Sample Size Calculator

Sample Size Calculator

Main Terms:

Population Size: Refers to the total number of individuals in the target group of your study or survey. In market research, this could be all consumers within a specific area or the total number of a specific consumer group.

Confidence Level (%): In statistics, the confidence level indicates your degree of confidence in the accuracy of the survey results. It is a percentage that represents how strongly you believe that the sample statistical results (such as the sample mean) can reflect the true situation of the entire population (such as the population mean). Common confidence levels include 90%, 95%, and 99%.

Margin of Error (%): The margin of error represents the degree of uncertainty in the survey results. It is a percentage that indicates the maximum deviation between the survey results and the true value. For example, a survey result with a margin of error of ±3% means that if the survey were repeated multiple times, each result would vary within a range of 3% above or below the true value.

Sample Size: The sample size is the number of individuals selected from the total population to participate in the survey or study. The larger the sample, the more reliable the results tend to be, but the cost and time required also increase.

Relationships Among Them:

Confidence Level and Margin of Error: A higher confidence level means a lower margin of error, and vice versa. Increasing the confidence level (being more certain of the results’ accuracy) typically increases the margin of error (the range of uncertainty in the results).

Sample Size and Margin of Error: At a given confidence level, a larger sample size can reduce the margin of error, meaning the results are more precise. However, increasing the sample size also raises the cost and complexity of the survey.

Population Size and Sample Size: When the total population size is small, closer to the sample size, the representativeness of the sample increases, and the margin of error may decrease. In extreme cases, if the sample size equals the total population size (i.e., every individual is surveyed), the margin of error will be zero.

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