Bạn đang xem bản rút gọn của tài liệu. Xem và tải ngay bản đầy đủ của tài liệu tại đây (21.9 MB, 497 trang )
350
Chapter 12 • Using DesCriptive analysis, performing popUlation estimates, anD testing hypotheses
Question Description
Codes
Value Labels
Size of home town or city
1,2,3,4,5
Gender
Marital status
Number of people in family
Age category
Education category
0,1
0,1
Actual number
1,2,3,4,5
1,2,3,4,5
Income category
1,2,3,4,5
Dwelling type
1,2,3,4
I am worried about global warming.
Gasoline emissions contribute to global
warming.
Desirability: 1-seat all-electric model
Desirability: 4-seat all-electric model
Desirability: 4-seat gasoline hybrid model
Desirability: 4-seat diesel hybrid model
Desirability: 5-seat standard size gasoline
model
Lifestyle: Novelist
Lifestyle: Innovator
Lifestyle: Trendsetter
Lifestyle: Forerunner
Lifestyle: Mainstreamer
Lifestyle: Classic
Favorite television show type
1,2,3,4,5,6,7
1 million and more, 500K to 1 million,10K to
500K,10K to 100K,Under 10K
Male, Female
Unmarried, Married
No labels
18 to 24, 25 to 34, 35 to 49, 50 to 64, 65 and older
Less than high school, high school diploma, some
college, college degree, postgraduate degree
Under $25K, $25K to 49K, $50K to 74K, $75K to
125K, $125K and more
Single family, Multiple family, Condominium/
townhouse, Mobile home
Very strongly disagree, Strongly disagree, Disagree,
Neither disagree nor agree, Agree, Strongly Agree,
Very strongly agree
Very undesirable, Undesirable, Somewhat desirable, Neutral, Somewhat desirable, Desirable, Very
desirable
Favorite radio genre
1,2,3,4,5,6
Favorite magazine type
1,2,3,4,5,6,7,8
Favorite local newspaper section
1,2,3,4,5,6,7
Use of online blogs
Use of content communities
Use of social network sites
Use of online games
Use of virtual worlds
1,2,3,4
1,2,3,4,5,6,7
1, … ,7
Does not describe me at all, …, Describes me
perfectly
1,2,3,4,5,6,7
Comedy, Drama, Movies/mini-series, News/documentary, Reality, Science fiction, Sports
Classic pop & rock, Country, Easy listening, Jazz &
blues, Pop & chart, Talk
Business & money, Music & entertainment, Family
& parenting, Sports & outdoors, Home & garden,
Cooking, food, & wine, Trucks, cars, & motorcycles, News, politics, & current events
Editorial, Business, Local news, National news,
Sports, Entertainment, Do not read
Never, …, 4+ times per day
revieW QUestions/appliCations
For each question below, it is your task to determine
the type of scale for each variable, conduct the proper descriptive analysis with SPSS, and interpret it.
1. What is the demographic composition of the sample?
2. How do respondents feel about: (1) global warming and
(2) gasoline emissions?
3. What type of automobile model is the most desirable to
people in the sample? What type is the least desirable?
4. Describe the “traditional” media usage of respondents
in the sample.
5. Describe the social media usage of the respondents in
the sample.
6. The Global Motors principals believe that the desirability on the part of the American public for each
351
of the automobile models under consideration is the
following.
Vehicle Model Type
1-seat all-electric
4-seat all-electric
4-seat gasoline hybrid
5-seat diesel hybrid
5-seat standard size gasoline
Desirability*
3
4
4
3
2
*Measured on 1-7 scale.
Test these hypotheses with the findings from the
survey.
