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Research process- A
systematic approachResearch refers to the systematic method consisting of:
Defining the problem,
Formulating a hypothesis,
Collecting the fact or data,
Analyzing the facts and
Reaching certain conclusions in the form of solutions
towards the concerned problem
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Characteristics of Research
a. Systematic Approach
Each step must of your investigation be so planned that it leads to the next step.Planning and organization are part of this approach. A planned and organizedresearch saves your time and money.
b. Objectivity
It implies that True Research should attempt to find an unbiased answer to thedecision-making
c. ReproducibleA reproducible research procedure is one, which an equally competent researcher
could duplicate, and from it deduces approximately the same results.
d. Relevancy It avoids collection of irrelevant information and saves time and money
It enables to see whether the research is proceeding in the right direction
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ROLE OF RESERCH- EXMP
MARKETING:
Advertising research, packaging research, product performance evaluation research, salesanalysis, distribution channel, Demand forecasting, Consumer buying behaviour,
Measuring advertising effectiveness, Media selection for advertising, Test marketing,
Product positioning, Product potential
Production: Product development, Cost reduction, Work simplification, Profitabilityimprovement, Inventory control, Quality control
HR: wage rates, incentive schemes, cost of living, employee turnover rates, employment trends,
and performance appraisal.
Finance: Investment avenues, Investment Behaviour, Portfolio management, Researches in
Capital Markets, Portfolio Management, cost analysis, Working Capital Management.
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Basic terminology
A problem statement: a problem statement articulates the
problem to be addressed and indicates the need for a study.A statement of purpose: which is the researcher s summary
of the overall goal of a study
A research question is a clear, focused, concise, complex
and arguable question around which you centre your
research. You should ask a question about an issue that you
are genuinely curious about.
Research aims or objectives: the specific accomplishmentsthe researcher hopes to acheive by conducting the study.The
objectives include obtaining answers to reach questions or
testing research hypotheses
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Source of research problems
Students are sometimes puzzled about the origins ofresearch problems
Where do ideas for research problems come from
How do researchers select topic areas and develop researchquestions
At the most basic level, research topics originateresearchersinterests
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Evaluationg Research problem
There are no rules for making a final selection of aresearch problem
The four most important consideration are
the significance,
researchability, and
feasibility of the problem and
its interest to the researcher
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The Significance of Problem Its significance to current practice
Researchers should pose the following kinds of questions:
Is the problem an important one?
Will society or organisation or employees benefit from theevidence that will be produced?
Will the results lead to practical applications
Will the findings challenge untested asuumptions?
If the answer to all these questions is no then the problem
should be abandoned (behind, left alone)
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Researchability of the problem
When a new area of inquiry (a search forknowledge) is being pursued, it may be
impossible to define the concepts of interest in
precise terms It may be appropriate to address the problem
using in-depth qualitative research
The problem may be stated fairly broad termsto permit full exploration of the concept of
interest
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Problemdiscovery
Problem definition(statement of
research objectives)
Secondary
(historical)
data
Experience
survey
Pilot
study
Case
study
Selection of
exploratory researchtechnique
Selection of
basic research
method
Experiment SurveyObservation
Secondary
Data StudyLaboratory Field Interview Questionnaire
Selection of
exploratory research
techniqueSampling
Probability Nonprobability
Collection of
data
(fieldwork)
Editing andcoding
data
Data
processing
Interpretation
of
findings
Report
Data
Gathering
DataProcessing
and Analysis
Conclusions
and Report
Research Design
Problem Discovery
and Definition
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Symptoms vs. Problems
Chocolate
Symptom
Consumers prefer the taste of competitors brand
PD based on the Symptom
What type of reformulated taste is needed?
True Problem
Old-fashioned package influenced taste perception
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Symptoms vs. Problems
Manufacturer of palm-size computers with Internetaccess
SymptomDistributors complain prices are too high
PD based on the Symptom
Investigate business users to learn how much pricesneed to be reduced
True Problem
Distributors do not have adequate product knowledge to
communicate products value
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Management Decision Problems vs.
