Sample: Definition, Types, Formula & Examples | QuestionPro (2023)

Sample: Definition, Types, Formula & Examples | QuestionPro (1)

How often do researchers look for the right survey respondents, either for a market research study or an existing survey in the field? The sample or the respondents of this research may be selected from a set of customers or users that are known or unknown.

You may often know your typical respondent profile but don’t have access to the respondents to complete your research study. At such times, researchers and research teams reach out to specialized organizations to access their panel of respondents or buy respondents from them to complete research studies and surveys.

These could be general population respondents that match demographic criteria or respondents based on specific criteria. Such respondents are imperative to the success of research studies.

This article discusses in detail the different types of samples, sampling methods, and examples of each. It also mentions the steps to calculate the size, the details of an online sample, and the advantages of using them.

Content Index

  1. What is a sample?
  2. Types of samples: Sample selection methodologies with examples
    1. Probability sampling methodologies with examples
    2. Non-probability sampling methodologies with examples
  3. How to determine a sample size
  4. Calculating sample size
  5. Sampling advantages

What is a Sample?

Definition: A sample is a smaller set of data that a researcher chooses or selects from a larger population using a pre-defined selection method. These elements are known as sample points, sampling units, or observations.

Creating a sample is an efficient method of conducting research. Researching the whole population is often impossible, costly, and time-consuming. Hence, examining the sample provides insights the researcher can apply to the entire population.

For example, if a cell phone manufacturer wants to conduct a feature research study among students in US Universities. If the researcher is looking for features that the students use, features they would like to see, and the price they are willing to pay, an in-depth research study must be conducted.

This step is imperative to understand the features that need development, the features that require an upgrade, the device’s pricing, and the go-to-market strategy.

(Video) 5 4 Power Calculations for difference of two means

In 2016/17 alone, there were 24.7 million students enrolled in universities across the US. It is impossible to research all these students; the time spent would make the new device redundant, and the money spent on development would render the study useless.

Creating a sample of universities by geographical location and further creating a sample of these students from these universities provides a large enough number of students for research.

Select your respondents

Typically, the population for market research is enormous. Making an enumeration of the whole population is practically impossible. The sample usually represents a manageable size of this population. Researchers then collect data from these samples through surveys, polls, and questionnaires and extrapolate this data analysis to the broader community.

Types of Samples: Selection methodologies with examples

The process of deriving a sample is called a sampling method. Sampling forms an integral part of the research design as this method derives the quantitative and qualitative data that can be collected as part of a research study. Sampling methods are characterized into two distinct approaches: probability sampling and non-probability sampling.

Probability sampling methodologies with examples

Probability sampling is a method of deriving a sample where the objects are selected from a population-based on probability theory. This method includes everyone in the population, and everyone has an equal chance of being selected. Hence, there is no bias whatsoever in this type of sample.

Each person in the population can subsequently be a part of the research. The selection criteria are decided at the outset of the market research study and form an important component of research.

Probability sampling can be further classified into four distinct types of samples. They are:

  • Simple random sampling: The most straightforward way of selecting a sample is simple random sampling. In this method, each member has an equal chance of participating in the study. The objects in this sample population are chosen randomly, and each member has the same probability of being selected. For example, if a university dean would like to collect feedback from students about their perception of the teachers and level of education, all 1000 students in the University could be a part of this sample. Any 100 students can be selected randomly to be a part of this sample.
  • Cluster sampling: Cluster sampling is a type of sampling method where the respondent population is divided into equal clusters. Clusters are identified and included in a sample based on defining demographic parameters such as age, location, sex, etc. This makes it extremely easy for a survey creator to derive practical inferences from the feedback. For example, if the FDA wants to collect data about adverse side effects from drugs, they can divide the mainland US into distinctive cluster analysis, like states. Research studies are then administered to respondents in these clusters. This type of generating a sample makes the data collection in-depth and provides easy-to-consume and act-upon, insights.
  • Systematic sampling: Systematic sampling is a sampling method where the researcher chooses respondents at equal intervals from a population. The approach to selecting the sample is to pick a starting point and then pick respondents at a pre-defined sample interval. For example, while selecting 1,000 volunteers for the Olympics from an application list of 10,000 people, each applicant is given a count of 1 to 10,000. Then starting from 1 and selecting each respondent with an interval of 10, a sample of 1,000 volunteers can be obtained.
  • Stratified random sampling: Stratified random sampling is a method of dividing the respondent population into distinctive but pre-defined parameters in the research design phase. In this method, the respondents don’t overlap but collectively represent the whole population. For example, a researcher looking to analyze people from different socioeconomic backgrounds can distinguish respondents by their annual salaries. This forms smaller groups of people or samples, and then some objects from these samples can be used for the research study.

