measurement&scaleingmba1
TRANSCRIPT
-
7/28/2019 Measurement&Scaleingmba1
1/81
ESSENTIALSOF RESEARCH
-
7/28/2019 Measurement&Scaleingmba1
2/81
Understand the role of measurement inmarketing research
Explain the four basic levels of scales
Describe scale development and itsimportance gathering primary data
Discuss comparative andnoncomparative scales
-
7/28/2019 Measurement&Scaleingmba1
3/81
Measurement
To collect data, you need to havesomething to measure
Measurement is the process ofassigning numbers or scores
to characteristics or attributes
of the objects or people of
interest
-
7/28/2019 Measurement&Scaleingmba1
4/81
Measurement is the process of assigningnumbers or labels to objects, persons, states,or events in accordance with specific rules torepresent quantities or qualities of attributes.
We do not measure specific objects, persons,
etc., we measure attributes or features thatdefine them. Ex., What defines the person Brent Wren?
What is a students level of education? Howcustomer oriented is our company?
Overriding Goal: To provide a valid andreliable description or enumeration of theperson, objects, issue, etc.
-
7/28/2019 Measurement&Scaleingmba1
5/81
Why do scores on a measurement scale differ? A true difference in the characteristic being
measured. Short-term personal factors (e.g., moods, time
constraints) Situational factors (e.g., surroundings) Variations in method of administering survey. Sampling of items included in the
questionnaire.
Lack of clarity in the measurement instrument. Mechanical or instrument factors causing
completion errors.
-
7/28/2019 Measurement&Scaleingmba1
6/81
1. Define concepts to be measured
2. Define attributes of the concepts
3. Select scale of measurement (data type)
4. Generate Items/Questions Wording
Response format
5. Layout and design questionnaire
6. Pretest and refine
-
7/28/2019 Measurement&Scaleingmba1
7/81
Variables
When we measure the attributes of an object,we obtain a value that varies between
objects.
For example consider the people in this class
as objects and their height as the attribute
The attribute height varies between objects,
hence attributes are more collectively known
as variables Variables can be measured on four different
scales
-
7/28/2019 Measurement&Scaleingmba1
8/81
Attitudes
Expressions of inner feelings that reflect whethera person is favorably or unfavorably predisposed
to some object a brand, a brand name, a
service, a service provider, a retail store, a
company, an advertisement; in essence, anymarketing stimuli.
Opinions
A large amount of questions in marketingresearch are designed to measure attitudes
Marketing managers want to understand
consumers attitudes in order to influence their
behavior
-
7/28/2019 Measurement&Scaleingmba1
9/81
The ABCs of attitudes: The Affective Component (based on feelings or
overall evaluation) Feelings of like or dislike
The Behavioral Component (likely actiontoward object; e.g. from a consumer behavior
point of view, the consumers intention to buy a
product) Intentions to behave
The Cognitive Component (based on beliefs;
what you think about a marketing stimulus)
Information possessed
Three components of attitudes
-
7/28/2019 Measurement&Scaleingmba1
10/81
Nominal Scales
Ordinal Scales
Interval Scales
Ratio Scales
-
7/28/2019 Measurement&Scaleingmba1
11/81
Classifies data according to a category
only.
E.g., which color people select.Colors differ qualitatively not
quantitatively.
A number could be assigned to each
color, but it would not have any value.
The number serves only to identify thecolor.
No assumptions are made that any color
has more or less value than any other
color.
Nominal scale
-
7/28/2019 Measurement&Scaleingmba1
12/81
Assign subjects to groups or categories
No order or distance relationship
No arithmetic origin
Only count numbers in categories
Only present percentages of categories
Chi-square most often used test of
statistical significance
Nominal scale
-
7/28/2019 Measurement&Scaleingmba1
13/81
Sex Social status
Marital status Days of the week (months)
Geographic location Seasons
Ethnic group Types of restaurants
Brand choice Religion
Job type: executive, technical, clerical
Other examples
Coded as 0 Coded as 1
-
7/28/2019 Measurement&Scaleingmba1
14/81
Which of the following media influences your purchasing decisions themost?
1 Television
2 Radio
3 Newspapers
4 Magazines
Nominal scale
-
7/28/2019 Measurement&Scaleingmba1
15/81
Classifies data according to some
order or rank; e.g. names ordered
alphabetically
With ordinal data, it is fair to say that
one response is greater or less than
another.
