contains a few technology assignments that appear at the end of the
chapter. These assignments can be completed using any of the
statistical software. Miniprojects Each chapter contains a few
Miniprojects that appear just before the Decide it Yourself sec
indicated by an asterisk (*). Advanced Exercises All chapters (except
Chapters 1 and 14) have a set of exercises that are of greater difficulty.
Such exercises appear under the heading Advanced Exercises as part of
the Supplementary Exercises. Uses and Mi
least their values are numerical. Categorical regressors are classification
variables. Their values or levels are classes (for example names,
colors, or something like that), which have no numerical scale. The
categorical regressors z1, . . . , zl can be
0.2 0.6 0.1 ri 5.5 7 10 8 3 3 5.5 3 9 1 By summing from these, we
obtain the realized values w+ = 13 and w = 42, so w = 13. The
corresponding P-probability is P = 0.1562 (MATLAB) and thus, null
hypothesis isnt rejected in this case either. MATLAB-command
does the 2007 charitable givings of the six companies in Table 1.1. For
some elements in a data set, however, the values of the variable may be
the same. For example, if we collect information on incomes of
households, these households are expected to hav
order to perform the test, lets take a sample from each of the
populations. These samples are then combined as a pooled sample and
its elements are ordered in increasing order, just like in the Mann
Whitney test. Especially, duplicate values are handled s
number of rows and columns, respectively, in the contingency table df
1R 121C 12 E 1Row total21Column total2 Sample size E np z 1 p 1 p
22 1 p1 p22 sp ^ 1p ^ 2 sp ^ 1p ^ 2 Bp q a 1 n1 1 n2 b p 1 p 2: p x1
x2 n1 n2 or n1p 1 n2 p 2 n1 n2 sp ^ 1p ^ 2 B p 1q
thats available 24/7 From multiple study paths, to self-assessment, to a
wealth of interactive visual and audio resources, WileyPLUS gives you
everything you need to personalize the teaching and learning
experience. With WileyPLUS: Find out how to MAKE IT
Clear and Concise Exposition The explanation of statistical methods and
concepts is clear and concise. Moreover, the style is user-friendly and
easy to understand. In chapter introductions and in transitions from
section to section, new ideas are related
called an element, and the score of each student is called an
observation. (These terms are defined in more detail in Section 1.4.) A
data set in its original form is usually very large. Consequently, such a
data set is not very helpful in drawing conclus
University John Haussermann Monterey Peninsular College Shana Irwin
University of North Texas Gary S. Itzkowitz Rowan State College Joanna
Jeneralczuk University of Massachusetts, Amherst Jean Johnson
Governors State University Michael Karelius American R
n(n + 1)2 = (12 + 22 + + n 2 ) 1 4 n(n + 1)2 = 1 6 n(n + 1)(2n + 1) 1
4 n(n + 1)2 = 1 12 n(n 2 1), similarly to the other sample. By using
these and with a little calculation, we obtain a simpler formula for the
rank correlation coefficient rS = 12 n(n2 1
Chapter 14: Multiple Regression Chapter 15: Nonparametric Methods
Using WileyPLUS This online teaching and learning environment
integrates the entire digital textbook with the most effective instructor
and student resources to fit every learning style. Wi
Definitions of important terms, formulas, and key concepts are enclosed
in colored boxes so that students can easily locate them. Cautions
Certain items need special attention. These may deal with potential
trouble spots that commonly cause errors, or the
3*ones(1,length(Z)]; > P=kruskalwallis([X Y Z],group) P = 0.4354 7.5
Rank Correlation Coefficient [16.5] If two populations are connected
element by element, their relation is often represented by a value
obtained from the sample, the (Pearson) correlatio
the survey said that they are influenced by such commercials, 30% said
that they are not influenced because they regularly shop at those
stores, and 44% said that they are not influenced at all. The chart
indicates that there is 1% margin of error. We wil
Estimation of a Population Mean: Not Known 354 8.5 Estimation of a
Population Proportion: Large Samples 362 Case Study 82 Which Sound
Is the Most Frustrating to Hear? 365 Uses and
Misuses/Glossary/Supplementary Exercises/Advanced Exercises/SelfReview Test
be plotted as a function of order of experiments, in other words the
points (i, ei) (i = 1, . . . , n), and examine the plot similarly as before. In
the example in section 6.2 the residual vs. the predicted respond is
quite usual (the upper plot), as well
tsx where sx s1n x zsx sx s1n m x p: z p p sp ^ nN .05: sp p ^ 1pqn p:
mp ^ p p xn JWCL216_fgatefold_001-008.qxd 12/7/09 7:34 PM Page 2
Chapter 10 Estimation and Hypothesis Testing: Two Populations
Mean of the sampling distribution of Confidence interval
100 Chapter 3 Numerical Descriptive Measures Mean for ungrouped
data: xN and Mean for grouped data: mfN and where m is the
midpoint and f is the frequency of a class Median for ungrouped data
Value of the middle term in a ranked data set Range Largest val
crackdown on aggressive driving by 150 police agencies in Maryland,
Virginia, and Washington, D.C. People are trying to get to too many
places and they dont allow themselves the time to get where they
need to be. Amanda Cooke, 21, a computer teacher in Ru
> q0 or H1 : q(f0) 6= q0. Lets denote by f a value such that exactly q(f) =
q0. The null hypothesis can then be written in the form H0 : f = f0 and
the above mentioned alternative hypotheses are correspondingly of the
form H1 : f0 < f , H1 : f0 > f or H1
Colombia to the United States in 2005. 5. According to a 2008 SHRM
Employee Benefit Survey, 3% of large companies allow pets at work. 6.
According to the Centers for Disease Control and Prevention, flu costs
the United States about $87 billion a year in t
A more modest goal would for example be just a confidence interval for
the statistic. 8.3 Monte Carlo Integration Nowadays stochastic
simulation is often called Monte Carlo simulation, although the actual
Monte Carlo method is a numerical integration meth
ranked data set KEY FORMULAS Prem S. Mann Introductory Statistics,
Seventh Edition JWCL216_fgatefold_001-008.qxd 12/11/09 12:18 AM
Page 1 Joint probability of two mutually exclusive events: Addition
rule for mutually nonexclusive events: Addition rule for
approximation is 4.8429. In fact, the volume V can also be obtained
with the Monte Carlo method. This procedure is: 1. There are two
counters n and l in the method. Initially n = l = 0. CHAPTER 8.
STOCHASTIC SIMULATION 91 2. Generate a random point r from
Consequently, the study of statistical methods has taken on a
prominent role in the education of students from a variety of
backgrounds and academic pursuits. From the first edition, the goal of
Introductory Statistics has been to make the subject of stat