Non-probability sampling methodologies with examples

The non-probability sampling method uses the researcher’s discretion to select a sample. This type of sample is derived mostly from the researcher’s or statistician’s ability to get to this sample.

(Video) Sample size calculation for comparing sample means from two paired samples

This type of sampling is used for preliminary research where the primary objective is to derive a hypothesis about the topic in research. Here each member does not have an equal chance of being a part of the sample population, and those parameters are known only post-selection to the sample.

We can classify non-probability sampling into four distinct types of samples. They are:

  • Convenience sampling: Convenience sampling, in easy terms, stands for the convenience of a researcher accessing a respondent. There is no scientific method for deriving this sample. Researchers have nearly no authority over selecting the sample elements, and it’s purely done based on proximity and not representativeness.

This non-probability sampling method is used when there is time and costs limitations in collecting feedback. For example, researchers that are conducting a mall-intercept survey to understand the probability of using a fragrance from a perfume manufacturer. In this sampling method, the sample respondents are chosen based on their proximity to the survey desk and willingness to participate in the research.

  • Judgemental/purposive sampling: The judgemental or purposive sampling method is a method of developing a sample purely on the basis and discretion of the researcher purely, based on the nature of the study along with his/her understanding of the target audience. This sampling method selects people who only fit the research criteria and end objectives, and the remaining are kept out.

For example, if the research topic is understanding what University a student prefers for Masters, if the question asked is “Would you like to do your Masters?” anything other than a response, “Yes” to this question, everyone else is excluded from this study.

  • Snowball sampling: Snowball sampling or chain-referral sampling is defined as a non-probability sampling technique in which the samples have rare traits. This is a sampling technique in which existing subjects provide referrals to recruit samples required for a research study.

For example, while collecting feedback about a sensitive topic like AIDS, respondents aren’t forthcoming with information. In this case, the researcher can recruit people with an understanding or knowledge of such people and collect information from them or ask them to collect information.

  • Quota sampling: Quota sampling is a method of collecting a sample where the researcher has the liberty to select a sample based on their strata. The primary characteristic of this method is that two people cannot exist under two different conditions. For example, when a shoe manufacturer would like to understand millennials’ perception of the brand with other parameters like comfort, pricing, etc. It selects only females who are millennials for this study as the research objective is to collect feedback about women’s shoes.

How to determine a Sample Size

As we have learned above, the right sample size is essential for the success of data collection in a market research study. But is there a correct number for the sample size? What parameters decide the sample size? What are the distribution methods of the survey?

To understand all of this and make an informed calculation of the right sample size, it is first essential to understand four important variables that form the basic characteristics of a sample. They are:

  • Population size: The population size is all the people that can be considered for the research study. This number, in most cases, runs into huge amounts. For example, the population of the United States is 327 million. But in market research, it is impossible to consider all of them for the research study.
  • The margin of error (confidence interval): The margin of error is depicted by a percentage that is a statistical inference about the confidence of what number of the population depicts the actual views of the whole population. This percentage helps towards the statistical analysis in selecting a sample and how much error in this would be acceptable.
  • Confidence level: This metric measures where the actual mean falls within a confidence interval. The most common confidence intervals are 90%, 95%, and 99%.
  • Standard deviation: This metric covers the variance in a survey. A safe number to consider is .5, which would mean that the sample size has to be that large.

Calculating Sample Size

To calculate the sample size, you need the following parameters.

  • Z-score: The Z-score value can be foundhere.
  • Standard deviation
  • Margin of error
  • Confidence level

To calculate use the sample size, use this formula:

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Sample Size = (Z-score)2 * StdDev*(1-StdDev) / (margin of error)2

Consider the confidence level of 90%, standard deviation of .6 and margin of error, +/-4%

((1.64)2 x .6(.6)) / (.04)2

( 2.68x .0.36) / .0016

.9648 / .0016

603

603 respondents are needed and that becomes your sample size.

