|
 |
BADM/POLS/PSY/SOC 309A Statistics
Three credit hours
Fall Semester, 2004 at Houghton College
Paul Young, Department of Psychology
10-10:50 a.m. Monday, Wednesday, and Friday
Office: Academic Building B - 324 Phone: 567-9308
On Campus extension: 3080 e-mail: paul.young@houghton.edu
Office hours: 2:15 - 3:05 p.m. MWF; 10 - 10:50
a.m. TR; or by appointment
For a printer-friendly copy of the syllabus,
click
here.
Catalog
description:
Study
of descriptive and inferential statistics, including analysis of variance
and measures of correlation. Focus on applications to social and psychological
data.
Meets
requirements in Business Administration, Political Science, Psychology,
and Sociology majors.
General
objectives:
- To understand and employ
a logical approach to statistical analysis
- To apply appropriate
statistical analysis to the solution of research and human problems
Learning
outcomes:
By
the end of this course, you ought to be able to
- Convert
a logical problem to numerical form
- Describe
numerical data with statistics
- Represent
data with graphs
- Compare
variables with correlation
- Predict
changes with regression
- Test
differences between groups
- Use
spreadsheet statistical functions for data analysis
- Use
SPSS for research applications
General
Course Arrangement:
1.
Thinking statistically in history. Statistics as a tool for logic.
2.
Descriptive statistics: Scales of measurement, averages or measures
of central tendency, measures of dispersion.
3.
Correlation and regression.
4.
Probability and decision-making. Sampling and re-sampling.
5.
Inferential statistics, confidence intervals, and hypothesis testing.
6.
Frequency analysis: Non-parametric methods.
Required
Textbook:
Gravetter, F.J. & Wallnau, L.B. (2002). Essentials
of statistics for the behavioral sciences, 4e. Pacific
Grove, CA: Wadsworth.
Explanation
of Assignments:
- 1.
Homework assignments require either or both of hand computation and
computer analysis. There is a homework assignment for each major topic
in the course, a total of 16 assignments. The assignments correspond
to each of the 16 chapters in the textbook. Specific questions to be
answered for each assignment are listed in the assignment calendar.
(30%) Each homework assignment will be worth 2% of your grade, so 16
assignments can earn as much as 32 points, giving you a potential 2
point bonus.
- 2. You
will write three examinations on the content of the course. You will
be asked to demonstrate what you have learned both in writing and by
computation. On examinations, you may use a calculator, provided
all class members have one with them. However, you may use only
the arithmetic functions add, subtract, multiply, divide, and square
root.
- If you
want extra time for the first two exams, you may come to the classroom
during the previous class (my abnormal psychology class) in the same
room. You may continue to work on exams until 11:40 a.m.
- Examinations
are scheduled
- October
8 (15%)
- November
3 (15%)
- December
17, 8 - 10 a.m.. (15%).
- Material
to be covered on each examination appears under the Class Topic Schedule.
- 3.
A semester-long course project will culminate in a 5 - 7 page paper
(not counting cover sheets, references, or data analysis appendices)
in which you demonstrate your ability to select and apply appropriate
statistical analyses to a research or human problem of your choice.
The paper, in APA format, is due Wednesday, 1 December (20%). You may
choose from these options:
a major-related
research problem (A), a service-learning problem (B), or a grant proposal
to deal with a current social issue (C).
