Reviews

Pat Sadler, Hiroshima Shudo University, The Caring Child by Nancy Eisenberg. Cambridge, Mass, and London: Harvard University Press, 1992, hb ISBN 0 674 09725 4, pb ISBN 0 674 09726 2, US$8.95

Garry Hornby, University of Hull, Youth in Trouble: Educational Responses, by J. F. Schostak. London: Kogan Page, 1991. 192pp., pb. ISBN 0 7494 0372 1, np

Gordon Dimmock, Harold Hill Community School, Havering, ‘Some Way to Go’: A Pilot Study on the Appraisal of Educational Resources on Leaving Home and Homelessness, Leaving Home Project. London: Information Services Charity Limited, 1987. 56pp., £4.95

Gordon Dimmock, Harold Hill Community School, Havering, Experimental Project. Final Report, Leaving Home Project. London: Information Services Charity Limited, 1991. 30pp., £6

Gordon Dimmock, Harold Hill Community School, Havering, ‘Making the Break’: Choices and Decisions Facing Young People Leaving Home, by Philip Hope, edited by Catherine ByGott. London: CSV Advisory Service and Leaving Home Project, 1989. 157pp. plus VHS video ‘Cutting Loose’, 20 min., CSV, 1988. ISBN 0 907829 57 0, £28.25+£2.40 p. & p.

Don Baines, Anglia Polytechnic University, Teacher Training in Secondary Schools, by Rowie Shaw. London: Kogan Page Limited, 1992. 162pp., pb ISBN 0 7494 0637 2, £14.95

Gill Collins, Sovereign Centre Tutorial Unit, Issues: A Cross-Curricular Course for PSE, by John Foster. Hammersmith: Collins Educational, 1992. Pupil Book One, ISBN 0 00 327334 2, £4.95; Teachers Resources One, ISBN 0 00 327339 3, £7.25; Pupil Book Two, ISBN 0 00 327335 0, £4.95; Teachers Resources Two, ISBN 0 00 327340 7, £7.25; Pupil Book Three, ISBN 0 00 327336 9, £4.95; Teachers Resources Three, ISBN 0 00 3273415, £7.25; Pupil Book Four, ISBN 0 00 327337 7, £5.50; Teachers Resources Four, ISBN 0 00 327342 3, £7.95; Pupil Book Five, ISBN 0 00 327338 5, £5.50; Teachers Resources Five, ISBN 0 00 327343 1, £7.95     

Statistical methods for analysing discrete and categorical data recorded in performance analysis

In this paper, we identify appropriate statistical methods for analysing categorical differences in discrete variables or 'performance indicators' resulting from performance analysis. The random mechanisms associated with discrete events do not follow a normal distribution; that is, the normal distribution is a continuous not a discrete probability distribution. We propose appropriate statistical methods based on two key discrete probability distributions, the Poisson and binomial distributions. Two approaches are proposed and compared using examples from notational analysis. The first approach is based on the classic chi-square test of significance (both the goodness-of-fit test and the test of independence). The second approach adopts a more contemporary method based on log-linear and logit models fitted using the statistical software GLIM. Provided relatively simple one-way and two-way comparisons in categorical data are required, both of these approaches result in very similar conclusions. However, as soon as more complex models or higher-order comparisons are required, the approach based on log-linear and logit models is shown to be more effective. Indeed, when investigating those factors and categorical differences associated with binomial or binary response variables, such as the proportion of winners when attempting decisive shots in squash or the proportion of goals scored from all shots in association football, logit models become the only realistic method available. By applying log-linear and logit models to discrete events resulting from notational analysis, greater insight into the underlying mechanisms associated with sport performance can be achieved.