E.g. if people were asked to rate the
hotness of 3 chili peppers, a scale of"hot", "hotter" and "hottest" could be
used. Values of "1" for "hot", "2" for
"hotter" and "3" for "hottest" could be
assigned.
Ordinal scale
The gap between the items is
unspecified.
-
7/28/2019 Measurement&Scaleingmba1
16/81
Can include opinion
and preference scales
Median but not mean
No unique, arithmetic
originItems cannot be
added
In marketingresearch practice,
ordinal scale variables
are often treated as
interval scale variables
Ordinal scale
-
7/28/2019 Measurement&Scaleingmba1
17/81
Ordinal scale
Small medium large
Quality
Likert scales, rank on a scaleof 1.5 your degree of
satisfaction
Womens dress sizes
Examples
1 Padraig Harrington 116
2 Tiger Woods 78
3 Vijay Singh 62
4 Phil Mickelson 54
5 Sergio Garcia 54
6 Anthony Kim 46
7 Kenny Perry 42
8 Camilo Villegas 42
9 Trevor Immelman 30
10 Stewart Cink 14
Rank Player Points
-
7/28/2019 Measurement&Scaleingmba1
18/81
Please rank the news programs offered in the following four networks
based on your preference.(1 for most preferred, 4 for least preferred).
_____ TVP1
_____ TVP2_____ Rzeszow TV
_____ TVN
-
7/28/2019 Measurement&Scaleingmba1
19/81
How likely are you going to buy a new automobile within the next six
months? (Please check the most appropriate category)
Definitely will not buy ___ 1
Probably will not buy ___ 2
May or may not buy ___ 3
Probably will buy ___ 4Definitely will buy ___ 5
Interval scale
-
7/28/2019 Measurement&Scaleingmba1
20/81
Similar to interval scales except that the
ratio scale has a true zero value.
e.g. the time something takes
Allows you to compare differences
between numbers.
Permits full arithmetic operation.
If a train journey takes 2 hours and 30
min, then this is half as long as a journey
which takes 5 hours.
Ratio scale
-
7/28/2019 Measurement&Scaleingmba1
21/81
Indicates actual amount of variable Shows magnitude of differences between points on scale
Shows proportions of differences
All statistical techniques useable
Most powerful with most meaningful
answers
Allows comparisons of absolute
magnitudes
Ratio scale
-
7/28/2019 Measurement&Scaleingmba1
22/81
01234567
Examples
height, weight, age,
length
time
income
market share
1.What is your annual income before
taxes? $ _______
2. How far is your workplace from
home?
_______ kilometres
-
7/28/2019 Measurement&Scaleingmba1
23/81
Primary scales of measurement
4 81 9
Nominal Numbers
assignedto runners
Ordinal Rank order of
winners
Third
Place
Second
Place
First
Place
Interval Performancerating on a 0 to
10 Scale8.2 9.1 9.6
Ratio Time to finish in
seconds 15.2 14.1 13.4
-
7/28/2019 Measurement&Scaleingmba1
24/81
Always use the most powerful scale
possible
Adding sophistication to scales Concept: Desire to watch Star Wars movies
If a Star Wars movie is on television will youwatch it?
Yes _____ No _____
How likely are you to watch a Star Wars movieshown on television?
Very Likely ____ Likely ____
Indifferent ___
Unlikely _____ Very Unlikely _____
-
7/28/2019 Measurement&Scaleingmba1
25/81
Paired
compariso
n
Rank
order
Constan
t sum
Comparativ
e scales
Non-comparative
scales
Continuo
us rating
scales
Itemized
rating
scales
Stapel
Semantic
differentialLikert
A classification of scaling techniques
SCALING TECHNIQUES
Others
-
7/28/2019 Measurement&Scaleingmba1
26/81
Types of scaling Techniques
COMPARATIVE SCALES
Involve the respondent directly comparing stimulus objects.
