Podcast
Questions and Answers
Match the following terms with their definitions related to sampling:
Match the following terms with their definitions related to sampling:
Sampling frame = A listing of the units from which the sample selection is made First-stage unit = The primary unit selected in multi-stage sampling Stratification = Division of a population into homogeneous subgroups Variance = A measure of the dispersion of a set of values
Match the following sampling types with their characteristics:
Match the following sampling types with their characteristics:
Stratified sampling = Combines advantages of both stratification and multi-stage sampling Multi-stage sampling = Selecting units in stages, often using clusters Probability proportional to size = Sampling technique that adjusts selection based on population size Simple random sampling = Every unit has an equal chance of being selected
Match the following concepts with their outcomes in sampling efficiency:
Match the following concepts with their outcomes in sampling efficiency:
Homogeneity within strata = Increased efficiency and reduced variance Heterogeneity between strata = Allows for better representation of variances Auxiliary information = Facilitates specialized sampling techniques Small sample size from strata = Can lead to effective representation of population
Match the following statistical terms with their applications:
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Match the following sampling steps with their roles:
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Match the following statistical measures with their descriptions:
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Match the following processes with their significance in research:
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Match the survey components with their descriptions:
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Match the following sampling designs with their advantages:
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Match the elements of survey design with their importance:
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Match the characteristics of data to their descriptions:
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Match the types of estimates with their significance:
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Match the considerations for survey design with their actions:
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Match the types of surveys with their examples:
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Match the stages of survey development with their focus:
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Match the aspects of survey planning with their relevance:
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Match the disadvantages with their respective response types:
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Match the characteristics with their respective response types:
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Match the examples of questions with response types:
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Match the terms with their definitions:
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Match the potential outcomes with the response types:
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Match the type of question with its definition:
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Match the advantages with the key terms:
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Match the closed-ended question example with its description:
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Match the advantage of closed-response categories with its benefit:
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Match the term with its corresponding definition:
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Match the type of survey question with its context:
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Match the characteristic of closed response categories with its benefit:
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Match the sampling unit stages with their respective terminologies:
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Match the types of sampling frames with their descriptions:
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Match the desirable properties of sampling frames with their categories:
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Match the terms related to sampling frames with their correct definitions:
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Match the type of error with its related property in sampling frames:
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Match the primary identifier functions with their descriptions:
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Match the stages in a three-stage sampling design with their examples:
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Match the following sampling frame types with their features:
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Match the following questionnaire layouts with their descriptions:
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Match the following types of problematic question writing with their descriptions:
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Match the following principles of question phrasing with their objectives:
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Match the following characteristics of sensitive questions with their implications:
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Match the following elements of effective questionnaire design with their purposes:
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Match the following types of questions with their potential issues:
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Match the following guidelines for questionnaire design with their appropriate focus:
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Study Notes
Multistage Sampling
- Multistage sampling involves selecting a sample in stages.
- Sampling units in each stage are sub-samples of larger units selected in previous stages.
- Appropriate selection methods are used at each stage, including simple random sampling (with or without replacement), systematic sampling, and probability proportional to size.
Reasons for Multi-stage Sampling
- Sampling frames may not be available for all ultimate observational units.
- Preparation of a complete frame can be laborious and costly.
- Multi-stage sampling is often more convenient and less expensive than single-stage sampling of ultimate units.
- Multi-stage sampling can reduce response errors and improve sampling efficiency in natural sampling units like households or villages by reducing intra-class correlation, like in a crop survey.
Two-Stage Sampling Diagram
- A population of M units, divided into N clusters
- A sample of n clusters is drawn randomly.
- A sample of m units is drawn from each of the n selected clusters
Mean and Variance of Two-Stage Sampling
- Population consists of N clusters with M subunits.
- The population mean is (Y): Y= (1/NM) ΣᵢΣⱼYᵢⱼ
- (Yᵢⱼ) is the value of the characteristic under study for the ⱼth second-stage unit of the ᵢth first-stage unit
Calculating Average
- First, average the estimator over all the second-stage selections from the set of n units selected in the first stage.
- Second, average over all the possible selections of "n" units by the sampling plan.
Variance of Two-Stage Sampling
- Variance (0) = 𝔼[𝔼₂(θ)]² + 𝔼[𝕍₂(θ)]
- The formula considers the first and second stage sampling.
Stratified Multi-stage Sampling
- Stratified multi-stage designs often combine the advantages of stratification and multi-stage sampling .
- Ideally, strata should be internally homogeneous and heterogeneous with respect to one another.
- First-stage units should be internally heterogeneous and homogeneous with respect to one another to improve efficiency.
Preparation of Sampling Frames
- A sampling frame is a listing of units from which a sample is selected.
- The frame should accurately represent the population.
- The frame incorporates materials, procedures, and devices for identifying, distinguishing, and accessing population elements.
- Rules and mechanisms link frame units to the population elements.
- Frames often include auxiliary information (e.g., measure of size, demographic information) for techniques like stratification, probability proportional to size selection, or special estimation techniques like ratio or regression estimation.
- Multistage designs need frames for each selection stage.
- In multistage sampling, there are primary, secondary and ultimate sampling units(PSUs, SSUs,USUs)
Desirable Properties of Frames
- Quality Related : Minimize non-sampling errors (e.g., coverage errors).
- Efficiency Related: Balance sampling error and cost, to find the most efficient survey design.
- Cost Related: Budget frame development, maintenance, and updating to minimize costs.
Sample Size Estimation
- Sample size depends on the level of precision required, the acceptable margin of error, and the confidence level desired, and the choice of sample design.
- A minimum sample size is needed to get a representative sample and accurate estimates.
- Different variables in the study may require different precision requirements.
Methods of Data Collection
- Primary data: Collected directly by or under researcher’s supervision (e.g., questionnaires, interviews, observations).
- Secondary data: Obtained from other sources (e.g., published literature, reports, documents).
Ethical Considerations
- Principles of honesty, objectivity, integrity, and non-discrimination guide research.
- There are specific codes and policies regarding research.
- Informed consent should respect the participant’s choices.
- Ethical review boards evaluate research proposals to ensure ethical practices.
Questionnaires
- Questionnaires are used in structured and unstructured ways.
- Open-ended questions gather detailed responses, while closed-ended (multiple-choice, dichotomous) questions offer pre-set choices.
- Question layout is vital to guide respondents and data processing.
- Questions should be clear, using simple language and avoiding ambiguity or sensitive topics for better responses and avoiding bias.
- Consideration is given to the time, effort, and space for responses.
Sample Design
- The general aim is always a representative sample.
- Minimal prior knowledge of the target population is necessary along with reasonable assumptions to select a suitable sample.
- The choice of sample design is critical.
- Sample design considers objectives of the survey.
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Description
This quiz covers the principles of multistage sampling, including its stages and methods. It discusses the reasons why this sampling technique is often preferred, as well as its benefits over single-stage sampling. Engage with the content to enhance your understanding of sampling strategies in research.