# Dimensions

Utilizing dimensions in scoring

Created by Mustafa Ekim

The test report provides an automatic evaluation of the test-taker's overall performance, as well as their performance in each section and page. However, sections and pages are primarily used for organizing the test from the test-taker's perspective. If you want to measure other aspects of the test-taker's performance independently of the test structure, you can use dimensions.

For example, your test may have two sections, each containing questions that you want to evaluate the test-taker's overall performance on. Dimensions can be particularly useful in such cases.

Dimensions have their own unique calculation criteria and do not have an impact on the scores of a test, section, or page. Instead, they provide an independent evaluation aspect that helps to understand the strengths and weaknesses of the test-taker in various subjects in a structured way.

Dimensions help to evaluate different aspects of the test-taker's performance by assigning questions to specific dimensions.

## What is a dimension?

A dimension of a test is an independent evaluation aspect that allows test-takers to be evaluated in a structured way according to their strengths and weaknesses in various subject areas. Dimensions can be organized in a hierarchical tree structure, with each level representing a more specific aspect of the subject being evaluated. Test questions can be assigned to one or more dimensions, and the resulting scores for each dimension can be used to gain insights into a test-taker's overall performance.

## The dimension tree

The dimensions can be organized in a hierarchical tree structure. The hierarchical structure of the dimension tree enables the evaluation of various aspects of the test-taker in a structured manner.

The dimension tree enables hierarchical evaluation of the test-taker's performance in various aspects of the test, such as Math questions in general, Arithmetic Math questions, and even more specific Addition Arithmetic Math questions.

By constructing a dimension tree and assigning test questions to dimensions, the system can generate test reports that analyze the test-taker's performance for each dimension in a hierarchical manner.

## Example

Suppose your test includes questions on Geography and Mathematics. By assigning each question to its respective dimension, you can generate test reports that evaluate the test-taker's performance in each dimension. Additionally, you can further subdivide each dimension by adding child components. For example, if your Geography questions are focused on either Europe or Asia, you can assign them to either the Geography/Europe or Geography/Asia dimension. This allows the system to provide a more detailed analysis of the test-taker's performance not just in the overall Geography dimension, but in each sub-dimension as well.

## The dimension expression

The dimension expression points to a specific dimension within a tree of dimensions. For instance, "Math/Arithmetic/Addition" refers to the Addition dimension nested within the Arithmetic dimension that, in turn, is nested inside the Math dimension.

You can create a dimension expression by separating the dimensions with "/", indicating their parent-child relationship within the dimension tree. For instance, "Math/Arithmetic/Addition" refers to the "Addition" dimension within the "Arithmetic" dimension, which is a child of the "Math" dimension.

### Examples:

• Programming
• Programming/Object-oriented
• Programming/Object-oriented/Java
• Programming/Object-oriented/Java/v14
• Programming/Object-oriented/Java/v15
• Programming/Object-oriented/CSharp
• Programming/Object-oriented/CSharp/6
• Programming/Object-oriented/CSharp/7

In the dimension expression, it is important to note the parent-child relationship between dimensions. For instance, some questions can be assigned solely to the Programming dimension, which would impact the test-taker's score in the Programming dimension only. However, for more specific programming questions, such as those related to Object-Oriented Programming, you may want to assess the test-taker's performance in this area as well. In this case, you can assign these questions to the Programming/Object-oriented dimension, which would affect both the Programming dimension and the Programming/Object-Oriented dimension.

## Assigning a dimension to a test question

To assign a dimension to a test question, go to the Scoring tab of the question editor and select "Additional point calculations". Then, add the desired dimension either using the dimension expression form or selecting from the pre-defined dimension tree in your definition bank.

## Calculation of dimension points obtained by a test-taker after answering a test-question

When assigning dimensions to a test question, the point value and negative multiplier can be configured for each dimension.

Dimension points are calculated similarly to test points by multiplying the percentage score obtained for a question by the dimension's assigned point value or negative multiplier, depending on whether the percentage score is above or below 0%.

If a test question is assigned to the "Math" dimension with a point value of 2 and a negative multiplier of -1, the Math dimension point is affected based on the percentage score obtained from answering the question. For instance, a percentage score of 100% results in an increase of 2 points (100% x 2) in the Math dimension point, while a percentage score of -50% results in a decrease of 0.5 points (50% x 1).
The generated test report automatically evaluates the test-taker's performance in each dimension within a tree structure. You can navigate through the items of the tree to observe the performance in each dimension.

## Storing the dimension tree inside the definition bank

Multiple dimension trees can be created and stored in the Definition bank to provide a centralized location for dimension definitions. This eliminates the need to rewrite the dimension definition each time a question is assigned to a dimension.

While it is not mandatory, it is recommended to store your dimension definitions in a central location to avoid errors that may arise from free-form writing.

### Accessing the definition bank

To access your dimension definitions, go to your Question bank and click on the Menu icon located at the top right of the page. From there, select the Definitions option.

You will be presented with a list of definition banks.

### Creating a new definition bank

You can click on the red plus icon to at the bottom right of the page to create a new definition bank.

### Sections of the definition bank

The purpose of the definition bank is to store all your dimensions and effect definitions in one central location. You can access the Dimensions tab to create or edit your dimension tree.

### Creating a dimension tree

You can build your dimension tree by adding items and establishing parent-child relationships between them. This can be done by adding an item under another dimension to create a hierarchy.