Basics of Descriptive and Inferential Statistics STAT 1380-005 (CRN 13166)
August 25, 2008 ¡BIENVENIDOS (WELCOME)! fall 2008 term
Credit Hours: 3-0 Course Fee: N/A
Description from Undergraduate
Catalog: “A course in statistical literacy. Emphasis will be on standard descriptive
measures of location, spread, and association.
Regression, probability and sampling, and binomial
distribution. Interpretation of data which occur in daily life (polls, weather forecasting,
surveys, quality control, etc.) will be stressed.” Prerequisite: Math 1319, 1320, 1508 or equivalent or
TCCN Math 1314.
This course will expose you to typical intro topics but with particular emphasis on and grounding in conceptual understanding and statistical literacy in real life. You deserve, need and will be offered more than a plug-and-chug, memorize-the-recipes experience!
You’ll be able to critically evaluate statistics commonly found in the media and in your major field. You’ll become acquainted with what is involved in the collection, interpretation, and communication of real-world data to explore questions of interest – like statistics related to Presidential elections! You’ll gain background that will help you answer probability and statistics questions on the TExES/ExCET (http://www.texes.ets.org/prepMaterials/), teach students the probability/statistics TEKS (www.tea.state.tx.us/rules/tac/chapter111/index.html), and make appropriate connections to the NCTM Standards (http://standards.nctm.org/), PreK-8 Curriculum Focal Points (www.nctm.org/standards/content.aspx?id=270), and the GAISE PreK-12 Curriculum Framework (http://www.amstat.org/Education/gaise/).
Meetings: MW
1:30-2:50pm LART 203 403, except Sept. 1
Instructor: Assoc. Prof. Dr. Larry Lesser (rhymes with “professor”, spelled like “<”)
I began teaching university courses (especially statistics!)
in 1988, and I’ve also worked as a state agency statistician and as a full-time
high school teacher! More info at my
homepage: www.math.utep.edu/Faculty/lesser/. (FYI: From there, click “SCHEDULE” and you can
access the syllabus if you ever lose this one and browse its links!)
How to reach me: my official Bell Hall 213 office hours will start off as MW 3-3:30, MW 4:30-4:55 and by appointment, with changes to be announced/posted;
also, feel free to ask me (or leave me) questions by phone (747-6845; “SIR-OUIJA”)
or email (Lesser (at) utep.edu; when you email, please include a meaningful subject line). It’s both my job and privilege to serve you and to provide guidance.
Textbook (required): Jessica Utts’ Seeing Through Statistics (3rd ed.; 2005) Duxbury Press. Subject to change based on timing, resources and interest, here’s the main material we plan to (un)cover: chapters 1-11 then 16. The instructor will provide some supplementary material via handouts that you will also be responsible for on topics such as simulation, sample space, counting rules, the binomial distribution, and the geometric distribution. You are expected to read each chapter and do the selected HW problems for that chapter (see below) before the class meeting we discuss that chapter (so that you are able to understand more and offer more) and to bring your book to each class. Here are exercises to do (which will often be assessed by quiz):
Ch. 1 (1, 3-5, 7,9,10,15,17,19); Ch. 2 (6,7,11,14,15), Ch. 3 (1-9,13,16,18-20,24,25a,26a), Ch. 4 (1,2,4-6,9,11,12,15,17,21,24,26), Ch. 5 (1-3,5,8-10,12,17,19,20,22,25a,27), Ch. 6, Ch. 7 (1-7, 9,12-16,19,21,25,28), Ch. 8 (2-5,7,8,11,13,17,19,21,22,25), Ch. 9 (1,2,5,7,8b,9,14), Ch. 10(1,2,4,5,7-10,11a,12,13), Ch.11 (1-6,8-10,12,14,17,19), Ch.16 (1-3,6-12,17,18,20d,25),
Technology: BRING CALCULATOR TO EACH CLASS because you’ll be allowed to use it on virtually all activities and assessments (but it really has to be a separate calculator, though, because you aren’t allowed to use devices such as a laptop or cell phone on tests). You’ll still have to write out enough of your work so I can follow your process. Example: when finding the mean of {1, 3, 5}, don’t just say “3”, but write out (1 + 3 + 5)/3 = 3. I will often demonstrate things with a TI-73/83/84 graphing calculator, but if you don’t already own one, you can certainly get by with a scientific calculator or even a simple calculator that can do basic arithmetic such as square roots. There are websites to help you get the most out of whatever your calculator is, such as: www.geocities.com/calculatorhelp/. As logistics and interest allow, I’ll facilitate explorations to expose you to how statistics are computed with web applets, graphing calculator, software (Excel or Minitab), etc.
