Sample survey design project marking guide 1. Introduction (10 marks)
• Provide a sensible variable of interest (4 marks)
• Use some sentences to explain why select this variable. (3 marks)
• Mention wants to estimate the population mean or the population total (1
• Mention the details on how the variable does be measured (2 marks)
2. Sampling frame (15 marks)
• Define a sensible target population (6 marks)
• Justify why setting this target population is sensible (2 marks)
• Mention some general problems faced in the data collection step (4 marks)
• Mention which variables are recorded in the study (1 mark)
• Mention the target population size and the sample size (2 marks)
3. Simple random sampling (15 marks)
• Mention the details of how to collect samples (3 marks)
• Mention the problems faced, and mention how to deal with the problem (3
• Mention the details on how to calculate the sample mean and variance of the
sample mean (2 marks)
• Provide the correct estimates of the population parameter (2 marks)
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• Provide the correct variance or standard error of estimates of the population parameter (5 marks)
4. Systematic sampling (15 marks)
• Mention the details of how to collect samples (3 marks)
• Mention the problems faced, and mention how to deal with the problem (3
• Mention the details on how to calculate the sample mean and variance of the
sample mean (2 marks)
• Provide the correct estimates of the population parameter (2 marks)
• Provide the correct variance or standard error of estimates of the population parameter (5 marks)
5. Stratified sampling (25 marks)
• Mention the variable used to define the strata (2 marks)
• Justify why to use this variable to define the strata (3 marks)
• Mention the sub-population size (1 mark)
• Mention the details of how to collect samples (2 marks)
• Mention the problems faced, and mention how to deal with the problem (2
• Provide the correct sub-sample size for each allocation method (3 marks)
• Provide the correct estimates of the population parameter for each allocation (3 marks)
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• Provide the correct variance or standard error of estimates of the population parameter (6 marks)
• Using a sensible way to determine 𝑆! in the optimal allocation. (3 marks)
• 10 marks will be deducted if only one allocation method is used (there
should be two).
6. Summary of the results (10 marks)
• Provide a table to list the result (3 marks)
• Provide sensible and clear comments on the result (3 marks)
• Provide confidence interval (1 mark)
• Do a comparison of the different sampling schemes using the results listed (3
7. Conclusion and discussion (10 marks)
• Mention a sensible conclusion (4 marks)
• Mention some parts that can be improved in the design (2 marks)
• Mention some strategies to improve the design (1 mark)
• Mention the direction for future research (3 marks)
8. Further notes
• If students do not provide any graphs in the whole report, then minus 5 marks for the overall project.
• If students perform an experiment not a survey in the project, few or no marks may be awarded for criteria 2, 3, 4 and 5.
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