STATISTICS
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Instructor:
Office Phone:Office Address: Office Hours: Email: Home Page: Course Web Page:
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Dr. Jim
Larson 225 Coffey Hall 773-508-3192 Mondays 11:00-12:30, Wednesdays 1:30-3:00, and by Appointment jlarson4@luc.edu http://homepages.luc.edu/~jlarson4/ All course materials will be available via Sakai |
This is an introductory course in statistical data analysis and interpretation that is designed primarily for students majoring in psychology. Its goal is to help you develop the conceptual background and practical skills needed to (a) critically evaluate the statistics you will encounter elsewhere in your coursework (and in your professional life after graduation!) and (b) begin conducting statistical analyses of empirical data on your own (e.g., in your research methods and lab courses, in independent study projects, etc.).
My aim in teaching this course is to help students develop an intuitive understanding of the statistical methods we will learn. This means going beyond rote memorization of abstract formulae. It implies developing an appreciation for what the terms in those formulae stand for, and what the results of those formulae tell us about the psychological phenomenon being investigated. Statistics is an applied branch of mathematics. As such, the statistics we will learn in this course are best thought of as a means to an end, not an end in themselves. For psychologists, statistics are important tools that help us better understand human behavior and experience. In a very real sense, statistics are to psychology what microscopes are to biology. Thus, as we learn about various statistical techniques and procedures, it is important always to keep one eye focused on the research question we are seeking to answer via a statistical analysis of empirical data. By doing so, I believe that students can acquire a richer, more complete appreciation for the meaning of the statistical principles we will be studying together.
By the
end of this course, you should be able to (a) interpret the
meaning of basic statistical analyses described in published
research reports and elsewhere, (b) independently
analyze data using the various techniques we will study, and (c)
understand the conceptual foundation, appropriate use, and
limitations of the statistical methods covered in the course.
Thus, the four specific learning objectives for this course
are as follows:
(a) |
To gain factual knowledge (e.g., regarding terminology, methods, and trends) about statistical data analysis and interpretation (E). |
(b) |
To
learn the fundamental principles, generalizations, and
theories underlying the statistical analysis and
interpretation of data (E). |
(c) |
To learn to apply the course material to improve your problem solving and decision making skills by using empirical data (I). |
(d) |
To
develop specific skills, competencies, and points of
view need for the proper statistical analysis and
interpretation of data (E). |
The one piece of equipment that is essential for this course is an appropriate hand calculator. An "appropriate" calculator is one that can compute (a) sums and (b) sums of squares simultaneously. That is, you should be able to enter a series of numbers (e.g., 1, 2, 3, 4 and 5), and then press either one or two other buttons to obtain both the sum of those numbers (15) and the sum of the squares of those numbers (55). This is very important! These are operations that you will need to perform many times on nearly every homework assignment as well as on the exams, and it is critical that you be able to perform them quickly and accurately on your calculator. Every calculator can compute sums. But not all of them can compute sums of squares in the manner just described. If you already own a calculator and do not know whether it can perform the sum-of-squares function, consult your owner's manual (it many not be obvious from looking at the calculator itself - check online for a manual if you've lost track of yours). If your calculator has a button labeled "∑" (the capital Greek letter sigma) or "STAT", or was sold specifically as a "statistical" calculator, it probably can perform this operation. But you need to be sure. If you do not own a calculator, or you own one that cannot perform this function, I recommend that you buy an inexpensive Texas Instruments scientific calculator, such as the TI-30Xa. This simple calculator can be found in may stores, and is usually stocked by Loyola's bookstore. It costs about $15. In the first week of the semester I will demonstrate how to compute sums and sums of squares on the TI-30Xa. If you want a slightly fancier calculator, you might consider the TI-30X IIS. It costs only a few dollars more (about $20). But that calculator is really more than you absolutely need. I recommend that you stay away from the TI-36X. It is poorly designed, with keys that are very easily confused. I also recommend that you do not buy a TI-83 or TI-84 graphing calculator. These are very sophisticated calculators that are popular in many math courses, but they are MUCH more complicated than the other two calculators. They are absolutely not worth the money ($115-$130) just for this course. If you already own one of these graphing calculators, but are not proficient in using it, I again recommend that you consider buying the less-complicated TI-30Xa or TI-30X IIS. You will likely find these much easier to operate. Although it may seem counter-intuitive, using an unnecessarily sophisticated calculator can often be a nagging source of frustration and error. Eliminating that frustration is well worth the small expense of a new calculator.