e.g. How does Pepsi compare with Coke on sweetness
NON-COMPARATIVE SCALES
Respondent scales each stimulus object independently of other objects
e.g. How would you rate the sweetness of Pepsi on a scale of 1 to 10
-
7/28/2019 Measurement&Scaleingmba1
27/81
Comparative scales:
paired comparison items
A and B
A and C A and D
B and C
B and D C and D
If we have brands A, B, C and D, we would haverespondents compare
usually limited to N < 15
-
7/28/2019 Measurement&Scaleingmba1
28/81
Please indicate which of the following airlines you
prefer by circling your more preferred airline in
each pair:
Air Canada WestJet
Air Transat Air Canada
Horizon Air WestJet
WestJet Air Transat
Air Canada Horizon Air
Horizon Air Air Transat
Comparative scales:
paired comparison items
-
7/28/2019 Measurement&Scaleingmba1
29/81
Allocate a total of 100 points among the following soft-drinks depending
on how favorable you feel toward each; the more highly you think of
each soft-drink, the more points you should allocate to it. (Please check
that the allocated points add to 100.)
Coca-Cola _____ points
7-Up _____ points
Mirinda _____ points
Fanta _____ points
Pepsi-Cola _____ points
100 points
Comparative scales:
constant sum scales
-
7/28/2019 Measurement&Scaleingmba1
30/81
Please divide 100 points among the following characteristics so the
division reflects the relative importance of each characteristic to you in
the selection of a bank
Hours of service ________________
Friendliness _______________
Distance from home ________________
Investment vehicles ________________
Parking facilities __________________
Comparative scales:
constant sum scales
-
7/28/2019 Measurement&Scaleingmba1
31/81
Rank the following soft-drinks from 1 (best) to 5 (worst) according to your
taste preference:
Coca-Cola _____
7-Up _____
Fanta _____
Pepsi-Cola _____
Mountain Dew _____
Top and bottom rank choices are easy Middle ranks are usually most difficult
Comparative scales:
rank order scales
-
7/28/2019 Measurement&Scaleingmba1
32/81
Paired
compariso
n
Rank
order
Constan
t sum
Comparativ
e scales
Non-comparative
scales
Continuo
us rating
scales
Itemized
rating
scales
Stapel
Semantic
differentialLikert
A classification of scaling techniques
SCALING TECHNIQUES
Others
-
7/28/2019 Measurement&Scaleingmba1
33/81
Continuous scale How would you rate Stat. Analysis to other
courses this term
0 10 20 30 40 50 60 70 80 90 100
The worst
The BestXX
Non comparative scale
Non comparati e scale
-
7/28/2019 Measurement&Scaleingmba1
34/81
Non-comparative scale
-
7/28/2019 Measurement&Scaleingmba1
35/81
Itemized Rating Scales
Semantic
differential
scale
The Likert scale Stapel scale
Non Comparative Scales
-
7/28/2019 Measurement&Scaleingmba1
36/81
Non-Comparative Scales
-
7/28/2019 Measurement&Scaleingmba1
37/81
Modern Store
Low prices
Unfriendly staff
Narrow productrangeSophisticated
customers
Old- fashioned store
High prices
Friendly staff
Wide product rangeUnsophisticated
customers
Semantic differential scale
Here are a number of statements that could be used to describe
Tesco. For each statement tick ( ) the box that best
describes your feelings about Tesco.
-
7/28/2019 Measurement&Scaleingmba1
38/81
Likert scaleStrongly
disagree
Disagree Neither agree
nor disagree
Agree Strongly
agree
Cost is the most importantconsideration when buying a
new car
1 2 3 4 5
-
7/28/2019 Measurement&Scaleingmba1
39/81
Strongly agree
Agree
Undecided
Disagree
Strongly disagree
Agree strongly
Agree moderately
Agree slightly
Disagree slightly
Disagree
moderately
Disagree strongly
Agree
Disagree
Agree
Undecided
Disagree
Agree very strongly
Agree strongly
Agree
Disagree
Disagree strongly
Disagree very strongly
Completely agree
Mostly agree
Slightly agree
Slightly disagree
Mostly disagree
Completelydisagree
AGREEMENT To what extent do you agree or disagree that Pudliszki
is a high quality brand?
Disagree strongly
Disagree
Tend to disagree
Tend to agree
Agree
Agree strongly
-
7/28/2019 Measurement&Scaleingmba1
40/81
Very frequently
Frequently
Occasionally
Rarely
Very rarely
Never
Always
Very frequently
Occasionally
Rarely
Very rarely
Never
Always
Usually
About half the time
Seldom
Never
Almost always
To a considerable degree
Occasionally
Seldom
A great deal
Much
Somewhat
Little
Never
Often
Sometimes
Seldom
Never
Always
Very often
Sometimes
Rarely
Never
FREQUENCY How frequently do you go swimming?
