1What is the first step in the sampling design process?
Sampling design process
Easy
A.Writing the research report
B.Interpreting the collected data
C.Defining the target population
D.Calculating the sample results
Correct Answer: Defining the target population
Explanation:
The researcher must first clearly identify the population about which conclusions will be drawn.
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2What is a sampling frame?
Sampling design process
Easy
A.A table of statistical results
B.A schedule for data collection
C.A list of population elements
D.A summary of research findings
Correct Answer: A list of population elements
Explanation:
A sampling frame is the list or source from which members of the sample are selected.
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3What does determining the sample size involve?
Sampling design process
Easy
A.Choosing how results are displayed
B.Identifying the dependent variable
C.Deciding how many units to study
D.Selecting the final research title
Correct Answer: Deciding how many units to study
Explanation:
Sample size refers to the number of individuals, objects, or units included in the sample.
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4Why is the sampling unit specified in a sampling design?
Sampling design process
Easy
A.To identify the element being selected
B.To calculate the research budget
C.To explain the study limitations
D.To summarize the collected responses
Correct Answer: To identify the element being selected
Explanation:
A sampling unit identifies the basic element, such as a person or household, that may be selected.
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5Which characteristic means that a sample closely reflects its population?
Characteristics of a good sample
Easy
A.Uniformity
B.Representativeness
C.Convenience
D.Complexity
Correct Answer: Representativeness
Explanation:
A representative sample reflects the important characteristics of the target population.
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6A good sample should have which type of sampling error?
Characteristics of a good sample
Easy
A.Maximum sampling error
B.Unknown sampling error
C.Minimum sampling error
D.Increasing sampling error
Correct Answer: Minimum sampling error
Explanation:
A good sample minimizes the difference between sample estimates and true population values.
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7What does an adequate sample size help improve?
Characteristics of a good sample
Easy
A.Number of research topics
B.Reliability of estimates
C.Length of the questionnaire
D.Style of the final report
Correct Answer: Reliability of estimates
Explanation:
An adequate sample size generally produces more stable and reliable estimates of population characteristics.
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8Which quality makes a sample practical to study with available resources?
Characteristics of a good sample
Easy
A.Uniformity
B.Feasibility
C.Randomness
D.Complexity
Correct Answer: Feasibility
Explanation:
A feasible sample can be studied within the available time, budget, and staffing limits.
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9What are the two broad types of sampling design?
Types of sampling design
Easy
A.Qualitative and quantitative sampling
B.Probability and non-probability sampling
C.Primary and secondary sampling
D.Internal and external sampling
Correct Answer: Probability and non-probability sampling
Explanation:
Sampling designs are broadly classified as probability sampling and non-probability sampling.
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10In probability sampling, how are population units selected?
Types of sampling design
Easy
A.By ease of accessibility
B.By participant recommendations
C.By the researcher's preference
D.By a random selection process
Correct Answer: By a random selection process
Explanation:
Probability sampling uses random selection so that units have known chances of inclusion.
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11Which feature is typical of non-probability sampling?
Types of sampling design
Easy
A.Selection chances are unknown
B.Every subgroup is sampled randomly
C.Every unit receives a number
D.Selection chances are always equal
Correct Answer: Selection chances are unknown
Explanation:
In non-probability sampling, the probability that each population unit will be selected is not known.
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12Which sampling design is generally more suitable for statistical generalization?
Types of sampling design
Easy
A.Judgment sampling
B.Snowball sampling
C.Convenience sampling
D.Probability sampling
Correct Answer: Probability sampling
Explanation:
Probability sampling supports statistical generalization because selection is based on known probabilities.
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13Which technique gives every population member an equal chance of selection?
Random sampling techniques
Easy
A.Simple random sampling
B.Judgment sampling
C.Quota sampling
D.Snowball sampling
Correct Answer: Simple random sampling
Explanation:
Simple random sampling gives each member of the population an equal chance of being selected.