CHAPTER
13
Learning Objectives
• Tolearnhowdifferencesare
usedformarketsegmentation
decisions
The Importance of Differences Analysis
Marketers often want to know if specific strat-
• Tounderstandwhen t testsor
ztestsareappropriateandwhy
youdonotneedtoworryabout
thisissuewhenusingSPSS
egies or tactics had an impact in the market-
• Tobeabletotestthedifferences
betweentwopercentagesor
meansfortwoindependent
groups
might want to know if consumers changed
place in terms of “moving the needle” on key
performance indicators. For example, they
their opinions about a brand (and their willingness to consider purchasing it) based on their
• Toknowwhatapairedsamples
differencetestisandwhento
useit
Kartik Pashupati,
Research Manager,
Research Now®
• TocomprehendANOVAandhow
tointerpretANOVAoutput
set of questions) both before and after exposure and then examine the
• Tolearnhowtoperform
differencestestsformeans
usingSPSS
example, on an intentions to purchase scale, the before average might
“Where We are”
1 Establish the need for marketing
research.
2 Define the problem.
3 Establish research objectives.
4 Determine research design.
5 Identify information types and sources.
6 Determine methods of accessing
data.
7 Design data collection forms.
8 Determine the sample plan and size.
9 Collect data.
Implementing Basic
Differences Tests
10 Analyze data.
11 Prepare and present the final
research report.
exposure to an ad campaign. This means market researchers need to measure the same indicators (i.e., ask the target audience the same
differences in scores to see if the ad campaign made a difference. For
be a 3, which moves to a 4 after the ad campaign has run.
Some marketers are comfortable about using mean scores to examine changes in key performance indicators, but many others prefer
to examine changes in proportions, such as changes in the percentage
of survey respondents who checked the “top two boxes” in a battery
of questions. (Marketers use the term “top two boxes” as a shorthand
way of referring to the percentage of respondents who selected the two
most positively worded items in a Likert-type question. For example, in a
customer satisfaction survey, the top two boxes refer to the percentage
of customers who said they were “Satisfied” or “Very Satisfied” with a
product or service.) While mean scores allow for much more powerful
statistical tests, they can sometimes suppress interesting results if many
responses cluster around the neutral or midpoint of a scale. In such
instances, marketers often find differences in proportions much more
intuitive and useful for decision making, as they are most interested in
making a difference among those customers who have strong positive
(or negative!) opinions.
Even if the data indicate that the marketing strategy moved the needle
in the desired direction, researchers need to use statistical tests to ensure that
the observed changes can indeed be attributed to the marketing strategy and
to rule out the possibility that the differences are due to random or chance
factors.
Text and Images: By permission,
Research Now®
K
eeping Mr. Pashupati’s comments in mind, in this chapter, we describe the logic of
differences tests, and we show you how to use SPSS to conduct various types of differ ences tests.1 We begin this chapter discussing why differences are important to marketing managers. Next, we introduce differences (percentages or means) between two independent
groups, such as a comparison of high-speed cable versus DSL telephone Internet users on how
satisfied they are with their Internet connection service. Next, we introduce ANOVA, a scary
name for a simple way to compare the means of several groups simultaneously and to quickly
spot patterns of significant differences. We provide numerical examples and share examples
of SPSS procedures and output using the Global Motors survey data. Finally, we establish that
it is possible to test for a difference between the averages of two similarly scaled questions.
For instance, do buyers rate a store higher in “merchandise selection” than they rate its “good
values”?
Why Differences Are Important
Perhaps one of the most useful marketing management concepts is market segmentation. Basically, market segmentation holds that different types of consumers have different requirements, and these differences can be the bases of marketing strategies. As an example, Iams,
which markets pet foods, has more than 20 varieties of dry dog food geared to the dog’s
age (puppy, adult, senior), weight situation (small, medium, large), and activity (reduced,
normal, moderate, high). Toyota Motors
has 20 models, including 8 cars, 2 trucks,
7 SUVs and vans, and 3 hybrids. Even
Boeing has six types of commercial
jets, including the newly developed
Dreamliner, plus a separate business jets
division for corporate travel.
Let’s look at differences from the
consumer’s side. Everyone washes his or
her hands, but the kind of soap required
differs for weekend gardeners with potting soil under their fingernails, factory
workers whose hands are dirty with
solvents, preschoolers who have sticky
drink residue on their hands and faces,
or aspiring beauty princesses who wish
their hands to look absolutely flawless.