-
7/28/2019 Measurement&Scaleingmba1
41/81
Very important
ImportantModerately important
Of little importance
Unimportant
Very important
Moderately important
Unimportant
Very goodGood
Barely acceptable
Poor
Very poor
Extremely poorBelow average
Average
Above average
Excellent
Good
Fair
Poor
IMPORTANCE
QUALITY
How important is price to you when purchasing jeans?
How would you rate the quality of Toshiba laptops?
-
7/28/2019 Measurement&Scaleingmba1
42/81
Likely
Unlikely
To a great extent
Somewhat
Very little
Not at all
True
False
Definitely
Very probably
Probably
Possibly
Probably not
Very probably not
Almost always true
Usually true
Often true
Occasionally true
Sometimes but infrequently true
Usually not true
Almost never true
True of myself
Mostly true of myself
About halfway true of myself
Slightly true of myself
Not at all true of myself
LIKELIHOOD How likely will you be to purchase a car in the next 6
months?
-
7/28/2019 Measurement&Scaleingmba1
43/81
Stapel scale
+5
+4
+3+2
+1
quality
-1
-2-3
-4
-5
+5
+4
+3+2
+1
service
-1
-2-3
-4
-5
Rank university BAREK on the
quality of its food and service.
S f
-
7/28/2019 Measurement&Scaleingmba1
44/81
Select a plus number for words that you
think describe the store accurately. The
more accurately you think the work
describes the store, the larger the plus
number you should choose. Select a minus
number for words you think do not describe
the store accurately. The less accurately
you think the word describes the store, the
larger the minus number you should
choose, therefore, you can select anynumber from +5 for words that you think are
very accurate all the way to -5 for words that
you think are very inaccurate.
A Stapel scale for measuring a stores image
Tesco
+5 +5 +5+4 +4 +4
+3 +3 +3
+2 +2 +2
+1 +1 +1
HIGH POOR WIDE
QUALITY SERVICE VARIETY-1 -1 -1
-2 -2 -2
-3 -3 -3
-4 -4 -4
-5 -5 -5
-
7/28/2019 Measurement&Scaleingmba1
45/81
SOME BASIC CONSIDERATIONS
WHEN SELECTING A SCALE
Balanced versusnon-balanced
alternatives
Number of
categories
Odd or even number
of scale categories
Forced versus non-forced
choice
-
7/28/2019 Measurement&Scaleingmba1
46/81
Odd
Strongly agree _____
Agree _____
Neutral _____
Disagree _____
Strongly disagree_____
Even
Strongly agree_____
Agree _____
Disagree _____
Strongly disagree___
Odd versus even
if neutral responses likely, use oddnumber
-
7/28/2019 Measurement&Scaleingmba1
47/81
Balanced vs. Unbalanced
Balanced
Very good ______Good ______
Fair ______
Poor ______
Very poor ______
Unbalanced
Excellent ______Very good ______
Good ______
Fair ______
Poor ______
-
7/28/2019 Measurement&Scaleingmba1
48/81
Forced vs. Unforced
Forced
Extremely reliable ___
Very reliable ___
Somewhat reliable ___
Somewhat unreliable ___
Very unreliable ___
Extremely unreliable ___
Unforced
Extremely reliable ___
Very reliable ___
Somewhat reliable ___
Somewhat unreliable ___
Very unreliable ___
Extremely unreliable ___
Dont know ___
-
7/28/2019 Measurement&Scaleingmba1
49/81
Labeled vs. End anchored
Labeled
Excellent _____Very good _____
Fair _____
Poor _____
Very Poor _____
End Anchored
Excellent __________
_____
_____
Poor _____
-
7/28/2019 Measurement&Scaleingmba1
50/81
Labeled
Excellent _____Very good _____
Fair _____
Poor _____
Very poor _____
Excellent _____
Very good _____
Fair _____
Poor _____
Very poor _____
Intervals may not reflect the semantic
meaning of the Adjectives
Intervals are
not equal
Intervals are
not equal
-
7/28/2019 Measurement&Scaleingmba1
51/81
Number of scale points
5 Point
Excellent _____
_____
_____
_____
Poor _____
10 Point
Excellent_____________
_____________
_____________
_____________
_____________
_____________
_____________
_____________
_____________
_____________Poor
-
7/28/2019 Measurement&Scaleingmba1
52/81
1. ReliabilityThe degree to which a measure accurately capturesa true outcome without errorsynonymous with repetitive consistency2. ValidityThe degree to which a measure faithfullyrepresents the underlying concept (it asks the rightquestions)3. SensitivityThe ability to discriminate meaningful differencesbetween attitudes. The more categories the moresensitive (but less reliable)
-
7/28/2019 Measurement&Scaleingmba1
53/81
Reliability can be more easily determined thanvalidity
If it is reliable, it may or may not be valid
If a measure is valid, it may or may not bereliable
If it is not reliable, it cannot be valid
If it is not valid, it may or may not be reliable
-
7/28/2019 Measurement&Scaleingmba1
54/81
Reliability and Validity
Neither ReliableNor Valid Reliable ButNot Valid
Reliable
And Valid
-
7/28/2019 Measurement&Scaleingmba1
55/81
Example of low validity, high
reliability Scale is perfectly accurate, but is capturing
the wrong thing; for example, it measures
consumers interest in creative writing ratherthan preference for kinds of stationery.