Woody
Allen, the great 20th-century American philosopher/film-maker,
is reported to have said that "eighty percent of success is
showing up" (Peters & Waterman, 1982). Nowhere is this
more true than in this course. Class attendance is
essential, and can significantly affect your course grade.
My experience in teaching this course for many years is that
students who attend class every day end up with much better
grades than those who skip even a few classes. More than
any other course in Psychology, this one follows a
"building-block" model -- concepts presented early in the
semester are critical building blocks needed to understand
concepts encountered later on, and all later lectures build on
those that precede them. Students with poor attendance
records often miss key concepts discussed in their absence.
Later those same students become completely lost when the
material requires that they apply the missed concepts in new
ways. If you
make a commitment to attend every class, you will be rewarded
both with a better grade and with a better understanding of
statistical data analysis and interpretation!
The
weekly
reading assignments are listed in the table below. They
all come from the textbook by Witte & Witte (2014).
A complete reference for the textbook appears
at the end of this paragraph. It is
available in Loyola's bookstore, on Amazon, and elsewhere.
There is also an eBook version available directly from the
publisher for less than 1/3 the hard copy price. BUT
BEFORE YOU JUMP FOR THE CHEAPER eBOOK VERSION, PLEASE NOTE THE
FOLLOWING: The book contains a number of important tables
that we will use frequently in class, beginning in Week 4.
It is therefore important that you be able to bring your book
with you to class. So, consider buying the eBook version
only if you (a) have a portable eReader, and (b) can use
it to highlight text and add notes. I do not
recommend either buying or renting a used book. There are three reasons for this. The
first has to do with
highlighting. Used statistics books too often have been heavily highlighted by their previous
owners. This makes it hard for you to do your own
highlighting (which you definitely should do
yourself--deciding what to highlight and what not to highlight
is an important part of the learning process). Even
worse, if the book is rented, you are prohibited from
highlighting, again robbing you of an important learning
exercise. The second reason is that rented books must be returned at the end of the
semester. However, this is one book that you will want
to hang onto for use in at least two
other courses you are likely to take (this is explained more
fully below). Finally, (and this is a pet peeve of mine,
so you can ignore it if you want)
neither the authors nor the publisher receive
any money--so get no reward for their efforts--from the sale
or rental of used books. Their rewards come only from
the sale of new books (whether hard copy or electronic).
The sale and rental of used books forces authors and
publishers to charge more for new books in order to stay in
business, and to come out with more frequent revisions and new
editions of those books, which otherwise might be
unnecessary. New books have gotten very expensive
primarily because of the existence of the used book
trade! 'nuf said.
Witte, R. S., & Witte, J. S. (2014). Statistics (10th ed.). Hoboken, NJ: John Wiley & Sons. [ISBN 978-1-118-45053-6]An electronic Student Study Guide is available on the the Student Companion Website [click here]. The Study Guide is not required, but some students may find it a helpful resource. The Student Companion Website also contains a number of useful demonstrations that are worth exploring. But again, these are not required for the course.