The needs and requirements of each of
Photo: © NAN/Fotolia
these market segments differ greatly
353
354
Chapter 13 • ImplementIng BasIC DIfferenCes tests
Market segmentation
is based on differences
between groups of
consumers.
To be potentially useful to
the marketing researcher
or manager, differences
must, at minimum, be
statistically significant.
To be useful to the
marketing researcher or
manager, differences must,
if statistically significant,
be meaningful.
To be useful to the
marketing researcher or
manager, differences must,
if statistically significant
and meaningful, be stable.
from the others, and an astute marketer will customize his or her marketing mix to each target market’s unique situation.2
These differences may seem quite obvious, but as competition intensifies, prolific market segmentation and target marketing become the watchwords of most companies in an
industry. Consumer marketers need to investigate differences among consumer groups, and
B2B marketers seek to differentiate the needs and preferences among business establishments. One commonly used basis for market segmentation is the discovery of (1) statistically
significant, (2) meaningful, (3) stable, and (4) actionable differences. We will discuss each
requirement briefly. In this discussion, we will use the example of working with a pharmaceuticals company that markets cold remedies.
The differences must be significant. As you know, the notion of statistical significance underpins marketing research.3 Statistical significance of differences means that
the differences found in the sample(s) truly exist in the population(s) from which the
random samples are drawn. Apparent differences between and among market segments
must be subjected to tests that assess their statistical significance. This testing is the topic
of this chapter, and we will endeavor to teach you how to perform these tests and interpret
the results.
For example, we could ask cold sufferers, “How important is it that your cold remedy
relieves your (insert symptom here)…” The respondents would respond using an scale of
1 = not important to 10 = very important for each cold symptom such as fever, sore throat,
congestion, aching muscles, etc., and statistical tests such those described in this chapter
would determine if the responses were significantly different. With those in the grip of a
cold virus, we might find two groups that have statistically significant differences. Congestion sufferers greatly desire breathing congestion relief, whereas muscle aches and pains
sufferers more greatly desire relief from musculoskeletal aches and pains associated with
their colds.
The differences must be meaningful. A finding of statistical significance in no way
guarantees “meaningful” difference. In fact, with the proliferation of data mining analysis
due to scanner data with tens of thousands of records, online surveys that garner thousands
of respondents, and other ways to capture very large samples, there is a real danger of finding a great deal of statistical significance that is not meaningful. The reason for this danger
is that statistical significance is determined to a high degree by sample size.4 You will see
in this chapter by examining the formulas we provide that the sample size, n, is instrumental in the calculation of z, the determinant of the significance level. Large samples—those
in excess of 1,000 per sample group—often yield statistically significant results when the
absolute differences between the groups are quite small. A meaningful difference is one
that the marketing manager can potentially use as a basis for marketing decisions.
In our common cold example, there are some meaningful implications that one group
cannot breathe easily while the other group has aches and pains as there are cold remedy ingredients that reduce congestion and other ingredients that diminish pain. Granted, the pharmaceuticals company could include both ingredients, but the congestion sufferers do not want
an ingredient that might make them drowsy due to the strong pain relief ingredient, and the
aches and pains sufferers do not want their throats and nasal passages to feel dry and uncomfortable due to the decongestant ingredient. These differences are meaningful both to the
customer groups and to the pharmaceuticals manufacturer.
The differences should be stable. Stability refers to the requirement that we are not
working with a short-term or transitory set of differences. Thus, a stable difference is one
that will be in place for the foreseeable future. The persistent problem experienced by congestion sufferers is most probably due to some respiratory weakness or condition. They may
have preconditions such as allergies or breathing problems, or they may be exposed to heavy
pollution or some other factor that affects their respiration in general. Muscle aches and
pains sufferers may be very active people who do not have respiration weaknesses, but they
small sample sIzes: the Use of a t test or a z test anD how spss elImInates the worry
355
may value active lifestyle practices, such as regular exercise, or their occupations may require a good deal of physical activity. In either case, there is
a good possibility that when a cold strikes, the sufferer will experience the
same discomfort, either congestion or muscle aches, time and time again.