Try our sample size calculator for give population, margin of error and confidence level.

Sampling Advantages

As shown above, there are many advantages to sampling. Some of the most significant advantages are:

(Video) Sampling 03: Stratified Random Sampling

  • Reduced cost & time: Since using a sample reduces the number of people that have to be reached out to, it reduces cost and time. Imagine the time saved between researching with a population of millions vs. conducting a research study using a sample.
  • Reduced resource deployment: It is obvious that if the number of people involved in a research study is much lower due to the sample, the resources required are also much less. The workforce needed to research the sample is much less than the workforce needed to study the whole population.
  • Accuracy of data: Since the sample indicates the population, the data collected is accurate. Also, since the respondent is willing to participate, the survey dropout rate is much lower, which increases the validity and accuracy of the data.
  • Intensive & exhaustive data: Since there are lesser respondents, the data collected from a sample is intense and thorough. More time and effort are given to each respondent rather than collecting data from many people.
  • Apply properties to a larger population: Since the sample is indicative of the broader population, it is safe to say that the data collected and analyzed from the sample can be applied to the larger population, which would hold true.

To collect accurate data for research, filter bad panelists, and eliminate sampling bias by applying different control measures. If you need any help with arranging a sample audience for your next market research project, get in touch with us at [emailprotected] We have more than 22 million panelists across the world!

Select your respondents

In conclusion, a sample is a subset of a population that is used to represent the characteristics of the entire population. Sampling is essential in research and data analysis to make inferences about a population based on a smaller group of individuals. There are different types of sampling, such as probability sampling, non-probability sampling, and others, each with its own advantages and disadvantages. It’s important to choose the right sampling method depending on the research question, budget, and resources. Furthermore, the sample size plays a crucial role in the accuracy and generalizability of the findings.

This article has provided a comprehensive overview of the definition, types, formula, and examples of sampling. By understanding the different types of sampling and the formulas used to calculate sample size, researchers and analysts can make more informed decisions when conducting research and data analysis. Sampling is an important tool that enables researchers to make inferences about a population based on a smaller group of individuals. With the right sampling method and sample size, researchers can ensure that their findings are accurate and generalizable to the population.

Utilize one of QuestionPro’s many survey questionnaire samples to help you complete your survey.

When creating online surveys for your customers, employees, or students, one of the biggest mistakes you can make is asking the wrong questions. Different businesses and organizations have different needs required for their surveys. If you ask irrelevant questions to participants, they’re more likely to drop out before completing the survey. A questionnaire sample template will help set you up for a successful survey.

FAQs

What are the 5 types of samples? ›

There are five types of sampling: Random, Systematic, Convenience, Cluster, and Stratified.

What is sampling and its formula? ›

If there are N units in the population and n units are to be selected, then R = N/n (the R is known as the sampling interval). The first number is selected at random out of the remainder of this R (Sampling Interval) to the previous selected number.

What are the 4 types of random sampling? ›

There are four primary, random (probability) sampling methods – simple random sampling, systematic sampling, stratified sampling, and cluster sampling.

What are the 3 factors of sampling? ›

In general, three or four factors must be known or estimated to calculate sample size: (1) the effect size (usually the difference between 2 groups); (2) the population standard deviation (for continuous data); (3) the desired power of the experiment to detect the postulated effect; and (4) the significance level.

What are the 4 ways to determine the sample size? ›

How to find sample size?
  • Step 1 Find out the size of the population.
  • Step 2 Determine the margin of error.
  • Step 3 Set confidence level.
  • Step 4 Use a formula to find sample size.
Jul 14, 2022

What are the 5 basic sampling methods and definition? ›

Sampling: Simple Random, Convenience, systematic, cluster, stratified - Statistics Help.

How do you define a sample? ›

What Is a Sample? A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population. Samples are used in statistical testing when population sizes are too large for the test to include all possible members or observations.

What are the main types of samples? ›

In statistics, sampling is the process of selecting a subset of data from a larger dataset. There are two main types of sampling: probability sampling and non-probability sampling.

