Aa Aa 2. calculating the Pearson correlation with z-scores Imagine that a profes

Question

Aa Aa 2. calculating the Pearson correlation with z-scores Imagine that a professor of anthropology has two teaching assistants OTAs) who will help her grade assignments for the duration of the semester. The professor wants to make sure that she and the TAs are well calibrated with one another, so she has all three of them grade the first assignment independently. Because the professor grades every assignment on a curve, she first converts the students' scores to z scores for each grader. The following table shows the z-scores for population of 10 students in her class for each grader. Teaching Teaching Professor Assistant #1 Assistant #2 Student 1 1.27 0.70 1.27 Student 2 0.83 Student 3 0.98 0.38 -0.14 Student 4 2.21 Student 5 0.54 1.34 1.06 Student 6 0.43 0.10 0.30 Student 7 1.03 -2.09 1.50 Student 8 0.01 0.85 1.14 Student 9 0.54 0.48 0.57 Student 10 1.07 0.20 0.04 The professor is going to use the z-scores to calculate the Pearson correlation coefficient between her scores and those of her TAS. To calculate the Pearson correlation coefficient, she sums the products of the z-scores. The professor should divide this sum by ophoms: a) 2 b) 3 The professor constructed a table of correlation coefficients between her scores and those of her TAs. Select the correct missing correlation.

Explanation / Answer

Answer:

d). 10

2).

c). 0.42

Correlation Matrix

p

t1

t2

p

1.000

t1

.420

1.000

t2

.366

.915

1.000

The two Ta are well calibrated with each other but not with the professor.

b. not change.

Correlation Matrix

p

t1

t2

p

1.000

t1

.420

1.000

t2

.366

.915

1.000

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