That is, the differences between the two groups are stable. The pharmaceuticals company can develop custom-designed versions of its cold relief
product because managers know from experience and research that certain
consumers will be consistent (stable) in seeking certain types of relief or
specific product benefits when they suffer from colds.
The differences must actionable. Market segmentation requires that
standard or innovative market segmentation bases are used and that these
bases uniquely identify the various groups so that they can be analyzed
and put in the marketer’s targeting mechanisms. An actionable difference
means that the marketer can focus various marketing strategies and tactics, such as product design or advertising, on the market segments to
accentuate the differences between the segments. A great many segmentation bases are actionable, such as demographics, lifestyles, and product
benefits. In our example, among the many symptoms manifest by colds
sufferers, we have identified two meaningful and stable groups, so a cold
remedy product line that concentrates on each one of these separately is
possible. A quick glance at the cold remedies section of your local drug
Because cold suffers consistently have
store will verify the actionability of these cold symptoms market segments.
different symptoms, such as runny
You may be confused about meaningful and actionable differences. Renoses, congestion, and achy muscles,
call that we used the words “potentially use” in our definition of a meaningful
pharmaceutical companies have identified
difference. With our cold remedies example, a pharmaceutical company could
different market segments.
potentially develop and market a cold remedy that is specific to every type of
cold symptom as experienced by every demographic group and further identiPhoto: Andrii Oleksiienko/Shutterstock
fied by lifestyle differences. For example, there could be a cold medicine to
alleviate the runny noses of teenage girls who participate in high school athletics and a different To be useful to the
one for the sniffles in teenage boys who play high school sports. But it would be economically manager, differences must
unjustifiable to offer so many different cold medicines, so all marketers must assess actionabil- be statistically significant,
meaningful, stable and
ity based on market segment size and profitability considerations. Nevertheless, the fundamen- actionable.
tal differences are based on statistical significance, meaningfulness, and stability assessments.
To be sure, the bulk of this chapter deals strictly with statistically significant differences,
because it is the beginning point for market segmentation and savvy target marketing. Meaningfulness, stability, and actionability are not statistical issues; rather, they are marketing
manager judgment calls.
Small Sample Sizes: The Use of a t Test or a z Test
and How SpSS Eliminates the Worry
Most of the equations related in this chapter will lead to the computation of a z value. As
we pointed out in the previous chapter, computation of the z value makes the assumption
that the raw data for most statistics under scrutiny have normal or bell-shaped distributions. However, statisticians have shown that this normal curve property does not occur
when the sample size is 30 observations or less.5 In this instance, a t value is computed
instead of a z value. The t test is defined as the statistical inference test to be used with
small samples sizes (n # 30). Any instance when the sample size is 30 or greater requires
the use of a z test.
The great advantage to using statistical analysis routines on a computer is that they
are programmed to compute the correct statistic. In other words, you do not need to decide whether you want the program to compute a t value, a z value, or some other value.
®
The t test should be used
when the sample size is
30 or less.
356
Chapter 13 • ImplementIng BasIC DIfferenCes tests
Most computer statistical
programs report only
the t value because it is
identical to the z value
with large samples.
With SPSS, the analyses of differences are referred to as t tests, but now that you realize that
SPSS will always determine the correct significance level, whether it is a t or a z, you do not
need to worry about which statistic to use. The talent you need to acquire is how to interpret
the significance level reported by SPSS. Marketing Research Insight 13.1 introduces a “flag
waving” analogy that students have told us is helpful in this regard.
Marketing research insight 13.1
Practical Application
Green Flag Signals and Significance in Statistical Analysis
The output from statistical procedures in all software programs
can be envisioned as “green flag” devices. When the green signal flag is waving, statistical significance is present. Then, and
only then, is it warranted to look at the findings more closely to
determine the pattern of the findings; if the flag is not green,
your time will be wasted by looking any further. To read statistical flags, you need to know two things. First, where is the flag
located? Second, what color is it?
The flags, called “p values” by statisticians, are identified on
computer output by the terms significance or probability.
