A test having 20 items has a reliability coefficient of 0.60. If 80 more similar items are added, the new reliability coefficient would be
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Question
A test having 20 items has a reliability coefficient of 0.60. If 80 more similar items are added, the new reliability coefficient would be :
This question was previously asked in
UGC NET Paper 2: Education July 2018
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0.81
0.86
0.88
0.92
Answer (Detailed Solution Below)
Option 3 : 0.88
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Official Paper 1: Held on 24 Sep 2020 Shift 1
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Detailed Solution
Reliability: is the state of being consistent or reliable. It is the overall consistency of the test. A test is reliable if different trials give same results or different parts of the test give the same results.
The reliability coefficient is a numerical term used to show how reliable the test is.
Given: Reliability coefficient (r) = 0.60, no of items = 20, new no of items = 20 + 80 = 100
To find: New reliability coefficient
Formula: Reliability coefficient (rn) =
rn = new reliability coefficient
r = old reliability coefficient
n = ratio of new and old no. of items = 100/20 = 5
Calculation:
Reliability coefficient (rn) =
Reliability coefficient (rn) =
Reliability coefficient (rn) =
Reliability coefficient (rn) = 3/3.4
Reliability coefficient (rn) = 0.882 = 0.88 approxHence, A test having 20 items has a reliability coefficient of 0.60. If 80 more similar items are added, the new reliability coefficient would be 0.88.
Additional Information
Types of reliability tests:
Test-retest reliability:
Test-retest reliability measures the consistency of results when you repeat the same test on the same sample at a different point in time.
This is used to measure attributes/traits or characteristics that are expected to stay constant in the sample.
Smaller the difference between the two results, the higher the test-retest reliability. For e.g. A test of personality
Interrater reliability: Internal consistency assesses the correlation between multiple items in a test that are intended to measure the same construct.