-
7/28/2019 Measurement&Scaleingmba1
56/81
Example of modest validity,
low reliability Scale genuinely measures consumers
interest in kinds of stationery, but poorly
worded items, sloppy administration,data entry errors lead to random errors
in data
-
7/28/2019 Measurement&Scaleingmba1
57/81
Nominal scales focus on only requiring arespondent to provide some type of
descriptor as the raw response
Example.
Please indicate your current martial status.
__Married __ Single __ Single, never married __ Widowed
-
7/28/2019 Measurement&Scaleingmba1
58/81
Ordinal scales allow the respondent toexpress relative magnitude between the raw
responses to a question
Example.
Which one statement best describes your opinion of an Intel PC processor?
__ Higher than AMDs PC processor
__ About the same as AMDs PC processor
__ Lower than AMDs PC processor
-
7/28/2019 Measurement&Scaleingmba1
59/81
Interval scales demonstrate the absolutedifferences between each scale point
Example.
How likely are you to recommend the Santa Fe Grill to a friend?
Definitely will not Definitely will
1 2 3 4 5 6 7
-
7/28/2019 Measurement&Scaleingmba1
60/81
Ratio scales allow for the identification ofabsolute differences between each scale point,
and absolute comparisons between rawresponses
Example 1.
Please circle the number of children under18 years of age currently living in your
household.
0 1 2 3 4 5 6 7 (if more than 7, please specify ___.)
-
7/28/2019 Measurement&Scaleingmba1
61/81
Understanding of the questions Discriminatory power of scale descriptors
Balanced versus unbalanced scales
Forced or nonforced choice scales Desired measure of central tendency and
dispersion
-
7/28/2019 Measurement&Scaleingmba1
62/81
Central Tendency Mode
Median
Mean
Dispersion Frequency
distribution
Range
Standarddeviations
-
7/28/2019 Measurement&Scaleingmba1
63/81
If a nominal scale is used, analysis of raw datacan only be done using modes and frequencydistributions
If ordinal scales are used, analysis of raw data
can be done using medians and ranges (plusmodes and frequency distributions)
If interval or ratio scales are used, analysis ofraw data can be done through the use of sample
means and estimated standard deviations as thesample statistic (plus the above)
-
7/28/2019 Measurement&Scaleingmba1
64/81
1. Define concepts to be measured2. Define attributes of the concepts
3. Select scale of measurement (data type)
4. Generate Items/Questions Wording
Response format
5. Layout and design questionnaire
6. Pretest and refine
-
7/28/2019 Measurement&Scaleingmba1
65/81
Items are basically questions Need to ensure that enough questions are
asked to generate information necessary toaddress research problems.