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14Which sampling technique selects every th unit from an ordered list?
Random sampling techniques
Easy
A.Purposive sampling
B.Cluster sampling
C.Systematic sampling
D.Stratified sampling
Correct Answer: Systematic sampling
Explanation:
Systematic sampling selects units at a regular interval, such as every th unit, after a starting point is chosen.
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15In which technique is the population divided into homogeneous subgroups before sampling?
Random sampling techniques
Easy
A.Systematic sampling
B.Stratified sampling
C.Snowball sampling
D.Convenience sampling
Correct Answer: Stratified sampling
Explanation:
Stratified sampling divides the population into similar subgroups called strata and samples from each stratum.
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16Which technique randomly selects entire groups, such as schools or villages?
Random sampling techniques
Easy
A.Quota sampling
B.Cluster sampling
C.Systematic sampling
D.Judgment sampling
Correct Answer: Cluster sampling
Explanation:
Cluster sampling divides the population into groups and randomly selects some of those groups.
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17Which technique selects participants because they are easy to reach?
Non-random sampling techniques
Easy
A.Stratified sampling
B.Systematic sampling
C.Convenience sampling
D.Cluster sampling
Correct Answer: Convenience sampling
Explanation:
Convenience sampling includes participants who are readily available or easily accessible.
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18Which technique selects participants based on the researcher's expert judgment?
Non-random sampling techniques
Easy
A.Systematic sampling
B.Purposive sampling
C.Cluster sampling
D.Simple random sampling
Correct Answer: Purposive sampling
Explanation:
Purposive sampling uses the researcher's judgment to select participants with relevant characteristics.
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19Which technique asks existing participants to recommend other participants?
Non-random sampling techniques
Easy
A.Systematic sampling
B.Snowball sampling
C.Stratified sampling
D.Quota sampling
Correct Answer: Snowball sampling
Explanation:
In snowball sampling, current participants help recruit additional participants from their networks.
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20Which technique selects participants until predetermined category totals are reached?
Non-random sampling techniques
Easy
A.Simple random sampling
B.Cluster sampling
C.Quota sampling
D.Systematic sampling
Correct Answer: Quota sampling
Explanation:
Quota sampling fills predetermined numbers of participants in specified population categories.
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21A researcher wants to study job satisfaction among 2,400 employees working in six departments. Before choosing a sampling technique, what should the researcher do first?
Sampling design process
Medium
A.Select every tenth employee from payroll
B.Define the target population and sampling unit
C.Replace employees who refuse to respond
D.Calculate the final sampling error
Correct Answer: Define the target population and sampling unit
Explanation:
A sampling design begins by clearly defining the population to be studied and the basic unit that may be selected.
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22A university survey defines its population as all currently enrolled students but uses an outdated hostel list as its sampling frame. Which problem is most likely?
Sampling design process
Medium
A.Recall error
B.Coverage error
C.Coding error
D.Interviewer bias
Correct Answer: Coverage error
Explanation:
The hostel list excludes students living elsewhere and may include ineligible names, so it does not adequately cover the target population.
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23A researcher has a fixed budget and requires estimates for both urban and rural households. Which design decision best addresses this requirement?
Sampling design process
Medium
A.Use one national convenience sample
B.Survey only the least expensive urban area
C.Treat residence as a basis for stratification
D.Let interviewers choose accessible households
Correct Answer: Treat residence as a basis for stratification
Explanation:
Stratifying by residence ensures that both urban and rural groups are represented while allowing the sample allocation to reflect budget constraints.
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24A sample size calculation gives 384 respondents, but a response rate of 80% is expected. Approximately how many people should be contacted?
Sampling design process
Medium
A.307
B.480
C.384
D.768
Correct Answer: 480
Explanation:
The required number to contact is , allowing for the expected 20% nonresponse.
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25Two samples are drawn from the same population. Sample X closely reflects the population's age and income distribution, while Sample Y mainly includes young, high-income respondents. Which quality does Sample X demonstrate more strongly?
