solution

Discriminant analysis discriminates ethical and unethical behaviour

In order to identify the important variables that predict ethical and unethical behaviour, discriminant analysis was used. Prior research suggested that the variables that affect ethical decisions were attitudes, leadership, the presence or absence of ethical codes of conduct and the organisation’s size. To determine which of these variables were the best predictors of ethical behaviour, 149 firms were surveyed and asked to indicate how their firm operated in 18 different ethical situations. Of these 18 situations, 9 related to marketing activities. These activities included using misleading sales presentations, accepting gifts for preferential treatment and pricing below out-of-pocket expenses. Based on these nine issues, the participating firms were classified into two groups: ‘never practice’ and ‘practice’. An examination of the variables that influenced classification via twogroup discriminant analysis indicated that attitudes and a company’s size were the best predictors of ethical behaviour. Evidently, smaller firms tended to demonstrate more ethical behaviour on marketing issues.

 
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solution

In a small group, discuss the following issue: ‘Is it meaningful to determine the relative importance of predictors in discriminating between the groups? Why or why not?’

You are a marketing research analyst for a manufacturer of fashion clothing targeted at teenage boys. You have been asked to develop a set of 10 statements for measuring psychographic characteristics and lifestyles that you feel would relate to their fashion personas. The participants would be asked to indicate their degree of agreement with the statements using a sevenpoint scale (1 = completely disagree, 7 = completely agree). Question 40 students on campus using these scale items. Factor analyse the data to identify the underlying psychographic factors.

 
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solution

In a study of personal alarms, women were asked to rate eight personal alarms using the following 15 statements:

1 Feels comfortable in the hand.

2 Could be easily kept in the pocket.

3 Would fit easily into a handbag.

4 Could be easily worn on the person.

5 Could be carried to be very handy when needed.

6 Could be set off almost as a reflex action.

7 Would be difficult for an attacker to take it off me.

8 Could keep a very firm grip on it if attacked.

9 An attacker might be frightened that I might attack him with it.

10 Would be difficult for an attacker to switch off.

11 Solidly built.

12 Would be difficult to break.

13 Looks as if it would give off a very loud noise.

14 An attacker might have second thoughts about attacking me if he saw me with it.

15 I would be embarrassed to carry it around with me.

The question was ‘Could these 15 variables be reduced to a smaller number of derived variables, known as factors, in such a way that too much information was not lost?’. Factor analysis enabled these 15 variables to be reduced to four underlying dimensions, or factors that women used to evaluate the alarms. Factor 1 seemed to measure a dimension of size, on a continuum of small to large. Factor 2 tapped into aspects of the appearance of a personal alarm. Factor 3 revealed robustness characteristics, with factor 4 related to hand feel.

 
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solution

Analyse the Benetton data (taken from Exercise 4, Chapter 20). Consider only the following variables: awareness, attitude, preference, intention and loyalty towards Benetton.

a Analyse these data using principal components analysis, using the varimax rotation procedure.

b Interpret the factors extracted.

c Calculate factor scores for each participant.

d If surrogate variables were to be selected, which ones would you select?

e Examine the model fit.

f Analyse the data using common factor analysis, and answer parts b to e.

Exercise 4

In a survey pre-test, data were obtained from 45 participants on Benetton clothes. These data are given in the table overleaf, which gives the usage, gender, awareness, attitude, preference, intention and loyalty towards Benetton of a sample of Benetton users. Usage was coded as 1, 2 or 3, representing light, medium or heavy users. Gender was coded as 1 for females and 2 for males. Awareness, attitude, preference, intention and loyalty were measured on a seven-point Likert-type scale (1 = very unfavourable, 7 = very favourable). Note that five participants have missing values, which are denoted by 9.
Analyse the Benetton data to answer the following questions. In each case, formulate the null and alternative hypotheses and conduct the appropriate statistical test(s):

a Obtain a frequency distribution for each of the following variables and calculate the relevant statistics: awareness, attitude, preference, intention and loyalty towards Benetton.

b Conduct a cross-tabulation of the usage with gender. Interpret the results.

c Does the awareness for Benetton exceed 3.0?

d Do males and females differ in their awareness of Benetton? Their attitude towards Benetton? Their loyalty to Benetton?

e Do the participants in the pre-test have a higher level of awareness than loyalty?

f Does awareness of Benetton follow a normal distribution?

g Is the distribution of preference for Benetton normal?

h Assume that awareness towards Benetton was measured on an ordinal scale rather than an interval scale. Do males and females differ in their awareness of Benetton?

i Assume that loyalty towards Benetton was measured on an ordinal scale rather than an interval scale. Do males and females differ in their loyalty towards Benetton?

j Assume that attitude and loyalty towards Benetton were measured on an ordinal scale rather than an interval scale. Do the participants have a greater awareness of Benetton than loyalty to Benetton?

 
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