ISS (Statistical Services) Statistics Paper III: Questions 12 - 16 of 131
Choose Programs:
🎓 Study Material (39 Notes): 2024-2025 Syllabus
Rs. 100.00 -OR-
3 Year Validity (Multiple Devices)
Topic-wise Notes & SampleDetails
🎯 131 Questions (& PYQs) with Full Explanations (2024-2025 Exam)
Rs. 350.00 -OR-
3 Year Validity (Multiple Devices)
CoverageDetailsSample Explanation
Help me Choose & Register (Watch Video) Already Subscribed?
Question 12
Appeared in Year: 2015
Describe in Detail Subjective▾
What are the advantages of stratified sampling? Consider the allocation of sample size ni of strata given by , where Ni is the stratum size, σi is the within stratum standard deviation of the ith stratum, (i = 1,2, … , k) and δ real. Write down the expression for the where stands for the unbiased estimator of the population mean of the study variate y based on sample random sample without replacement in each stratum.
EditExplanation
In this type of sampling method first the whole population is divided into homogeneous groups under certain criterion. There groups are termed as strata. Many advantage of stratified sampling can be summarized as follows.
(i) if the admissible error is given, small samples is needed which results into a cut of expenditure.
(ii) In case the cost of su…
… (168 more equations) …
Question 13
Appeared in Year: 2015
Describe in Detail Subjective▾
Describe in detail Indirect Least square method for estimating structural parameters. Is the estimator unbiased and/or consistent?
EditExplanation
For a just or exactly identified structural equation, the method of obtaining the estimates of the structural coefficients from the OLS estimates of the reduced-form coefficients is known as the method of indirect least squares (ILS) , and the estimates thus obtained are known as the indirect least squares estimates. ILS involves the following thre…
… (89 more equations) …
Question 14
Appeared in Year: 2015
Describe in Detail Subjective▾
Describe exact and near multicollinearity in a regression model. Discuss, along with justification, the effect of these situations on (i) sampling variation and (ii) prediction.
EditExplanation
Multicollinearity refers to the existence of a perfect or exact linear relationship among some or all explanatory variables of a regression model. So, there are two types of multicollinearity. They are
1. Exact Multicollinearity: If exist perfect linear relationship among the explanatory variables then it is treated as exact multicollinearity. In ca…
… (468 more words) …
Question 15
Appeared in Year: 2009
Write in Short Short Answer▾
Explain the time reversal and factor-reversal tests for an ideal index number. Give an example
of index number which satisfies both of these tests.
EditQuestion 16
Appeared in Year: 2009
Describe in Detail Subjective▾
State the probability density function of the Pareto distribution and give its cumulative form.
Interpret the constants involved.
EditExplanation
Probability Density Function of the Pareto distribution:
Suppose that X has the Pareto distribution with shape parameter a ∈ (0, ∞) and scale parameter b ∈ (0, ∞) then X has probability density function f given by
… (255 more words) …