Characteristics of a good sample
Medium
A.Administrative simplicity
B.Homogeneity
C.Representativeness
D.Convenience
Correct Answer: Representativeness
Explanation:
A representative sample resembles the population on characteristics relevant to the study, reducing the risk of biased conclusions.
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26A researcher repeatedly draws samples using the same design. The resulting estimates vary only slightly around the population value. Which two qualities are mainly demonstrated?
Characteristics of a good sample
Medium
A.Precision and accuracy
B.Simplicity and accessibility
C.Diversity and flexibility
D.Convenience and speed
Correct Answer: Precision and accuracy
Explanation:
Small variation indicates precision, while estimates centered near the true population value indicate accuracy.
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27Increasing a simple random sample from 100 to 400 observations, with population variability unchanged, will approximately have what effect on the standard error?
Characteristics of a good sample
Medium
A.It will be halved
B.It will be quartered
C.It will remain unchanged
D.It will be doubled
Correct Answer: It will be halved
Explanation:
Standard error is approximately proportional to . Increasing fourfold reduces the standard error by .
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28A large online poll allows anyone visiting a news website to participate. Why may its large sample still produce poor estimates of public opinion?
Characteristics of a good sample
Medium
A.Large samples always increase sampling bias
B.Public opinion requires a complete census
C.Self-selection can create systematic bias
D.Online responses cannot be analyzed statistically
Correct Answer: Self-selection can create systematic bias
Explanation:
A large sample reduces random error but does not correct selection bias when participation depends on respondents volunteering themselves.
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29A national study randomly selects districts, then schools within selected districts, and finally students within selected schools. Which sampling design is being used?
Types of sampling design
Medium
A.Systematic sampling
B.Multistage sampling
C.Quota sampling
D.Judgment sampling
Correct Answer: Multistage sampling
Explanation:
Multistage sampling selects units through successive levels, such as districts, schools, and then students.
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30A city is divided into 80 neighborhoods. Ten neighborhoods are randomly selected, and every household in those neighborhoods is surveyed. Which design is this?
Types of sampling design
Medium
A.Quota sampling
B.Proportionate stratified sampling
C.Systematic random sampling
D.One-stage cluster sampling
Correct Answer: One-stage cluster sampling
Explanation:
The neighborhoods are clusters, and surveying every household in each selected neighborhood makes this one-stage cluster sampling.
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31Which situation most strongly favors stratified sampling rather than cluster sampling?
Types of sampling design
Medium
A.Subgroups differ internally and each needs representation
B.Natural groups are miniature versions of the population
C.Travel costs dominate all other research concerns
D.A complete list exists only for geographic groups
Correct Answer: Subgroups differ internally and each needs representation
Explanation:
Stratification is useful when meaningful subgroups differ from one another and the researcher needs adequate representation from each subgroup.
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32A company samples 10% of employees from each department, with the number chosen from each department proportional to its size. What design is used?
Types of sampling design
Medium
A.Single-stage cluster sampling
B.Proportionate stratified sampling
C.Fixed quota sampling
D.Disproportionate stratified sampling
Correct Answer: Proportionate stratified sampling
Explanation:
Departments form strata, and selecting the same percentage from each means sample allocation is proportional to stratum size.
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33A population list contains 1,200 names, and a systematic sample of 100 is required. After choosing a random start from 1 to 12, which interval should be used?
Random sampling techniques
Medium
A.Every 12th name
B.Every 100th name
C.Every 10th name
D.Every 120th name
Correct Answer: Every 12th name
Explanation:
The systematic interval is , so every 12th name is selected after a random start.
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34A factory uses systematic sampling on a production list where every 20th item comes from the same machine. The sampling interval is also 20. What is the main risk?
