Final answer:
The two types of dilution of position error are chance error and bias. These errors can be minimized by increasing sample sizes, using representative samples, proper randomization, unbiased sampling methods, and transparency in the data collection and analysis processes.
Step-by-step explanation:
The student is inquiring about two types of dilution of position error which could be interpreted as pertained to optics or statistical sampling. Considering the possible confusion with aberrations in optics, which is a different topic, let's focus on the statistical aspect of dilution of position error.
Chance error occurs due to random variations that can affect the results of a study when only a sample of the population is taken. This type of error can be minimized by increasing the sample size, ensuring the sample is representative of the entire population, and by employing proper randomization techniques.
The second type is bias, a systematic deviation from the true value, which can be introduced during sample selection, data collection or analysis. Minimizing bias involves using unbiased sampling methods, double-blind procedures, and ensuring the data collection and analysis processes are transparent and well-documented.