Application 1 2 3 4 Ms Taylor 48 86 67 54 HR Expert Mr Green 48 84 68 52 Ms Clark 45 81 66 48 Bear in mind that the purpose of the study is to find evidence that the HR experts tend to give different scores. (It is taken for granted that applications differ in terms of quality and those differences affect the scores.) Calculate the Sum of Squares for Treatments. (The result must be accurate within ±0.05).

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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A company receives a large number of job applications, which are at first evaluated centrally at the
HR department. Each application receives a score between 0 and 100 from an HR expert. The
evaluations are done by three HR experts, who apply the same, standardised scoring scheme to
obtain the final score. Despite the fact that the procedure has been standardised and the experts
have been trained, the management is still concerned that the system may not be fair because there
may be differences between the scoring tendencies of the three experts: If at least one expert tends
to give higher or lower scores than the others, that is a problem, because the score will not only
depend on the quality of the application but also on which HR expert evaluated it.
Therefore, the management decides to conduct a small-scale experiment to find out whether there
are significant differences between the three raters' scoring tendencies. In order to control for the
differences between applications, each HR expert receives the same 4 applications for evaluation.
The table below contains the 4 scores provided by each of the HR experts.
Application
1
2
3
Ms Taylor
48
86
67
54
HR Expert
Mr Green
48
84
68
52
Ms Clark
45
81
66
48
Bear in mind that the purpose of the study is to find evidence that the HR experts tend to give
different scores. (It is taken for granted that applications differ in terms of quality and those
differences affect the scores.)
Calculate the Sum of Squares for Treatments. (The result must be accurate within ±0.05).
Transcribed Image Text:A company receives a large number of job applications, which are at first evaluated centrally at the HR department. Each application receives a score between 0 and 100 from an HR expert. The evaluations are done by three HR experts, who apply the same, standardised scoring scheme to obtain the final score. Despite the fact that the procedure has been standardised and the experts have been trained, the management is still concerned that the system may not be fair because there may be differences between the scoring tendencies of the three experts: If at least one expert tends to give higher or lower scores than the others, that is a problem, because the score will not only depend on the quality of the application but also on which HR expert evaluated it. Therefore, the management decides to conduct a small-scale experiment to find out whether there are significant differences between the three raters' scoring tendencies. In order to control for the differences between applications, each HR expert receives the same 4 applications for evaluation. The table below contains the 4 scores provided by each of the HR experts. Application 1 2 3 Ms Taylor 48 86 67 54 HR Expert Mr Green 48 84 68 52 Ms Clark 45 81 66 48 Bear in mind that the purpose of the study is to find evidence that the HR experts tend to give different scores. (It is taken for granted that applications differ in terms of quality and those differences affect the scores.) Calculate the Sum of Squares for Treatments. (The result must be accurate within ±0.05).
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