Marketing Research Problems
Management Decision
Problems
Ask what the decisionmaker needs to do
Action oriented
Focus on symptoms
Marketing Research
Problems
Ask what information is
needed and how it
should be obtained
Information oriented
Focus on the underlying
causes
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Translating Management Problems into
Research Problems (Questions)
Management Problem Determine the best ways the firm can communicate
with potential purchasers of laptop computers
Research Questions How familiar are consumers with the various brands of
computers?
What attitudes do consumers have toward these brands? How important are the various factors for evaluating
the purchase of a laptop computer?
How effective are the communications efforts of thevarious competitive marketers in terms of message
recognition?
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Descriptive research question Relationship research question
Difference research question
Types of Research questions
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Typically asks what is and suggests a surveydesign
Descriptive research question
Examples:What is the prevailing organizational culture insoftware organisations in India?
What are the dominant leadership values held by the
Managers in the software industry in India?
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Relationship research question
It asks What is the relationship between two ormore variables?
Examples:Does self-concept relate to self-confidence of the
employees?
Is organizational commitment related to theemployers length of service with the company?
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Difference research question
Typically asks Is there a difference between two
groups?
This type of question is used when the researcher
compares two or more observations.
Examples:
1. Do male and female students marks in GATE examinationdiffer?
2. Is there a significant difference in the investment pattern withrespect to different classification s of:
2.1 age;
2.2 gender; and
2.3 Family status?
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Common
Errors
Errors in Defining the Research Problem
Problem Definition is
too Broad
Does Not Provide
Guidelines for
Subsequent Steps
e.g., Improving the
Companys Image
Problem Definition
is too Narrow
May Miss Some
Important Components
of the Problem
e.g. Changing Prices in
Response to a
Competitors Price
Change.
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Bad vs. Good Research Questions
Research questions should be stated as clearly as
possible
Bad research questionIs advertising copy X better than advertising copy Y?
Good research question
Which advertising copy has a higher day-after recall score?
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Sample Research Questions
Unclear:Why are social networking sites harmful?
Clear:How are online users experiencing or addressingprivacy issues on such social networking sites as MySpace andFacebook?
Unfocused:What is the effect on the environment from global
warming?
Focused:How is glacial melting affecting penguins in Antarctica?
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Components of
the MarketingResearch Problem
Research
Questions
Hypotheses
AnalyticalFramework
and
Models
Development of Research Questions & Hypothesis
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Analytical Framework & Models
Research questions & hypotheses are developed withinanalytical frameworks Basically, theories & models
Theory suggests that satisfaction improves
morale & perceptionsA sales manager who wants to increase market share
(management problem) may:
Ask how to encourage salespeople to generate moresales (research question)
State that (based on theory) higher job satisfactionleads to greater sales productivity (hypothesis)
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The overall goal of the project is to assess the
performance of national pharmaceutical policies in
developing countries (focusing on policy outputs
andpolicy process), to analyze the reasons for theirsuccess or failure, and to propose strategies for
improvement.
RQ & OBJECTIVES
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RQ & OBJECTIVES
The principal research question that the project seeks to answer is:Have National Drug Policies (whether they exist as explicit policy
documents, or are implicit in government actions) in developing
countries been successful in achieving the goals of availability,
accessibility, good quality, and rational use of essential drugs? Why orwhy not?
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RQ & OBJECTIVES
Within this context, the specific objectives are:
a) To identify strengths, weaknesses, and political dimensions of
pharmaceutical policy formulation and implementation within each
country;
b) To propose explanations for cross-national variations in performance;
and
c) To propose effective strategies, both national and international, that
can improve pharmaceutical policy implementation.
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Theory testing and theory construction
Theory building
Theory building is a process in which research begins with
observations and uses inductive reasoning to derive a theory from
these observations.
Theory testing
1. Theory testing approach begins with a theory and2. Uses theory to guide which observations to make:
3. It moves from the general to the particular.
4. The observations should provide a test of the worth of the
theory.
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Theory building and theory testing approaches to research
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RESEARCH DESIGN
It is the framework, a blueprint for the research study which guides thecollection and analysis of data.
To be effective, a research design should furnish at least the following
details.
a) A statement of objectives of the study or the research output.
b) A statement of the data inputs required on the basis of which theresearch problem is to be solved.
c) The methods of analysis which shall be used to treat and analyse the
data inputs.
