How To Determine Survey Sample Size: A Short Guide (2024)

What is Survey Sample Size?

A survey sample size is the number of participants in a study. In other words, the number of people who responded to your survey.

When conducting any survey, one of your main goals is to get results that are statistically significant. This means enough responses to infer conclusions with confidence.

Sample size usually refers to surveying large populations. So, if all you want to do is find out your 500 customers’ satisfaction, you likely won’t have trouble getting a representative sample.

Use this template

On the other hand, if you want to see how many marketers in the US are potential customers for you, you’ll have to make do with a statistically significant portion of them.

PS: Check out this persona survey template to figure out where to look for potential customers!

Use this template

What is a Good Sample Size for a Survey?

When the sample size is too small, you may get a disproportionately small or large number of outliers. This can skew results significantly.

On the other hand, while surveying more people will always get you more accurate results, it is often unfeasible, complex, and expensive. Oftentimes, surveying the entire population is not worth the time and effort.

So, what’s the golden mean?

Many statisticians concur that a sample size of 100 is the minimum you need for meaningful results. If your population is smaller than that, you should aim to survey all of the members.

The same source states that the maximum number of respondents should be 10% of your population, but it should not exceed 1000.

For instance, if you have a population of 250,000, 10% would be 25,000. Since this is higher than 1,000, a sample size of 1,000 should be enough to get you statistically significant results.

How to Determine Sample Size for a Survey

Calculating sample size can be made easier with software such as a calculator. Still, let’s have a look at what the process is like behind the scenes.

Sample Size Formula

The survey sample size is usually determined with a take on Slovin’s formula.

How To Determine Survey Sample Size: A Short Guide (1)

Here is what you’ll need.

“P”, which is your standard deviation

This is how confident you can be that a population will select an answer within a given range. In plain English, this would be how extreme you can expect the responses to be.

A low standard deviation means that you don’t expect your respondents to be extreme. A higher standard deviation will mean that you expect respondents to choose answers from the ends of the spectrum.

Standard deviation is given as a number between 0 and 1. If you are unsure, go with 0.5, which is the exact midway point. Bear in mind, though, that this might make your results more estimated.

“Z”, which represents your “z score”

Your z score is the number of standard deviations a given group is away from the mean.

Thankfully, you can use a cheat sheet to determine your “z score”, depending on how confident you want to be about your results.

For example

  • 99% desired confidence level would equal a z score of 2.58
  • 95% would equal 1.96
  • 90% is 1.65
  • 85% is 1.44

According to Lisa Sullivan, Professor of Biostatistics

“a 95% confidence interval means that if we were to take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value”.

In layman’s terms, if you calculate your sample size with a z score of 1.96, then if you were to repeat your survey 100 times, you would get the same mean result about 95 times.

“E”, which is your margin of error

The margin of error is basically how sure you need to be that the results are accurate for the entire population. The bigger the margin of error, the less reliable your results are.

You usually want the margin of error at around 5% or less. This means you can be 95% or more sure that your results are accurate.

For example, let’s say you discover that 85% of your respondents find your customer service effective. If you assumed a 5% margin of error, you must add 5% to either side of the score.

In essence, you can assume that 80-90% of your customer base is satisfied with your customer service.

The margin of error should be provided in decimal form. Note that the smaller margin of error you want, the larger your sample size will be.

And finally, “N”, which is your population size

The population is all the people whose attitudes or stances you are trying to learn about.

The population could be anything from all of your customers to all people on Earth. The bigger your population, the bigger your sample will need to be in order to get reliable results.

When you know what your population is, you need to figure out how many people are in that category.

For instance, if you wanted to get accurate survey results for the entire US, your population size would be 329.5 million (source: World Bank, 2020).

If you wanted to run an NPS campaign, you’d consider all of your existing customers.

Calculation: What Sample Size is Needed for a Survey?

Determining the sample size begins with considering the population in a study.

So, let’s say I wanted to survey a population of 500, and I want to be 5% confident that I will get accurate results 95% of the time. I would need to survey 218 people.

This formula may seem confusing. You can use this spreadsheet I prepared to skip the manual labor. Make sure to copy the spreadsheet and edit only the green fields.

Let’s work with another example. We’ll assume the following values:

  • 95% confidence level
  • 0.5 standard deviation
  • 5% margin of error
  • Population of 10,000

How To Determine Survey Sample Size: A Short Guide (2)

Using our spreadsheet, you can see that you should survey at least 370 people. And Survicate is currently working on a sample size calculator, so stay tuned!

Once you have your sample size, you have to account for your response rate. You can expect it to be more or less 20-30%. If you expect to get fewer responses, send the survey to a larger number of people to reach your sample size milestone.

How to Decide Who to Include in Your Sample?

For small to medium-size businesses, the method of getting a sample is usually to send the survey to the entire customer base and hope to get enough responses.

But you may want to target your survey as well. For example, if your previous survey showed you have relatively few NPS detractors, you may want to target them specifically to find out whether their score had changed or to get more details.

Nonetheless, choosing a random sample will usually get you the most reliable results for your population.

What if You Can’t Get Enough Responses?