Sometimes abbreviations such as “Sig” or “Prob” are used to
economize on the output. To find the flag, locate the “Sig” or
“Prob” designation in the analysis, and look at the number associated with it. The number will be a decimal, perhaps as low
as 0.000 but ranging to as high as 1.000. When you locate it,
you have found the statistical significance flag.
Where Is the Flag?
What Color Is the Flag?
Virtually every statistical test or procedure involves the computation of some critical statistic, and that statistic is used to
determine the statistical significance of the findings. The critical statistic’s name changes depending on the procedure and
its underlying assumptions, but usually the statistic is identified
as a letter, as in z, t, or F. Statistical analysis computer programs
automatically identify and compute the correct statistic, so although it is helpful to know ahead of time what statistic will be
computed, it is not essential to know it. Moreover, the statistic is
not the flag; rather it is just a computation necessary to raise the
flag. You might think of the computed statistic as the flagpole.
The computer program also raises the flag on the flagpole, but its name changes a bit depending on the procedure.
In NASCAR racing, the green flag signals the start of the race.
For purposes of this textbook, we have adopted the 95% level
of confidence. That is, if you are 95% confident that the green
flag is out, you would expect the race to be under way.
As we noted previously, the significance or probability values reported in statistical analysis output range from .0000 to
1.000, and they indicate the degree of support for the null hypothesis (no differences). If you take 1 minus the reported significance level—for example, if the sig level is .03, you would
take 1 minus .03 to arrive at .97, or 97%—that is the level of
confidence for our finding. Any time this value is .05 or less
(95% level of confidence), you should know you have the
green flag to start your interpretation of the findings.
Testing for Significant Differences
Between Two Groups
Statistical tests are used
when a researcher wants
to compare the means
or percentages of two
different groups or
samples.
Independent samples are
treated as representing
two potentially different
populations.
Often, as we have done in our cold remedy example, a researcher will want to compare two
groups of interest. That is, the researcher may have two independent groups such as first-time
versus repeat customers, and he or she may want to compare their answers to the same question. The question may be either a nominal or an ordinal scale. Such a variable requires that the
researcher compare percentages; a scale variable requires comparing means. As you know by
now, the formulas differ depending on whether percentages or means are being tested.
Differences betWeen Percentages With tWO grOuPs
(inDePenDent saMPLes)
When a marketing researcher is interested in making comparisons between two groups of
respondents to determine whether there are statistically significant differences between
them, in concept, he or she is considering them as two potentially different populations.
testIng for sIgnIfICant DIfferenCes Between two groUps
The question to be answered becomes whether their respective population parameters are different. (A parameter is simply a value in the population that is of interest to the researcher.)
But, as always, a researcher can only work with the sample results. Therefore, the researcher
must fall back on statistical significance to determine whether the difference that is found between the two sample statistics is a true population difference. You will shortly discover that
the logic of differences tests is similar to the logic of hypothesis testing, which was discussed
in the previous chapter.
To begin, we will refer to an intuitive approach you use every day when comparing two
things to make an inference. Let’s assume you have read a Business Week article about college
recruiters that quotes a Harris poll of 100 randomly selected companies, indicating that 65%
will be visiting college campuses to interview business majors. The article goes on to say that
a similar poll taken last year with 300 companies found that only 40% would be recruiting at
college campuses. This is great news: More companies will be coming to your campus this
year with job interviews. However, you cannot be completely confident of your joyous conclusion because of sampling error. If the difference between the percentages was very large,
say 80% for this year and 20% for last year, you would be more inclined to believe that a true
change had occurred. But if you found out the difference was based on small sample sizes,
you would be less confident with your inference that last year’s and this year’s college recruiting are different. Intuitively, you have taken into account two critical factors in determining
whether statistically significant differences exist between a percentage or a mean compared
between two samples: the magnitude of the difference between the compared statistic (65%
versus 40%) and sample sizes (100 versus 300).