Grades: after any rescaling needed for all components to be on the 0-100 scale, the grade is determined by the usual cutoffs of 90, 80, 70, 60, based on these parts:
7% Written Reflection(s) – details will be provided in advance
13% Quizzes (often unannounced on recent assigned reading or HW, so be prepared)
24% Test #1 tentatively set for Oct. 1; see comment for “Test #2”
24% Test #2 tentatively set for Nov. 17; at least a week or two in advance, I’ll confirm
the exact material covered and the date; on tests, you’ll be provided formulas that are in the textbook, but without annotation
32% Project – project writeup
(12-point Times New Roman double-spaced, APA style, checked
for spelling/grammar; aim for 5-10 pages, not counting bibliography or
appendices) will be due (and you must be prepared to give a short oral
presentation) during the time UTEP has scheduled for our “final exam”
meeting (Wed., Dec. 10,
4-6:45). If you have a pre-approved reason not to be able to present during this time, you will need to arrange with me as soon as possible to turn in and present your project earlier. Have any appropriate output/graphics electronically pasted into the document. Sections should be clearly marked, assembled in order, and stapled (not put into a folder or sleeve) with an identification coverpage on top (that includes your name, section, date, and a title that makes clear which option you chose and what your topic/theme was). Three different options for your project are listed at the end of this syllabus.
Academic Integrity: As teachers, I trust you especially appreciate that cheating, plagiarism and collusion in dishonest activities are serious acts which erode the university’s purpose and integrity. (This is also particularly crucial given the ethical challenges statistics presents to those who are tempted to “make the numbers say what they want them to say.”) It is expected that work you submit will represent your own effort (or your own group’s effort, if it is a group project), will not involve copying from or accessing unauthorized people or resources, and will provide complete bibliographic citations in APA style of any allowable references (including people, print sources and webpages) that you do consult. Don’t resubmit work done for other classes without specific acknowledgment and permission from me. Violations of the UTEP policy (http://academics.utep.edu/Default.aspx?tabid=23785) may lead to disciplinary action from the Dean of Students Office.
For
Group Work: Within a group, members are allowed to divide
up subsets of the project for which individuals will take the initial responsibility
for coordinating efforts, but it is assumed that by the time a group turns in a
writeup that all members have read and understand all
parts of what is being turned in. Group
members may even discuss general ideas and strategies with members of other
groups, but NOT share parts of actual written work. At a minimum, to be safe, put away all
written notes and writing materials and recording devices before having any
intergroup conversations. And if you
still see a “gray area,” play it safe and ask the instructor!
Attendance: Attendance is required, and is very important considering that much of this course involves beyond-the-book group activities or discussions that are impossible to recreate on one’s own. The instructor may count tardiness or early departure as a half-absence or even a full absence, depending on what is missed. With quizzes, I generally will count only the top n-1 or n-2 out of the n we have, so if you miss one of the days where we have a quiz, you won’t get a 0 quiz score, it will simply be not counted. In general (out of fairness and logistics), late work will not be accepted, and may be subject to a penalty in the rare cases that it is accepted. A makeup exam is possible ONLY if it is taken at the earliest opportunity and ONLY if missing the scheduled class exam date was unavoidable for a very serious reason and verifiable third-party written documentation (e.g., something like a doctor’s note) was relayed to me by fax or by email within 24 hours or the earliest (medically) possible opportunity (whichever is sooner); otherwise the exam score will be a 0.
It’s your responsibility to….
(1) Sign the attendance sheet each day you attend
(2) Let me know by email (Lesser@utep.edu) or voicemail (747-6845) or daytime math dept. fax (747-6502) at the earliest opportunity if you have a situation which may affect a test, major assessment deadline, or multiple regular class meetings.
(3) Give me a written note or email by the 15th day of the semester (Mon, Sept. 15) if you will have absence for religious holy days (which are excused, of course).