Random sampling techniques
Medium
A.Periodicity may bias the sample
B.Random starts become impossible
C.Each item will have equal representation
D.The sample size will necessarily double
Correct Answer: Periodicity may bias the sample
Explanation:
When the list has a repeating pattern matching the sampling interval, systematic sampling may repeatedly select items from one machine.
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35In simple random sampling without replacement, 50 students are selected from 500. What is the probability that any particular student is included?
Random sampling techniques
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Under simple random sampling, each student's inclusion probability is .
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36A small occupational group makes up 2% of a population but must be analyzed separately. Which probability approach is most appropriate?
Disproportionate allocation can oversample a small stratum so that enough cases are available for reliable subgroup analysis.
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37A researcher studying an undocumented migrant community asks each participant to refer other eligible participants. Which method is being used?
Non-random sampling techniques
Medium
A.Stratified sampling
B.Systematic sampling
C.Snowball sampling
D.Quota sampling
Correct Answer: Snowball sampling
Explanation:
Snowball sampling uses referrals from existing participants to reach members of populations that are difficult to identify or access.
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38Interviewers must recruit 60 women and 40 men at a shopping center, but they may choose any available individuals within each category. Which method is this?
Non-random sampling techniques
Medium
A.Simple random sampling
B.Cluster sampling
C.Quota sampling
D.Stratified random sampling
Correct Answer: Quota sampling
Explanation:
Quota sampling sets target numbers for categories but does not randomly select individuals within those categories.
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39A researcher deliberately selects experienced emergency physicians because they possess specialized knowledge relevant to the study. Which technique is most appropriate?
Non-random sampling techniques
Medium
A.Systematic sampling
B.Cluster sampling
C.Convenience sampling
D.Purposive sampling
Correct Answer: Purposive sampling
Explanation:
Purposive sampling deliberately selects participants whose characteristics or expertise directly serve the research objective.
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40A lecturer surveys students who remain in the classroom after an optional seminar because they are easiest to reach. What is the main limitation of this method?
Non-random sampling techniques
Medium
A.The sample may differ systematically from other students
B.The sample requires a complete student sampling frame
C.The method guarantees excessive financial cost
D.The method gives every student an equal probability
Correct Answer: The sample may differ systematically from other students
Explanation:
This is convenience sampling, and readily available students may differ in motivation or interest from those who did not attend or remain.
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41A national study defines its target population as all adults who usually reside in private households. Its sampling frame is an electoral register that excludes nonregistered adults and retains some people who have moved abroad. Which pair of errors is present before any sampled person is contacted?
Sampling design process
Hard
A.Undercoverage and overcoverage
B.Unit nonresponse and undercoverage
C.Item nonresponse and measurement error
D.Sampling variance and overcoverage
Correct Answer: Undercoverage and overcoverage
Explanation:
Excluded eligible adults create undercoverage, while listed ineligible former residents create overcoverage. Both are frame errors rather than nonresponse or measurement errors.
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42A researcher must estimate a population mean with margin of error at 95% confidence. A pilot study gives . Ignoring finite population correction and nonresponse, what is the smallest required sample size using with ?
Sampling design process
Hard
A.142
B.139
C.148
D.135
Correct Answer: 139
Explanation:
. The result must be rounded upward, giving .
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43A probability sample is selected correctly, but only 60% respond. Response propensity depends strongly on age, which is known for every sampled unit, and age also predicts the outcome. Which revision most directly addresses the resulting risk during estimation?
Sampling design process
Hard
A.Report the unweighted mean with a smaller confidence level
B.Adjust weights within age-based response classes
C.Increase every respondent's weight by the same factor
D.Replace missing outcomes with the overall respondent mean
Correct Answer: Adjust weights within age-based response classes
Explanation:
Response-class weighting uses observed age information related to both response and outcome, reducing nonresponse bias under a conditional response assumption.
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44A firm wants separate estimates for three rare occupational groups as well as an overall workforce estimate. A simple random sample would include too few members of each rare group. Which design-stage decision best meets both objectives?
