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570 MULTIDIMENSIONAL MEASUREMENT<br />

variables with factor loadings as follows were selected<br />

for inclusion in their respective factors: > 0.51<br />

(factor 1), > 0.44 (factor 2), > 0.55 (factor 3),<br />

> 0.44 (factor 4), and > 0.64 (factor 5). The<br />

factors are named, respectively: Leadership skills in<br />

school management; Parent and teacher partnerships<br />

in school development; Promoting staff development by<br />

creativity and consultation; Respect for, and confidence<br />

in, the senior management team; andEncouraging staff<br />

development through participation in decision-making.<br />

(See http://www.routledge.com/textbo<strong>ok</strong>s/<br />

9780415368780 – Chapter 25, file SPSS Manual<br />

25.1.)<br />

Having presented the data for the factor analysis<br />

the researcher would then comment on what<br />

it showed, fitting the research that was being<br />

conducted.<br />

Factor analysis is based on certain assumptions<br />

which should be maintained in order to serve<br />

fidelity to this technique, for example:<br />

<br />

<br />

<br />

<br />

<br />

<br />

The data must be interval and ratio.<br />

The sample size should be no fewer than around<br />

150 persons. 1<br />

There should be at least 5 cases for each<br />

variable (Pallant (2001: 153) suggests 10 cases<br />

for each variable).<br />

The relationships between the variables should<br />

be linear.<br />

Outliers should be removed.<br />

The data must be capable of being factored.<br />

To achieve this, several of the correlations<br />

should be of 0.3 or greater, the Bartlett test<br />

of sphericity (SPSS calculates this at the<br />

press of a button) should be significant at<br />

the 0.05 level or better, and the Kaiser-<br />

Meyer-Olkin measure of sampling adequacy<br />

(calculated automatically by SPSS) should be<br />

at 0.6 or above.<br />

Factor analysis: an example<br />

Factor analysis, we said earlier, is a way of<br />

determining the nature of underlying patterns<br />

among a large number of variables. It is particularly<br />

appropriate in research where investigators aim to<br />

impose an ‘orderly simplification’ (Child 1970)<br />

upon a number of interrelated measures. We<br />

illustrate the use of factor analysis in a study of<br />

occupational stress among teachers (McCormick<br />

and Solman 1992).<br />

Despite a decade or so of sustained research, the<br />

concept of occupational stress still causes difficulties<br />

for researchers intent upon obtaining objective<br />

measures in such fields as the physiological and<br />

the behavioural, because of the wide range of individual<br />

differences. Moreover, subjective measures<br />

such as self-reports, by their very nature, raise questions<br />

about the external validation of respondents’<br />

revelations. This latter difficulty notwithstanding,<br />

McCormick and Solman (1992) chose the<br />

methodology of self-report as the way into the<br />

problem, dichotomizing it into, first, the teacher’s<br />

view of self, and second, the external world as it is<br />

seen to impinge upon the occupation of teaching.<br />

Stress, according to the researchers, is considered<br />

as ‘an unpleasant and unwelcome emotion’ whose<br />

negative effect for many is ‘associated with illness<br />

of varying degree’ (McCormick and Solman<br />

1992). They began their study on the basis of the<br />

following premises:<br />

<br />

<br />

Occupational stress is an undesirable and<br />

negative response to occupational experiences.<br />

To be responsible for one’s own occupational<br />

stress can indicate a personal failing.<br />

Drawing on attribution theory, McCormick and<br />

Solman (1992) consider that the idea of blame is<br />

akeyelementinaframeworkfortheexploration<br />

of occupational stress. The notion of blame for<br />

occupational stress, they assert, fits in well with<br />

tenets of attribution theory, particularly in terms<br />

of attribution of responsibility having a selfserving<br />

bias. 2 Taken in concert with organizational<br />

facets of schools, the researchers hypothesized<br />

that teachers would ‘externalize responsibility<br />

for their stress increasingly to increasingly<br />

distant and identifiable domains’ (McCormick and<br />

Solman 1992). Their selection of dependent and<br />

independent variables in the research followed<br />

directly from this major hypothesis.<br />

McCormick and Solman (1992) developed a<br />

questionnaire instrument that included 32 items<br />

to do with occupational satisfaction. These were

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