(4) Give me a written note or email at the earliest opportunity if you are or may be called to military service and/or training during the course of the semester.
(5) Have a classmate give you copies of notes, handouts and announcements if you miss a class; write down at least 2 classmates’ contact information right here for this purpose:
classmate
#1 name_____________________ phone_____________ email____________
classmate
#2 name_____________________ phone_____________ email____________
As the UTEP Catalog says, “When in the judgment of the instructor, a student has been absent to such a degree as to impair his or her status relative to credit for the course, the instructor may drop the student from the class with a grade of “W” before the course drop deadline [October 31] and with a grade of “F” after the course drop deadline.” (In practical terms, this will certainly mean a student may be dropped for more than 4 absences (unless there has been a reason I have approved), considering our class has no more than 29 regular meetings!) On a positive note, a strong record of attendance will be taken into account if your final average is a few tenths of a point below a letter grade cutoff.
Professionalism and Civility: Along with basic standards of civility and citizenship (e.g., “Student Conduct” and “Disruptive Acts Policy” in the UTEP Catalog), students in this course are required to exhibit professionalism and to support a constructive, collegial, collaborative classroom culture where critique is focused respectfully on the intellectual merit of a position, not on the person expressing it. You are also expected to use great discretion with cell phones and pagers during class time—if you are truly expecting an urgent call, please let me know and sit near the door to minimize disruption (and have your phone on “vibrate” instead of loud music, and have it handy so you don’t have to dig through a backpack for it). Or you could give your family member or child care provider the phone number for an academic office or lab (e.g., LACIT 405: 747-5375) near our classroom. That way, you can keep your phone off during class, knowing that staff can quickly get you for a true emergency.
Finally, be open to opportunities for further sharing and professional growth. For example, consider attending or helping with the COE ABC conference September 27 (http://eduprojects.utep.edu/tne/index.php?option=com_philaform&Itemid=29&form_id=3), the annual GEPCTM fall conference (Oct. 18 at EPCC Transmountain; www.math.utep.edu/Faculty/lesser/gepctm.html), the UTEP COE annual fall research symposium (in Nov.), the COE’s BEEMS conference (in March), the COE Summer Research Conference (in July). Also, encourage K-12 students to enter the ASA Poster Competitions (by April 1): www.amstat.org/education/index.cfm?fuseaction=k12. And consider joining (at affordable student rates!) math ed professional organizations at the local (GEPCTM), state (TCTM), or national levels (NCTM or ASA).
Disabilities:
If you have or believe you have a disability that will require accommodations or modifications, you may wish
to self-identify by contacting the Disabled Student Services Office (DSSO; 747-5148; East Union Building room 106; dss@utep.edu; www.utep.edu/dsso/)
to show documentation or register for testing and services. DSSO
will ask you to discuss needed accommodations with me within the first 2 weeks
of the semester or as soon as disability is known, and
at least 5 working days before an exam.
You are responsible for making sure I receive any DSS accommodation
letters and instructions. DSSO
provides note taking, sign language, interpreter, reader and/or scribe
services, priority registration, adaptive technology, diagnostic testing for
learning disabilities, assistance with learning strategies/tutoring,
alternative testing location and format, and advocacy. Information provided to DSSO is kept confidential.
English Language Learners: I want to be responsive to the learning needs of all of my students, including those whose native or strongest language is not English. To this end, I use recommendations from the literature, including multiple representations, connections to etymology and everyday language, advance organizers, real-world and cultural connections, and group work. Please let me know if you think of additional ways I might support your learning and feel free to ask for a pause so that I (or a classmate) can clarify question wording or rephrase or illustrate important ideas in class discussion that go by quickly. (Think of class as a basketball game where each class has an allotment of 1-minute or 20-second “timeouts” for this purpose.)
And even if you are not an ELL, you will almost surely be teaching some students who are, so you should take note of these strategies to adapt into your own teaching, and read papers such as www.tsusmell.org/images/MatthewWinsor.pdf and www.tsusmell.org/images/MELL_SpanishResforTeachers2007.pdf. Other resources include foreign language statistics glossaries (e.g., isi.cbs.nl/glossary/index.htm or www.tsusmell.org/images/MELL_MathTerms.pdf), Texas’ English language proficiency standards (www.tea.state.tx.us/curriculum/biling/elps.html), and Project LEAP-UP Coordinator Antonio Del Campo (EDB 406; 747-6363; aadel@utep.edu). This course aims to integrate English Language Proficiency Standards for English Language Learners in order to provide strategies for language acquisition and academic success in all content areas for students at different levels (beginning, intermediate, advanced, and advanced high) in the domains of listening, speaking, reading and writing.