Sampling design process
Hard
A.Create convenience quotas for the rare groups at each worksite and treat the resulting cases as a self-weighting probability sample
B.Oversample the rare groups and use design weights
C.Oversample the rare groups and analyze all cases unweighted
D.Sample only the rare groups and impute the remaining workforce
Correct Answer: Oversample the rare groups and use design weights
Explanation:
Disproportionate stratified sampling supplies adequate subgroup cases, while inverse-probability design weights restore valid overall population estimation.
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45Two unbiased designs estimate the same population mean. Design A has variance and expected cost ; Design B has variance and expected cost . If quality is judged by minimizing , which design is more efficient?
Characteristics of a good sample
Hard
A.Design A, because its criterion value is
B.Design B, because lower variance always dominates cost
C.Design A, because its standard error is
D.Design B, because its criterion value is
Correct Answer: Design A, because its criterion value is
Explanation:
The criterion is for A and for B. The smaller product indicates greater cost-adjusted efficiency.
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46A very large online opt-in sample closely matches population margins for age, sex, and region after weighting. Which conclusion is most defensible?
Characteristics of a good sample
Hard
A.Bias may remain from unmeasured selection-related variables
B.Weighting converts every volunteer sample into a probability sample with known inclusion probabilities and therefore supports exact randomization-based inference
Correct Answer: Bias may remain from unmeasured selection-related variables
Explanation:
Calibration can correct imbalance on observed variables, but it cannot guarantee correction for unobserved factors associated with volunteering and the study outcome.
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47A cluster sample has respondents per cluster and an intracluster correlation of . Under equal cluster sizes, what is the approximate design effect relative to simple random sampling?
Characteristics of a good sample
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
For equal-sized clusters, .
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48A sample estimate has a very small reported standard error, but the frame omits 20% of the target population whose outcome values are systematically higher. Which assessment is correct?
Characteristics of a good sample
Hard
A.The estimate is precise but potentially biased
B.The estimate is representative because its standard error is small
C.The estimate is unbiased but statistically inefficient
D.The estimate becomes unbiased once the nominal sample size exceeds the omitted population count
Correct Answer: The estimate is precise but potentially biased
Explanation:
A small standard error reflects low sampling variability under the implemented design; it does not remove systematic undercoverage bias.
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49A researcher randomly selects 30 hospitals, then independently draws a simple random sample of nurses within each selected hospital. How should this design be classified?
Types of sampling design
Hard
A.Stratified random sampling
B.One-stage cluster sampling
C.Two-stage cluster sampling
D.Systematic element sampling
Correct Answer: Two-stage cluster sampling
Explanation:
Hospitals are sampled as primary sampling units, followed by sampling nurses as secondary units, making the design two-stage cluster sampling.
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50A population is divided into mutually exclusive income bands, and an independent random sample is taken from every band. Which feature distinguishes this design from cluster sampling?
Types of sampling design
Hard
A.Only selected strata contribute sampled units
B.Every element receives the same final inclusion probability regardless of the stratum allocation selected by the researcher
C.Income bands must have equal population sizes
D.Every stratum contributes sampled units
Correct Answer: Every stratum contributes sampled units
Explanation:
In stratified sampling, units are sampled from all strata. In standard cluster sampling, only selected clusters contribute elements.
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51A survey selects villages with probability proportional to population size and then selects exactly 20 households by simple random sampling within each chosen village. Ignoring repeated village selection, when is the household sample approximately self-weighting?
Types of sampling design
Hard
A.When the number of selected villages is proportional to the observed response rate in each village
B.When household outcomes have equal within-village variance
C.When every village has the same geographic area
D.When village selection probability is proportional to household count
Correct Answer: When village selection probability is proportional to household count
Explanation:
The first-stage probability is proportional to village size, while the second-stage probability is inversely proportional to that size. Their product is then approximately constant.
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52Which design is best described as a probability design even though sampled units can have unequal inclusion probabilities?
