Types of Sampling Errors And How You Can Avoid Them

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In statistics, a sample refers to a subset of a larger population. The sample allows researchers to conduct their study on a part of their target population so that they can work with manageable data in a timely and cost-effective manner.

However, the true power of a sample lies in its ability to represent the larger population. To acquire data that is generalizable to your target population, it is crucial to select a sample group that mirrors the characteristics of your target population.

A representative sample will have the same composition as that of the larger population. However, when researchers fail to select a target population that is representative, it results in sampling error.

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What is a Sampling Error?

It is a statistical error that occurs when a researcher fails to select a sample representative of the entire population. When sampling error occurs, the results obtained from the sample are not reflective of the results that would be obtained from the target population itself. This can lead to misleading conclusions and less generalizable findings, highlighting the importance of avoiding sampling errors.

The only way to completely eliminate sampling error from a study is to observe every element in a population, which is not feasible and is even impossible in some cases. Therefore, sampling error cannot be completely avoided, as no sample will ever be fully representative of the target population.

However, by understanding sampling error, we can estimate its size and take measures to minimize it, making our study’s findings as generalizable to the larger population as possible.

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Sampling Errors Vs. Non-sampling Errors

We can categorize the errors in statistical analysis into two main types: sampling errors and non-sampling errors. Each type of error has unique characteristics and sources. Understanding these two types and the key identified can help you recognize them and mitigate their impact.
1. Sampling errors:
This occurs due to a discrepancy in a sample of population that is used to estimate the characteristics of entire population. It happens due to the fact that a sample may not be an accurate representation of the target population.
Key identifiers of sampling errors include:
A. Sample size:
A larger sample size ensures a more precise estimate and representation of the entire population. While, smaller sample sizes tend to generate outcomes with greater variability.

B. Sampling bias:
This occurs when the sampling method you use systematically favors a certain outcome. For instance, if you gather household income data from rural population and exclude urban demography, the outcome will over-represent low-income household. This leads to an inaccurate representation.

C. Sampling frame errors:
This error can arise if your sampling frame does not represent the target population. For example, if your sampling frame excludes a certain demographic, you will not be able to generalize the data from the resulting sample to the entire population of interest.
Non-sampling errors:
This type of error is unrelated to the sampling process. However, it can still affect the research outcomes. The errors in this category arise at any stage of data collection or analysis.

A. Measurement errors:
This occurs when there are inconsistencies in the data collection. This can happen due to human error in data entry or ambiguous questions.

B. Non-response:
This occurs when participants do not respond to the survey. It can occur if certain groups are more likely to participate in the survey.

C. Coverage errors:
This can happen if you exclude a certain group of individuals within the target population from your sampling frame.

D. Response errors:
It can occur when respondents, intentionally or unintentionally, provide you with misleading or inaccurate information.

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Types of Sampling Errors

Sampling errors can be caused by a range of different causes. By understanding what causes sampling error, we can take measures to minimize it. 

The following is a list of the most common types of sampling errors. 

 1. Sampling frame error

This occurs when the sample is selected from the wrong population data or if the sample doesn’t accurately represent the target population. This error generally includes targeting the wrong population segments or completely missing out on certain demographics within the correct segments. 

Mitigate this type of sampling error by: 

  • Evaluating the list or source from which you draw the sample to ensure it accurately represents the population you are interested in studying. 
  • Expanding the sampling frame of your research to include any segments that may have otherwise been overlooked. 

 2. Selection error

This error occurs when you systematically exclude a sample or participants who opt to participate in the study, and therefore, only those interested participate in the survey. This can lead to gathering biased opinions, resulting in distorted outcomes. 

If researchers overlook respondents who didn’t initially respond, the outcome will not reflect the target market. If, instead, the researcher decides to follow up with the respondents who didn’t initially participate in the survey, the outcome is very likely to change.   

Avoid selection error from harming your research findings by: 

  • Utilizing random sampling techniques to ensure every individual of the intended population has an equal chance of participating in the study. 
  • Minimize self-selection as a way to gather respondents. 
  • Encourage diversified participation by offering incentives or ensuring anonymity. 

3. Population specification error

This is a type of sample design issue that is caused when a researcher fails to outline who they want to survey clearly and therefore, does not have a clear idea of their target population. When you don’t have a clearly defined target population, you may select inappropriate elements to be a part of your sample group. 

Mitigate this type of sampling error by: 

  • Defining the population of interest with specific criteria based on the research objective will ensure clarity and help you understand whether the sample is relevant to the research purpose. 
  • Using random or stratified sampling methods to ensure a representative sample. 