What is the formula of sample data? ›

The general formula for calculating the sample mean is given by x̄ = ( Σ xi ) / n. Here, x̄ represents the sample mean, xi refers all X sample values and n stands for the number of sample terms in the data set. When calculating the sample mean the following steps can be considered: Add the total sample items.

What is the formula for 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 formula of random sampling? ›

The Formula of Random Sampling

(N-n/N-(n-1)). Here P is a probability, n is the sample size, and N represents the population. Now if one cancels 1-(N-n/n), it will provide P = n/N. Moreover, the chance of a sample getting selected more than once is needed: P = 1-(1-(1/N)) n.

What is the formula for stratified sampling? ›

For example, if the researcher wanted a sample of 50,000 graduates using age range, the proportionate stratified random sample will be obtained using this formula: (sample size/population size) × stratum size.

What are the 5 types of non-probability sampling? ›

The commonly used non-probability sampling methods include the following.
  • Convenience or haphazard sampling. ...
  • Volunteer sampling. ...
  • Judgement sampling. ...
  • Quota sampling. ...
  • Snowball or network sampling. ...
  • Crowdsourcing. ...
  • Web panels. ...
  • Advantages and disadvantages of non-probability sampling.
Sep 2, 2021

What is Cochran formula for sample size? ›

Cochran's Formula Example

((1.96)2 (0.5) (0.5)) / (0.05)2 = 385. So a random sample of 385 households in our target population should be enough to give us the confidence levels we need.

What are the main elements of sampling? ›

In other words, the sampling process involves three main elements – selecting the sample, collecting the information, and also making inferences about the population.

How many types of sample sizes are there? ›

There are two types of sample sizes to determine: one sample size determination is used to find the number to have enough participants to be representative of a population, and the other sample size determination is to achieve statistical power. Let's talk about these two types.

What are the 4 main steps involved in designing samples? ›

The sampling design process includes five steps which are closely related and are important to all aspect of the marketing research project. The five steps are: defining the target population; determining the sample frame; selecting a sampling technique; determining the sample size; and executing the sampling process.

What is a sample size sample method? ›

Sample size refers to the number of participants or observations included in a study. This number is usually represented by n. The size of a sample influences two statistical properties: 1) the precision of our estimates and 2) the power of the study to draw conclusions.

What are six sampling methods? ›

6 Techniques for Market Research Sampling
  1. True Random Sampling.
  2. Systematic Sampling.
  3. Stratified Sampling.
  4. Quota Sampling.
  5. Cluster Sampling.
  6. Area Sampling.
  7. Choosing the Right Sampling Technique Your Market Research.

What are the main types of sampling techniques? ›

Sampling in market action research is of two types – probability sampling and non-probability sampling. Let's take a closer look at these two methods of sampling. Probability sampling: Probability sampling is a sampling technique where a researcher selects a few criteria and chooses members of a population randomly.

What are the 4 types of population? ›

They are:
  • Finite Population.
  • Infinite Population.
  • Existent Population.
  • Hypothetical Population.
Feb 19, 2020

What is the best definition for sample as used in statistics? ›

A sample is defined as a smaller and more manageable representation of a larger group. A subset of a larger population that contains characteristics of that population. A sample is used in statistical testing when the population size is too large for all members or observations to be included in the test.

What is the sample math? ›

A sample is an outcome of a random experiment. When we sample a random variable, we obtain one specific value out of the set of its possible values. That particular value is called a sample. The possible values and the likelihood of each is determined by the random variable's probability distribution.

What is sample type in research? ›

In research terms a sample is a group of people, objects, or items that are taken from a larger population for measurement. The sample should be representative of the population to ensure that we can generalise the findings from the research sample to the population as a whole.

What is sample data example? ›

A sample data set contains a part, or a subset, of a population. The size of a sample is always less than the size of the population from which it is taken. [Utilizes the count n - 1 in formulas.] Example: The sample may be "SOME people living in the US."

What are basic formulas in statistics? ›

The important statistics formulas are listed in the chart below: Mean (¯x)¯x=∑xn Median (M) If n is odd, then M=(n+12)th term If n is even, then M=(n2)th term +(n2+1)th term 2 Mode The value which occurs most frequently Variance (σ2)σ2=∑(x−¯x)2n Standarad Deviation (S)S=σ=√∑(x−¯x)2n. where, x = Observations given.