Option
A. i. Choose a research problem in your area of academic
interest by reviewing course notes, reading books and journals, or consulting
the popular media. For example, you might be interested in why twice
as many women as men have difficulty with the water
level problem, that is, the apparent difficulty which intelligent
people have figuring out the direction that the surface of water will
take when its container is tilted. Or you might be interested in the
news reports of the poor performance of U.S. students on mathematics
tests, compared to their peers in several other countries. Once you
have chosen a problem, find five journal articles that have considered
the problem in the past. Analyze and organize the findings or arguments
from the five sources in an introduction section.
ii. Then,
using what you will learn about research design in this course, set
up a study that would be appropriate to gather data to help you answer
the research problem. You may imitate the desings of your scholarly
sources.
iii. Next,
choose one of four strategies.
a. Conduct
the study you have designed, gathering new data. If you choose this
option, consult with me about meeting the ethical obligations of research.
b. Find
appropriate data in a published database. Several databases are linked
to the course website, and you will be able to find others electronically.
c. Make
up some data by generating the numbers randomly
d. Make
up data in such a way that the results will support your research hypothesis.
iv. Analyze
your data, choosing the appropriate descriptive and inferential statistics,
including graphs. Explain the meaning of your results in a discussion
section. Connect your results with the results of the studies you consulted.
Draw a conclusion or a set of conclusions.
v.
Identify your sources in a reference list. Include your statistical
computations, whether done by hand or computer, in an appendix.
Option
B. i.
Choose a service-learning problem. Service-learning combines academic
learning with volunteer service to enable you to apply and evaluate
what you are learning in a practical setting, while providing valued
service to a component of your community. The application will typically
both reinforce what you are learning, and suggest additional learning
you need to pursue.
ii. For
this assignment, you may use a voluntary service in which you are already
engaged or wish to pursue. If you volunteer with the nursing home or
Special Olympics or YFC or Habitat for Humanity or any other volunteer
activity, whether the agency is for profit or not for profit, incorporated
or not, there is a good chance that a quantitative analysis can be part
of your volunteer work--and get credit in this class at the same time!
. If you wonder whether a particular volunteer activity would work for
this assignment, ask me.
iii. As
you do your volunteer work, analyze the ways that the contents of this
course could be used. Respect the limits of confidentiality as you gather
data, either by observation (How many hours did each of us work today?
Which resident had visitors while I was there, and how long did each
visitor stay?) or from public records. Do not report private information.
Collect data on at least 5 variables.
iv. Research
five studies related to the work you are doing in scholarly journals,
and use them to write an organized, coherent introduction to your report.
Then explain what you are doing in your service activity, and try to
connect it to what you have read.
v. Analyze
your data, choosing the appropriate descriptive and inferential statistics,
including graphs. Explain the meaning of your results in a discussion
section. Connect your results with the results of the studies you consulted.
Draw a conclusion or a set of conclusions.
vi. Identify
your sources in a reference list. Include your statistical computations,
whether by hand or computer, in an appendix.
Option
C.
i. Choose a social issue for which to write a grant proposal.
Briefly, a grant proposal is an appeal to a foundation, institution,
government agency or individual for funds to set up or operate a program,
supported by arguments that the program will meet a need that is near
and dear to the hearts of the grantor. You can find out more about particular
grant proposals through your own research.
ii. Find
five studies or accounts of programs that address the social issue in
which you are interested, and use them to write an introduction to your
proposal.
iii. Do
further research to find appropriate data to support the proposal. (How
many people in Allegany County are addicted to alcohol? How many senior
citizens would use public transportation, if it were available, and
how often? How many Houghton students need aluminum foil helmets to
protect their brains from radio waves being emitted by the fillings
in other students' teeth, and how thick should the foil be?) Collect
data on at least five variables, considering both need variables
and cost variables.
iv. Analyze your data with appropriate descriptive and inferential
techniques, and use the results of your analysis to support your grant
proposal.
4. Computer
assignments (5%)
We will
be studying the meaning of statistical analysis with formulas and calculations,
in order to develop a deeper understanding of what we are doing. However,
most statistical analysis in research settings and in business is done
- often badly - by computer programs. Consequently, we will also learn
the statistical capabilities of two applications - Microsoft Excel
and SPSS.
Several
assignments will be given requiring you to learn and use Excel
and SPSS. I will be available to help you, and I may go over
some of the computer work in class, but you are responsible to learn
these applications outside class time.
5.
