Concept Sorting and the Repertory Grid

  1. Outline
  2. Concept Sorting
  3. Personal Construct Theory
  4. The Repertory Grid Technique
  5. Strengths and Weaknesses
Reading:

Hart, A., 1992 Knowledge Acquisition for Expert Systems.Kogan Page.

Kelly G.A., 1955, A Brief Introduction to Personal Construct Theory.

Rugg, G and McGeorge, P, 1997, The sorting techniques: a tutorial paper, Expert Systems, 14(2): 80-93.


Outline

Concept sorting is one of the most common and straightfoward methods of knowledge elicitation. The technique is based on using number of items or objects that occur in the domain of interest and comparing and contrasting these things to elicit more abstract concepts that identify and conceptually organize these items.

We will use The Repertory Grid Technique to demonstrate concept sorting. This method was developed by psychologist George Kelly and is based on his 'Theory of Personal Constructs'. The theory and technique assume some sort of resprentational theory of mind and are psychological in their orientation towards knowledge. We will therefore briefly look at the basic idea behind concept sorting as well as Kelly's theory before considering the technique in more detail.

In the tutorial there will be the opportunity to experiment with this method.


Concept Sorting


Personal Construct Theory

Personal Construct Psychology is a way of looking at the world. The founder, George Kelly, presents a theory that gives an account of how people experience the world and make sense of that experience.

The key message of the Personal Construction Theory is that the world is 'perceived' by a person in terms of whatever 'meaning' that person applies to it and the person has the freedom to choose a different 'meaning' of whatever he or she wants. In other words, the person has the 'freedom to choose' the meaning that one prefers or likes. He called this alternative constructivism: the person is capable of applying alternative constructions (meanings) to any events in the past, present or future.

PCT attempts to explain "Why man does what he does" (Kelly 1955). It is a theory about "how the human process flows, how it strives in new directions as well as in old, and how it may dare for the first time to reach into the depths of newly perceived dimensions."

"The person's processes are psychologically channelized by the ways in which he anticipate events". The subject is the process... the individual is essentially a behaving organism and doesn't need an external 'push' or 'pull' to get into motion. The processes include those of our self-definition and our relationships with others, as well as the tasks at hand (Kelly 1955).

George Kelly, the original proponent of PCT suggested that PCT is based on the model of man-the-scientist (1955). Within this model,

Kelly called his philosophy constructive alternativism:

"We assume that all of our present interpretations of the universe are subject to revision or replacement...
There are always some alternative constructions available to choose among in dealing with the world."

Thus he asserted that reality does not reveal itself to us directly, but can be construed in a variety of ways.

Constructs are the way in which things ore people are either similar or different. A construct thus simultaneously differentiates and integrates.

To construe is both to abstract from past events, and provide a reference axis for anticipating future events based on that abstraction.

Kelly's notion of a personal scientist assumes that all people actively seek to predict and control events by forming relevant hypotheses, and then testing them against their experience.

Formal Persoanl Construct Theory comprises 11 corollaries that extend its fundamental postulate: "A person's processes are psychologically channelized by the ways in which he anticipates events." Thus all our representational processes are essentially anticipatory.

Kelly also assumes a contrast between individual reality, social reality and shared reality:

Over the last 40 years, the theory has found its home in the areas of artificial intelligence, education, human computer interaction, and human learning, and is gradually gaining ground in the sociological disciplines. Of particular interest is the emphasis of the theory that communality (the social reality) and individuality (the personal reality) need to be considered together for developing an understanding of the psychological processes.


The Repertory Grid Technique

"A repertory grid is a two-way classification of data in which events are interlaced with abstractions in such a way as to express part of a person's system of cross-reference between his personal observations or experience of the world (elements) and his personal constructs or classifications of that experience" (Shaw and Gaines, Future Computing Systems, 1986)

The repertory grid was conceived as a tool for the use with Kelly's personal construct psychology. It has been used by clinicians and educationalists to elicit implicit world-structures which clients do not or cannot verbalize. Knowledge engineers find it useful for the same reasons.

The first step is to identify a small set of elements (objects, entities), the subject is asked to define some constructs (attributes, slots, dimensions), which characterise those elements.

Constructs are usually generated by the triadic method. Three elements are selected and subjects are asked to pick the odd one out and provide an explanation for their choice. This forms the basis of the construct againt which all the elements are ranked.

For example, presented with the task of characterising three different wines, you might choose the elements Cotes du Rhones, Lambrusco and Liebfraumilch, with the constructs sweetness, colour, and effervescence. The left and right poles for each of these constructs are defined as dry/sweet, red/white, and still/sparkling. It is sensible to define scales for these constructs because there are wines with intermediate values for each of them.

The values associated with the constructs for the three wines are:

SWEETNESS COLOUR EFFERVESCENCE
Cotes du Rhonesdryredstill
Lambruscomediumwhitesparkling
Liebfraumilchmediumwhitestill

However, we can generalize these constructs across the whole domain by giving them ordinal values whereby a low number characterizes one dimension, and a high number the other dimension. In this way constructs can be used to describe the whole domain. Eg,

DRY WHITE SPARKLING
Cotes du Rhones155
Lambrusco411
Liebfraumilch515
Rioja155
Chardonay215
SWEET RED STILL

A low ranking is highly associated with the left dimension, high ranking with the right.

The mid point can be either equidistant between the two or irrelevant to the construct.

And we can continue to elicit constructs to discriminate and classify the elements :

(Graphic supplied by Webgrid)

From the grid we can build a dendogram to show the classifications more clearly, and also identify more abstract classes implied by the elicitation. Note the simplicity of the denogram shows how little I know about wine.


Strengths and Weaknesses

Advantages

Problems


Tutorial

Rob Stephens