What is the formula used in statistics? ›

Statistics Formula Sheet
Meanx ¯ = ∑ x n
MedianIf n is odd, then M = ( n + 1 2 ) t h term If n is even, then M = ( n 2 ) t h t e r m + ( n 2 + 1 ) t h t e r m 2
ModeThe value which occurs most frequently
Varianceσ 2 = ∑ ( x − x ¯ ) 2 n
Standard DeviationS = σ = ∑ ( x − x ¯ ) 2 n

What is the formula for sample population? ›

n = N*X / (X + N – 1), where, X = Zα/22 *p*(1-p) / MOE2, and Zα/2 is the critical value of the Normal distribution at α/2 (e.g. for a confidence level of 95%, α is 0.05 and the critical value is 1.96), MOE is the margin of error, p is the sample proportion, and N is the population size.

Why do we use sample size formula? ›

Why sample size calculations? The main aim of a sample size calculation is to determine the number of participants needed to detect a clinically relevant treatment effect. Pre-study calculation of the required sample size is warranted in the majority of quantitative studies.

How do you calculate population size formula? ›

This method of estimation is called the Lincoln Index.
  1. P = (N1 x N2)/ R.
  2. P = total size of population.
  3. N1 = size of first sample (all marked)
  4. N2 = size of second sample (recapture: some will be marked, some won't)
  5. R = number of marked individuals recaptured in second sample.

How many types of samples are there? ›

Types of sampling: sampling methods

Sampling in market action research is of two types – probability sampling and non-probability sampling.

What are sample categories? ›

There are two main categories of sampling: probability sampling and non-probability sampling. 1. Probability sampling: In this category of sampling, all members of the population have an equal chance of being selected for a study.

What are the most common sampling methods? ›

There are numerous ways of getting a sample, but here are the most commonly used sampling methods:
  • Random Sampling. ...
  • Stratified Sampling. ...
  • Systematic Sampling. ...
  • Convenience Sampling. ...
  • Quota Sampling. ...
  • Purposive Sampling.

What are different methods of sampling? ›

Probability Sampling Types

Probability Sampling methods are further classified into different types, such as simple random sampling, systematic sampling, stratified sampling, and clustered sampling.

What are basic sampling methods? ›

Methods of sampling from a population
  1. Simple random sampling. ...
  2. Systematic sampling. ...
  3. Stratified sampling. ...
  4. Clustered sampling. ...
  5. Convenience sampling. ...
  6. Quota sampling. ...
  7. Judgement (or Purposive) Sampling. ...
  8. Snowball sampling.

What are 3 examples of sample vs population? ›

A sample is the specific group that you will collect data from. The size of the sample is always less than the total size of the population.
...
Population vs. Sample | Definitions, Differences & Examples.
PopulationSample
Songs from the Eurovision Song ContestWinning songs from the Eurovision Song Contest that were performed in English
3 more rows
May 14, 2020

What is an example of a sample group? ›

For example, a classroom of 30 students with 15 males and 15 females could generate a representative sample that might include six students: three males and three females. Samples are useful in statistical analysis when population sizes are large because they contain smaller, manageable versions of the larger group.

What is the formula for simple random sampling? ›

The Formula of Random Sampling

(N-n/N-(n-1)). Here P is a probability, n is the sample size, and N represents the population. Now if one cancels 1-(N-n/n), it will provide P = n/N. Moreover, the chance of a sample getting selected more than once is needed: P = 1-(1-(1/N)) n.

How do you select a sample? ›

There are 4 key steps to select a simple random sample.
  1. Step 1: Define the population. Start by deciding on the population that you want to study. ...
  2. Step 2: Decide on the sample size. Next, you need to decide how large your sample size will be. ...
  3. Step 3: Randomly select your sample. ...
  4. Step 4: Collect data from your sample.
Aug 28, 2020

What are examples of random sampling methods? ›

An example of a simple random sample would be the names of 25 employees being chosen out of a hat from a company of 250 employees. In this case, the population is all 250 employees, and the sample is random because each employee has an equal chance of being chosen.

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