Types of sampling design
Hard
A.Probability-proportional-to-size sampling with known measures of size
B.Quota sampling using interviewer-selected cases within demographic cells
C.Snowball sampling that continues until no participant supplies a new referral and all observed network components appear saturated
D.Purposive sampling of cases judged to be maximally informative
Correct Answer: Probability-proportional-to-size sampling with known measures of size
Explanation:
Probability sampling requires known, nonzero selection probabilities, not equal probabilities. PPS sampling deliberately assigns unequal but known probabilities.
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53A population has two strata with and , where is per-unit cost. Under optimum allocation with unequal costs, . For total , what allocation is optimal?
Random sampling techniques
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The allocation measures are and , a ratio of . Thus and .
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54A systematic sample of every 10th unit is drawn after one random start from a production list arranged in a repeating cycle of exactly 10 machine positions. What is the central design risk?
Random sampling techniques
Hard
A.Every unit obtains an inclusion probability greater than
B.The estimator is automatically unbiased because a random start eliminates any effect of ordering or periodicity in the frame
C.The sampling interval becomes random after the first selection
D.The sample may repeatedly select one machine position
Correct Answer: The sample may repeatedly select one machine position
Explanation:
When the frame's period matches the sampling interval, one random start can lock the sample onto a single position in each cycle, producing severe bias.
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55In unequal-probability sampling without replacement, unit has inclusion probability . Which estimator of the population total is design-unbiased under the sampling design?
Random sampling techniques
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The Horvitz-Thompson estimator weights each observed value by the inverse of its inclusion probability and is design-unbiased for the population total.
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56From a finite population of , an SRS without replacement of produces an estimated standard error of when the finite population correction is ignored. What is the corrected standard error using ?
Random sampling techniques
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The correction is , so the corrected standard error is .
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57Interviewers must fill age-by-sex quotas but may approach anyone they prefer within each quota cell. Why does this remain non-random sampling?
Non-random sampling techniques
Hard
A.Population proportions are used to set targets
B.Quota cells are mutually exclusive
C.Within-cell inclusion probabilities are unknown
D.The final sample cannot contain the same number of respondents in every age-by-sex group unless replacement sampling is explicitly permitted
Correct Answer: Within-cell inclusion probabilities are unknown
Explanation:
Matching quota totals does not make interviewer selection probabilistic. Without known within-cell selection probabilities, design-based inclusion weights cannot be derived.
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58A study of an undocumented and socially connected population recruits initial participants purposively and asks each participant to refer others. Which limitation most directly threatens estimation of population prevalence?
Non-random sampling techniques
Hard
A.Recruitment depends on network ties and seed selection
B.The method requires a complete conventional sampling frame
C.Sampling variance must be zero because participants recruit acquaintances with similar characteristics
D.Every referral necessarily has the same selection probability
Correct Answer: Recruitment depends on network ties and seed selection
Explanation:
Snowball recruitment overrepresents well-connected networks and can remain strongly dependent on the initial seeds, making population prevalence difficult to estimate.
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59A qualitative researcher deliberately chooses cases that sharply differ on organizational size, ownership, and region to examine whether a proposed mechanism appears across diverse contexts. Which technique is being used?
Maximum-variation sampling intentionally selects diverse cases to investigate common patterns and contextual differences; it does not rely on random selection.
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60An opt-in web poll reports that 72% support a policy, with a conventional SRS margin of error of . Which interpretation is methodologically strongest?
Non-random sampling techniques
Hard
A.The margin of error omits unknown self-selection bias
B.The margin remains valid after weighting because demographic calibration reconstructs all unknown inclusion probabilities for every member of the target population
C.The stated margin fully captures coverage and nonresponse errors
D.The estimate is design-unbiased because the sample is large
Correct Answer: The margin of error omits unknown self-selection bias
Explanation:
A conventional SRS margin measures random sampling error under a probability model. It does not quantify potentially substantial opt-in self-selection and coverage biases.
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