HR Analytics

Chapter 5
Research Design and Analytical Reasoning

Bachelors Program in Human Resource Management
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Research Design and Analytical Reasoning

Introduction

HR analytics is most valuable when it helps an organization make a better decision, not merely when it produces a dashboard or a statistically significant result. A sound HR analytics project connects a managerial problem to a clearly defined research question, appropriate evidence, defensible analysis, and an action whose consequences can be evaluated. This chapter presents that analytical lifecycle and explains how HR professionals can distinguish association from causation, select suitable research designs, draw samples, interpret uncertainty, and translate findings into responsible action.

Examples include questions such as:

  • Does structured onboarding improve six-month retention?
  • Is employee engagement associated with customer-service performance?
  • Did a new flexible-work policy reduce voluntary turnover?
  • Which employee groups are most likely to leave, and what intervention is justified?

These questions cannot all be answered with the same design. A carefully designed survey may describe employee perceptions, while a randomized trial may estimate the causal effect of a training programme. A quasi-experiment may be the strongest feasible design when random assignment is impractical. Observational data may reveal patterns, but it requires especially cautious interpretation.

Learning Objectives

By the end of this chapter, you should be able to:

  1. Apply an HR analytics lifecycle from problem framing through action and evaluation.
  2. Convert an organizational concern into a research question and testable hypothesis.
  3. Distinguish constructs, variables, measures, populations, samples, and units of analysis.
  4. Select and justify sampling, experimental, quasi-experimental, and observational designs.
  5. Explain correlation, confounding, selection bias, and causal reasoning.
  6. Interpret basic descriptive and inferential statistics without overstating conclusions.
  7. Address validity, ethics, privacy, fairness, and governance in HR research.

1. The Analytical Lifecycle

A useful analytical lifecycle is an iterative sequence rather than a one-way technical pipeline:

Problem framing → theory and hypotheses → design → data collection → preparation → analysis → interpretation → action → evaluation

Each stage constrains the next. If the problem is poorly framed, even sophisticated modelling may answer the wrong question. If measurement is weak, statistical precision cannot rescue the study. If findings are not translated into an operational decision, the analysis has limited organizational value.

1.1 Problem framing

Problem framing begins with the decision, not the available data. A manager may state, “Turnover is too high.” This is a symptom, not yet a research problem. A stronger formulation identifies the population, outcome, time period, decision, and constraints:

Among customer-support employees hired during the past two years, which modifiable factors are associated with early voluntary turnover, and which retention intervention should be piloted next quarter?

A well-framed problem distinguishes:

  • Decision maker: Who will use the result?
  • Decision: What action could change as a consequence?
  • Outcome: What will be measured?
  • Population: To whom should the conclusion apply?
  • Time horizon: When does the outcome occur?
  • Constraints: What ethical, legal, financial, or operational limits exist?

A problem statement should not presume the answer. “Prove that remote work causes lower performance” is advocacy disguised as research. “Estimate the relationship between work arrangement and performance, considering job type and tenure” is more neutral.

1.2 Research questions and hypotheses

A research question is an answerable statement about a population, exposure or intervention, outcome, and context. A hypothesis is a proposition that can be evaluated with evidence.

For example:

  • Research question: Does structured onboarding affect six-month voluntary retention?
  • Null hypothesis: Structured onboarding has no difference in six-month retention between comparable groups.
  • Alternative hypothesis: Structured onboarding changes six-month retention.

A directional hypothesis may predict the direction:

Employees receiving structured onboarding will have higher six-month retention than employees receiving standard onboarding.

The independent variable is the presumed predictor or intervention; the dependent variable is the outcome. Covariates are additional variables included because they may explain differences or improve precision. A mediator explains part of a pathway, while a moderator changes the strength or direction of a relationship.

For instance, onboarding may improve retention partly through role clarity (a mediator), and its effect may be stronger for new graduates than for experienced hires (a moderator). These are theoretical claims and should not be inferred solely because variables correlate.

