STEPS

STatistical Education through Problem Solving:

Psychology Abstracts



* Bullying in Schools

Data are available from a survey questionnaire aimed at determining the nature and scale of the incidence of bullying in schools. Students are invited to examine and interpret the responses from children. Attention is focused on how common bullying is, who does it to whom and what other factors are involved. Techniques include the presentation of response frequencies using bar charts and the cross-tabulation of data in different categories, into contingency tables. Ideas of significance are illustrated in animated fashion. The chi-squared test is used to investigate whether there is association between responses to different questions.

* Exploring Dyslexia

Data are obtained on pre-school children and follow up tests three years later. Scores from 34 children at nursery school were obtained in a variety of tests of vocabulary, motor skills, knowledge of prepositions and use of rhyming. At age 7 these same 34 children were given a reading test and their reading ages compared with chronological ages to classify them into 'poor' readers and 'normal' readers. A comparison is made of the distribution of 'poor' readers within the overall distribution and directly with 'normal' readers using stem and leaf diagrams, histograms, box plots, means, hinges (quartiles), interquartile ranges and standard deviations. In this way, we try to identify which, if any, of the tests might be used as predictors of poor reading ability. This in turn is a possible indication of potential dyslexia.

* Predicting Dyslexia?

The background is the same as for 'Exploring Dyslexia'. Only the tests identified as possible predictors are used. A suitable measure of reading deficit at age 7 is Reading Age - Chronological Age in months. We have called this Reading Age Deficiency (RAD). Correlation and regression techniques are used to see how well any of the tests at age 4 predict RAD at age 7.

As in the module 'Exploring Dyslexia', poor reading ability is taken as an indication of potential dyslexia.

* Head Injury

What are the important characteristics of speech in head-injured patients that lead to misunderstanding in the hearer? Subjective ratings of clarity and content are made by professional and untrained judges. Twenty head injured and twenty matched control subjects took part in the study. Can we use the untrained judges instead of the professionals? Do the subjective measures differentiate between the patients and the controls? Can we use the subjective measures instead of objective measures? If we can, then we can save a lot of time and money. This problem is used to introduce looking at measures of difference and the paired t-test of significance. A possible extension is to use an appropriate non-parametric test if the underlying assumptions behind t seem to be invalid.

* Spatial Memory

Our researcher is interested in discovering whether the elderly and the young differ in the accuracy with which they can recall spatial position on a small scale. Participants inspected an array of 18 different objects on a 10 x 10 board. The objects were removed and the participants had to replace them in the same places. There were 22 elderly and 16 young participants. Data measured were: time spent inspecting; percentage of objects correctly replaced; own estimate of percentage control; 'city block' error between target positions and actual positions. After discussion about what is an appropriate measure, the percentage of objects correct and the city block error are used to test between the two groups. Two sample t-test is introduced. (Possible to use non-parametric test as well).