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Types of Research Design Three traditional categories of research design:
Exploratory
Descriptive
Causal/Experimental
The choice of the most appropriate design dependslargely on the objectives of the research and how much
is known about the problem and these objectives.
Uncertainty Influences The Type Of Research
COMPLETELY
CERTAIN
ABSOLUTE
AMBIGUITY
CAUSALOR
DESCRIPTIVE
EXPLORATORY
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Research Design: Exploratory Research
The exploratory research design, as the name suggests:
-involves getting a feel of the situation;
- emphasises a discovery of ideas and
-possible insights that may help in identifying areas of further rigorous
study.
The main objective of the exploratory research is to fine tune the
broad problem into specific problem statement and generate possible
hypotheses.
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The exploratory studies are mainly used for:
1) Providing information to enable a more precise problem
definition or hypothesis formulation.
2) Establishing research priorities.
3) Giving the researcher a feel of the problem situation and
familiarising him with the problem.
4) Collecting information about possible problems in carrying out
research, using specific collection tools and specific techniques for
analysis.
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The generally used methods in exploratory research are:
a) Survey of existing literature
b) Survey of experienced individuals
c) Analysis of selected case situations.
d) Focus Groups
e)Projective Techniques
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DESCRIPTIVE RESEARCH DESIGN
Descriptive research is undertaken to provide answers to questionsof who, what, where, when, and howbut not why.
Descriptive designs are aimed only at providing accurate
descriptions of variables relevant to the problem under
consideration, they are generally used for preliminary andexplorative studies.
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Descriptive research can be used for the following purposes:
a) To describe the characteristics of certain groups of interest to the
marketer e.g. users of the product, potential users, non users, possiblereceivers of promotional communication by the company and so on.
b) To estimate the proportion of people in a given population who behave
in a certain way for example the proportion of consumers who are proneto deals.
c) To make specific predictions for specified future periods.
d) To develop inferences whether certain variables are associated, for
example income and shopping place preference.
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Two basic classifications: Descriptive Research
Design Cross-sectional studies
Longitudinal studies
The cross sectional study is aimed at taking a one time measure of the
situation or the phenomenon in which the decision maker is interested.
Cross sectional designs give the picture of the situation at a given point
of time.
Cross-sectional studies measure units from a sample of the population
at only one point in time.
CROSS SECTIONAL STUDIES
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LONGITUDINAL STUDIES
Involves the continual or periodic information collection from a fixed
panel or sample of respondents.
Two types of panels:
Continuous panels ask panel members the same questions on eachpanel measurement.
Discontinuous (Omnibus) panels vary questions from one time tothe next.
Longitudinal data used for:
Market tracking
Brand-switching
Attitude and image checks
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Research Hypotheses
A hypothesis is a prediction about the relationshipbetween two or more variables
A hypothesis translates a quantitative researchquestion into a precise prediction of expected
outcomes
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Functions
Bringing clarity to the research problem
Serves the following functions
provides a study with focus
signifies what specific aspects of a research problem is toinvestigate
what data to be collected and what not to be collected
enhancement of objectivity of the study
formulate the theory
enable to conclude with what is true or what is false
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Characteristics Hypotheses has the following characteristics:
1. Operationalisable
2. a tentative proposition
3. unknown validity
4. specifies relation between two or more variables
5. Simple, specific, and contextually clear
6. Capable of verification7. Related to the existing body of knowledge
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Typologies
Three types
working hypothesis
Null hypothesis
Alternate hypothesis
Working hypothesis
Theworking or trail hypothesis is provisionally adopted to
explain the relationship between some observed facts forguiding a researcher in the investigation of a problem.
A Statement constitutes a trail or working hypothesis (which) is
to be tested and conformed, modifies or even abandoned asthe investi ation roceeds.
