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FREQUENTLY USED FORMULAS
CHAPTER 2
Proportion
p = __
Percentage
% = (__)× 100 CHAPTER 4
Mean
X = ______
CHAPTER 5
Standard deviation ___________
2 s = ___________
CHAPTER 6
Z scores
Z = _______
CHAPTER 7
Confidence interval for a sample mean
c.i. = X Z ________
Confidence interval for a sample proportion __________
c.i. = P s ± Z __________ CHAPTER 8
Means
Z(obtained) = __________
Proportions
Z(obtained) = ______________ u u
CHAPTER 9
Means
Standard deviation of the sampling distribution
for sample means ________________
2
_______ _______
x −x
1 2
Pooled estimate of population proportion
____________
u
1 2
Standard deviation of the sampling distribution for sample proportions
__________ ______________ p − p = Pu(1 − P u ) (N1 + N 2 )/N1N 2
Proportions
Z(obtained) = __________ p − p
CHAPTER 10
Total sum of squares
SST = ∑X 2 − N X 2
Sum of squares between
SSB = ∑N k(X k − X )2
Sum of squares within
SSW = SST − SSB
Degrees of freedom for SSW
dfw = N − k
Degrees of freedom for SSB
dfb = k − 1
Mean square within
MSW = ____
Mean square between
MSB = ____
F ratio
Z(obtained) = ________ x − x
F = _____
(continued on inside back cover)
The Essentials of STATISTICS
A Tool for Social Research
Second Edition
Joseph F. Healey Christopher Newport University
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The Essentials of Statistics: A Tool for Social Research, Second Edition
Joseph F. Healey
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1 2 3 4 5 6 7 12 11 10 09
Brief Contents
Preface / xv
Chapter 1
PART I
Chapter 2
Chapter 3
Prologue: Basic Mathematics Review / 1
Introduction / 9
DESCRIPTIVE STATISTICS
Basic Descriptive Statistics: Percentages, Ratios and Rates, Frequency Distributions / 30
Charts and Graphs / 59
Chapter 4
Chapter 5
Chapter 6
Measures of Central Tendency / 85
Measures of Dispersion / 105
The Normal Curve / 127
PART II
Chapter 7
Chapter 8
INFERENTIAL STATISTICS
Introduction to Inferential Statistics, the Sampling Distribution, and Estimation / 146
Hypothesis Testing I: The One-Sample Case / 177
Chapter 9 Hypothesis Testing II: The Two-Sample Case / 206
Chapter 10
Chapter 11
Hypothesis Testing III: The Analysis of Variance / 232
Hypothesis Testing IV: Chi Square / 256
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