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Item analysis is a process which examines student responses to individual test items ... The formula for calculating the difficulty value of an item is ...
Typology: Lecture notes
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What is item analysis?
Need of the Item Analysis: Following are the needs of a test:
To achieve the above objectives a test need to have the appropriate items so that the test can differentiate the individuals in different categories like superior, average and inferior. Therefore for selecting the appropriate items for the final form of the test following may be the objectives of the item analysis:
Therefore we can say that the following may be the functions of Item Analysis:
Following three functions are the main functions of Item Analysis:
Characteristics of an item:
There are two main characteristics of an item
“The difficulty value of an item is defined as the proportion or percentage of the examinee’s who answer the item correctly”
Discriminating power further can be divided into two parts
Dichotomization: It is the process of forming higher score group and lower score group as per the Kelly’s Method. On the basis of obtained scores we have to consider only the top and bottom percentage in any of the following manner:
From the above, the third one (Kelly’s Method of dichotomization) is the most promising one.
Difficulty Value: Guilford defined Difficulty Value as:
The formula for calculating the difficulty value of an item is
The formula for calculating the Difficulty Value if there are some examinees are such that they are not giving any response to an item
Discrimination Index: Blood and Budd defined the Discrimination Index as:
Following are the types of Discrimination Index:
The formula for the determination of the value of Discrimination Index is given as:
According to Ebel the following criterion are looking important for the selection of an appropriate item in the light of its Discriminating Index and Difficulty Index:
How are the Difficulty Value and Discrimination Power related?
Criterion for the selection of appropriate item for the final form of the test