Typologies
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Typologies
NNull hypothesis
A Null hypothesis is formulated against the working hypothesis; opposes the
statement of the working hypothesis
....it is contrary to the positive statement made in the working hypothesis;formulated to disprove the contrary of a working hypothesis
When a researcher rejects a null hypothesis, he/she actually proves a working
hypothesis
IIn statistics, to mean a null hypothesis usually Ho is used. For example,HoQ = O
where Q is the property of the population under investigation
O is hypothetical
Typologies
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Typologies
Alternate hypothesis
An alternate hypothesis is formulated when a researcher totallyrejects null hypothesis
He/she develops such a hypothesis with adequate reasons
The notion used to mean alternate hypothesis is H1
Q>Oi.e., Q is greater than O
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Example
Working hypothesis: Population influences the number of bankbranches in a town
Null hypothesis (Ho): Population do not have any influence on
the number of bank branches in a town.
Alternate hypothesis (H1): Population has significant effect on thenumber of bank branches in a town. A researcher formulates this
hypothesis only after rejecting the null hypothesis.
W di f h th i
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Wording of hypothesis
Simple versus complex hypotheses
Simple: expresses an expeted relationship between oneindependent and one dependent variable
A complex a prediction of a relationship between twoor more independent variables and or two or more
dependent variable Multivariate hypotheses involve multiple variables
Hypothesis should be worded in the present tense
Researcher make predictions about the relationship thatexist in the population and not just about therelationship that will be revealed in a particular sample
Wording of hypothesis
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Wording of hypothesis
Directionl versus nondirectional hypotheses
Directional, is one that specifies not only the existence butthe expected direction of the relationship betweenvariables
Older patient are at greater risk of falling than younger
ones A nondirectional hypothesis these hypothesis state the
prediction that apatients age and the risk of falling arerelated, they do not stipulate (specify as a condition)
whether the researcher think that older or youger patientsare at great risk
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Research versus null hypothesis
Research hypothesis,also refered to as
(substantive, declarative and scientific hypotheses)
are statements of expected relationships between
variables
Null hypothesis, there is no relationship betweenthe independent and dependent variables
Lib R h H th i F ti
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Library Research
Learning what is known
about the target behavior
Hypothesis Formation
Based on Lib. Rsh., propose
some new knowledge Research Design
Determine how to
obtain the data to testthe RH:
Data Collection
Carrying out the
research design and
getting the data.
Data AnalysisData collation and
statistical analysisHypothesis Testing
Based on design properties
and statistical results
Draw Conclusions
Decide how your new
knowledge changes
what is known about
the target behavior
the Research Loop
Novel RH:
Replication
Convergence
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Five types of statistical analysis
Descriptive
Inferential
Differences
Associative
Predictive
What are the characteristics of the respondents?
What are the characteristics of the population?
Are two or more groups the same or different?
Are two or more variables related in a systematic way?
Can we predict one variable if we know one or
more other variables?
G l P d f
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General Procedure for
Hypothesis Test
1. Formulate H0 (null hypothesis) and H1(alternative hypothesis)
2. Select appropriate test3. Choose level of significance
4. Calculate the test statistic (SPSS)
5. Determine the probability associated withthe statistic.
Determine the critical value of the teststatistic.
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General Procedure for
Hypothesis Test
6 a)Compare with the level of significance,
b) Determine if the critical value falls in the
rejection region. (check tables)
7 Reject or do not reject H0
8 Draw a conclusion
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The hypothesis the researcher wants to test is calledthe alternative hypothesis H1.
The opposite of the alternative hypothesis is the null
hypothesis H0 (the status quo)(no difference betweenthe sample and the population, or between samples).
The objective is to DISPROVE the null hypothesis.
The Significance Level is the Criticalprobability ofchoosing between the null hypothesis and the
alternative hypothesis
1. Formulate H1andH0
2 Select Appropriate Test
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The selection of a proper Test depends on:
Scale of the data
nominal interval
the statistic you seek to compare
Proportions (percentages)
means the sampling distribution of such statistic
Normal Distribution
T Distribution
2 Distribution Number of variables
Univariate
Bivariate
Multivariate
Type of question to be answered
2. Select Appropriate Test
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Testing for Differences Between Mean of the
Sample and Mean of the Population
The manager ofPepperoni Pizza Restauranthasrecently begun experimenting with a new method
of baking its pepperoni pizzas. He believes that the new method produces a
better-tasting pizza, but he would like to base a
decision on whether to switch from the old method
to the new method on customer reactions.