Note which statistics terms (e.g., nominal) are “cognates” in Spanish and what words may be more challenging because they have different meanings between English and Spanish and/or between statistics/mathematics and the everyday world. Also, keep in mind ways to support learning the content involving diverse communication modalities: listening, reading, writing, and speaking. (I offer some communication tips at http://www.math.utep.edu/Faculty/lesser/Writing.html and http://www.math.utep.edu/Faculty/lesser/speaking.html.) And finally, consider that the grade level readability of any subject’s curriculum you use is from a statistical model based on average number of syllables per word and average number of words per sentence. (See “Display readability statistics” in MS Word Help)
Note: I gratefully acknowledge that development of
this class is supported in part by the U.S. Department of Education-funded
grant (PI: J. Tinajero) Project LEAP-UP: Learning, Encouraging, and
Planning to Uplift Performance: http://www.academics.utep.edu/leapup.
Equity and Service Learning Resources that can connect to this course:
Note: I gratefully acknowledge that development of
this class was supported in part by Project ACE (PI: J.
Tinajero), funded by the Women’s Education Equity Act of the U.S. Department of
Education, and many statistics examples we will discuss involve or are
applicable to gender equity. A great
gender equity resource person is Project ACE coordinator Estella Vallès (EDB 206, 747-6368, elvalles@utep.edu) and she always
appreciates volunteers for Project ACE events (e.g., mother-daughter/father-son
program).
UTEP’s Project ACE (ACtion for Equity): eduprojects.utep.edu/projectace/
UTEP’s Center for Civic Engagement academics.utep.edu/cce
UTEP’s Women’s
Other related resources: http://www.math.utep.edu/Faculty/lesser/equity.html
Also, note that the world’s largest
math teacher organization declared this school
year to have a major focus on equity (http://www.nctm.org/profdev/content.aspx?id=15589)
and has resources (e.g., http://www.nctm.org/profdev/content.aspx?id=15591)
specific to elementary school.
Statistics Resources: (Please let me know of others you find that I may not know about)
Website for our textbook: www.duxbury.com/cgi-wadsworth/course_products_wp.pl?fid=M20b&product_isbn_issn=0534394027&discipline_number=17
Applets/virtual manipulatives:
http://www.shodor.org/interactivate/activities/tools.html
(click “probability” or “statistics”)
http://illuminations.nctm.org/swr/list.asp?Ref=2&Std=4
http://illuminations.nctm.org/WebResourceList.aspx?Ref=2&Std=4&Grd=0
and some examples
at http://standards.nctm.org/document/eexamples/index.htm
http://nlvm.usu.edu/en/nav/topic_t_5.html
FAPP applets for simple
random sample, normal
curve, correlation
and regression, probability
Calculation pages: http://statpages.org/
Classroom connections:
http://www.amstat.org/education/stn/ (e.g., check
out issue #64)
http://www.rsscse.org.uk/ts/TBO.html
http://www.blackwellpublishing.com/journal.asp?ref=0141-982X
http://www.math.utep.edu/Faculty/lesser/STATResources.html
Also, I’ve put some
statistics books with other conceptual intuition or real-world connections on
reserve at the UTEP Library circulation desk under “Lesser” or “Stat
1380.” And on the second floor of the
Library, free walk-in tutoring is available for this course (Tutoring
and
------------------Project Options (choose ONE of these three)--------------------
(1) High-quality original
TEKS-based teacher-ready lesson plan utilizing data (some of which must
be quantitative) to explore a question of interest (contexts involving social
justice or equity are especially encouraged for exploration). The lesson must include some statistics
concepts that are in our textbook – it can’t simply be arithmetic. You will do this as a team of 2 or 3 and
there must be a single writeup submitted for the
entire team. Even though time constraints mean you will share only an excerpt
with the class on presentation day, the writeup you
give me must include the following IN THIS ORDER:
Title
of the Lesson (should be a meaningful title that makes clear the main point)
Number
and length of Class Periods for this Lesson/Unit
Grade
Level or Course that is targeted
Objectives (What students should be able to do or demonstrate by the time the
lesson is done)
What
levels of Bloom’s
taxonomy are in this lesson and where in the lesson they occur
Specific
content misconceptions that your students might have and how you will address
those
How
and where this connects to TEKS
