how can I determine if there is a significant difference in 3 groups of 2 varibles?

Question

3 different intensive care units

ICU 1 had 437 patients and 59 recieved an intervention

ICU 2       222                    77

ICU 3       762                    91

 

is there a difference in rate of use of the intervention among these ICUs?

Answer 1

To determine if there is a difference in the rate of use of the intervention among these ICUs, we can calculate the intervention rate for each ICU and compare them. The intervention rate is the number of patients who received the intervention divided by the total number of patients in the ICU.

Let's calculate the intervention rate for each ICU:

ICU 1:

Total patients: 437

Patients who received intervention: 59

Intervention rate: 59 / 437 ≈ 0.1350 (13.50%)

ICU 2:

Total patients: 222

Patients who received intervention: 77

Intervention rate: 77 / 222 ≈ 0.3468 (34.68%)

ICU 3:

Total patients: 762

Patients who received intervention: 91

Intervention rate: 91 / 762 ≈ 0.1194 (11.94%)

Now that we have the intervention rates for each ICU, we can compare them:

ICU 1: 13.50%

ICU 2: 34.68%

ICU 3: 11.94%

There is a noticeable difference in the rate of use of the intervention among these ICUs. ICU 2 has the highest intervention rate at 34.68%, while ICU 1 and ICU 3 have lower intervention rates at 13.50% and 11.94%, respectively.

To determine if this difference is statistically significant, you would need to perform a statistical test, such as the Chi-square test or Fisher's exact test. These tests would help you determine if the observed differences in intervention rates are due to chance or if there is a significant difference in the rate of use of the intervention among these ICUs.

Answer 2

Hi-- the question is a little vague; seems to be a math question more than nursing.  If you are seeking to compare the frequency with which each ICU used an intervention, percentage of total is one way to do that, and fits with this questions's given information.  So:

1. 437:100% as 59:x %

    Cross multiply this equation as follows:  5900/437 = 13%.

2. 222:100% as 77:x %

    Cross multiply as follows:  7700/222 = 34%

3. 762:100% as 91:x %

     Again, cross multiply as follows:  9100/762 = 11.9 or 12%.

 

Therefore, the answer is yes; there is a difference in the rate of intervention among these ICUs.  1) used the intervention 13% of the time; 2), 34% of the time, and 3), 12% of the time.  Hope this helps!