To test whether a true difference exists between two group percentages, we test the null
hypothesis, or the hypothesis that the difference in their population parameters is equal
to zero. The alternative hypothesis is that there is a true difference between them. To perform the test of significance of differences between two percentages, each representing
a separate group (sample), the first step requires a comparison of the two percentages. The
comparison is performed to find the arithmetic difference between them. The second step
requires that this difference be translated into a number of standard errors away from the
hypothesized value of zero. Once the number of standard errors is known, knowledge of
the area under the normal curve will yield an assessment of the probability of support for
the null hypothesis.
For a difference between two percentages test, the equation is as follows:
Formula for significance of the difference
between two percentages
z =
357
With a differences test,
the null hypothesis states
that there is no difference
between the percentages
(or means) being
compared.
p1 - p2
sp 1 - p 2
Where
p1 = percentage found in sample 1
p2 = percentage found in sample 2
sp1 - p2 = standard error of the difference between two percentages
The standard error of the difference between two percentages combines the standard error of the percentage for both samples, and it is calculated with the following formula:
Formula for the standard error of the
difference between two percentages
sp 1 - p 2 =
A
p2 * q2
p1 * q1
+
n1
n2
Again, if you compare these formulas to the ones we used in hypothesis testing in
Chapter 12, you will see that the logic is identical. First, in the numerator, we subtract
one sample’s statistic (p2) from the other sample’s statistic (p1) just as we would subtract
With a differences test, you
test the null hypothesis
that no differences exist
between the two group
means (or percentages).
358
Chapter 13 • ImplementIng BasIC DIfferenCes tests
the hypothesized percent from the sample percent in hypotheses testing. We use the
subscripts 1 and 2 to refer to the two different sample statistics. Second, the sampling
distribution is expressed in the denominator. However, the sampling distribution under
consideration now is the assumed sampling distribution of the differences between the
percentage rather than the simple standard error of a percentage used in hypothesis testing. That is, the assumption has been made that the differences have been computed for
comparisons of the two sample statistics for many repeated samplings. If the null hypothesis is true, this distribution of differences follows the normal curve with a mean equal
to zero and a standard error equal to one. Stated somewhat differently, the procedure
requires us to accept the (null) hypothesis as true until it lacks support from the statistical
test. Consequently, the differences of a multitude of comparisons of the two sample percentages generated from many, many samplings would average zero. In other words, our
sampling distribution is now the distribution of the difference between one sample and
the other, taken over many, many times.6 The following example will walk you through
the point we just made.
Here is how you would perform the calculations for the Harris poll on companies coming to campus to hire college seniors. Recall that last year’s poll with 300 companies reported
that 40% were coming to campus, while this year’s poll with 100 companies reported that
65% were visiting campuses.
Computation of the
significance of the
difference between
two percentages
z =
=
=
p1 - p2
sp 1 - p 2
65 - 40
65 * 35
40 * 60
+
A 100
300
25
222.75 + 8.0
25
=
5.55
= 4.51
When z is greater than
1.96, there is little support
for the null hypothesis of
no difference. Therefore,
there is a statistically
significant difference.
Notes:
p1 = 65%
p2 = 40%
n1 = 100
n2 = 300
We compare the computed z value with our standard z of 1.96 for the 95% level of confidence, and the computed z of 4.51 is larger than 1.96. A computed z value that is larger than
the standard z value of 1.96 amounts to no support for the null hypothesis at the 95% level
of confidence. There is a statistically significant difference between the two percentages, and
we are confident that if we repeated this comparison many, many times with a multitude of
independent samples, we would conclude that there is a significant difference in at least 95%
of these replications. Of course, we would never do many, many replications, but this is the
statistician’s basis for the level of significance.
We realize that it is confusing to keep in mind the null hypothesis, to understand all the
equations, and to figure out how to interpret the findings. We have provided a table that describes the null hypothesis for each type of group differences test described in this chapter.
Refer to Table 13.1.
It is a simple matter to apply the formulas to percentages to determine the significance of
their differences, for all that is needed is the sample size of each group. Marketing Research
Insight 13.2 relies on significance of the difference between percentages tests we have computed based on the information in the source. This feature highlights the significantly different
profiles of grocery item impulse purchasing found for French versus Swedish supermarket
customers.
testIng for sIgnIfICant DIfferenCes Between two groUps
Table 13.1
359
Null Hypotheses for Group Differences Tests
null hypothesis
what Does It mean if the hypothesis Is
not supported?
