Question

In research people are often worried about a Type I or II error. Imagine a scenario where a researcher cannot collect much data. Which error will this directly impact? What is one change the researcher can make to increase the power of their test? What is something they cannot change that impacts power?

Answer 1

Ans:

If researcher is not able to collect much data i.e. n is smaller,it will impact type II error i.e. it increases type II error.

Smaller the sample size,larger the standard error,smaller the test statistic,larger the p-value,so we will be less like;y to reject the null hypothesis,hence increases the type II error and decreases the power.

Power=1-P(type II error)

To increases the power or decrease the type II error,we can increase the sample size.

We can not change other factors like distance between sample mean and population mean,standard deviation etc.