Sometimes, you just can’t get the number of responses to match that magical sample size you desire. Using best survey tools may help boost your response rate, but what if you still can’t get close to 100?

Calculating sample size in survey research is still important. You can benchmark how many more responses you need and thus, how you can treat incomplete results.

While your results may not be statistically significant, you can still use the feedback to fuel your business decisions. The answers will still be valuable, especially if you make good use of open-ended questions for context.

Send surveys through any channel with Survicate

Generally speaking, most surveyors want the results to be as comprehensive as possible. The more responses you get, the better. The only limiting factors are time and money.

With survey software like Survicate, you can target your audience directly through your website, email, or app, without having to manually reach out or ask bystanders. This cuts down on the required time and effort considerably.

Simply use one of our ready-to-send templates and start gathering feedback. Now, you can take advantage of our 10-day free trial to test all Business plan features with up to 25 survey responses.

How To Determine Survey Sample Size: A Short Guide (4)

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How To Determine Survey Sample Size: A Short Guide (2024)

FAQs

How To Determine Survey Sample Size: A Short Guide? ›

All you have to do is take the number of respondents you need, divide by your expected response rate, and multiple by 100. For example, if you need 500 customers to respond to your survey and you know the response rate is 30%, you should invite about 1,666 people to your study (500/30*100 = 1,666).

How do you determine the sample size for a very small population? ›

To determine the sample size for small populations, we use the normal approximation to the hypergeometric distribution. The sample size formulas for large (binomial) and small (hypergeometric) populations are shown below. p and q are the population proportions. (If you don't know what these, are set them each to 0.5.

What is the sample size for mini survey? ›

Mini survey questionnaires are designed to be completed within half an hour, at most. To save time and resources, sample size is also kept small, usually 25–70 cases. This is the most important characteristic of mini surveys, one that distinguishes them from large socioeco- nomic surveys.

What is the formula for determining sample size? ›

Sample Size Formula for Infinite and Finite Population
Formulas for Sample Size (SS)
For Infinite Sample SizeSS = [Z2p (1 − p)]/ C2
For Finite Sample SizeSS/ [1 + {(SS − 1)/Pop}]

What is the sample size for a Likert scale survey? ›

Some researchers believes it is desirable to have at least 10 respondents for each item being tested in a factor analysis, Further, up to 300 responses is not unusual for Likert scale development according to other researchers.

What is the rule of thumb for sample size? ›

While determining sample size, it is usually recommended to include 20 to 30% of the population as a sample size in the form of a rule of thumb. If you take this much sample, it is usually acceptable.

What is a good sample size for a survey? ›

A good maximum sample size is usually around 10% of the population, as long as this does not exceed 1000. For example, in a population of 5000, 10% would be 500. In a population of 200,000, 10% would be 20,000. This exceeds 1000, so in this case the maximum would be 1000.

What is the easiest way to determine sample size? ›

The easiest way to define your sample size is using a sample size calculator, or you can use a manual sample size calculation if you want to test your math skills. Cochran's formula is perhaps the most well known equation for calculating sample size, and widely used when the population is large or unknown.

What is the Fischer's formula for sample size? ›

The minimum required sample size was calculated using Fisher's formula: N= z-score^2*stDev*(1-stDev)/confidence interval^2. 15 Where N indicates the sample size, and (z) indicates the level of confidence.

How to determine the sample size of an unknown population? ›

For sample size calculation of unknown population size, you can use the following formula: n= z2. [p*q]/d2), which is used to calculate the sample size of a qualitative variable in prevalence or cross-sectional studies.

What is a good sample size for qualitative survey? ›

Based on research, 30 seems to be an appropriate number for the most comprehensive assessment. Some studies are successful with as few as 10 participants, but this depends heavily on the quality of screening and recruiting the most appropriate participants, as well as the industry of your study.

What is sample size in survey experiment? ›

All you have to do is take the number of respondents you need, divide by your expected response rate, and multiple by 100. For example, if you need 500 customers to respond to your survey and you know the response rate is 30%, you should invite about 1,666 people to your study (500/30*100 = 1,666).

What is the minimum sample size? ›

Some researchers do, however, support a rule of thumb when using the sample size. For example, in regression analysis, many researchers say that there should be at least 10 observations per variable. If we are using three independent variables, then a clear rule would be to have a minimum sample size of 30.

Which sampling method is best for a small population? ›

For example, if you want to sample 100 households from a city of 10,000, you can divide the city into 100 clusters of 100 households each and then select one cluster randomly. Cluster sampling is efficient and practical for small populations, as it reduces the cost and time of data collection.

What should be the sample size in small sampling? ›

A sample size 'N' of less than 30 elements/data is called small sampling.

How do you choose the sample size for an unknown population? ›

For sample size calculation of unknown population size, you can use the following formula: n= z2. [p*q]/d2), which is used to calculate the sample size of a qualitative variable in prevalence or cross-sectional studies.

How do you test for small sample size? ›

If the sample completion rate is:
  1. Less than or equal to 50%: Use the Wilson method (which you get as part of the process of computing an adjusted-Wald binomial confidence interval).
  2. Between 50% and 90%: Stick with reporting the sample proportion. ...
  3. Greater than 90% but less than 100%: Apply the Laplace method.

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