in Wilcoxon T, is zero ranked? is it included as part of n? 2) The school psycho

Question

in Wilcoxon T, is zero ranked? is it included as part of n?

2) The school psychologist at an elementary school is conducting a counseling program for disruptive students. To evaluate the program, the students' teacher is asked to rate the change in behavior for each student using a scale from +10 (maximum positive change) to -10 (maximum negative change). A rating of O indicates no change in behavior. Because the teacher's ratings are subjective evaluations, the psychologist feels more comfortable treating the scores as ordinal values instead of interval or ratio scores. Convert the following data to ranks, and use a Wilcoxon test to evaluate the effectiveness of the counseling: Student Change in Behavior as Rated by Teacher 0 +8 +10 +4

Explanation / Answer

The wilcoxson rank sum table

Here we will exclude C as you have asked in question. Zero will not be ranked and not to be a part of n.

Here Nr = 7

l W l = l 1 - 2.5 + 2.5 + 4 + 5 + 6 + 7 l = 23

here Wcritical = 3 [ for one sided test]

W > Wcritical

so we shall reject the null hypothesis and can conclude that teacher's evaluation has increased the student's behaviur.

Student Sgn abs Rank sgn.Rank A + 1 1 1 E - 3 2 -2.5 H + 3 2 2.5 G + 4 4 4 B + 6 5 5 D + 8 6 6 F + 10 7 7 C

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