Basic Statistical Methods and Models for the Sciences

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CRC Press, Dec 21, 2001 - Mathematics - 296 pages
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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.
 

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Contents

Introduction
1
Classes of Models and Statistical Inference
19
Topic Exponential distributions
32
Sampling and Descriptive Statistics
47
2 Descriptive Statistics of Location
61
3 Descriptive Statistics of Variability
67
Topic Scatter plots
74
Topic The empirical cumulative distribution function
80
Theorem Distribution of independent normal sums
141
2 Distribution of Sample Percentiles
147
Topic Elementary confidence interval construction
155
5 Confidence Limits and Interval for Binomial?
162
6 Comparing Estimators
169
Testing Hypotheses
181
2 Some Commonly Used Statistical Tests
187
Topic Independent twosample Z tests
193

Survey of Basic Probability
89
Topic Formation of events from other events
95
Theorem Bonferroni Inequalities
102
Theorem Corollary to Theorem 4 I ordered sampling
108
Definition Conditional probability of A given B
114
5 Statistical Independence
121
6 Systematic Approach to Probability Problems
123
Definition Variance and standard deviation
131
Topic The chisquare tests of homogeneity
200
3 Types I and II Errors and Discriminatingl Power
206
5 Some Final Issues and Comments
213
3 Multiple Linear Regression
221
Topic The additive twoway layout
227
Epilogue
233
Index
273
Copyright

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About the author (2001)

Rosenblatt is Director of the Office of Biomathematics at the University of Texas Medical Branch, Galveston.

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