Attendance and participation are important to your
success. You must not fall behind in this class. For each absence after
the third, you will lose one-half of one point from your grade, up to
a maximum of five points. (5%)
Assignment
Calendar:
|
Date
|
Assignment
|
Value
|
|
Date
|
Assignment
|
Value
|
| 9/8 |
Homework Chapter 1 |
2% |
|
|
|
|
| 9/15 |
Homework Chapter 2 |
2% |
|
11/3 |
Second Examination |
15%
|
| 9/20 |
Homework Chapter 3 |
2% |
|
11/8 |
Homework Chapter 11 |
2% |
| 9/24 |
Homework Chapter 4 |
2% |
|
11/12 |
Homework Chapter 12 |
2%
|
| 10/1 |
Homework Chapter 5 |
2% |
|
11/19 |
Homework Chapter 13 |
2%
|
| 10/8 |
Homework Chapter 6 |
2%
|
|
11/29 |
Homework Chapter 14 |
2% |
| 10/8 |
Examination 1 |
15%
|
|
12/1 |
Research Paper Due |
20%
|
| 10/18 |
Homework Chapter 7 |
2% |
|
12/6 |
Homework Chapter 15 |
2% |
| 10/25 |
Homework Chapter 8 |
2% |
|
12/14 |
Homework Chapter 16 |
2% |
| 10/29 |
Homework Chapter 9 |
2% |
|
12/17 |
Final Examination: 8:00 a.m. |
15%
|
| 11/3 |
Homework Chapter 10 |
2% |
|
|
|
|
Class
Topic Schedule:
Includes
specific homework assignments
|
Chapter
|
Learning objectives
(Items in bold are not in the textbook)
|
Homework
|
|
1
|
Understand how statistics relates to scientific method and epistemology
Realize the usefulness of statistics in the search for truth and coping
with uncertainty
Define and identify these terms:
variable, independent variable,dependent variable, extraneous
variable, data, observational study, true experiment, descriptive
statistics, inferential statistics, correlation, parameter estimation,
population, sample, random sampling, sampling error, variables
and constants, real limits
Distinguish among scales of measurement: nominal, ordinal,
interval, and ratio
Differentiate discrete variables from continuous
variables
Understand and apply the rules of mathematical notation, summation,
real limits, significant figures, and rounding
Load and edit data in Microsoft Excel and SPSS
|
Due: 9/8:
Chapter 1, questions 2, 5, 7, 8, 10, 12, 14, 18, 23, 24
Copy SPSS from the Classroom applications folder under Helpdesk
Tools onto your computer.
Read the Overview chapter of the SPSS tutorial. Learn how
to enter and edit data in Microsoft Excel and SPSS
Guidesheet
to Excel changes and SPSS download
Answers to homework
|
|
2
|
Construct simple frequency distributions and grouped frequency
distributions
Add relative frequency, cumulative frequency, and relative
cumulative frequency (cumulative percentage) distributions
Understand percentile points and percentile ranks
Understand and conduct Pivot
Table analyses.
Select the appropriate use of these frequency graphs: bar
graph, histogram, frequency polygon, cumulative percentage
curve, stem-and-leaf diagram
Identify symmetrical and skewed distributions
Prepare graphs with honest impact, and detect graphic deception
|
Due 9/15:
Chapter 2, questions 1, 5, 7, 12, 16, 23
Answers to homework
Computer project 1: Use Excel to form a frequency
distribution of the Age data in the Phramous
dataset. Then, use Excel to draw an appropriate graph.
|
|
3
|
Compute the arithmetic mean and identify its properties
Define and compute the median and the mode
Explain how mean and median relate to skew and other aspects
of the distribution's shape
Learn how to report means, medians, and modes when writing
in APA format
|
Due 9/20:
Chapter 3, questions 5, 8,
14 - 20, 22, 23, 27
|
|
4
|
Understand and compute range, variance, standard deviation,
SS, MS, degrees of freedom, and quartiles
Understand why the computation of the standard deviation is
different for samples and populations.
