Available online
Description
The programme demonstrates the statistical modelling of two real-life problems and shows how these models fall in the category of the General Linear Model.
The programme demonstrates the statistical modelling of two real-life problems and shows how these models fall in the category of the General Linear Model.
| Module code and title: | M341, Fundamentals of statistical inference |
|---|---|
| Item code: | M341; 07 |
| First transmission date: | 15-09-1977 |
| Published: | 1977 |
| Rights Statement: | |
| Restrictions on use: | |
| Duration: | 00:24:16 |
| + Show more... | |
| Producer: | David Saunders |
| Contributors: | Bob Coates; Adrian Smith |
| Publisher: | BBC Open University |
| Keyword(s): | Barbara Castle; Breath tests; Least squares; Linear model; Piglets; Pigs; Regression; Variance |
| Footage description: | Film shots of Barbara Castle during a speech outlining the law which introduced breath tests for drivers. Film shots of a driver being stopped by police and asked to take a breath test. Adrian Smith introduces the programme. He points out a graph from a report published by the Medical Research Council which shows a progressive relationship between driving errors and intake of alcohol. He then demonstrates a driving simulator of the type used to obtain data for this graph. Smith goes on to outline details of the experiment above and explains how the curve shown in the report above was arrived at. Smith, using still graphics and an animated graph, questions the significance of the results obtained above and suggests a way, testing for variations of thetas, which will check this. Smith goes through the model once more in order to demonstrate that the inferences made depend on the initial model chosen. Film shots of young pigs. Bob Coates shows an animated graph which plots growth rate of piglets over the first few weeks of life. Shots of piglets being weighed. Data collected in the 1930's from experiments studying pig growth is shown plotted on a scatter diagram. Bob Coates explains how the best straight line through these points is obtained. Coates goes on to explain how three separate straight lines are obtained when working with data from three different breeds of pig. These are plotted on a single scatter diagram. Coates then shows how this more complex statistical situation is represented in mathematical terms. Adrian Smith explains that although the two problems above appear different, they can both be expressed in the form of the general linear model. He uses matrices for the simple models of the two problems examined in the programme to illustrate his points. Smith suggests, briefly, another application of the general linear model for the piglet data above and then sums up the programme. |
| Master spool number: | 6HT/72521 |
| Production number: | 00525_4236 |
| Videofinder number: | 1118 |
| Available to public: | no |
