Lemeshow Sample Size Calculator

Calculating sample size using the Lemeshow formula is now easier thanks to the online Lemeshow formula calculation tool, which can be used directly without installing additional software. This formula is commonly used in survey-based research, particularly to determine a representative number of respondents based on the desired confidence level, prevalence, and margin of error. This online tool makes the calculation process fast, accurate, and free from the risk of manual miscalculation.

Lemeshow Formula Calculator (Proportion)

Confidence Level (Z) 90% (Z=1.645) 95% (Z=1.96) 99% (Z=2.576) Custom Z

Custom Z (optional)

Prevalensi / Proportion (p) — %

Margin of Error (d) — %

Design Effect (DEFF)

Non-response — % (optional)

Population (N) — optional

Rounding Ceil Nearest

Basic formula: n₀ = (Z² · p · (1−p)) / d². p and d are input as percent (0–100). If N is filled in, a finite population correction is applied. The final value is adjusted for DEFF and non-response.

Count...

Z used

p (proportion)

d (margin error)

n₀ (without FPC, DEFF, NR)

Population correction (FPC)

After DEFF

After Non-response

Final Sample Size

Note: results are estimates of sample requirements. Adjust to the context of the study.

How to use

1. Enter the Z value according to the confidence level, for example 1.96 for 95%.

2. Fill in p (proportion) in percent, for example 20 for 20%.

3. Enter d (margin of error) in percent, for example 5 for 5%.

4. (Optional) Enter DEFF , non-response , and N (population) if needed.

5. Click the Calculate button and wait for the loading process for ±5 seconds.

6. The final sample size results will appear complete with calculation steps.

It is recommended to read the notes on the tool to understand the meaning of each variable, so that the results obtained are in accordance with the research context.

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Using the online Lemeshow formula calculation tool offers significant convenience for researchers, students, and statistics practitioners. There's no need to memorize or rewrite formulas on paper; simply input the relevant numbers and get instant results. Calculation results can also be used as a reference for research proposals, survey planning, or data-driven decision-making.

For faster access in the future, it's recommended to bookmark it in your browser or add it to your phone's home screen. This way, you can access the tool anytime without having to search for it again online. This feature is especially helpful for users who frequently perform repetitive calculations for various research scenarios.

If the Lemeshow online formula calculation tool isn't working or is experiencing errors, please contact us via the ajakteman.com contact page. We will try to fix the problem as quickly as possible so that this tool can continue to be used smoothly by all users.

Thank you for using this online Lemeshow formula calculation tool . Don't forget to share this page link with friends or colleagues who might find it useful. The more people who use it, the more benefits we can all experience. With user support and feedback, this tool will continue to be developed to become more comprehensive and useful in the future.