1.3 Operationalization

Constructs are abstract concepts such as engagement, inclusion, burnout, leadership quality, or organizational commitment. Variables are observable representations of constructs. Operationalization specifies exactly how a construct will be measured.

ConstructPossible operational measureImportant caution
Voluntary turnoverEmployee leaves by choice within six monthsDo not mix voluntary and involuntary exits
EngagementMean score on a validated multi-item scaleCheck reliability and response bias
PerformanceStandardized appraisal or objective outputRatings may contain rater bias
AbsenceDays absent during a defined periodDefine approved and unapproved absence
Promotion equityPromotion rate by group and eligibilityCompare people with comparable opportunity

A measure should have clear coding rules, a defined observation window, and a documented source. Measurement validity asks whether the variable adequately represents the intended construct. Reliability concerns consistency, but a reliable measure can still be invalid: a consistently biased appraisal is not a valid measure of performance.

2. Research Designs in HR Analytics

Research design is the logical plan connecting a question to evidence. No design is universally best; suitability depends on the causal ambition, feasibility, ethics, timing, and data-generating process.

2.1 Descriptive and observational designs

A descriptive design summarizes what has occurred. Examples include turnover by department, median time to hire, or engagement scores by tenure group. Description is essential but does not explain why a pattern exists.

An observational analytical design studies naturally occurring differences without assigning an intervention. Cross-sectional data are measured at one point in time. They are useful for prevalence and association but are weak for temporal ordering. Longitudinal data follow people or units over time and can establish whether a presumed cause preceded an outcome, although they do not automatically establish causation.

A cohort design follows groups defined by exposure, such as employees who completed a training programme and those who did not. A case-control design begins with an outcome, such as turnover, and compares prior characteristics of leavers and non-leavers. Case-control designs can be efficient for rare outcomes but are vulnerable to recall and selection problems.

2.2 Experimental designs

In a randomized controlled experiment, eligible units are randomly assigned to treatment or control conditions. Randomization tends, in expectation, to balance both observed and unobserved characteristics between groups. The difference in average outcomes can therefore estimate the causal effect of the intervention, provided implementation and measurement are sound.

For an outcome Y, the estimated difference in group means is:

Δ̂ = Ȳ₁ − Ȳ₀

Here, Ȳ₁ is the mean outcome for the treatment group, Ȳ₀ is the mean outcome for the control group, and Δ̂ is the estimated average treatment effect under the design assumptions. The units must be the same—for example, percentage points in retention, days of absence, or performance-score points. Random assignment does not guarantee identical groups in a small sample, so baseline balance and uncertainty should still be examined.

A randomized HR experiment might assign teams, rather than individuals, to avoid contamination. If employees in the same team share information, individual assignment may cause control employees to receive part of the intervention. Cluster randomization reduces this problem but usually requires more units because observations within a cluster are correlated.

Ethical requirements include informed participation where appropriate, minimal risk, equitable treatment, protection from retaliation, and a legitimate reason for withholding or delaying an intervention. An experiment is not justified merely because it is methodologically attractive.

2.3 Quasi-experimental designs

Quasi-experiments estimate effects when random assignment is unavailable. They use a comparison structure that approximates the counterfactual: what would have happened to treated units without treatment.

Difference-in-differences compares changes over time in a treated group with changes in a comparison group:

δ̂ = (ȲT,after − ȲT,before) − (ȲC,after − ȲC,before)

The symbols T and C denote treatment and comparison groups; “before” and “after” denote time periods. The key assumption is parallel trends: in the absence of the intervention, the groups would have experienced similar average changes. This assumption cannot be proved conclusively, but pre-intervention trends can provide evidence.

A practical example is a flexible-work policy introduced in one business unit but not another. If voluntary turnover falls by 6 percentage points in the treated unit and by 2 points in the comparison unit, the estimated difference-in-differences is −4 percentage points. This estimate is credible only if the groups had comparable pre-policy trends and no other major change affected one unit differently.