(citing section # and verbal summary of relevant part(s)
How
and where this connects to the NCTM Standards
How
and where this connects to the NCTM Curriculum
Focal Points
How
and where this connects to the K-12 GAISE Guidelines (see Framework Table 1;
describe
which
Process Components are involved in your lesson and describe any parts of your
lesson that may be aimed to go beyond Level A)
How
your lesson will include accommodations for learners at each level (beginning,
intermediate,
advanced, advanced high) with respect to listening, speaking, reading and
writing, as described in Texas’ English
Language Proficiency Standards
Other accommodations or adaptations for students with
diverse learning styles or learning
disabilities
If
possible, state how this connects to the curriculum or scope & sequence
used by a school district
in
Prerequisite
experiences/knowledge/reading
Materials (manipulatives/technology/A-V, etc.) needed
Outline of instructional activities (if this is a multi-day unit, break it down
day-by-day)
Opening activity/vignette
How groups will be formed and structured (if group work will be used)
Classwork
or Homework assignment
Closing activity
Extra activity/extension, if time remains
Assessment
(How you will know if objectives were accomplished; include the actual
assessment
item you
would use and a rubric for grading/scoring)
References (while the lesson must be mostly your own ideas, if part of
it does include your
adaptation
of a particular published source or idea from a colleague, you must cite it
fully in APA style)
(2) Data collection and
analysis involving at least 2 categorical and at least 2 measurement
variables on a topic of interest. The
“data collection proposal” sheet (see www.math.utep.edu/Faculty/lesser/1380proposal.html)
must be fully approved by me BEFORE you collect any data or you get no
credit. This rule is to make sure that no one attempts to do something with
an inappropriate topic/design or unrealistic scope, as well as models the
process that researchers have to go through before they can begin a study. The sooner you submit your proposal form, the
sooner I’ll give you ungraded feedback (usually at or by the very next class),
and the more time you’ll have to do your project (or make adjustments to your
proposal and resubmit it, if required).
I recommend you start thinking about it now and aim to get me your proposal form as early as
possible in OCTOBER. There should be
appropriate use of technology and contexts involving social justice or equity
are especially encouraged for exploration.
You will do this as a team of 2 or 3 and there must be a single writeup submitted for the entire team. Feel free to bounce more sophisticated ideas
off of me, but the most common project here will be a survey of adults (attempt
to get as many as 100, so that even if some refuse to participate, you’ll still
have a decent number). You must stay
within these 4 rules:
a)
Data
must be collected openly and recorded in such a way that respondents cannot be
identified or linked to their answers if someone were to read your report or
stumble upon your files.
b)
All
individuals must be informed. For
example, if you do a written questionnaire or telephone survey, you should
start with something like, “Good afternoon -- my name is _______ and I’m a
student in Dr. Lesser’s Stat 1380 class at UTEP. Are you willing to participate in a 1-minute
survey as part of my class project? The
survey will not be published, your participation and responses will be confidential,
and your name or other identifying information will not be recorded. Your participation is completely voluntary
and you are free to withdraw at any time.
Do you have any questions? Are
you willing to participate?”
c)
In
selecting people for your survey, you must avoid settings where you work and
avoid choosing: co-workers, relatives,
animals, significant others, co- close friends, significant others of close
friends, minors (people under the age of 18), prisoners, and representatives of
any other “vulnerable” population (e.g., individuals who cannot read/understand
informed consent).
d)
Your
topic must avoid issues which could reasonably be expected to be highly
personal, controversial or sensitive, such as sexual behavior, drug usage, or
underage drinking. But while you CANNOT
ask about someone’s sensitive personal behavior (e.g., “How much beer do you
drink?”), you might be able to ask about the topic from a society or current
events perspective (e.g., “Do you think the drinking age in Juárez
should be raised, lowered, or kept the same?”).
