RES5303 Module 2 sampling analysis paper example

Reviewed by Hollis Fairweather, PhD · American College of Education · True APA form, annotated

This page holds a complete RES 5303 Module 2 example in true APA form: a sampling analysis paper for American College of Education's Research Methods and Applied Statistics in Healthcare course. A composite outpatient surgery center reports that 94 percent of surveyed patients would recommend it, based on the 19 percent who returned a mailed survey. The paper examines the sampling frame, the sampling method and the pattern of nonresponse, explains what the sample can and cannot represent, and proposes a stratified design that would support a stronger claim.

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Who Answered and Who Did Not: What a 19 Percent Patient Experience Survey Sample Can Honestly Represent at an Outpatient Surgery Center

Student Name

American College of Education

RES5303: Research Methods and Applied Statistics in Healthcare

Module 2 Assignment

Instructor Name

September 13, 2027

What this page is doingThe title states the response rate and asks the module's question directly, what the sample can honestly represent, so the grader knows the paper will test a claim against its sample. The surgery center is a composite. The APA 7 title page carries the course line and module assignment as listed.
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The Claim and Its Sample

An outpatient surgery center, a composite created for this assignment, performs about 7,200 procedures a year in orthopedics, ophthalmology, gastroenterology and general surgery. Its marketing materials state that 94 percent of patients would recommend the center to friends and family. The figure comes from a patient experience survey mailed to every patient within a week of their procedure. In the most recent year, 1,368 of the 7,200 surveys were returned, a response rate of 19 percent, and 1,286 of the returned surveys answered the recommendation question positively.

The claim is about all patients: 94 percent of them would recommend the center. The evidence behind it comes from the 19 percent who chose to respond. Whether the claim is justified depends on how those respondents relate to everyone else, and that is a question about sampling. A sample does not represent a population simply because it came from it; it represents the population only to the extent that the process of getting into the sample did not depend on the thing being measured.

What this page is doingThe claim and the numbers behind it are stated precisely, with the arithmetic available to the reader, before any analysis begins. The highlighted sentence gives the central principle of sampling that the rest of the paper applies.
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Population, Frame and Method

The target population, the group about which the center wants to make its claim, is all patients who had a procedure at the center during the year. The sampling frame, the list from which the survey was actually drawn, is the scheduling system's list of completed procedures with a valid mailing address. The frame is close to the population but not identical: about 4 percent of patients had no usable address, including patients with unstable housing and some who gave a relative's address, so they could not be surveyed at all. That is a small coverage gap, but not a random one.

Technically, the center did not draw a sample; it attempted a census, surveying every patient on the frame. The sample was produced by patients themselves, through the decision to return the survey. That makes it a self-selected sample, a form of nonprobability sampling in which each patient's chance of inclusion depends on their own choice and cannot be known in advance. Polit and Beck (2021) note that nonprobability samples can be informative, but that their results cannot be generalized to a population with the confidence that probability sampling allows, because the selection process may be related to the outcome.

What this page is doingThe paper distinguishes target population, sampling frame and the realized sample, and identifies the coverage gap with its likely direction. Recognizing that an attempted census becomes a self-selected sample through nonresponse is a sophisticated point that graders reward.
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Who Responded

Comparing respondents with the full frame on data the center already holds shows that the respondents were not a miniature of the patient population. Among respondents, 58 percent were aged 65 or older, compared with 39 percent of all patients. Medicaid and self-pay patients made up 21 percent of all patients but 9 percent of respondents. Ophthalmology patients, most of them older adults having cataract surgery, were 30 percent of patients and 44 percent of respondents, while general surgery patients were underrepresented.

The same pattern appears in published work. Tyser et al. (2016) examined responses to a widely used commercial patient satisfaction survey among orthopedic patients and found that only 16.5 percent responded, that older age strongly increased the odds of responding and that male sex, Medicaid or self-pay insurance and trauma subspecialty care decreased them. The center's respondents resemble that profile: older, more often privately insured or on Medicare and weighted toward elective, predictable procedures. If those patients also tend to report more positive experiences, the 94 percent figure would overstate the experience of the whole population.

What this page is doingThe comparison uses data the organization already holds to show exactly how respondents differ, with percentages for each group. A published study with a closely matching pattern supports the concern, and the paper states the implication conditionally rather than assuming bias.
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Response Rate Is Not the Same as Response Bias

It is tempting to conclude that a 19 percent response rate makes the survey worthless. That conclusion is too quick. Groves (2006) reviewed studies that measured both response rates and nonresponse bias and found that the response rate alone was a poor predictor of bias. What matters is whether the likelihood of responding is related to the variable being measured. A survey with a low response rate can be nearly unbiased if people respond for reasons unrelated to the question, and a survey with a high response rate can be badly biased if the missing few are systematically different.

For this survey, the question is whether patients who had a worse experience were less likely to respond. Two findings suggest they may have been. Groups that responded less, younger patients, Medicaid and self-pay patients and general surgery patients, are also groups that in the center's own complaint log report more problems with wait times and billing. And survey mode matters: Elliott et al. (2009), in an experiment with a national hospital patient experience survey, found that patients randomized to telephone and interactive voice modes gave more positive evaluations than those randomized to mail, and that mode and patient mix adjustments were needed for fair comparisons. The low response rate is a warning; the pattern of who did not respond is the evidence.

