Back
0

Item Response Theory

Description: Item Response Theory (IRT) is a psychometric theory that describes the relationship between the probability of a person answering an item correctly and the person's ability level. IRT is used in the development and evaluation of educational and psychological tests.
Number of Questions: 15
Created by:
Tags: item response theory psychometrics educational measurement
Start the Quiz
Attempted 0/15 Correct 0 Score 0
‹
›

Which of the following is a key assumption of Item Response Theory?

  1. The probability of a person answering an item correctly is independent of the other items on the test.

  2. The probability of a person answering an item correctly is determined solely by their ability level.

  3. The probability of a person answering an item correctly is the same for all items on the test.

  4. The probability of a person answering an item correctly is determined by their ability level and the difficulty of the item.

Show answer
Correct Option: D
Explanation:

IRT assumes that the probability of a person answering an item correctly is determined by their ability level and the difficulty of the item. This means that a person with a higher ability level is more likely to answer a difficult item correctly than a person with a lower ability level.

What is the relationship between the item characteristic curve (ICC) and the item difficulty?

  1. The ICC is a plot of the probability of a person answering an item correctly against the person's ability level.

  2. The ICC is a plot of the difficulty of an item against the probability of a person answering it correctly.

  3. The ICC is a plot of the ability level of a person against the probability of answering an item correctly.

  4. The ICC is a plot of the probability of a person answering an item correctly against the difficulty of the item.

Show answer
Correct Option: D
Explanation:

The ICC is a plot of the probability of a person answering an item correctly against the difficulty of the item. The ICC shows how the probability of a person answering an item correctly changes as the difficulty of the item increases.

What is the relationship between the item discrimination parameter and the slope of the ICC?

  1. The item discrimination parameter is equal to the slope of the ICC.

  2. The item discrimination parameter is equal to the negative of the slope of the ICC.

  3. The item discrimination parameter is equal to the square of the slope of the ICC.

  4. The item discrimination parameter is equal to the reciprocal of the slope of the ICC.

Show answer
Correct Option: A
Explanation:

The item discrimination parameter is equal to the slope of the ICC. The slope of the ICC indicates how much the probability of a person answering an item correctly changes as their ability level increases.

What is the relationship between the item difficulty parameter and the x-intercept of the ICC?

  1. The item difficulty parameter is equal to the x-intercept of the ICC.

  2. The item difficulty parameter is equal to the negative of the x-intercept of the ICC.

  3. The item difficulty parameter is equal to the square of the x-intercept of the ICC.

  4. The item difficulty parameter is equal to the reciprocal of the x-intercept of the ICC.

Show answer
Correct Option: A
Explanation:

The item difficulty parameter is equal to the x-intercept of the ICC. The x-intercept of the ICC indicates the ability level at which a person has a 50% chance of answering an item correctly.

What is the relationship between the item guessing parameter and the y-intercept of the ICC?

  1. The item guessing parameter is equal to the y-intercept of the ICC.

  2. The item guessing parameter is equal to the negative of the y-intercept of the ICC.

  3. The item guessing parameter is equal to the square of the y-intercept of the ICC.

  4. The item guessing parameter is equal to the reciprocal of the y-intercept of the ICC.

Show answer
Correct Option: A
Explanation:

The item guessing parameter is equal to the y-intercept of the ICC. The y-intercept of the ICC indicates the probability of a person answering an item correctly when their ability level is zero.

Which of the following is a type of IRT model?

  1. One-parameter logistic model (1PL)

  2. Two-parameter logistic model (2PL)

  3. Three-parameter logistic model (3PL)

  4. All of the above

Show answer
Correct Option: D
Explanation:

All of the above are types of IRT models. The 1PL model assumes that all items have the same discrimination parameter, the 2PL model assumes that all items have the same guessing parameter, and the 3PL model allows for different discrimination and guessing parameters for each item.

Which of the following is a method for estimating item parameters in IRT?

  1. Maximum likelihood estimation (MLE)

  2. Bayesian estimation

  3. Method of moments

  4. All of the above

Show answer
Correct Option: D
Explanation:

All of the above are methods for estimating item parameters in IRT. MLE is the most commonly used method, but Bayesian estimation and the method of moments are also used.

Which of the following is a use of IRT?