Therefore he performs an experiment.
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For 40 randomly selected customers who order apepperoni pizza for home delivery, he includes bothan old style and a free new style pizza in the order.
All he asks is that these customers rate the differencebetween pizzas on a -10 to +10 scale, where -10means they strongly favor the old style, +10 meansthey strongly favor the new style, and 0 means theyare indifferent between the two styles.
The Experiment
-10 +100
Old pizza New pizza
1 F l H d H
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One-Tailed Versus Two-Tailed Tests
The form of the alternative hypothesis can be either a
one-tailed or two-tailed, depending on what you are
trying to prove.
A one-tailed hypothesis is one where the only sample
results which can lead to rejection of the null hypothesis
are those in a particular direction, namely, those where
the sample mean rating is positive. A two-tailed test is one where results in either of two
directions can lead to rejection of the null hypothesis.
1. Formulate H1andH0
1 F l t H d H
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One-Tailed Versus Two-Tailed Tests -- continued
Once the hypotheses are set up, it is easy to detectwhether the test is one-tailed or two-tailed.
One tailed alternatives are phrased in terms of > or
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1. Formulate H1andH0 As the manager you would like to observe a
difference between both pizzas
If the new baking method is cheaper, you would
like the preference to be for it.
Null Hypothesis
AlternativeTwo tail
test
One tail
test= mu=population mean
H0 =0 (there is no differencebetween the old style and the new
style pizzas) (The difference between
the mean of the sample and the mean
of the population is zero)
H1 0 or H1>0
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2. Select Appropriate Test
What we want to test is whether consumers prefer the
new style pizza to the old style. We assume that there
is no difference (i.e. the mean of the population is
zero) and want to know whether our observed result is
significantly (i.e. statistically) different.
The one-sample t test is used to test whether the mean
of the sample is equal to a hypothesized value of the
population from which the sample is drawn.
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Accepting the null hypothesis that the pizzas are
equal, when they are really perceived to be differentby the customers of the entire population.
Type I Error
Rejecting the null hypothesis that the pizzas are
equal, (and saying that they are different or the new
style is better) when they really are perceived equal
by the customers of the entire population.
Type II error
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3. Choose Level of Significance
Significance Level selected is typically .05 or .01
i.e 5% or 1%
The ratings of 40 randomly selected customers
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produces the following table and statistics
From the summary statistics, we see that the sample mean is 2.10
and the sample standard deviation is 4.717
The positive sample meansuggests a slight preference for the newpizza, (alternative hypothesis) but there is a fair degree of variation.
What we dont know is whether this preference is significant
4 Calculate the Test Statistic
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816.240/717.4
010.2
valuet
4. Calculate the Test Statistic
t = X- 0s/n T(n-1)
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5. Determine the Probability-value (Critical Value)
We use the right tail
because the alternative isone-tailed of the greaterthan variety
The probability beyondthis value in the right tailof the tdistribution with
n-1 = 39 degrees offreedom isapproximately 0.004
The probability, 0.004,is thep-value for the
test. It indicates thatthese sample resultswould be very unlikelyif the null hypothesis istrue.
6 Compare with the level of significance ( 05)and
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1-Reject H0 Reject H0
Do not Reject H0
0
2.8162.023-2.023
/2/2
6. Compare with the level of significance, (.05)anddetermine if the critical value falls in the rejection region
Since the statistic falls in the rejection area we reject Ho
and conclude that the perceived difference between the
pizzas is significantly different from zero.
7. Reject or do not reject H0
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8 Conclusion
the sample evidence is fairly convincing thatcustomers, on average, prefer the new-style pizza.
Should the manager switch to the new-style pizza on
the basis of these sample results?
Depends. There is no indication that the new-style pizza
costs any more to make than the old-style pizza.
Therefore, unless there are reasons for not switching (for
example, costs) then we recommend the switch.
i
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Comparing Means
Suppose you are the brand manager forTylenol,and a recent TV ad tells the consumers that Advilis more effective (quicker) at treating headachesthan Tylenol.
An independent random sample of 400 people witha headache is given Advil, and 260 people reportthey feel better within an hour.