Week # | Date | Reading Assignment | Homework Assignment Due |
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1 |
T 8/25
Th 8/27 |
Ch 1: Introduction (21 pages) Ch 2: Describing Data with Tables and Graphs (30 pages) << Homework 1, Test of Basic Math Skills: Thursday, 8/27 >> |
- #1: Test of Basic Math Skills |
|
2 | T 9/1 Th 9/3 |
...continued... Ch 3: Describing Data with Averages (15 pages) |
- #2: Summation and Frequency Distributions |
|
3 | T 9/8 Th 9/10 |
Ch 4: Describing Variability (25
pages) ....continued.... |
- #3: Central Tendency |
|
4 | T 9/15 Th 9/17 |
.Ch
5: Normal Distributions and Standard (z) Scores (28 pages) ...continued.... |
- #4: Variability |
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5 |
T 9/22 Th 9/24 |
Ch 6: Describing Relationships: Correlation (22
pages)
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#5: z-Scores (Due Tuesday This Week!) - |
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6 |
T 9/29
Th 10/1 |
Ch
7: Regression (23 pages) ....continued.... |
- #6: Correlation |
|
7 |
T 10/6 Th 10/8 |
Fall Break - No Class Ch 8: Populations, Samples, and Probability (22 pages) |
- #7: Regression |
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8 | T 10/13 Th 10/15 |
....continued.... Ch 9: Sampling Distribution of the Mean (15 pages) Also, pp. 268-274 (in Ch. 12) |
- #8: Probability |
|
9 |
T 10/20 Th 10/22 |
....continued.... Ch 10: Introduction to Hypothesis Testing: The z-Test (15 pages) |
- #9: The Distribution of Sample Means |
|
10 |
T 10/27 |
Ch
11: More about Hypothesis Testing (29 pages) |
- #10: The One-Sample z-Test |
|
Th 10/29 |
Ch 13: t-Test for One Sample (13 pages) | |||
11 |
T 11/3 Th 11/5 |
Ch 14: t-Test for Two Independent Samples (31 pages) |
- - |
|
12 |
T 11/10 Th 11/12 |
....continued.... Ch 15: t-Test for Two Related Samples (Repeated Measures) (21 pages) |
#11: One-Sample t-Test (Due Tuesday this week!) - |
|
13 |
T 11/17
Th 11/19 |
Ch 16:
Analysis of Variance (One Factor) (33 pages) ....continued.... |
#12: Independent- and
Related-Samples t-Tests (Due Tuesday this week!) - |
|
14 | T 11/24 Th 11/26 |
....continued.... Thanksgiving - No Class |
#13: Independent
Samples t-Test vs. ANOVA (Due Tuesday this week!) - |
|
15 | T 12/1 Th 12/3 |
Ch 17:
Analysis of Variance (Repeated Measures) (20 pages) ....continued.... |
#14: One-Way Analysis
of Variance (Due Tuesday this week!) - |
|
Finals Week | T 12/8 F 12/11 |
-
|
#15: Repeated
Measures ANOVA (Due Tuesday this week!) - |
(1)
Show all of your work! You will get
full credit for answers only if you show all of
the computations that produced them.
If it turns out that your final answer to a
problem is incorrect, it may still be possible to get
partial credit if some portions of it are done
correctly. However, it is
possible to get partial credit only if you
have shown all of your work, so that all of the
intermediate steps can be easily traced.
(2)
Neatness counts! If you show
all of your work, but it is illegible, or it is
presented in a disorganized fashion that cannot be
followed easily, then again it is difficult to assign
partial credit. In the spirit of neatness, please
adhere to the following rules:
(3)
Because homework solutions will be
posted automatically right after the homework is due, I cannot accept
late homework. If you are unable
to turn in a homework by the due date, you will receive
a 0 for that homework. If you have trouble with a
homework problem, please please please come see me
during my office hours so that I can help you get the
assignment completed and turned in on time. That's
what my office hours are for!