Likely will have a mix of question typesand scales of measurement
Multi-item, Composite or Index Measures
A measurement scale containing multiplequestions addressing same construct orattribute
-
7/28/2019 Measurement&Scaleingmba1
66/81
Likert Scale Likert-Type Scale
Semantic Differential Scale
Behavioral Intention Scale Noncomparative Scales
Comparative Scales
-
7/28/2019 Measurement&Scaleingmba1
67/81
A likert scale is
an ordinal scale format
thatasks respondents
to indicate the extent to which
they agree or disagree with a series of
mental or behavioral belief
statements about a given object
-
7/28/2019 Measurement&Scaleingmba1
68/81
-
7/28/2019 Measurement&Scaleingmba1
69/81
A semantic differential scale is
unique bipolar ordinal scale format
that captures a persons attitudesand/or feelings about a given object
-
7/28/2019 Measurement&Scaleingmba1
70/81
-
7/28/2019 Measurement&Scaleingmba1
71/81
A behavioral intentionscale is
a special type of rating scale designed
to capture the likelihood that people
will demonstrate some type ofpredictable behavior intent
toward purchasing an object or service
in a future time frame
-
7/28/2019 Measurement&Scaleingmba1
72/81
-
7/28/2019 Measurement&Scaleingmba1
73/81
Noncomparative Rating Scales format that requires a judgment without reference
to another object, person, or concept
Comparative Rating Scales
format that requires a judgment comparing oneobject, person, or concept against another on thescale
-
7/28/2019 Measurement&Scaleingmba1
74/81
-
7/28/2019 Measurement&Scaleingmba1
75/81
-
7/28/2019 Measurement&Scaleingmba1
76/81
1. Define concepts to be measured2. Define attributes of the concepts
3. Select scale of measurement (data type)
4. Generate Items/Questions Wording
Response format
5. Layout and design questionnaire
6. Pretest and refine
-
7/28/2019 Measurement&Scaleingmba1
77/81
Major Issues What should be included?
Comes from objectives, construct definitions, andassociated attributes
How should questions be phrased? In what sequence should questions be arranged?
What layout will best serve the research objectives?
-
7/28/2019 Measurement&Scaleingmba1
78/81
Open-ended vs. Closed-ended
Simple dichotomous vs. Multi-choice A place for every respondent but only one place
(Exhaustive and Mutually Exclusive)
Range of choices needs to be consistent with the
sample (ex. income categories for students vs.professionals)
How to handle no opinion or notapplicable respondents?
Do you need odd or even number ofchoices?
-
7/28/2019 Measurement&Scaleingmba1
79/81
Use simple language that is consistent withyour population
Be as specific as possible
Avoid leading and loaded questions
Avoid double-barreled questions Ex. How would you rate our companys service,
selection of products, and prices?
Avoid questions that are too difficult to
answer
-
7/28/2019 Measurement&Scaleingmba1
80/81
Always begin with simple, non-offensivequestions and get more complex as youmove along. Funneling technique
Pay attention to whether certain questionsare relevant for every respondent or onlysome Use branching or filter questions appropriately
Give clear instructions for completing
questionnaire Use appropriate fonts and white space to
avoid crowding
-
7/28/2019 Measurement&Scaleingmba1
81/81
The following links will provide you copies ofquestionnaires that have been developed andused in this class before.
Madison Resident Survey http://cas.uah.edu/wrenb/mkt343/madison.final.doc
University Fitness Center
http://cas.uah.edu/wrenb/mkt343/ufc.doc Graduating Students Survey
http://cas.uah.edu/wrenb/mkt343/graduating studentsurvey.doc
Panoply http://cas.uah.edu/wrenb/mkt343/panoply.doc
Huntsville Land Trust http://cas.uah.edu/wrenb/mkt343/landtrust.ques.doc
http://cas.uah.edu/wrenb/mkt343/madison.final.dochttp://cas.uah.edu/wrenb/mkt343/ufc.dochttp://cas.uah.edu/wrenb/mkt343/graduating%20student%20survey.dochttp://cas.uah.edu/wrenb/mkt343/graduating%20student%20survey.dochttp://cas.uah.edu/wrenb/mkt343/panoply.dochttp://cas.uah.edu/wrenb/mkt343/landtrust.ques.dochttp://cas.uah.edu/wrenb/mkt343/landtrust.ques.dochttp://cas.uah.edu/wrenb/mkt343/panoply.dochttp://cas.uah.edu/wrenb/mkt343/graduating%20student%20survey.dochttp://cas.uah.edu/wrenb/mkt343/graduating%20student%20survey.dochttp://cas.uah.edu/wrenb/mkt343/ufc.dochttp://cas.uah.edu/wrenb/mkt343/madison.final.doc