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CHAPTER 11
Analysis of Variance: Factorial Design
Summary
A factorial design has one dependent variable and two or more independent
variables called factors. Each level of one factor is paired with every level of the
other factor. A factorial ANOVA tests
Formulas for Simple linear regression
Data points (x1 ,y1 ), (x2 ,y2 ), ., (xn ,yn )
(1,5), (2,7), (3,9), (4,6), (5,8)
Sum of x values: !xi = 15
_ i=1
Mean of x is x = 15/5=3.
n
_
!
For y:
yi = 35, y = 7
n
i=1
Raw sum of squares for x:
!x2i = 1+4+.+25 = 5
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When developing an interval estimate for the difference between two sample means, with sample sizes of
n(sub1) and n(sub2),
n(sub1) and n(sub2) can be of different sizes.
When each data value in one sample is matched with a corresponding data value in ano
A 95% confidence interval for a population mean is (100, 200). A 90% confidence interval would be Narrower
The correlation coefficient ranges between 1 and +1
For a confidence interval for the mean when sigma is known, the proper distribution to use isTh
The ANOVA procedure is a statistical approach
for determining whether or not
the means of two or more populations are equal
an ANOVA procedure is used for data that was
obtained from four sample groups each
comprised of five observations. The degrees of
f
When developing an interval estimate for the
difference between two sample means, with
sample sizes of n(sub1) and n(sub2),
n(sub1) and n(sub2) can be of different sizes.
When each data value in one sample is matched
with a corresponding data value in ano
STATISTICS 110/201 PRACTICE FINAL EXAM KEY (REGRESSION ONLY)
MULTIPLE CHOICE QUESTIONS
Circle the best answer.
1. In a linear regression analysis with the usual assumptions (stated on page 218 and other places in
the text), which one of the following quan
Which of the following has an F distribution?
s^2 1/s^2 2
The chisquare value for a onetailed test (lower
tail) when the level of significance is 0.1 and the
sample size is 15 is
7.785
The sampling distribution of the ration of two
independent sample va
Chapter 9
Producing Data: Experiments
BPS  5th Ed.
Chapter 9
1
How Data are Obtained
Observational Study
Observes individuals and measures variables of
interest but does not attempt to influence the
responses
Describes some group or situation
Sample s
Chapter 19
Inference about a Population Proportion
BPS  5th Ed.
Chapter 19
1
Proportions
The proportion of a population that has
some outcome (success) is p.
The proportion of successes in a sample
is measured by the sample proportion:
p number of succe
Chapter 3
The Normal Distributions
BPS  5th Ed.
Chapter 3
1
Density Curves
Example: here is a
histogram of vocabulary
scores of 947 seventh
graders.
The smooth curve
drawn over the
histogram is a
mathematical model for
the distribution.
BPS  5th Ed.
Cha
Chapter 22
Two Categorical Variables:
The ChiSquare Test
BPS  5th Ed.
Chapter 22
1
Relationships: Categorical Variables
Chapter 20: compare proportions of
successes for two groups
Group is explanatory variable (2 levels)
Success or Failure is outcome
Chapter 17
Inference about a Population Mean
BPS  5th Ed.
Chapter 17
1
Conditions for Inference
about a Mean
Data are from a SRS of size n.
Population has a Normal distribution
with mean and standard deviation .
Both and are usually unknown.
we use infe
Chapter 20
Comparing Two Proportions
BPS  5th Ed.
Chapter 20
1
Case Study
Machine Reliability
A study is performed to testofthereliabilityof
productsproducedbytwomachines.MachineA
produced8defectivepartsinarunof140,while
machineBproduced10defectivepartsi
Chapter 15
Thinking about Inference
BPS  5th Ed.
Chapter 15
1
Decision Errors: Type I & Type II
BPS  5th Ed.
Chapter 15
2
Decision Errors: Type I
If we reject H0 when in fact H0 is true, this is a Type I
error.
If we decide there is a significant relati
Chapter 14
Introduction to Inference
BPS  5th Ed.
Chapter 14
1
Stating Hypotheses
Null Hypothesis, H0
The statement being tested in a statistical test
is called the null hypothesis.
The test is designed to assess the strength of
evidence against the null
Chapter 18
TwoSample Problems
BPS  5th Ed.
Chapter 18
1
Case Study
Exercise and Pulse Rates
A study performed to compare the mean resting pulse rate
of adult subjects who regularly exercise to the mean
resting pulse rate of those who do not regularly ex
Chapter 81 : Multiple
Processor Systems
Multiple Processor Systems
Multiprocessor Hardware
UMA Multiprocessors
NUMA Multiprocessors
Multicore Chips
Multiprocessor Operating Systems
Types of Operating Systems
Multiprocessor Syncronization
Multiproces
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