Statistics in Plain English

by Brightman, Harvey J.

• ISBN13: 9780538132107
• ISBN10: 0538132108
• Edition: 1st
• Format: Paperback
• Copyright: 1985-10-31
• Publisher: Duxbury Press

Summary

Designed for self-instruction, this text is intended for students to use on their own while simultaneously taking a statistics course using a standard textbook. Then on mathematical approach maximizes the use of verbal and visual languages. The text covers such topics as Bayes' Theorem and statistical independence, probability distributions, confidence intervals, and analysis of variance.

Table of Contents

Introduction and Descriptive Statistics	1	(30)
A Note to the Reader	1	(1)
Introduction	2	(3)
Central Tendency	5	(12)
Measures of Spread, Dispersion, or Variability	17	(11)
Tchebycheff's Theorem: A Few Numbers in Place of Many	28	(3)
Basic Probability	31	(38)
Introduction to Probability	31	(1)
Basic Probability Concepts	32	(13)
Introduction to Statistical Independence	45	(4)
Statistical Independence and Contingency Tables	49	(9)
Joint Probability	58	(1)
Revising Probabilities: The Idea Behind Bayes' Theorem	59	(10)
Probability Distributions	69	(52)
Introduction	69	(1)
Random Variables and Probability Models	70	(4)
A Bernoulli Process and Statistical Independence	74	(8)
More on a Bernoulli Process	82	(4)
The Binomial Model	86	(17)
Continuous Random Variables and the Normal Model	103	(18)
Sampling, Confidence Intervals, and Hypothesis Testing	121	(54)
Introduction	121	(1)
Sampling and What Can Go Wrong	121	(10)
The Sampling Distribution and the Central Limit Theorem	131	(10)
Drawing Inductive Inferences Through Confidence Intervals	141	(15)
Some Final Thoughts on Confidence Intervals	156	(4)
Hypothesis Testing: An Alternative Approach to Confidence Intervals	160	(15)
Experimentation and Analysis of Variance	175	(50)
Introduction	175	(1)
The One Factor Completely Random Design	176	(17)
When to Consider a One Factor Randomized Block Design	193	(17)
When Is the Multifactor Design Appropriate?	210	(15)
Regression Analysis	225	(42)
Introduction	225	(3)
Running Regression Studies	228	(4)
A Quick Visual Analysis-The Circle of the Ellipse	232	(4)
Determining the Best Fitting Straight Line	236	(8)
Inductive Inference and the Analysis of Variance	244	(8)
Making Predictions	252	(8)
Multiple Regression Studies: Many Independent Variables	260	(5)
Association and Cause and Effect	265	(2)
Solutions to the Exercise Sets	267	(32)
Index	299