(4)
Seeking Help
Homework Assignment 1: Refreshing Your Basic Math Skills
To
do well in this course it is important that you understand basic
high school algebra, and that you be able to perform simple
algebraic operations quickly and accurately. You probably
mastered these skills at some point in the past, although you
may be a little rusty now. To help you get back in the
groove, Homework Assignment 1 is simply to review
Appendix A (pp. 489-496) in Witte & Witte (2014), the
textbook for the course, and then take a brief test on
this material at the beginning of class on Thursday of Week
1. The test will consist of 40 simple problems
like those found in Appendix
A. You will be given only 20 minutes for
this test, so you must be able to do these problems quickly and
accurately. A calculator may be used for this test, but
most of the problems will be simple enough that you should be
able to do them in your head. An example is (2+3)2
= ? Be sure to complete your review before Thursday of
Week 1. I recommend that you begin by taking the "Pretest"
at the beginning of Appendix A (p. 490).
Give yourself no more than 20 minutes to complete it. Then
check your answers--the
correct answers are found at the end of the Appendix. Any errors that you make
on this test will help you identify the sections of Appendix
A that you should study very carefully (but do at least
skim every section, just in case, even if you made no errors
related to that section in the Pretest). Then when you are
finished studying Appendix A, take the
"Post-test" (p. 495) to make sure that
you have learned what you need to know. You should
not be satisfied with anything less than 100% correct on
either the Pretest or the Post-test.
Three
exams
will be given, each one in two parts: a true/false portion
and a computational portion. The true/false
portion will assess your understand of important statistical
concepts. The computational portion will require you to
use formulae and other procedures to solve statistical
problems. The exam schedule is as follows:
Exam No. | Date | Weeks Covered | Chapters Covered |
1 | 9/24 |
Weeks 1-4 | Ch. 1-5 |
2 | 11/3 |
Weeks 5-10 | Ch. 6-11 |
3 | 12/11 |
Weeks 10-15 | Ch. 13-17 |
Your final grade in the course will be based on your performance on 13 homework assignments and three exams, as follows:
Homework Assignments
A total of 15 homework assignments will be given, each worth 100 homework points. However, your 2 lowest scores from Homeworks 2-15 will be dropped (your score on Homework 1 may not be dropped). Thus, you can earn a maximum of 13 x 100 = 1300 homework points, and these will count for 40 percent of your overall course grade.
Exams
Three exams will be given. In combination, these will count for 60 percent of your course grade. Exam 1will be the shortest of the three, and will count for 16 percent of your grade. Exam 2 will count for 20 percent. Exam 3 is the longest one, and will count for 24 percent of your course grade.
Grade Computation
The
three
exams will each be scored on a percent-correct basis, and so
will each be worth a maximum of 100 exam percentage points (see
table below). The percentage of points that you earn (out
of 1300) on your best 13 homeworks
will also be computed. These four percentages will be
multiplied by the grade weights shown in the table below, and
then added together to create your Final Grade Percentage
Score (FGPS), as follows: FGPS = (HW
x .40) + (E1 x .16) + (E2 x .20) + (E3 x .24).
Graded Component | Maximum Percentage Points |
Grade Weight |
Best 13
Homeworks (HW) |
100 | .40 |
Exam 1
(E1) |
100 | .16 |
Exam 2
(E2) |
100 | .20 |
Exam 3
(E3) |
100 | .24 |
Final Grade Percentage Score |
Letter Grade |
93 and Above | A |
90 - 92 | A- |
87 - 89 |
B+ |
83 - 86 |
B |
80 - 82 |
B- |
77 - 79 |
C+ |
73 - 76 |
C |
70 - 72 |
C- |
60 - 69 |
D |
Below 60 | F |
Students With Disabilities
Students with disabilities who require accommodation for access and participation in this course should contact me as soon as possible after the start of the semester. All such students must be registered with the Services for Students with Disabilities (SSWD) office. Go to http://www.luc.edu/sswd/register.shtml. The SSWD is located in Sullivan Center 117; Phone 773-508-3700 (voice), or 773-508-3810 (fax).