Other quasi-experimental approaches include regression discontinuity, which uses a known threshold for treatment assignment; interrupted time series, which examines a level or trend change after an intervention; and matched comparison designs, which create more comparable treatment and non-treatment groups using observed characteristics. Matching improves comparability on measured variables but cannot remove bias from unmeasured differences.

2.4 Choosing among designs

Research purposeSuitable designMain strengthMain limitation
Describe workforce compositionDescriptive cross-sectionalEfficient overviewDoes not establish cause
Estimate employee perceptionsSurveyDirect measurement of attitudesNonresponse and self-report bias
Test an interventionRandomized experimentStrong causal identificationFeasibility and ethics
Evaluate a policy already introducedQuasi-experimentUses real organizational changeRelies on assumptions
Study patterns over timeLongitudinal cohortEstablishes temporal orderAttrition and cost
Explore rare turnover outcomesCase-controlEfficient for rare casesSelection and recall bias

The design should follow the question. If the question is “How common is burnout?”, a representative survey may be appropriate. If it is “Does a manager-coaching programme reduce burnout?”, a randomized or quasi-experimental design is more appropriate.

3. Sampling and Data Collection

3.1 Population, sample, and unit of analysis

The target population is the full group to which the researcher wishes to generalize. The accessible population is the group from which data can actually be obtained. A sample is the subset observed. The unit of analysis is the entity about which conclusions are made: employee, team, vacancy, department, or organization.

A common error is the ecological fallacy: inferring individual behavior from group averages. The reverse error, atomistic fallacy, occurs when individual relationships are assumed to describe organizational-level relationships. The level of analysis must match the research question.

3.2 Probability and non-probability sampling

Probability sampling gives units a known, non-zero chance of selection. Simple random sampling selects units randomly from a complete sampling frame. Stratified sampling divides the population into relevant groups—such as job family or region—and samples within each group. Cluster sampling selects groups such as teams or sites, then observes members within selected clusters.

Non-probability methods include convenience, purposive, quota, and voluntary-response sampling. They may be useful for exploratory work, but sampling error cannot be calculated in the same way as under probability sampling, and generalizability is limited.

A large sample does not compensate for systematic selection bias. Ten thousand voluntary respondents may represent the most dissatisfied or most engaged employees rather than the workforce as a whole. Researchers should compare respondents with the target population on available characteristics and report nonresponse.

For a proportion estimated under simple random sampling, a commonly used approximate margin of error is:

ME ≈ z × √[p(1 − p) ÷ n]

Here, ME is the margin of error, z is the chosen standard-normal critical value, p is the anticipated population proportion, and n is the sample size. This approximation assumes a probability sample, independent observations, and an adequately large sample. It does not account automatically for nonresponse, clustering, weighting, or design effects. For a 95% interval, z is approximately 1.96. When p is unknown, 0.50 gives the largest variance and therefore a conservative planning value.

For example, with p = 0.50 and n = 400:

ME ≈ 1.96 × √[0.50 × 0.50 ÷ 400] = 1.96 × 0.025 = 0.049, or approximately 4.9 percentage points.

This means that, under the assumptions, a sample estimate has an approximate 95% margin of error of 4.9 percentage points due to random sampling alone. It does not correct for biased wording or nonresponse.

3.3 Data collection quality

A data-collection protocol should specify inclusion criteria, recruitment, consent, instruments, timing, coding, missing-data rules, and security. Surveys should use clear, neutral questions and avoid double-barrelled items such as “My manager is fair and supportive.” Administrative data require definitions, version control, and checks for changes in HRIS coding.

Before analysis, inspect duplicates, impossible dates, inconsistent categories, outliers, missingness, and linkage errors. Missing data should not automatically be replaced with zero. The appropriate treatment depends on why data are missing and on the variable’s meaning. Complete-case analysis can reduce power and introduce bias; imputation or sensitivity analysis may be preferable when assumptions are defensible.

