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9781891304965

Statistics : Concepts and Methods

by ; ; ; ; ; ; ;
  • ISBN13:

    9781891304965

  • ISBN10:

    1891304968

  • Format: Hardcover
  • Copyright: 2003-03-01
  • Publisher: Mobius Communications Ltd
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Summary

Written for use in high school Advanced Placement statistics courses and covers the material listed in the Topic Outline provided in the College Board AP Statistics Course Description booklet. A TI-83 Plus and TI-89 Graphing Calculator Supplement is bound into the textbook.

Table of Contents

Preface vii
Acknowledgements xi
About the Authors xii
Part I Describing Data
1(184)
Exploring Data by Graphical Methods
3(54)
The Science of Statistics
5(6)
Displaying Small Sets of Numbers: Dotplots and Stem-and-Leaf Displays
11(11)
Graphing Categorical Data
22(5)
Frequency Histograms
27(7)
Density Histograms
34(7)
Misusing Statistics
41(16)
Chapter Review Exercises
51(6)
Summarizing Data by Numerical Measures: Center and Spread
57(70)
The Center of a Data Set
59(8)
Mean versus Median versus Mode as a Measure of Center
67(10)
Measuring the Spread of a Data Set: The Standard Deviation
77(16)
The Normal Distribution
93(7)
Boxplot: The Five-Number Summary
100(11)
Descriptive Data Analysis
111(16)
Chapter Review Exercises
121(6)
Linear Relationships: Regression and Correlation
127(58)
Scatterplots
129(5)
The Correlation Coefficient
134(12)
Regression
146(31)
The Question of Causation
177(8)
Chapter Review Exercises
181(4)
Part II Probability Modeling and Obtaining Data
185(206)
Probabilities and Simulation
187(74)
Experimental Probability
189(8)
Probability Models
197(21)
Simulation: A Powerful Tool for Learning and Doing Statistics
218(21)
Simulating Random Sampling via a Box Model
239(7)
Random Sampling with or without Replacement
246(15)
Chapter Review Exercises
254(7)
Expected Value and Simulation
261(34)
The Expected Value (Theoretical Mean) of a Random Variable
263(12)
Using Five-Step Simulation to Estimate Mean Values
275(10)
The Standard Deviation of a Random Variable
285(10)
Chapter Review Exercises
292(3)
Probability Distributions: The Essentials
295(48)
The Binomial Distribution
297(10)
The Geometric Distribution
307(4)
The Poisson Distribution
311(12)
The Normal Probability Distribution
323(20)
Chapter Review Exercises
339(4)
Obtaining Data: Random Sampling and Randomized Experiments
343(48)
Introduction
345(5)
Experimental Design: Observational Studies versus Randomized Experiments
350(16)
Randomized Block Designs, Including Matched-Pairs Designs
366(6)
Survey Sampling from a Real Population: Probability Sampling versus Non-Probability Sampling
372(8)
From Research Question to Data Collection: Some Examples
380(11)
Chapter Review Exercises
388(3)
Part III Statistical Inference: Estimation and Hypothesis Testing
391(277)
Confidence Interval Estimation
393(74)
An Introduction to the Statistical Estimation Problem
395(13)
The Central Limit Theorum for X and p
408(18)
Large-Sample Confidence Interval for the Population Mean μ
426(5)
Large-Sample Confidence Interval for the Population Proportion p
431(2)
Bootstrapping a Sample, Bootstrapped SEs, and SE-based Bootstrapped Confidence Intervals
433(15)
Confidence Interval for the Difference between Two Population Means μx - μY
448(7)
Large-Sample Confidence Interval for the Difference p1--p2 Between Two Population Proportions
455(3)
Confidence Interval for the Difference of Two Population Means in Matched-Pairs Design Case: μD - μX - μY
458(2)
Point Estimate for the Population Variance σ2 and SD σ, Unbiasedness of an Estimator
460(7)
Chapter Review Exercises
464(3)
Hypothesis Testing
467(92)
The Null Hypothesis and the Alternative Hypothesis
472(3)
Tests for a Population Proportion
475(12)
Tests for Randomized Controlled Experiments Producing Sample Proportions
487(11)
Tests for a Population Mean
498(18)
Tests for Equality of Two Population Proportions and Equality of Two Population Means
516(16)
One-sided and Two-sided Hypothesis Testing
532(7)
Significance Testing versus Acceptance/Rejection Testing: Concepts and Methods
539(12)
Test for a Population Standard Deviation: Issues
551(8)
Chapter Review Exercises
552(7)
Chi-Square Testing
559(66)
Is the Die Fair?
561(3)
How Big a Difference in the D Statistic Makes a Difference?
564(5)
The Chi-Square Statistic
569(5)
Real-Life Chi-Square Examples
574(9)
The Chi-Square Density
583(9)
The Chi-Square Distribution and Its Use for Chi-Square Testing
592(8)
Unequal Expected Frequencies
600(9)
Chi-Square Tests of Independence and Homogeneity for a Two-Way Contingency Table
609(16)
Chapter Review Exercises
619(6)
Inference About Regression
625(2)
Inference about Slope
627(23)
Confidence Interval for Regression-Based Prediction of Y Given x and For Estimation of the Line E(Y | x)
650(4)
Applying Regression to Nonlinear Relationships by Transforming the Variables
654(10)
Chapter Review Exercises
664
Analysis of Variance and Multiple Regression (Provided on included CD-Rom)
2(666)
Introduction to the Analysis of Variance
4(9)
Using the Bootstrap to Test for Differences Among Several Population Means
13(5)
Mean Squares
18(2)
One-Way Analysis of Variance
20(8)
Multiple Comparisons of Population Means for a One-Way ANOVA
28(6)
Two-Way Analysis of Variance
34(12)
Multiple Linear Regression: Simulation-Based Testing and F-Distribution Testing
46(10)
Multiple Regression with Many Explanatory Variables
56(612)
Chapter Review Exercises
62(606)
Glossary
668(106)
Appendices
A Computationally Generated Random Digits
690(2)
B Random Number Tables
692(4)
C Chi-Square Probabilities
696(2)
D Linear Interpolation
698(2)
E Normal Probabilities
700(2)
F Student's t Probabilities
702(2)
G Binomial Probabilities
704(8)
H F-Distribution Probabilities
712(3)
I Bonferroni Confidence Intervals
715(1)
J Cumulative Poisson Probabilities
716(702)
K TI Graphing Calculator Supplement
718(56)
Index 774

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