  1. Developing educational tests

  2. Evaluating psychological tests

  3. Calibrating test scores

  4. All of the above

Show answer
Correct Option: D
Explanation:

All of the above are uses of IRT. IRT is used to develop educational tests that are fair and accurate, to evaluate psychological tests to ensure that they are valid and reliable, and to calibrate test scores so that they are comparable across different tests.

Which of the following is an advantage of IRT?

  1. IRT provides a more accurate estimate of a person's ability level than classical test theory.

  2. IRT can be used to develop tests that are more fair and accurate.

  3. IRT can be used to evaluate the validity and reliability of tests.

  4. All of the above

Show answer
Correct Option: D
Explanation:

All of the above are advantages of IRT. IRT provides a more accurate estimate of a person's ability level than classical test theory because it takes into account the difficulty of the items on the test. IRT can be used to develop tests that are more fair and accurate because it allows for different item formats and difficulty levels. IRT can be used to evaluate the validity and reliability of tests because it provides information about the relationship between the items on the test and the ability level of the people who take the test.

Which of the following is a disadvantage of IRT?

  1. IRT is more complex than classical test theory.

  2. IRT requires more data than classical test theory.

  3. IRT is more expensive than classical test theory.

  4. All of the above

Show answer
Correct Option: D
Explanation:

All of the above are disadvantages of IRT. IRT is more complex than classical test theory because it requires more statistical knowledge to understand and apply. IRT requires more data than classical test theory because it is necessary to estimate the item parameters for each item on the test. IRT is more expensive than classical test theory because it requires more time and resources to develop and administer tests.

What is the relationship between the item characteristic curve (ICC) and the test characteristic curve (TCC)?

  1. The TCC is the sum of the ICCs for all items on the test.

  2. The TCC is the average of the ICCs for all items on the test.

  3. The TCC is the product of the ICCs for all items on the test.

  4. The TCC is the reciprocal of the ICCs for all items on the test.

Show answer
Correct Option: A
Explanation:

The TCC is the sum of the ICCs for all items on the test. The TCC shows how the probability of a person answering a test correctly changes as their ability level increases.

What is the relationship between the test information function (TIF) and the TCC?

  1. The TIF is the derivative of the TCC.

  2. The TIF is the integral of the TCC.

  3. The TIF is the square of the TCC.

  4. The TIF is the reciprocal of the TCC.

Show answer
Correct Option: A
Explanation:

The TIF is the derivative of the TCC. The TIF shows how the amount of information that a test provides about a person's ability level changes as their ability level increases.

What is the relationship between the standard error of measurement (SEM) and the TIF?

  1. The SEM is the reciprocal of the TIF.

  2. The SEM is the square root of the TIF.

  3. The SEM is the integral of the TIF.

  4. The SEM is the derivative of the TIF.

Show answer
Correct Option: A
Explanation:

The SEM is the reciprocal of the TIF. The SEM shows how much a person's test score is likely to vary from their true ability level.

What is the relationship between the reliability of a test and the SEM?

  1. The reliability of a test is equal to the square of the SEM.

  2. The reliability of a test is equal to the reciprocal of the SEM.

  3. The reliability of a test is equal to the square root of the SEM.

  4. The reliability of a test is equal to the integral of the SEM.

Show answer
Correct Option: A
Explanation:

The reliability of a test is equal to the square of the SEM. The reliability of a test shows how consistent a person's test score is over time or across different tests.

What is the relationship between the validity of a test and the reliability of a test?

  1. The validity of a test is equal to the square of the reliability of a test.

  2. The validity of a test is equal to the reciprocal of the reliability of a test.

  3. The validity of a test is equal to the square root of the reliability of a test.

  4. The validity of a test is equal to the integral of the reliability of a test.

Show answer
Correct Option:
Explanation:

The validity of a test is not necessarily related to the reliability of a test. A test can be reliable without being valid, and a test can be valid without being reliable.

- Hide questions
ADVERTISEMENT

Find more quizzes from top tags

general knowledge
3615 Quizzes
119858 Questions
 technology
307 Quizzes
36705 Questions
 sports
963 Quizzes
19148 Questions
 history
1187 Quizzes
13475 Questions
 physics
598 Quizzes
13441 Questions
 biology
1160 Quizzes
12174 Questions
 science & technology
551 Quizzes
11015 Questions
 chemistry
490 Quizzes
9892 Questions
 maths
518 Quizzes
9324 Questions
 softskills
0 Quizzes
7131 Questions