4. Correlation, Causation, and Analytical Reasoning

Correlation describes the degree to which two variables vary together. Pearson’s correlation coefficient is:

r = Σ[(xᵢ − x̄)(yᵢ − ȳ)] ÷ √[Σ(xᵢ − x̄)² × Σ(yᵢ − ȳ)²]

Here, xᵢ and yᵢ are paired observations, x̄ and ȳ are sample means, and r ranges from −1 to +1. The coefficient measures linear association. It does not establish causation, does not describe nonlinear relationships adequately, and can be distorted by outliers or restricted ranges.

A causal claim requires more than association. At minimum, the proposed cause must precede the outcome, the relationship must not be fully explained by alternative causes, and the intervention or exposure must have a plausible mechanism. Three classic threats are:

  • Confounding: A third variable influences both the presumed cause and the outcome. For example, job level may influence both training participation and performance.
  • Reverse causality: The outcome influences the presumed predictor. Employees expecting to leave may report lower engagement, rather than low engagement causing departure.
  • Selection bias: Inclusion in the data depends on variables related to exposure or outcome. Employees who respond to an engagement survey may differ systematically from nonrespondents.

A useful causal framework is the potential-outcomes perspective. For each unit, imagine two outcomes: one if exposed to the intervention and one if not exposed. The individual causal effect is the difference between these potential outcomes, but both cannot be observed for the same unit at the same time. This is the fundamental problem of causal inference. Research designs attempt to construct a credible estimate of the missing counterfactual.

Control variables can reduce confounding when selected using substantive knowledge. However, controlling for a mediator, a collider, or a variable caused by the treatment can create bias. “Add every available HRIS variable” is not a sound causal strategy. A causal diagram or explicit theory should guide adjustment.

Statistical significance is not the same as practical significance. A very small effect can be statistically detectable in a large sample, while an important effect may be uncertain in a small sample. Report effect sizes, confidence intervals, assumptions, and operational consequences—not only p-values.

5. From Analysis to Interpretation and Action

Interpretation should answer four questions:

  1. What was estimated?
  2. How uncertain is the estimate?
  3. What assumptions support the interpretation?
  4. What decision follows, and how will it be evaluated?

A confidence interval represents a procedure that, under repeated sampling and its assumptions, would contain the true parameter at the stated rate. It is not strictly the probability that a fixed parameter lies in one particular interval. In professional communication, it is reasonable to say that the interval expresses uncertainty around the estimate, while avoiding overconfident probability language.

A practical decision memo should include:

  • the decision and affected population;
  • the outcome definition and study period;
  • design and sample construction;
  • main estimate and uncertainty;
  • relevant subgroup results;
  • limitations and threats to validity;
  • recommended action;
  • monitoring indicators and a stop or review rule.

When an intervention is recommended, define leading indicators (such as training completion), intermediate outcomes (such as role clarity), and final outcomes (such as retention). A pilot can be preferable to immediate organization-wide implementation when uncertainty or risk is substantial.

6. Validity, Reliability, and Reproducibility

Internal validity concerns whether the study supports a credible conclusion about the studied units. External validity concerns whether the conclusion generalizes to other settings, populations, or periods. Construct validity concerns whether measures represent the intended concepts. Statistical conclusion validity concerns whether the analysis appropriately supports claims about relationships or effects.

Reliability may concern internal consistency, inter-rater agreement, or stability over time. Researchers should use validated instruments when suitable, document adaptations, and avoid treating reliability as proof of validity.

Reproducibility requires a clear data dictionary, versioned code or documented procedures, an analysis plan, and an audit trail from source data to reported result. Reproducibility does not require exposing confidential employee records. De-identified, access-controlled materials and reproducible summaries can support auditability while protecting privacy.

7. Ethics, Governance, and Responsible HR Analytics

HR data concern people’s livelihoods, dignity, and opportunities. Ethical analytics therefore extends beyond statistical correctness.

