The sample size affects the needed accuracy of the measurement in several ways:
1. Margin of error: The larger the study sample size, the smaller the margin of error. This means that with a larger sample size, the estimated value is more likely to be closer to the true value of the population. This is because a larger sample represents the population more accurately and reduces the impact of random variation.
2. Precision of results: A larger sample size allows for greater precision of results. With a larger sample, the variability in the data is reduced, leading to more precise estimates. This is particularly important in quantitative analysis, where small variations can have a significant impact on the results.
3. Control of false findings: Larger sample sizes allow researchers to control the risk of reporting false-negative or false-positive findings. With a larger sample, the statistical power of the study increases, reducing the likelihood of missing true effects or detecting false effects.
4. Surface finish in analysis: In some cases, the accuracy of the measurement can be affected by the surface finish of the sample. Rough surfaces can cause scattering and re-absorption of certain elements, leading to reduced signal intensity. A larger sample size can help mitigate this effect by providing a more representative sample with a finer surface finish.
5. Accuracy verification of sieves: When using sieves for particle sizing and gradation testing, the accuracy of the sieves can be verified through statistical forecasting. While it is not possible to guarantee that every single opening is exactly the specified size, measuring a certain number of apertures and using statistical methods can provide an overall assessment of accuracy.
6. Dilution and binder quantity: In certain analyses, such as spectrometry, the accuracy of the measurement can be influenced by the quantity of binder used in sample preparation. To ensure accuracy levels and avoid over-diluting a sample, the amount of binder used must stay the same for every sample. A larger sample size helps maintain consistency in binder quantity.
7. Particle size in sample preparation: The accuracy of the measurement can also be influenced by the particle size of the sample during preparation. Working with smaller particle sizes (<50µm) is important as it allows for better sample binding and reproducibility under pressure, leading to more accurate analytical results.
In summary, a larger sample size generally leads to smaller margin of error, greater precision, better control of false findings, improved surface finish, and more accurate measurement results.
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