Another independent sample of 400 people is taken
and 252 people that tookTylenol reported feelingbetter.
Is the TV ad correct? Or, in other words, is there adifference between the means of the two samples
Hypothesis Test for Two
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Hypothesis Test for Two
Independent SamplesTest for mean difference:
Null Hypothesis
Alternative
H0 1= 2H1 12
Under H0 1- 2 = 0. So, the test concludes whether there is adifference between the means or not.
Comparison of means:
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Comparison of means:
Graphically
Are the means equal? Or are the differences simply
due to chance?
2 Select Appropriate Test
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2. Select Appropriate TestIn this example we have two independent samples
Other examples
populations of users and non-users of a brand differ in
perceptions of the brand
high income consumers spend more on the product than lowincome consumers
The proportion of brand-loyal users in Segment 1 (eg males)
is more than the proportion in segment II (e.g. females)
The proportion of households with Internet in Canada
exceeds that in USA
Can be used for examining differences between means and
proportions
2 Select Appropriate Test
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The two populations are sampled and the means and
variances computed based on the samples of sizes n1 and n2
If both populations are found to have the same variance
then a t-statistic is calculated.
The comparison of means of independent samples assumes
that the variances are equal.
If the variances are not known an F-test is conducted to
test the equality of the variances of the two populations.
2. Select Appropriate Test
0
F
f
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Unequal variances: The problem
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Tylenol vs Advil
We would need to test if the difference is zero or not.H0:A - T = 0;
H1:A - T 0
z= .65 - .63
(.65)(.35)/400+ (.63)(.37)/400= 0.66
pA= 260/400= 0.65
pT = 252/400= 0.63
For large samples the t-distribution approaches the normal
distribution and so the t-test and the z-test are equivalent.
Variability of random
means
mean 1mean 2t =
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Differences Between Groups
when Comparing Means Ratio scaled dependent variables
t-test
When groups are small
When population standard deviation is
unknown
z-testWhen groups are large
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Degrees of Freedom
d.f. = n - k
where:
n = n1 + n2
k = number of groups
The degrees of freedom is (n1 + n22)
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Tylenol vs Advil
- 0 0.66
= 0.10 Critical value = 1.64
1.64-1.64
/2/2 -1
Since 0.66 is less than the critical value of 1.64 we accept the null
hypothesis: there is no difference between Advil and Tylenol users
Test for Means Difference on Paired Samples
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Test for Means Difference on Paired Samples
What is a paired sample?
When two sets of observations relate to the same respondents
When you want to measure brand recall before and afteran ad campaign.
Shoppers consider brand name to be more important than
price Households spend more money on pizza than onhamburgers
The proportion of a banks customers who have a checking
account exceeds the proportion who have a savings account Since it is the same population that is being sampled theobservations are not independent.
The appropriate test is a paired-t-test
Example
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Q1. When purchasing golf clubs rate the importance 1-5 of priceQ2. When purchasing golf clubs rate the importance 1-5 of brand
Example
H0
H1 One tailed
H1 Two Tailed
There is no difference in importance between brand and
price
There is a difference in importance between
brand and price
Price is more important than brand
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What is an ANOVA?
One-way ANOVA stands for Analysis ofVariance
Purpose:
Extends the test formean difference betweentwo independent samples to multiple samples.
Employed to analyze the effects of
manipulations (independent variables) on arandom variable (dependent).
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What does ANOVA test? The null hypothesis tests whether the mean of all
the independent samples is equal
H0 1= 2 = 3..= n
H1 123.. n
The alternative hypothesis specifies that all themeans are not equal
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Definitions
Dependent variable: the variable we aretrying to explain, also known as responsevariable (Y).
Independent variable: also known asexplanatory variables or Factors (X).
Research normally involves determiningwhether the independent variable has an
effect on the variability of the dependentvariable
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Comparing Antacids
Non comparative ad:
Acid-off provides fast relief
Explicit Comparative ad:
Acid-off provides faster relief than Tums
Non explicit comparative adAcid-off provides the fastest relief
The maker of Acid-off, an antacid stomach remedy wants to
know which type of ad results in the most positive brand
attitude among consumers.