Key principles include:

  • Purpose limitation: Collect and use data for a legitimate, specified purpose.
  • Data minimization: Use the least personal data needed.
  • Transparency: Explain relevant collection and decision processes.
  • Confidentiality and security: Restrict access and protect sensitive records.
  • Fairness: Test for disparate impact and unequal error rates where appropriate.
  • Human oversight: Do not delegate consequential employment decisions blindly to an algorithm.
  • Contestability: Provide routes for correction, explanation, and appeal.
  • Proportionality: Match the intrusiveness of data use to the value and risk of the decision.

Legal requirements vary by jurisdiction and may include employment discrimination law, privacy and data-protection law, record-retention rules, and requirements concerning automated decision-making. Compliance is a minimum, not a complete ethical standard.

Predictive models require special caution. A model that predicts turnover may reproduce historical inequities if past decisions were biased. Proxy variables can encode protected characteristics even when those characteristics are excluded. Fairness assessment should examine data quality, subgroup performance, decision thresholds, business necessity, and possible remediation. Explainability should be meaningful to affected employees and decision makers, not merely a technical score.

8. Technology and Contemporary Practice

Modern HR analytics increasingly combines HRIS, applicant-tracking, learning, survey, scheduling, and collaboration data. Machine learning can improve prediction, but prediction is not intervention and neither is proof of causation. A highly accurate model may identify who is likely to leave without revealing which action would help.

Generative AI can assist with coding, survey drafting, documentation, and plain-language communication, but outputs require human verification. Sensitive employee data should not be entered into unapproved systems. Analysts should check hallucinated citations, hidden assumptions, discriminatory language, and unauthorized disclosure. AI-assisted research should preserve an accountable human author, documented prompts or procedures where relevant, and a review trail.

Contemporary best practice is increasingly focused on decision intelligence: integrating causal reasoning, employee voice, operational feasibility, and continuous evaluation. The central question is not “Can we predict this?” but “What decision will this evidence improve, for whom, at what cost and risk?”

9. Illustrative Case: Evaluating a Flexible-Work Policy

Background

A fictional professional-services organization introduced a hybrid-work policy in its technology division. The finance division retained its previous schedule. Senior leaders wanted to know whether the policy reduced voluntary turnover without harming client-service performance.

Problem

A simple comparison of turnover rates after implementation would be misleading because the technology and finance divisions differed in job mix, labor-market conditions, and baseline turnover. The evaluation needed a comparison over time and a defined outcome.

Analysis and approach

The analyst defined voluntary turnover as an employee-initiated separation within six months of the policy start date. Quarterly turnover rates were collected for four quarters before and two quarters after implementation. Client-service performance was measured using a standardized service metric. Pre-policy trends were plotted for both divisions, and workforce composition was compared.

A difference-in-differences estimate was planned:

δ̂ = (ȲTechnology,after − ȲTechnology,before) − (ȲFinance,after − ȲFinance,before)

Suppose technology turnover fell from 12% to 8%, a change of −4 percentage points. Finance turnover fell from 10% to 9%, a change of −1 percentage point. The estimated difference-in-differences is −4 − (−1) = −3 percentage points. The result suggests that the policy was associated with a three-percentage-point additional reduction in technology turnover, subject to the parallel-trends assumption and the absence of another technology-specific change.

The analyst also examined performance, employee survey responses, and subgroup results. If the apparent reduction occurred only among senior employees, the policy might not address retention among early-career staff. If performance worsened, leaders would need to consider whether the turnover benefit justified the service impact.

Outcome and action

The organization piloted manager training on hybrid-team coordination and continued monitoring for another two quarters. It did not claim that flexible work alone caused the reduction. The evaluation report documented the comparison group, pre-policy trends, outcome definitions, uncertainty, possible concurrent changes, and privacy safeguards.