What this page is doingThis section corrects a common misconception using a methodological review, then applies the correct principle to the specific survey. The mode effect evidence adds a second, independent reason for caution. The highlighted sentence summarizes the distinction in a quotable way.
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What the Sample Can Honestly Represent

The sample can support a narrower claim than the one the center makes. It can honestly say that 94 percent of patients who returned the survey would recommend the center, and it can report that figure for subgroups where respondents are numerous, such as ophthalmology patients aged 65 and older. It cannot support a claim about all patients, and it cannot be used to compare service lines fairly, because the service lines differ so much in who responded.

The sample is still useful for improvement. Comments from 1,368 patients identify specific problems, and trends over time within the same survey method can show whether a change made a difference among the kinds of patients who respond. What the sample cannot do is stand in for the patients who did not answer, who are younger, less often privately insured and more often in the service lines with the most complaints.

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A Design That Matches the Claim

If the center wants to make claims about all its patients, it needs a probability sample with active follow-up. The proposed design stratifies the patient population by service line and insurance type, creating eight strata, and draws a random sample of 80 patients from each stratum every quarter, or 640 patients a quarter. Each sampled patient receives the mailed survey, followed by a text message with a web link after five days and a telephone call after ten days for those who have not responded. Mixing modes this way tends to raise response among groups less likely to return mail, and the design records the mode of each response so that mode effects can be adjusted for in analysis, as Elliott et al. (2009) recommend.

Results would be weighted back to the population using the known size of each stratum, so that underrepresented groups count in proportion to their share of patients. With 640 patients sampled a quarter and a target response rate of 45 percent, the center would have about 290 responses a quarter, enough to estimate the overall recommendation rate within about 6 percentage points with 95 percent confidence. That is a smaller sample than the current census, and a far more honest one.

What this page is doingThe redesign is specific about strata, sample sizes, contact sequence and weighting, and it builds in mode recording because of the evidence cited earlier. The final estimate of precision shows the writer can connect sample size to a claim, which is exactly what this module is building toward.
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Conclusion

The center's 94 percent figure rests on a self-selected sample of 19 percent of patients who are older, more often privately insured and concentrated in one service line. The low response rate alone does not prove bias, but the pattern of nonresponse and the evidence on survey mode suggest the figure overstates the experience of patients as a whole. The existing survey can honestly describe its respondents and track trends among them. A stratified probability sample with mixed-mode follow-up and weighting would allow the claim the center wants to make, supported by a sample designed to make it.

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References

Elliott, M. N., Zaslavsky, A. M., Goldstein, E., Lehrman, W., Hambarsoomians, K., Beckett, M. K., & Giordano, L. (2009). Effects of survey mode, patient mix, and nonresponse on CAHPS hospital survey scores. Health Services Research, 44(2, Pt. 1), 501-518. https://doi.org/10.1111/j.1475-6773.2008.00914.x

Groves, R. M. (2006). Nonresponse rates and nonresponse bias in household surveys. Public Opinion Quarterly, 70(5), 646-675. https://doi.org/10.1093/poq/nfl033

Polit, D. F., & Beck, C. T. (2021). Nursing research: Generating and assessing evidence for nursing practice (11th ed.). Wolters Kluwer.

Tyser, A. R., Abtahi, A. M., McFadden, M., & Presson, A. P. (2016). Evidence of non-response bias in the Press-Ganey patient satisfaction survey. BMC Health Services Research, 16, Article 350. https://doi.org/10.1186/s12913-016-1595-z

How this RES 5303 Module 2 example is structured

RES 5303 Module 2 typically covers sampling and what a drawn sample can honestly represent; your classroom's instructions decide whether the paper critiques an existing sample or designs a new one. This example does both. It starts with the claim being made, describes the population, frame and method behind it, then examines who responded and why that matters, using published evidence on nonresponse. A separate section distinguishes response rate from response bias, a point students often confuse. The proposed redesign ends the paper with a sample that matches the claim the center wants to make.

RES5303 Module 2 questions, answered

What does RES5303 Module 2 usually ask for?

RES5303 Module 2 typically covers sampling: the difference between a population, a sampling frame and a sample, the main probability and nonprobability methods, and what a given sample can represent. Many sections ask students to critique a sample or design one for their own question. Your classroom's instructions decide which.

Does a low response rate always mean a survey is biased?

No. Bias depends on whether the likelihood of responding is related to what the survey measures. A low response rate raises the risk, but the key evidence is how respondents differ from nonrespondents on characteristics linked to the outcome. Compare the two groups on data you already hold before drawing a conclusion.

What is stratified random sampling?

Stratified random sampling divides the population into groups, or strata, such as service lines or insurance types, and draws a random sample from each. It ensures that important subgroups are represented and allows results to be weighted back to the population. It is especially useful when some groups are small or tend to respond less.

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