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Item Analysis
Stage of test development and statistical procedure to analyze items and evaluate test items
Item
Suggests a sample of behavior of an individual
Table of Specification
A blueprint of the test in terms of number of items per difficulty, topic importance, or taxonomy
Item-Difficulty Index
Index obtained by calculating the proportion of the total number of test takers who answered correctly. 0-1 The higher the value, the easier the question
Item Endorsement Index
Statistics that provides, not a measure of of the percent of people passing the item but a measure of the percent of people who said yes to, agreed with, or otherwise endorsed the item
P = R/T
Formula for the Item-Difficulty Index
Very Difficult
Level of Difficulty of 0.00-0.19
Difficult
Level of Difficulty of 0.20 - 0.39
Average
Level of Difficulty of 0.40 - 0.60
Easy
Level of Difficulty of 0.61 - 0.79
Very Easy
Level of Difficulty of 0.8 - 1.00
Optimal Level of Item Difficulty (Optimal Difficulty)
Refers to the ideal level of difficulty for the questions on a test or assessment, designed to maximize the effectiveness and quality of the test
P = 1+c/2
Formula for the Optimal Level of Difficulty
Should be roughly midway between the chance score and a perfect score
General Principle of Item-Difficulty
Chance Score
The proportion of correct answers expected if test-takers were simply guessing
1/4 , 1/5
What is the chance score for a 4-option and 5-option multiple choice?
Perfect Score
1.0 (or 100% correct
Slightly higher than midway between the chance score and 1.0
What is the ideal difficulty for a multiple choice item?
Item-Reliability Index
Index that indicates the internal consistency of a test
May have limited applicability
Internal consistency of an item reliability index of 0.69 & below
Adequate
Internal consistency of an item reliability index of 0.70-0.79
Good
Internal consistency of an item reliability index of 0.80-0.89
Excellent
Internal consistency of an item reliability index of 0.90 & above
Item-Validity Index
Index designed to provide an indication of the degree to which a test is measuring what it purports to measure. The greater it is, the greater the criterion-related validity
Unlikely to be useful
Interpretation of a Validity Coefficient of Below 0.11
Varies on the circumstances
Interpretation of a Validity Coefficient of 0.11-0.20
Likely to be useful
Interpretation of a Validity Coefficient of 0.21-0.35
Very beneficial
Interpretation of a Validity Coefficient of above 0.35
Item-Discrimination Index
Index that indicates how adequately an item separates (discriminate) between high scores and low scores on an entire test
D = Rh - Rl /N
Formula for the Item-Discrimination Index
Poor item
Verbal Description of an Item-Discrimination Index of 0.09-0.019
Fair item
Verbal Description of an Item-Discrimination Index of 0.20-0.29
Good item
Verbal Description of an Item-Discrimination Index of 0.30-0.39
Very Good item
Verbal Description of an Item-Discrimination Index of 0.40 & above
Item Characteristic Curves
Graphic representation of item difficulty and discrimination. The steeper the shape, the greater the item discrimination
Item Fairness
The degree, if any, a test item is biased
Biased Test Items
An item that favors one particular group of examiners in relation to another when differences in group ability are controlled
Speed Test
Item analyses of tests taken under speed conditions yield misleading or uninterpretable results. The closer an item is to end of test, the more difficult it may appear to be
Qualitative Item Analysis
General term for various nonstatistical procedures designed to explore how individual test items work
“Think Aloud” Test Administration
Designed to shed light on the test taker's thought processes during the administration of test
Extra Panels
Panel members met with the publisher to obtain an understanding of the history and philosophy of test battery and to discuss and define the problem of bias