Learning points

  1. A comparison group strengthens inference but does not eliminate assumptions.
  2. Baseline trends and concurrent events must be investigated.
  3. Multiple outcomes are necessary when an intervention has potential benefits and costs.
  4. An estimate should lead to a testable action and follow-up evaluation, not an unsupported universal policy.

Best-Practice Checklist

Before approving an HR analytics project, ask:

  1. Is the decision and target population clearly defined?
  2. Is the outcome operationalized before analysis?
  3. Does the design support the strength of the intended claim?
  4. Is the sample appropriate, and could selection bias distort results?
  5. Are temporal order, confounding, and alternative explanations addressed?
  6. Are effect sizes and uncertainty reported?
  7. Are subgroup impacts and fairness risks assessed?
  8. Are privacy, security, consent, and access controls adequate?
  9. Can the analysis be reproduced and audited?
  10. Is there a measurable action, owner, timeline, and evaluation plan?

Chapter Summary

HR analytics is an evidence-to-action process beginning with a decision-relevant problem and ending with monitored organizational action. Strong projects define the population, constructs, variables, outcomes, and hypotheses before choosing a design. Descriptive and observational designs are valuable for understanding patterns, while randomized experiments provide strong causal evidence when feasible. Quasi-experimental designs, including difference-in-differences, can evaluate real policies when randomization is unavailable, but their assumptions must be examined.

Sampling quality, measurement validity, data preparation, and transparent reporting are as important as statistical technique. Correlation indicates association, not causation; confounding, reverse causality, and selection bias must be considered. Analysts should communicate effect sizes, uncertainty, assumptions, limitations, and practical implications. Ethical HR analytics requires privacy, fairness, transparency, human oversight, and opportunities for correction. Predictive and generative AI can support analysis, but neither replaces causal reasoning or professional accountability.

Key Terms

Analytical lifecycle: The sequence from problem framing and research design through analysis, action, and evaluation.

Causal effect: The difference between an outcome under an intervention and the outcome that would have occurred without it.

Confounding: Distortion caused by a variable related to both the presumed cause and outcome.

Construct: An abstract concept, such as engagement or burnout, requiring operational measurement.

Control group: A comparison group that does not receive the focal intervention or receives usual practice.

Correlation: Statistical association between variables, especially linear association when measured by Pearson’s r.

Difference-in-differences: A quasi-experimental estimator comparing changes over time between treated and comparison groups.

External validity: The extent to which findings generalize beyond the studied setting.

Hypothesis: A testable proposition about a relationship or difference.

Internal validity: The credibility of a conclusion about the studied units and causal relationship.

Mediator: A variable that helps explain the pathway between an exposure and an outcome.

Moderator: A variable that changes the strength or direction of a relationship.

Null hypothesis: A reference proposition, often stating that no difference or association exists.

Operationalization: The specification of how an abstract construct will be measured.

Population: The full group to which a study seeks to generalize.

Quasi-experiment: A design estimating effects without random assignment, using a comparison structure.

Reliability: Consistency or stability of a measurement process.

Sample: The observed subset drawn from a population.

Selection bias: Systematic distortion arising when inclusion or participation is related to study variables.

Unit of analysis: The entity about which conclusions are drawn, such as an employee, team, or department.

Review Questions

Short Answer Questions

  1. What elements should be included in a well-framed HR analytics problem?
  2. Distinguish an independent variable, dependent variable, mediator, and moderator.
  3. Why does correlation not establish causation?
  4. What is the purpose of a comparison group in a quasi-experiment?
  5. State two ethical principles relevant to HR analytics.

Long Answer Questions

  1. Explain the HR analytics lifecycle and show how weaknesses at one stage can affect later stages.
  2. Compare randomized experiments, quasi-experiments, and observational designs in terms of causal inference, feasibility, and limitations.
  3. Explain confounding, reverse causality, and selection bias using HR examples.
  4. Discuss probability and non-probability sampling and explain why a large voluntary sample may still be biased.
  5. Explain how an HR analyst should communicate uncertainty, practical significance, and limitations to senior managers.