The first page after the coverpage should be titled “Background” and should describe the general question of interest
and explain why it is significant or important to you. There should be a statement of what
population you chose (and why) and describe what random sampling procedure was
used (or why one was not or could not be used and what specific things you did
to help make the sample as representative as possible of the population of
interest). The next page or two of the report should be titled “Results” and should include the results
of your survey, with appropriate numerical and graphical summaries included.
(Graphs must be appropriately drawn, sized, with axes labeled.) The next page
or two of the report is titled “Discussion”,
in which you make any interpretations or conclusions you can from your data,
discuss any limitations of your data or method, discuss any difficulties or
judgment calls you encountered and how you handled them, discuss what you might
do differently next time. The next page
should be titled “References” where
you acknowledge whatever help you may have obtained from any people or print
references to do this project. (If you had none, then omit the References
page.) The final page is called “Appendix”
which should include a numerical summary or table of the data you collected. It should be in enough detail that I could
recreate a graph from it if I wanted to, but it should not have any names of people that were surveyed.
(3) Reflection Paper that
discusses your experience putting statistics knowledge into practice in the
context of a designated appropriate service learning experience (i.e., Junior Achievement) as arranged by UTEP’s Center for Civic Engagement (to pursue this latter
option, you should go ahead and directly contact CCE (Benedict Hall 103; cce@utep.edu; 747-7969). Students completing this option will receive
a certificate from CCE that can enhance your teaching portfolio or job
application! Even if other classmates do
the same service learning project, each individual must turn in her/his own
paper, because each person’s experience and perceptions will be unique. Your grade will be based upon both the quality
of the paper and the degree of completion of the service learning itself, using
the formula R*(P+1)/2, where R is your grade (out of 100) on your reflection
paper and P is the proportion of the service learning requirement that CCE
reports to me that you completed (note:
P greater than 1 will be treated as 1 and P equal to 0 will be treated
as -1). The paper will be graded not
for spelling and grammar (unless those qualities are so poor that it’s hard for
me to tell what you’re trying to say), but for the quality of insight and depth
of connection and reflection you have.
Below I will give you a list of questions that will help guide you as
you write your paper. In fact, I recommend
that right after each training, meeting or working day of your service
learning experience you should write down (e.g., in a journal) your reactions
to these questions while they are fresh.
What
did you experience today?
What
did you enjoy most about that experience and why?
What
did you enjoy least about that experience and why?
Did
the experience today teach you something new about yourself (e.g., as an
underrepresented
person,
as a learner, as a future teacher, as a citizen, etc.)? If so, what?
Did
the experience today teach you something about how data or statistical thinking
can relate to
(or improve) the world or to
the lives of people in this region? If so, what?
Did
the experience today teach you something about the way you may talk or teach
about data or
statistical
topics from our course when you are a classroom teacher? If so, what?
What
would you do or expect differently the next time you do this? Why?
Then, when it’s time to write
the entire paper, you will already have plenty of material to quote and
synthesize as you describe the progression of your experience and understanding
all the way up to your most recent thoughts.
The final paper should not only share and discuss the major insights you
had by the end of the entire experience, but also give us a feel for the
progression or trajectory you took to get there, but in a thematic way not as
day-by-day list.
If the lessons you teach in Junior Achievement don’t
already have probability or statistics naturally in them, you will need to take
some creative initiative to look for how you can bring it into a lesson (e.g.,
collecting data about some aspect of the lesson’s featured topic or about some
aspect of assessment of the students’ activity or a class discussion of a study
from a newspaper).
At the time this syllabus was written, the two times
available for required training to do this option are: Mon., Sept. 15,
12:30-1:45, Library 410 OR Fri., Sept. 19, 1:30-2:45, Benedict 205. For
more information, contact CCE (Benedict Hall 103; cce@utep.edu; 747-7969).
PROJECT ACE asks that everyone take the fall 2008
Pre-Test online. There are 2 ways to do it:
(1) go
to the Project ACE website,
and choose "surveys" from the left-hand menu. Also select the link to the IRB (consent)
form at that page and print that and bring it to the instructor.
(2) access
the survey and IRB form by going to https://mspace.utep.edu/bhgiza/web/projectace.htm. Print out the IRB form and “thank you” page
and bring it to the instructor. You can
fill in my name (Dr. Lesser) on the IRB form where it says Professor. You sign your name where it says “research
informant”.