4. Non-response error

Non-response errors occur from the failure to obtain responses from all units in the selected sample group. The decrease in the sample size and amount of information collected will result in a larger standard error. Additionally, a bias is introduced at the risk of non-respondents differing from the respondents within the selected sample. 

 Address non-response errors by:

  • Using follow-up surveys to encourage participation and improve survey response rates. 
  • Monitor survey progress in real-time to identify non-response patterns and adjust sampling strategies accordingly. 

5. Coverage errors

This type of sampling error arises when your sampling frame does not include all the relevant members of the population. It can occur due to outdated sources of samples or inadequate coverage of certain segments. 

Mitigate coverage errors by: 

  • Regularly updating the sample frames so they reflect the population and maintain relevancy. 
  • Leverage multiple sources to create the sampling frame. 



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Sampling Error 5-Point Likert Scale

Real-World Example of Sampling Error

To gain a deeper understanding of sampling error, let’s take a look at a real-life example where a study had a large sampling error. We will also take a look at what caused this sampling error.

In the 1936 presidential election, Alfred Landon, the Republican governor of Kansas, was pitted against the incumbent President, Franklin D. Roosevelt. At the time, Literary Digest was one of the most respected magazines and had accurately predicted the winners of multiple presidential elections within the previous decades.

For this election, Literary Digest conducted a poll about the election, and with the data collected, they predicted that Landon would win the election with 57% of the votes while Roosevelt will lose with 43%.

The actual outcome of the election was jarringly different, with 62% of the votes going to Roosevelt and 38% going to Landon.

In this case, the sampling error was a shocking 19% even though this was one of the largest and most expensive polls conducted by Literary Digest and had a sample size of around 2.4 million people.

This large sampling error was caused specifically by to sampling frame error, as the sample frame was from telephone directories and car registrations. However, at the time, many Americans did not own cars and phones, and the ones who did were largely Republicans. For this reason, the results wrongly predicted a Republican Victory.

How to Estimate the Sampling Error?

The margin of error that is seen in survey results is an estimate of sampling error. The following formula can be used to calculate your sampling error:

The margin of error that is seen in survey results is an estimate of sampling error. The following formula can be used to calculate your sampling error: 


Sampling Error= Z x (σ/n)

Z = Z score value based on the confidence interval (approx=1.96)

σ = Population standard deviation

n = Size of the sample

It is important to note that as this value is simply an estimate, there is a small chance (5% or less) that the margin of error is more than what is stated in the report.

Related Read: How to Ensure Your Survey Delivers Better Results



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Ways to Reduce Sampling Errors In Your Research

There are many different measures that can be taken to reduce the 5 types of sampling error.

Let’s explore a few of the most effective ways to do so:

1. Select a larger sample size:

When you select a larger sample size, it becomes closer to the actual population size. This makes the sample more representative of your target population and reduces the margin of error. It can help you ensure that all demographics or customer segments get the opportunity to share their opinion. 

A large sample size empowers you with relevant, reliable, and accurate insights that you can generalize with the larger population. 

 2. Improve sample design with appropriate sampling methods:

You can reduce your sampling error by improving your sample design and accounting for the different sub-populations within your target population. 

You can do this by utilizing probability or non-probability sampling methods, depending on your research objective and scope. 

Probability sampling methods include: 

  • Simple random sampling
  • Systematic sampling
  • Stratified sampling
  • Cluster sampling

Non-probability sampling methods include: 

  • Convenience sampling
  • Quota sampling
  • Purposive sampling
  • Snowball or referral sampling

3. Study your target population:

Before you select a sample, it is integral that you have a thorough understanding of your target population and its demographic mix. Study your target population well so that you can clearly and accurately outline who makes up your target population so that this subpopulation can be targeted effectively. 

4. Reduce non-response bias: 

This bias can cause you to miss out on many insightful data and experiences. Addressing and mitigating non-response bias can help encourage authentic and reliable data collection. Take proactive measures like implementing follow-up surveys, sending survey reminders, offering incentives, and designing anonymous surveys to encourage respondents to participate. 

5. Improve measurement accuracy:

It is crucial to minimize any errors during data collection and analysis to ensure your findings are reliable and valid. Pilot test your data collection process from survey questions, device-responsiveness, to the usability of the survey link, ensuring everything is error-free. Leverage survey software that offers secured data collection and maintains industry standards to ensure consistency and reliability. 

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Conclusion

Sampling error is the arch nemesis of research. It ruins the credibility of your research outcomes and leads to wasted effort. Thankfully, there are many ways to control and prevent this sampling error as mentioned in the article.

Stay cautious of these types of sampling errors to avoid them from sneaking into your research.

 

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