Basic Statistical Methods and Models for the Sciences

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ISBN 9781584881476
Cat# C147X
 

Features

  • Provides clear explanations of many important statistics topics without extensive derivations
  • Extensively employs Monte Carlo methods-readers become comfortable with random variation, understand how samples reflect properties of the system being studied, and learn to effectively compare competing statistical methods
  • Integrates the use of Minitab for implementation of the ideas and methods
  • Illustrates the use of statistics in diverse areas of science, engineering, and medicineMacros used in the examples and exercises are available for download at www.crcpress.com/e_products/downloads/download.asp?cat_no=C147XA solutions manual is available with qualifying course adoptions
  • Summary

    The use of statistics in biology, medicine, engineering, and the sciences has grown dramatically in recent years and having a basic background in the subject has become a near necessity for students and researchers in these fields. Although many introductory statistics books already exist, too often their focus leans towards theory and few help readers gain effective experience in using a standard statistical software package.

    Designed to be used in a first course for graduate or upper-level undergraduate students, Basic Statistical Methods and Models builds a practical foundation in the use of statistical tools and imparts a clear understanding of their underlying assumptions and limitations. Without getting bogged down in proofs and derivations, thorough discussions help readers understand why the stated methods and results are reasonable. The use of the statistical software Minitab is integrated throughout the book, giving readers valuable experience with computer simulation and problem-solving techniques. The author focuses on applications and the models appropriate to each problem while emphasizing Monte Carlo methods, the Central Limit Theorem, confidence intervals, and power functions.

    The text assumes that readers have some degree of maturity in mathematics, but it does not require the use of calculus. This, along with its very clear explanations, generous number of exercises, and demonstrations of the extensive uses of statistics in diverse areas applications make Basic Statistical Methods and Models highly accessible to students in a wide range of disciplines.

    Table of Contents

    INTRODUCTION
    Scientific Method
    The Aims of Medicine, Science, and Engineering
    The Roles of Models and Data
    Deterministic and Statistical Models
    Probability Theory and Computer Simulation
    Definition: Monte Carlo Simulation
    CLASSES OF MODELS AND STATISTICAL INFERENCE
    Statistical Models - the Frequency Interpretation
    Some Useful Statistical Models
    Narrowing Down the Class of Potential Models
    SAMPLING AND DESCRIPTIVE STATISTICS
    Representative and Random Samples
    Descriptive Statistics of Location
    Descriptive Statistics of Variability
    Other Descriptive Statistics
    SURVEY OF BASIC PROBABILITY
    Introduction
    Probability and its Basic Rules
    Discrete Uniform Models and Counting
    Conditional Probability
    Statistical Independence
    Systematic Approach to Probability Problems
    Random Variables, Expectation and Variance
    The Central Limit Theorem and its Applications
    INTRODUCTION TO STATISTICAL ESTIMATION
    Methods of Estimation
    Distribution of Sample Percentiles
    Adequacy of Estimators
    Confidence Limits and Confidence Intervals
    Confidence Limits and Interval for Binomial p
    Comparing Estimators
    The Bootstrap
    TESTING HYPOTHESES
    Introduction
    Some Commonly Used Statistical Tests
    Types I and II Errors and (Discriminating) Power
    The Simulation Approach to Estimating Power
    Some Final Issues and Comments
    BASIC REGRESSION AND ANALYSIS OF VARIANCE
    Introduction
    Simple Linear Regression
    Multiple Linear Regression
    The Analysis of Variance
    EPILOGUE
    BIBLIOGRAPHY
    SELECTED ANSWERS AND SOLUTIONS
    INDEX

    Editorial Reviews

    "Rosenblatt writes for introductory (non-calculus-based) courses in statistics that offer a clear understanding of statistical procedures together with underlying assumptions and limitations. The author brings a fresh approach to the understanding of statistical concepts by integrating throughout Minitab software, providing valuable insight into computer simulation and problem-solving techniques…Rosenblatt clearly treats the subject matter by carefully wording the explanations and by having readers work with computer-generated data with properties specified by readers. Numerous solved examples; exercises; epilogue with extensions of topics covered. An interesting and useful book. Recommended.
    - CHOICE

    "This text attempts to address the needs of those who use statistics but are not statisticians. Writing such a text poses two challenges. The first challenge is to present mathematically complex ideas in such a way as to engender an intuitive understanding of the concepts without relying on mathematical detail or rigor. The second is to ground these concepts in application, to show how and why they are important from a practical standpoint…the book is successful on both points…"
    - TECHNOMETRICS

    Downloads Updates


    Resource OS Platform Updated Description Instructions
    C147X.zip Cross Platform January 15, 2003

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