Final answer:
Dianne has used systematic sampling to select every 6th student from a list of names to study the effect of new learning modalities on academic performance in senior high students.
Step-by-step explanation:
The sampling procedure used by Dianne is systematic sampling, as she selected every 6th name from the list of all students in her school to participate in her study. Systematic sampling involves selecting a sample from an ordered list at regular intervals. In this case, the interval is every 6th student. This method is a compromise between the simplicity of random sampling and the need to have a more structured approach to ensure that the sample is representative of the overall population.
Systematic sampling is beneficial because once the first item is selected at random within the first interval, the rest of the sample is determined automatically, which simplifies the process. However, this method can introduce periodicity bias if there is a hidden pattern in the list that coincides with the sampling interval. To minimize such bias, it is important that the list have no such patterns.
Using this approach helps ensure that every student has an equal chance to be included in the sample, assuming there is no periodicity bias. It is also more straightforward and less time-consuming than simple random sampling, which would require randomly selecting individual names without a set interval.