Employers often use standardized measures to gauge how likely it is that a new e

Question

Employers often use standardized measures to gauge how likely it is that a new employee with little to no experience will succeed in their company. One such factor is intelligence, measured using the Intelligence Quotient (IQ). To show that this factor is related to job success, an organizational psychologist measures the IQ score and job performance (in units sold per day) in a sample of 10 new employees.

(a) Convert the following data to ranks and then compute a Spearman correlation coefficient. (Round your answer to three decimal places.)

IQ Job Performance 100 16 115 37 108 22 98 19 120 40 147 56 132 49 85 58 105 28 110 35

Explanation / Answer

Add up all the data in the "d2" column. This value is d2 = 94
insert this value into the simplified Spearman's Rank Correlation Coefficient formula
= 1 - [ 6 (94)/ (10(10^2 - 1 )) ] = 1 - 0.569696
= 0.4303

IQ Job Performance RANK 1 RANK 2 DIFFRENCE DIFFRENCE ^2 100 16 3 1 2 4 115 37 7 6 1 1 108 22 5 3 2 4 98 19 2 2 0 0 120 40 8 7 1 1 147 56 10 9 1 1 132 49 9 8 1 1 85 58 1 10 -9 81 105 28 4 4 0 0 110 35 6 5 1 1

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.