Non-sampling error may be reduced by increasing the sample size but sampling error cannot be reduced by increasing the sample size.

Actually, your statement seems to be reversed.

Sampling error can be reduced by increasing the sample size. Non-sampling error cannot be reduced by increasing the sample size. Here's why:

1. Sampling Error: This is the error that occurs due to the variability that inherently exists in a population. It's the difference between the characteristics of a sample and the characteristics of the population from which it was drawn. As you increase your sample size, you're more likely to get a sample that's representative of the whole population, thus reducing the sampling error.

2. Non-Sampling Error: This type of error occurs due to factors other than the size of the sample. It could be caused by several factors like data entry errors, biased survey questions, respondent bias, etc. Increasing the sample size will not reduce these errors because they are not related to the size of the sample but rather to the process of data collection and analysis.

So, to reduce sampling errors, increase the sample size. To reduce non-sampling errors, improve the quality of the data collection process and the analysis of the data.

Actually, your statement is incorrect. Here's the correct explanation:

1. Non-sampling error: This type of error occurs due to factors other than the sample size, such as mistakes in data collection, recording, or analysis. Non-sampling errors are present in both census data and sample data. Increasing the sample size will not reduce non-sampling errors. Instead, these errors can be minimized through careful study design, data collection, and data management procedures.

2. Sampling error: This type of error occurs because a sample, and not the entire population, is used to estimate population parameters. Sampling errors are associated with the fact that the results are based on a subset of the population. The larger the sample size, the smaller the sampling error, assuming the sample is representative of the population. Therefore, contrary to your statement, sampling error can indeed be reduced by increasing the sample size.

So, in summary, non-sampling errors cannot be reduced by increasing the sample size but can be minimized through careful study design and data management. On the other hand, sampling errors can be reduced by increasing the sample size.