Suppose that there are 30 school districts in a province with each district having 10 elementary schools. To have a good teacher recruitment plan, the school superintendent commissioned a quick survey. A simple random sample of 3 school districts from each of which four schools were selected and surveyed. One question in the survey is the age of elementary school teachers. The table below shows the total number of teachers 50 years and above. Sample District Number 1 2 3 Total number of teachers aged 50 and above 19 5 9 1. Complete the partial ANOVA table and estimate the intra-class correlation and design effect. df SS MS Between Clusters ___ _____ 13.0 Within Clusters ___ _____ 2.69 Total ___ _____
Suppose that there are 30 school districts in a province with each district having 10 elementary schools. To have a good teacher recruitment plan, the school superintendent commissioned a quick survey. A simple random sample of 3 school districts from each of which four schools were selected and surveyed. One question in the survey is the age of elementary school teachers. The table below shows the total number of teachers 50 years and above.
|
Sample District Number |
1 |
2 |
3 |
|
Total number of teachers aged 50 and above |
19 |
5 |
9 |
1. Complete the partial ANOVA table and estimate the intra-class
|
|
df |
SS |
MS |
|
Between Clusters |
___ |
_____ |
13.0 |
|
Within Clusters |
___ |
_____ |
2.69 |
|
Total |
___ |
_____ |
|
2. Estimate the average number of teachers aged 50 and above and compute its standard error.
3. Supposing that the superintendent of another province would like to conduct the same survey. She has appropriated Php 85,000 for this purpose. From her fellow superintendent, she learned that the survey team spent about Php 6,500 in going to a school district and about Php 1,000 in collecting data from a selected school.
a. Given the superintendent’s budget and the results from the first province, what would be the optimum number of schools to be sampled?
b. How many school districts will be selected?
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