Differences between two group percents
No difference exists between the percents of the
two groups (populations).
A difference does exist between the percents of
the two groups (populations).
Differences between two group means
No difference exists between the means of the
two groups (populations).
A difference does exist between the means of
the two groups (populations).
Differences in means among more than two groups (Note: Only differences in means
can be tested here)
No difference exists between the means of all
A difference exists between the means of at
paired groups (populations).
least one pair of groups (populations).
Active Learning
Calculations to Determine Significant Differences
Between percentages
You can now perform your own tests of the differences between two percentages using the
formulas we have provided and described. A local health club has just finished a media blitz
(newspaper, television, radio, etc.) for new memberships. Whenever prospective members
visited the health club’s facilities, they were asked to fill out a short questionnaire, and one
question asked them to indicate what ads they saw in the past month. Some of these prospects joined the health club, while some did not; thus, we have two populations: those who
joined the health club and those who did not. At the end of the 30-day campaign, a staff
member performed the following tabulations.
Total visitors
Joined the Health Club
Did Not Join the Health Club
100
30
Recalled newspaper ads
45
15
Recalled FM radio station ads
89
20
Recalled Yellow Pages ads
16
5
Recalled local TV news ads
21
6
Use your knowledge of the formula and the test of the significance of the difference between
two percentages to ascertain if there are any significant differences in this data. What are the
implications of your findings with respect to the effectiveness of the various advertising media
used during the membership recruitment ad blitz?
To learn
about
proportion
differences
tests,
launch
www.youtube.com, and
search for “Hypothesis
Test Comparing Population
Proportions.”
®
using sPss fOr Differences betWeen Percentages Of tWO grOuPs
As is the case with most statistical analysis programs, SPSS does not perform tests of the
significance of the difference between the percentages of two groups. You can, however, use
SPSS to determine the sample percentage on your variable of interest along with its sample
size. To do this you should use the SPSS command, FREQUENCIES. Repeat this descriptive
analysis for the other sample, and you will have all the values required (p1, p2, n1, and n2) to
perform the calculations by hand or in a spreadsheet program. (Recall that you can compute
q1 and q2, based on the “p + q = 100%” relationship.)
SPSS does not perform
tests of the significance
of the difference between
the percentages of two
groups, but you can use
SPSS to generate the
relevant information
and perform a hand
calculation.
360
Chapter 13 • ImplementIng BasIC DIfferenCes tests
Marketing research insight 13.2
Global Application
Impulse purchases Differ in French Versus Swedish Consumers
It is well known that consumers buy on impulse, and supermarket
purchases are commonly cited as rife with impulse purchasing. A
recent study7 addressed the question “Is impulse purchasing universal?” meaning does it exist in consumers regardless of their
nationalities. If it is universal, then marketers can use similar impulse purchase strategies, such as end-of-aisle and checkout displays, to stimulate it in supermarkets. The study compared French
and Swedish supermarket shoppers and found the following
percentages of impulse purchases across 15 product categories.
In the figure, bars that do not have percent labels pertain
to those products where no statistically significant (95% level of
confidence) differences were found. It is interesting to note that
while impulse buying is universal for these two nationalities, it
differs by product category. Specifically, French grocery shoppers
are more prone to impulse purchases of stable food items, such as
crackers and biscuits, fruits, and cheese, than are Swedish grocery
shoppers, while Swedish shoppers are more prone to impulse
purchases of snacks such as candy and peanuts and potato chips
as well as soft drinks, than are French shoppers. These differences
findings reveal that marketers who seek to stimulate impulse
shopping in supermarkets must vary their strategies according to
the customs in each country in which they are operating.
Impulse Purchases of French and Swedish Grocery Shoppers
Differences betWeen Means With tWO grOuPs
(inDePenDent saMPLes)
The procedure for testing significance of difference between two means, from two different
groups (either two different samples or two different groups in the same sample) is identical
to the procedure used in testing two percentages. However, the equations differ because a
scale variable is involved.