Which of the following statements about reliability of a test are correct? (i) Reliability is fixed for a given test. (ii) It is a correlation of the test with itself. (iii) It varies from sample to sample. (iv) it is not affected by the size of the sample (v) High reliability ensures high validity
(ii) and (iii)
Test reliability refers to the consistency of a measure. A reliable test produces similar results under consistent conditions. It indicates the extent to which scores are free from random error.
Let's examine each statement provided about the reliability of a test:
Statement (i): Reliability is fixed for a given test.
This statement is incorrect. Reliability is not a static property of the test itself. Instead, it is a characteristic of the scores obtained from a specific group of people under particular conditions. Reliability can vary depending on the sample being tested, the testing environment, and other factors.
Statement (ii): It is a correlation of the test with itself.
This statement is correct. Conceptually, reliability can be understood as the correlation between scores on two equivalent forms of a test, or between scores on the same test administered at two different times (test-retest reliability), or between different parts of the same test (internal consistency reliability). Various reliability coefficients (like Cronbach's alpha, split-half reliability, test-retest correlation) are essentially forms of correlation coefficients that estimate this consistency.
Statement (iii): It varies from sample to sample.
This statement is correct. Reliability coefficients are estimates based on sample data. Different samples drawn from the same population, or samples from different populations, will likely yield different reliability estimates for the same test. Factors like the variability of scores within the sample can significantly influence reliability.
Statement (iv): It is not affected by the size of the sample.
This statement is incorrect. While the underlying reliability of scores in a population doesn't *fundamentally* change with sample size, the precision and stability of the *estimate* of reliability obtained from a sample are affected by sample size. Larger samples generally provide more stable and accurate estimates of reliability compared to smaller samples.
Statement (v): High reliability ensures high validity.
This statement is incorrect. Reliability is a necessary condition for validity, but it is not sufficient. A test can be highly reliable (consistently measure something), but consistently measure the wrong thing (be invalid). For example, a faulty scale might consistently report a weight that is 5 kg too high (reliable but invalid). Validity, on the other hand, refers to whether the test measures what it is intended to measure.
Based on the analysis, the correct statements about the reliability of a test are (ii) "It is a correlation of the test with itself" and (iii) "It varies from sample to sample".
| Statement | Correctness | Reason |
|---|---|---|
| (i) Reliability is fixed for a given test. | Incorrect | Reliability depends on the sample and conditions. |
| (ii) It is a correlation of the test with itself. | Correct | Reliability measures consistency, often expressed as a correlation. |
| (iii) It varies from sample to sample. | Correct | Reliability is sample-dependent. |
| (iv) It is not affected by the size of the sample. | Incorrect | Sample size affects the precision of the reliability estimate. |
| (v) High reliability ensures high validity. | Incorrect | Reliability is necessary but not sufficient for validity. |
| Concept | Description |
|---|---|
| Reliability | Consistency of measurement; extent to which scores are free from random error. |
| Conceptual Basis | Often understood as the correlation of a test with itself or a parallel form. |
| Sample Dependence | Reliability estimates vary across different samples. |
| Relationship with Validity | Reliability is a prerequisite for validity, but not a guarantee of it. |
Several factors can influence the reliability of test scores:
Understanding these factors is crucial for interpreting and improving test reliability in various contexts.
If a sample survey of the same 100 households is conducted in a particular village, annually for five years, the data so collected will be described as :
The element that differentiates between stratified and quota sampling techniques is
List I contains the characteristics of a validity measure and List II the type of validity. Match List I and List II and choose the correct answer from the code given below.
List I (Characteristic of validity measure) | List II (Type of validity) | ||
(a) | Measure of product or performance | (i) | Content validity |
(b) | Measure of unobservable psychological entity | (ii) | Predictive validity |
(c) | Measure of representation of substantive knowledge structure | (iii) | Concurrent validity |
(d) | Extent of agreement between two measures | (iv) | Construct validity |
Which of the following techniques is NOT covered under non-probability sampling?
Identify from the list of characteristics given below these which are related to a good hypothesis in a research:
a) Simplicity of explanation
b) Plausibility of explanation
c) Highly difficult to verify the postulated relations
d) Not related to an existing theory
e) Relationship formulated among variables having conceptual clarity
Choose the most appropriate answer from the options given below: