t—Distribution. Computation of Sample Size.

7. Chi-Square Analysis.

Independence of Two Categorical Variables “ r by c Table.”

8. Linear Regression.

Least Squares Estimation. Assessing an Estimated Regression Line. Assessing Regression Lines from Two Groups.

9. Correlation.

Testing a Correlation Coefficient. Confidence Interval for a Correlation Coefficient.

References.

Appendix A:

Table A.1: Normal Distributions. Table A.2: t-distribution. Table A.3: Chi-square Distribution. Table A.4: Values for Testing Correlations (conversion of t-values). Table A.5: Values for Testing Rank Correlations. Chart: Confidence Intervals for Correlation Coefficients.

Appendix B:

B.1: Summation Notation. B.2: Derivation of the Normal Equations for Simple Linear Regression. B.3: Poisson Probability Distribution. B.4: Problem Sets: 1 to 15; B.5: Partial Solutions to Most Problems (Sets 1 to 15).

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