STAT 2507E{Introduction to Statistical Modelling I

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					                       STAT 2507 E – Introduction to Statistical Modelling I

Term: Winter 2010
Instructor: Majid Mojirsheibani (Office: HP5229)
Webpage: http://www.math.carleton.ca/∼majidm/Teaching-2507.html
Office Hours: Mondays 1:00 pm– 2:00 pm and Thursdays 2:00 pm – 3:00 pm.
Required Text: Introduction to Probability and Statistics; Preliminary Canadian Edition, by Mendenhall,
Beaver, Beaver, and Ahmed.
Lectures: Tuesdays and Thursdays, 7:35 pm – 8:55 pm, in Loeb Building C264.
Lab: One hour COMPULSORY computer lab per week (check your timetable): You MUST go only to the lab
section assigned to you.
Grades: The course grade will be made up of 2 parts: Term Work (50%) and Final Examination (50%).
Term Work: One term test (25%) and 5 assignments (25%):
– There will be a 90-minute closed book, multiple-choice, TERM TEST on Friday, February 26, starting
    at 6:00 pm. The place will be announced.
– There will be 5 assignments with specific due dates.
Final Examination: A closed book examination of the whole course covered during the term. The format in-
cludes both multiple-choice and regular questions. This is a 3-hour examination scheduled by the University and
will take place sometime during the examination period. It is the responsibility of each student to be available
at the time of the examination. In particular, no travel plans for the examination period should be made until
the examination schedule is published.

Homework: Selected exercises, mainly from the text, will be assigned for practice. These exercises are not to
be handed in and will not be graded. However, to succeed in the course it is absolutely essential that you do
the exercises on a regular basis.

IMPORTANT NOTES:
(a) You will receive a zero if you miss the test, unless you provide me with a proper documented reason (e.g.,
medical), soon after the test. The same rule applies to each assignment. There will be NO make-up tests or
assignments and NO late assignments are accepted.

(b) Students wishing to see their final examination papers must make an appointment within three weeks of
the examination to do this. Please remember that we do not change your grade on the basis of your needs (such
as scholarships, etc).

(c) The last day for withdrawal from the course is March 12, 2010.

Calculators: You may use only simple non-programmable, non-graphing calculators for the tests and the final
examination in this course. I reserve the right to disallow any calculators.

Math Tutorial Centre: Room 1160 HP (tunnel junction to Herzberg Building) is a drop-in centre where
students in elementary courses can get one-on-one help in mathematics, probability, and statistics.

                                         Tentative Course Outline
Week 1.
Chapter 1 (and 0)): What is statistics? Population and sample. Elements of statistical problems. Data sets,
describing data sets by graphs, histograms, stem-and-leaf plots.
Week 2.
Chapters 2: Mathematical notation. Mean, median, mode. Standard deviation, variance. Tchebysheff’s theo-
rem, empirical rule. Percentiles, quartiles, z-scores. Box plots.
Week 3.
Chapter 4: Events, sample space, combination of events, probability of an event. Addition rule, multiplicative
rule. Conditional probability and independence.
Week 4.
Chapters 4 : Bayes’ rule. Probability distribution of a discrete random variable. Expectation and variance.
Week 5.
Chapter 5: Binomial, Poisson, and Hypergeometric distributions.
Week 6.
Chapter 6: Continuous distributions, normal distribution. Normal approximation to the binomial.
Week 7.
Chapter 7: Random sampling. Sampling distributions. Central Limit Theorem. Sample mean and sample
proportion. Sum and difference of independent random variables.
Weeks 8 & 9.
Chapters 8 : Estimation and Large samples. Population mean. Large-sample confidence intervals for the popu-
lation mean. Confidence intervals for the parameter of a binomial distribution. Choosing sample size. Difference
between two means. Difference between two binomial proportions.
Weeks 9 & 10.
Chapters 9: Tests of hypothesis. Rejection and acceptance regions. Test statistics. Large-sample tests of hy-
pothesis for the mean and for the binomial proportion.
Weeks 10 & 11.
Chapters 9 & 10: More on tests of hypothesis: large- and small-sample tests. p-values. Type-I & Type-II errors.
Weeks 11 & 12.
Chapter 10: Small-sample inference for difference between two means . Inference for a population variance.
Week 12.
Chapters 3: Bivariate data.

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Academic Accommodation.
You may need special arrangements to meet your academic obligations during the term. For an accommodation
request the processes are as follows:
Pregnancy obligation: write to me with any requests for academic accommodation during the first two weeks
of class, or as soon as possible after the need for accommodation is known to exist. For more details visit the
Equity Services website: http://carleton.ca/equity/accommodation/
Students with disabilities requiring academic accommodations in this course must register with the Paul Menton
Centre for Students with Disabilities (PMC) for a formal evaluation of disability-related needs. Documented dis-
abilities could include but are not limited to mobility/physical impairments, specific Learning Disabilities (LD),
psychiatric/psychological disabilities, sensory disabilities, Attention Deficit Hyperactivity Disorder (ADHD),
and chronic medical conditions. Registered PMC students are required to contact the PMC, 613-520-6608,
every term to ensure that I receive your Letter of Accommodation, no later than two weeks before the first
assignment is due or the first in-class test/midterm requiring accommodations. If you only require accommo-
dations for your formally scheduled exam(s) in this course, please submit your request for accommodations to
PMC by the last official day to withdraw from classes in each term. For more details visit the PMC website:
http://www.carleton.ca/pmc/
Religious obligation: write to me with any requests for academic accommodation during the first two weeks
of class, or as soon as possible after the need for accommodation is known to exist. For more details visit the
Equity Services website: http://carleton.ca/equity/accommodation/

				
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