What sampling can be apply in determining the population of 20000 students distributed into 15 courses and from 4 year level?
To determine the population of 20,000 students distributed into 15 courses and from 4 year levels, you can apply a combination of stratified sampling and cluster sampling.
1. Stratified Sampling:
Since the population is divided into 15 courses and 4 year levels, you can first use stratified sampling to ensure representation from each course and year level. Here's how you can do it:
a. Divide the population into separate strata based on courses (15 strata) and year levels (4 strata).
b. Determine the proportion of students from each stratum based on the total number of students in that stratum.
c. Randomly select a proportionate number of students from each stratum to get a representative sample.
2. Cluster Sampling:
Cluster sampling is an efficient technique when the population is organized into clusters or groups. In this case, you can consider each course and year level as separate clusters. Here's how you can implement it:
a. Randomly select a few courses (clusters) and year levels (clusters) from the population.
b. Within the selected clusters, randomly select students to form a representative sample.
By using a combination of stratified sampling and cluster sampling, you ensure that your sample represents the entire population, taking into account both course distribution and year levels. This approach allows for more accurate estimates while also ensuring cost-effectiveness and practicality in data collection.