Sampling methods, Electrical Engineering

The project involves comparisons between di erent sampling methods, di erent estimation methods, numerical results using samples selected from a synthetic nite population, and a nal written report.

(a) Choose two sampling methods from (1) SRSWOR; (2) SRSWR; (3) Systematic sampling; (4) One-stage cluster sampling; and (5) Strati ed sampling (with possibly one of the methods (1)-(4) used within each stratum). Provide detailed descriptions and discussions on the two sampling procedures, including strengths and limitations, and comparisons between the two methods. (Note: you need to look at the structure of the population before choosing your sampling methods) (b) Provide detailed estimation theory on the population mean  Y , including point estimator, theoretical variance formula and variance estimator under the choosing designs, and do this for two cases (i) without any auxiliary information; (ii) with known auxiliary population mean  X, using either a ratio estimator or a regression estimator. (c) Take two probability samples from the synthetic population described below (available from the UWACE course webpage) using the two methods you chose in (a), with the same overall sample size n. The sampling fraction f = n=N should be no more than 10%. Compute point estimates and associated standard errors following discussions in (b). Repeat this process at least three times, and summarize your results using a table.

(d) The true population mean  Y is known under the current arti cial situation. Using the known  Y , compute the average bias of the estimates you reported in (c) for a given sampling/estimation scenario, averaging over repeated samples; make commends anddiscussions based on your results.

2. The Synthetic Finite PopulationThe population consists of 250 couples who both have an income last year and this year. The population data le has six columns: 1. Individual ID number; 2. Couple ID number;

3. Gender (Male: 0; Female: 1); 4. xi: reported annual income (in thousand dollars) of last year on tax-returns; 5. yi: this year's actual annual income; 6. Strata indicator variables, created based on values of x (low income: 1; medium income: 2; high income: 3). The truepopulation means are  X = 47:1 and  Y = 51:1.

3. Final Project Report

(a) A word-processed written report; single-sided with a cover page; minimum 6 pages and maximum 12 pages (excluding the cover page).

(b) The written report should contain (1) a formal title such as A Comparative Study Between SRSWOR and Strati ed SRSWOR; (2) a one-paragraph summary on the main content of the report and major ndings or conclusions (i.e. Abstract); and (3) sections such as Introduction; The Sampling Methods; Estimation Theory; The Finite Population; Numerical Results; and Conclusions. Tables and graphs are welcome.

(c) Repeated simulation through R programming is viewed as a bonus.

Posted Date: 3/9/2013 4:45:32 AM | Location : United States







Related Discussions:- Sampling methods, Assignment Help, Ask Question on Sampling methods, Get Answer, Expert's Help, Sampling methods Discussions

Write discussion on Sampling methods
Your posts are moderated
Related Questions
disadvantages of shunt&series clippers

Q. What are the different types of distributing frames used in exchanges? Ans: Different distribution  frames  used  in  exchange  are  displayed in  figure.  Each subscribe

Change in an organisation: Change might be perceived in two ways: Change as continuous and intrinsic to an organisation and change as discontinuous & extrinsic. A force

Mention the categories of instruction and give two examples for each category The instructions of 8085 can be categorized into the following five Data transfer MOV Rd,Rs

A 3-phase, 16-pole synchronous machine is driven by a prime mover at a speed of 600-rpm with the stator open circuited. The rotor flux per pole is 0.025-Wb. Determine (a) the fr

What are the fundamentals of solid states?

What are the signals involved in memory bank selection in 8086 microprocessor? The 8086 based system will have two sets of memory IC's. One set for even bank and another for od

Q. Write a short note on RS-232-C. Ans: RS-232 standard is a collection of connection standards between different pieces of equipment. EIA RS-232 serial communication standard

Multiplexed Address/ Data Bus Pins AD 7 - AD) are used for multiplexed address data bus. This bus is bidirectional  input output  and  serves two  purpose. Initially the bus

What is the  use of latch signal on the AD0-AD15 bus in an 8086 system? Latch signal is used to load the data those are fetched from memory to bus.