Statistics

Statistics

1st Edition - February 1, 1982

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  • Author: H. T. Hayslett
  • eBook ISBN: 9781483106052

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Description

Statistics covers the basic principles of Statistics. The book starts by tackling the importance and the two kinds of statistics; the presentation of sample data; the definition, illustration and explanation of several measures of location; and the measures of variation. The text then discusses elementary probability, the normal distribution and the normal approximation to the binomial. Testing of statistical hypotheses and tests of hypotheses about the theoretical proportion of successes in a binomial population and about the theoretical mean of a normal population are explained. The text then considers testing of hypotheses about the mean of a normal population when the population variance is not known and testing the hypotheses about the mean of populations that are not normal. The book also describes correlation and regression, confidence limits, non-parametric statistics, and the analysis of variance. The text concludes by giving more complex problems and step-by-step directions for the various statistical tests. Statisticians and students taking Statistics courses will find the book invaluable.

Table of Contents


  • 1 What is Statistics?

    The Present Importance of Statistics

    Two Kinds of Statistics

    2 Pictorial Description of Data

    Introduction

    Selecting a Random Sample

    Classification of Data

    Frequency Distributions and Cumulative Frequency Distributions

    Graphical Representation of Data

    Histogram

    Frequency Polygon

    Ogive

    Exercises

    3 Measures of Location

    Introduction

    The Mid-range

    The Mode

    The Median

    The Arithmetic Mean

    The Median of Classified Data

    Summation Notation

    The Mean of Classified Data

    Exercises

    4 Measures of Variation

    Introduction

    The Range

    The Mean Absolute Deviation

    The Variance and the Standard Deviation

    The Variance and Standard Deviation of Classified Data

    Exercises

    5 Elementary Probability and the Binomial Distribution

    Introduction

    Probabilities of Simple Events

    Probabilities of Two Events

    Probabilities for Combinations of Three or More Events

    Permutations

    Fundamental Principle

    Combinations

    More Probability

    The Binomial Distribution

    The Theoretical Mean of the Binomial Distribution

    The Theoretical Variance of the Binomial Distribution

    Exercises

    6 The Normal Distribution

    Introduction

    The Normal Distribution

    Use of Standard Normal Tables

    More Normal Probabilities

    The Normal Approximation to the Binomial

    Theorem

    Exercises

    7 Some Tests of Statistical Hypotheses

    Introduction

    The Nature of a Statistical Hypothesis—Two Types of Error

    Test of H0: π = π0 versus a Specified Alternative

    Tests about the Mean of a Normal Distribution

    Exercises

    8 More Tests of Hypotheses

    Introduction

    Test of H0: μ = μ0, Normal Population, σ2 Unknown

    Tests about the Mean of a Non-normal Population

    Tests about the Difference of Two Proportions

    Tests about the Difference of Two Means

    Exercises

    9 Correlation and Regression

    The Sample Correlation Coefficient

    Computation of r

    Testing Hypotheses about the Population Correlation Coefficient

    Linear Regression

    Finding the Regression (Least-squares) Line

    Testing Hypotheses about μ in a Regression Problem

    Testing Hypotheses about β in a Regression Problem

    Exercises

    10 Confidence Limits

    Introduction

    A Note on Inequalities

    Confidence Intervals for μ

    Confidence Interval for π

    Confidence Interval for μ1 — μ2

    Confidence Interval for π1 — π2

    Confidence Interval for ρ

    Exercises

    11 Non-Parametric Statistics

    Introduction

    The Chi-squared Distribution

    Contingency Tables

    The Rank-correlation Coefficient

    The Sign Test (One Population)

    The Wilcoxon Signed-rank Test

    The Rank-sum Test (Two Populations)

    Exercises

    12 The Analysis of Variance

    Introduction

    One-way Analysis of Variance

    One-way Analysis of Variance—Another Approach

    One-way Analysis of Variance, Different Sample Sizes

    Two-way Analysis of Variance

    Exercises

    Appendix

    List of Selected Symbols

    Tables

    t-Distribution

    Squares

    Square Roots

    Area of the Standard Normal Distribution

    x2-Distribution

    Fisher-z Values

    Spearman Rank-correlation Coefficient

    Wilcoxon Signed-rank Values

    Rank-sum Critical Values

    F-Distribution

    Answers to Exercises

    Index




Product details

  • No. of pages: 256
  • Language: English
  • Copyright: © Made Simple 1982
  • Published: February 1, 1982
  • Imprint: Made Simple
  • eBook ISBN: 9781483106052

About the Author

H. T. Hayslett

About the Editor

Patrick Murphy

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