A study was performed among patients with a rotator cuff shoulder injury. Patients were randomized to receive either a specific yoga maneuver (called the active group), or a sham yoga maneuver (called the sham group). Patients were asked to rate their pain on a 10-point Likert scale with a higher number indicating more pain. They evaluated their pain at baseline (time 1). They were then taught to perform either the active maneuver or the sham maneuver and rated their pain 1 hour later (time 2). Pain was assessed for 2 specific types of shoulder movement referred to as abduction (roughly meaning moving their shoulder away from their body) and flexion (roughly meaning moving their shoulder inward towards their mid-chest). The results for change in pain between Time 2 and Time 1 for the abduction maneuver are given in Table 3 for the subgroup of patients with rotator cuff symptoms in their dominant arm.   Table 3 Change in Pain (Time 2 minus Time 1) for Subjects in the Rotator Cuff Study with pain in their dominant arm Group mean sd N Sham -0.97 1.52 58 Active -1.80 2.09 60   For all parts of this problem, assume that change in pain is normally distributed. Suppose that a clinically significant reduction in pain is a reduction of  > or equal to 2 points on the Likert scale.   a. What percent of patients in the Sham group have a clinically significant reduction in pain? Hint: Express your results as percent to the nearest integer. b. What percent of patients in the Active group have a clinically significant reduction in pain? Hint: Express your results as percent to the nearest integer. Another way to assess whether there has been significant change in the Active group is to define a normal range in the Sham group and identify how many patients in the Active group fall outside of this normal range. Suppose we define a normal range for change in the Sham group as being between the lowest quintile (Quntile_1) and the highest quintile (Quintile_5) of the Sham group change distribution. c. What is the estimated lowest quintile of the Sham group change distribution (denoted by Quintile_1sham)?   d. What is the estimated highest quintile of the Sham group change distribution (denoted by Quintile_5sham)?   e. What are the estimated number of patients in the Active group whose change is below Quintile_1sham? Hint: Round your answer to the nearest integer.

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2. A study was performed among patients with a rotator cuff shoulder injury. Patients were randomized to receive either a specific yoga maneuver (called the active group), or a sham yoga maneuver (called the sham group). Patients were asked to rate their pain on a 10-point Likert scale with a higher number indicating more pain. They evaluated their pain at baseline (time 1). They were then taught to perform either the active maneuver or the sham maneuver and rated their pain 1 hour later (time 2). Pain was assessed for 2 specific types of shoulder movement referred to as abduction (roughly meaning moving their shoulder away from their body) and flexion (roughly meaning moving their shoulder inward towards their mid-chest). The results for change in pain between Time 2 and Time 1 for the abduction maneuver are given in Table 3 for the subgroup of patients with rotator cuff symptoms in their dominant arm.

 

Table 3 Change in Pain (Time 2 minus Time 1) for Subjects in the Rotator Cuff Study with pain in their dominant arm

Group

mean

sd

N

Sham

-0.97

1.52

58

Active

-1.80

2.09

60

 

For all parts of this problem, assume that change in pain is normally distributed.

Suppose that a clinically significant reduction in pain is a reduction of  > or equal to 2 points on the Likert scale.

 

a. What percent of patients in the Sham group have a clinically significant reduction in pain?

Hint: Express your results as percent to the nearest integer.



b. What percent of patients in the Active group have a clinically significant reduction in pain?

Hint: Express your results as percent to the nearest integer.




Another way to assess whether there has been significant change in the Active group is to define a normal range in the Sham group and identify how many patients in the Active group fall outside of this normal range.

Suppose we define a normal range for change in the Sham group as being between the lowest quintile (Quntile_1) and the highest quintile (Quintile_5) of the Sham group change distribution.

c. What is the estimated lowest quintile of the Sham group change distribution (denoted by Quintile_1sham)?

 

d. What is the estimated highest quintile of the Sham group change distribution (denoted by Quintile_5sham)?

 

e. What are the estimated number of patients in the Active group whose change is below Quintile_1sham?

Hint: Round your answer to the nearest integer.

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