Discussion
Which of the following factors are responsible for the E-size of the sample in sampling schemes ?
(i) Precision of the estimates required is an important factor in determining the size of a sample
(ii) For greater precision, usually a larger sample is preferred
(iii) For greater precision usually a smaller sample is preferred
(iv) More is the heterogeneity, a larger is the size of the sample.
Answer: B
The correct statements are (i), (ii) and (iv).
The size of a sample depends mainly on the precision required and on how variable the population is. (i) is true: the precision needed in the estimates is a key factor. (ii) is true: the standard error of a mean falls as \(\sigma/\sqrt{n}\), so greater precision needs a larger sample. (iv) is true: the more heterogeneous the population, the larger its variance, and the larger the sample needed for the same precision.
(iii) is false, since it says the opposite of (ii): a smaller sample gives a larger standard error and therefore less precision. Every option containing (iii) is therefore wrong.
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development