Learn how to report standard deviations when writing in APA
format
|
The Sum of Squares
Song
Due: 9/24:
Chapter 4, questions 2, 4, 8, 9, 10, 14, 15, 17, 19, 22
|
|
5
|
Compute standard scores (Z - scores) and interpret them.
Use Z-scores to find percentiles and percentile ranks.
|
Due: 10/1:
Chapter 5, questions 2, 3, 5, 6, 10, 12, 20, 26
Computer project II: Descriptive statistics handout
|
|
6
|
Mathematically describe the normal curve
Find percentage, area and probability (PAP) of Z-scores
Use Z - scores to reverse from PAP to raw scores
Understand the use of theoretical distributions
Distinguish between a priori and a posteriori
probabilities. Compute each of them.
Apply the addition and multiplication rules of probability.
Use the binomial table to simplify the binomial expansion.
Use Pascal's triangle to simplify the binomial expansion.
Compute the mean and standard deviation of a binomial distribution.
Conduct and interpret the Sign test
|
Due: 10/8:
Chapter 6, questions 1, 2, 6, 7, 8, 9, 10, 13, 14, 17, 18
|
|
7
|
Understand the purpose of sampling, and use a table of random
digits and a computer to sample both with replacement and without
replacement.
Know the general characteristics of sampling distributions.
Use resampling to generate sampling distributions of the
mean.
Know the Central Limit Theorem
Apply the sampling distribution of the mean in the Normal
Deviate Test using Z - scores (the Z-test for a sample mean).
Apply the Confidence Interval/Critical Region approach to
statistical decisions
Learn how to report standard error when writing in APA format
|
Due: 10/18:
Chapter 7, questions 2, 4, 6, 7, 8, 9, 12, 14, 20, 22, 24
|
|
8
|
Define these terms: research hypothesis, alternative hypothesis,
null hypothesis, decision rule, alpha, Type I error, Type II
error, one-tailed probability, two-tailed probability, hypothesis
testing, unidirectional vs. bidirectional tests, statistical
significance, effect size
Learn how to report statistical test results when writing in
APA format
|
Due 10/25:
Chapter 8, questions 7, 8, 10, 21, 25
Computer project III: Handout
|
|
9
|
Understand the concept of degrees of freedom.
Apply the t-test for single samples, and compare it
to the Normal Deviate Test with Z. (the Z-test for a sample
mean)
Use t to establish confidence intervals and critical
regions.
Apply the Z-test for a sample proportion
Understand the concept of statistical power, and know how
to compute it and maximize it.
Learn how to report t-test results when writing in APA format
|
Due 10/29:
Chapter 9, questions 2, 3, 4, 10, 12, 16, 24
|
|
10
|
Identify the features of an independent-samples design.
Distinguish correlated groups from independent groups.
Distinguish within-subjects from between-subjects designs
Understand and apply the relevant t test for independent
samples.
Understand and compute effect sizes
Know the assumptions underlying the t test.
Learn how to report independent-samples t-test results when
writing in APA format
|
Due 11/3:
Chapter 10, questions 3, 4, 5, 7, 10, 12, 15, 18 |
|
11
|
Understand and apply the relevant t test for correlated
groups or related samples
Know the strengths and risks asssociated with using related
samples
Learn how to report related-samples t-test results when writing
in APA format
|
Due 11/8:
Chapter 11, questions 4, 8, 12, 15, 19, 23
|
|
12
|
Parameter/point estimation
|
Due 11/12:
Chapter 12, questions4, 8, 10, 11, 12, 13, 15, 20
|
|
13
|
Understand and apply the one-way analysis of variance (ANOVA).
Know the relationship between ANOVA and t tests.
Understand and apply the t test for independent groups
to planned comparisons
Understand and apply Tukey's HSD test and the Scheffe' test
for post hoc comparisons
Learn how to report ANOVA results when writing in APA format
|
Due 11/19:
Chapter 13, questions 8, 11, 14, 18, 20, 23
Computer project IV: Handout
|
|
14
|
Compute, evaluate, and interpret the two-way or factorial analysis
of variance
Learn how to report two-way and repeated-measures ANOVA results
when writing in APA format
|
Due 11/29 :
Chapter 14, questions 6, 9, 12, 20, 22, 24
|
|
15
|
Define these terms: scatter plot, Y intercept, slope,
positive/negative/inverse relationships, perfect/imperfect relationship,
outliers
Compute and interpret Pearson r, COD, Spearman rho,
and the f coefficient
Distinguish between correlation and causation.
Define these terms: least-squares regression line,
standard error of estimate, homoscedasticity, multiple regression,
multiple correlation
Compute the Y intercept and slope of a line and use them as
regression coefficients to predict values of Y'
Understand the application of SEE
Apply and interpret multiple correlationand multiple regression
Know when not to use linear regression for prediction
Learn how to report correlation and regression results when
writing in APA format
|
Due 12/6:
Chapter 15, questions 5, 8, 10, 11, 14, 17, 20, 23
Computer project V: Handout
|
|
16
|
Understand and apply the chi-squared tests for goodness of
fit and for independence/association
Learn how to report chi-squared results when writing in APA
format
Know when to apply the Wilcoxon and Kruskal-Wallis tests
|
Due 12/14 :
Chapter 16, questions 3, 8, 10, 12, 15, 18
|
Computer
Usage: Excel and SPSS
1. Guide
sheet to activating Excel and downloading SPSS.
2. Using Pivot
Tables for Frequency Distributions
3.
Drawing column
charts with Excel.
4.
Setting spacing
between columns in Excel charts.
5.
Z-scores in Excel
and SPSS
6.
Pearson correlation in Excel
and SPSS
7.
Spearman correlation in SPSS
12.
The normal deviate test in Excel: Z-test
for samples
Links
to Statistics Sites
Several
statistical databases maintained by federal
government agencies are available on this site.
E-Discussion
Back
to top
A
discussion group folder should be available to you in Outlook. Go to
Public Folders/All Public Folders/ Academic/ Classes/ YoungP/StatF04.
For future convenience, drag the folder up into your Favorites folder.
Remember
that items you post to the discussion group may be read by any member
of the class, including the teacher. However, nobody else has access
to your musings.
PowerPoint
Slides
Click on
the presentation you wish to review. You will reach the first of the
day's (or week's) slides. Click on the scroll bar to the right to go
through the slides. If you wish to print the slides, click on File/Print...
and in the resulting dialog box, you can choose to print Handouts from
the Print What drop-down menu. Then you can choose to print 3 slides
per page, with lines for notes, or six slides per page, to save a tree.
Set
1. Epistemology, terminology, and scales of measurement.
Set 2. Symbols and conventions.
Set 3. Frequency distributions, percentiles,
and percentile ranks.
Set 4. Averages or measures of central tendency
and measures of variability..
Set 5. Z-scores and the standard normal distribution
Set 6. Probability
Set 7. Probability, sampling theory, and the
distribution of sample means
Set 8. Hypothesis testing: The science of uncertainty
rears its ugly head.
Set 8a. The binomial distribution
Set 9. Student's t distribution
Set 10. Two ts for two: Independent
samples and related samples
Set 11.
Set 12. Estimation statistics
Set 13. One way to do Analysis of Variance:
The one-way ANOVA
Set 13a. Multiple comparisons
Set 14. More ways to do Analysis of Variance:
Repeated measures, two factors
Set 15a. Correlation and regression
Set 15b. Correlation
Set 15c. Multiple regression
Set 16. Frequency inferences: Chi-squared and
more
Set 17.
Set 18.
Last
updated 22 September, 2004
Copyright
Paul Young
|