What is Spearman Brown reliability index?

Category: education standardized testing
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The Spearman-Brown Formula (also called the Spearman-Brown Prophecy Formula) is a measure of test reliability. It's usually used when the length of a test is changed and you want to see if reliability has increased. The formula is: rkk = k(r11) / [1 + (k – 1)* r11]



Thereof, what does the Spearman Brown formula do?

The SpearmanBrown prediction formula, also known as the SpearmanBrown prophecy formula, is a formula relating psychometric reliability to test length and used by psychometricians to predict the reliability of a test after changing the test length.

Furthermore, what is considered a good reliability coefficient? The closer each respondent's scores are on T1 and T2, the more reliable the test measure (and the higher the coefficient of stability will be). Between 0.9 and 0.8: good reliability. Between 0.8 and 0.7: acceptable reliability. Between 0.7 and 0.6: questionable reliability.

Also to know, what is reliability index?

Item reliability is simply the product of the standard deviation of item scores and a correlational discrimination index (Item-Total Correlation Discrimination in the Item Analysis Report). So item reliability reflects how much the item is contributing to total score variance.

How do you determine reliability?

Correlate the test scores of the two administrations of the same test. – Parallel Forms Reliability: Determines how comparable are two different versions of the same measure. To calculate: Administer the two tests to the same participants within a short period of time. Correlate the test scores of the two tests.

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How do you use the Spearman Brown prophecy formula?

Spearman-Brown Formula
  1. rkk = reliability of a test “k” times as long as the original test,
  2. r11 = reliability of the original test(e.g. Cronbach's Alpha),
  3. k = factor by which the length of the test is changed. To find k, divide the number of items on the original test by the number of items on the new test.

What is a good Cronbach's alpha?

The general rule of thumb is that a Cronbach's alpha of . 70 and above is good, . 80 and above is better, and . 90 and above is best.

What is parallel forms reliability?

Parallel forms reliability can help you test constructs. Parallel forms reliability (also called equivalent forms reliability) uses one set of questions divided into two equivalent sets (“forms”), where both sets contain questions that measure the same construct, knowledge or skill.

How do you calculate Cronbach alpha?

Cronbach's alpha, α (or coefficient alpha), developed by Lee Cronbach in 1951, measures reliability, or internal consistency.

Cronbach's Alpha Formula
  1. N = the number of items.
  2. c¯ = average covariance between item-pairs.
  3. v¯ = average variance.

How do you do split half reliability in SPSS?


Split-half coefficients
  1. To compute the split-half coefficients, recall the Reliability Analysis dialog box. Figure 1.
  2. Select Split-half as the model.
  3. Click Statistics. Figure 2.
  4. Select Scale in the Descriptives for group and deselect Item and Correlations.
  5. Click Continue.
  6. Click OK in the Reliability Analysis dialog box.

How do you rank Spearman correlation?

Spearman Rank Correlation: Worked Example (No Tied Ranks)
  1. The formula for the Spearman rank correlation coefficient when there are no tied ranks is:
  2. Step 1: Find the ranks for each individual subject.
  3. Step 2: Add a third column, d, to your data.
  4. Step 5: Insert the values into the formula.

What is KR 20 reliability coefficient?

In psychometrics, the Kuder–Richardson Formula 20 (KR-20), first published in 1937, is a measure of internal consistency reliability for measures with dichotomous choices. It was developed by Kuder and Richardson. It is often claimed that a high KR-20 coefficient (e.g., > 0.90) indicates a homogeneous test.

What are the 3 types of reliability?

Reliability. Reliability refers to the consistency of a measure. Psychologists consider three types of consistency: over time (test-retest reliability), across items (internal consistency), and across different researchers (inter-rater reliability).

How reliability is measured?

Reliability and Validity. Reliability is the degree to which an assessment tool produces stable and consistent results. Test-retest reliability is a measure of reliability obtained by administering the same test twice over a period of time to a group of individuals.

What is an example of reliable?


adjective. The definition of reliable is dependable or capable of being trusted. An example of reliable is a punctual mail carrier. YourDictionary definition and usage example.

Which brand of vehicle is the most reliable?

Hyundai Motor Group took the top three spots with its Genesis, Kia, and Hyundai brands for the second year in a row. Ford and Toyota each had two brands make the top-10. These are the 10 most reliable automotive brands, based on their number of reported problems per 100 vehicles.

What does Saifi mean?

System Average Interruption Frequency Index

What is a good KR 20 score?

The scores for KR-20 range from 0 to 1, where 0 is no reliability and 1 is perfect reliability. The closer the score is to 1, the more reliable the test. Just what constitites an “acceptable” KR-20 score depends on the type of test. In general, a score of above .

What is a good discrimination index?

The index is represented as a fraction and varies between -1 to 1. Optimally an item should have a positive discrimination index of at least 0.2, which indicates that high scorers have a high probability of answering correctly and low scorers have a low probability of answering correctly.

How do you analyze an item?


To conduct item analysis, you follow the steps below:
  1. After scoring students' tests, rank them from the highest to lowest scores.
  2. Keep ten tests with the highest scores in one group.
  3. Keep ten tests with the lowest scores in another group.
  4. Set aside the rest of the tests because they will not be included in the analysis.

What are most reliable cars?

Here are the top 10 most reliable new cars, according to Consumer Reports:
  • 2020 Toyota Prius.
  • 2020 Lexus GX.
  • 2020 Hyundai Kona.
  • 2020 Mazda CX-3. Reliability Score: 89.
  • 2020 Lexus NX. Reliability Score: 89.
  • 2020 Toyota 4Runner. Reliability Score: 87.
  • 2020 Mazda CX-9. Reliability Score: 87.
  • 2020 Lexus GS. Reliability Score: 87.

Which is more important validity or reliability?

The real difference between reliability and validity is mostly a matter of definition. It is my belief that validity is more important than reliability because if an instrument does not accurately measure what it is supposed to, there is no reason to use it even if it measures consistently (reliably).