Analytical / Application Questions

  1. A company observes that employees who complete leadership training receive higher performance ratings. Design an evaluation that addresses self-selection into training and explain the assumptions required.
  2. A new attendance policy is introduced in one warehouse but not another. Turnover falls in both warehouses, but it falls more in the treated warehouse. Propose a difference-in-differences analysis and identify at least three threats to validity.
  3. An AI model predicts that some employees are likely to resign. Recommend a responsible process for deciding whether and how to intervene, including fairness, privacy, human oversight, and outcome evaluation.

Multiple Choice Questions with Answers

Question 1

Which sequence best represents the HR analytics lifecycle?

A. Data collection → dashboard design → hiring → budgeting

B. Problem framing → hypothesis development → design → data collection → analysis → action and evaluation

C. Model selection → data deletion → reporting → problem framing

D. Survey distribution → causal conclusion → sampling → intervention

Correct Answer: B. Problem framing → hypothesis development → design → data collection → analysis → action and evaluation

Question 2

Which statement best describes a mediator?

A. A variable that determines who enters the sample

B. A variable that explains part of the pathway between an exposure and an outcome

C. A variable that is always controlled in an experiment

D. A variable used only to calculate a mean

Correct Answer: B. A variable that explains part of the pathway between an exposure and an outcome

Question 3

What is the principal advantage of random assignment in an experiment?

A. It guarantees a large sample

B. It removes the need to measure outcomes

C. It tends, in expectation, to balance observed and unobserved characteristics between groups

D. It guarantees that the intervention will be effective

Correct Answer: C. It tends, in expectation, to balance observed and unobserved characteristics between groups

Question 4

In a difference-in-differences study, the parallel-trends assumption means that:

A. Both groups must have identical outcomes after treatment

B. The treated group must be larger than the comparison group

C. Without the intervention, the groups would have experienced similar average trends

D. All employees must receive the intervention simultaneously

Correct Answer: C. Without the intervention, the groups would have experienced similar average trends

Question 5

A study reports r = −0.70 between engagement and voluntary turnover. What is the safest interpretation?

A. Higher engagement is proven to cause lower turnover

B. There is a strong negative linear association, but causation is not established

C. Seventy percent of employees will avoid turnover

D. The study has no measurement error

Correct Answer: B. There is a strong negative linear association, but causation is not established

Question 6

Using ME ≈ z × √(p(1 − p) ÷ n), what is the approximate 95% margin of error when p = 0.50 and n = 400?

A. 1.96 percentage points

B. 2.5 percentage points

C. 4.9 percentage points

D. 9.8 percentage points

Correct Answer: C. 4.9 percentage points

Question 7

Which sampling method divides a population into relevant groups and samples within each group?

A. Stratified sampling

B. Convenience sampling

C. Voluntary-response sampling

D. Simple case selection

Correct Answer: A. Stratified sampling

Question 8

Which situation is an example of reverse causality?

A. Job level affects both training participation and performance

B. Employees expecting to leave report lower engagement, rather than low engagement causing departure

C. Some survey respondents omit an answer

D. A manager uses a validated performance scale

Correct Answer: B. Employees expecting to leave report lower engagement, rather than low engagement causing departure

Question 9

Why is a large voluntary-response survey not necessarily representative?

A. Large samples cannot measure attitudes

B. Voluntary respondents may systematically differ from nonrespondents

C. Probability samples are always smaller

D. Response rates do not affect generalizability

Correct Answer: B. Voluntary respondents may systematically differ from nonrespondents

Question 10

Which practice is most consistent with responsible HR analytics?

A. Use every available variable to maximize prediction

B. Automate employment decisions without appeal

C. Collect only necessary data, assess fairness, protect privacy, and maintain human oversight

D. Report only statistically significant findings

Correct Answer: C. Collect only necessary data, assess fairness, protect privacy, and maintain human oversight

HR Analytics
Chapter 5 of 14