Three groups of people are exposed to one type of ad and
asked to rate their attitude towards the ad.
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Comparing Antacids
Brand
Attitude
Type of AdNon
Comparative
Explicit
Comparative
Non Explicit
Comparative
Means
The dependent variable (denoted by Y) is called the response
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The dependent variable (denoted by Y) is called the response
variable and in this case it is brand attitude (I.e. we want to
know what effect ad type has on attitude toward the brand)
The independent variables are called factors, in this case
type of ad: non-comparative, explicit comparative, non-explicit
comparative
The different levels of the factor are called treatments. In
this case the treatments are the different ratings for each of the
three types of ads.
There will be two sources of variation.
Variation within the treatment (e.g. within the non-
comparative ad etc.)
Variation between the treatments (I.e. between the three
types of ads)
The whole idea behind the analysis of variance is to compare
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The whole idea behind the analysis of variance is to compare
the ratio of between group variance to within group variance.
If the variance caused by the interaction between the samples is
much larger when compared to the variance that appears
within each group, then it is because the means are different.
groupswithinVariance
groupsbetweenVarianceF
Degrees of Freedom
The F statistic has DF for both numerator (between group) and
denominator (within group)
DF between group = (c-1) where c=number of groups
DF within group = (N-c) where N is sample size
Decomposition of the Total
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Independent Variable X
Categories Total Sample
X1 X2 X3 . Xc
Y1 Y1 Y1 . Y1 Y1Y2 Y2 Y2 . Y2 Y2
Yn Yn Yn . Yn Yn
Y1 Y2 Y3 Yc Y
Decomposition of the Total
Variation
Total
Variation
SSy
Between Category Variation SSbetween
Category
Mean
Within
Category
Variation
SSwithin
Grand
Mean
ANOVA T t
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ANOVA TestThe null hypothesis would be tested with
the F distribution
df(c-1)/(N-c)
Reject H0F distribution
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One way ANOVA investigates:Main effects
factor has an across-the-board effect
e.g., type of ad
Or age
or involvement
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A TWO-WAY ANOVA investigates:
INTERACTIONS
effect of one factor depends on another factor
e.g., larger advertising effects for those with no
experience
importance of price depends on income level and
involvement with the product
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Testable means that there must be some way to
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Testable -- means that there must be some way to
way to collect the data to evaluate the RH
Falsifiable -- means that the RH: must possibly be wrong!
General Definition
a tentative explanation or a guess about the target behavior
MUST BE TESTABLE ( falsifiable ) !!!
3 Different Kinds
Attributive
Associative
Causal
Attributive Research Hypothesis
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states that a behavior exists, can be measured, and
can be distinguished from similar other behaviors univariate hypothesis (one variable)
Evidence to support ...
need to demonstrate a technique that allows properlytrained researchers to reliably record and score the
behavior
with what type of knowledge about behavior does
this correspond ?? _________________
Associative Research Hypothesis
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states that a relationship exists between two
behaviors -- that knowing the amount or kind of onebehavior helps you to predict the amount or kind of
the other behavior
bivariate hypothesis (two variables) Evidence to support
show that there is a reliable statistical relationship betwee
the two variables
with what type of knowledge about behavior does
this type of RH correspond ??
Causal Research Hypothesis
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states that differences in the amount or kind of one
behavior cause/produce/create/change/etc.differences in amount or kind of the other behavior
bivariate hypothesis -- causal behavior
& effectbehavior
Evidence needed to support a causal hypothesis...
temporal precedence (cause precedes effect)demonstrate a statistical relationship
elimination of alternative explanations (no other viable
causes/explanations of the effect)
Library Research
Learning what is known
Hypothesis Formation
Based on Lib Rsh propose
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Learning what is known
about the target behavior
Based on Lib. Rsh., propose
some new knowledge Research Design
Determine how to
obtain the data to testthe RH:
Data Collection
Carrying out theresearch design and
getting the data.
Data Analysis
Data collation and
statistical analysisHypothesis Testing
Draw Conclusions
Decide how your new
knowledge changes
what is known about
the target behavior
the Research Loop
Novel RH:
Replication
Convergence