Question

In: Statistics and Probability

Hospital A is examining the effect of high and low intensity rehabilitation for hip replacement patients....

Hospital A is examining the effect of high and low intensity rehabilitation for hip replacement patients. Patient mobility postreplacement is based on patient self-reports and is categorized as improved, no change, or diminished. High-intensity rehabilitation is a ten-week regime; low-intensity is four weeks.

Observed Improved No Change Diminished Total
Low-Intensity Rehab 121 22 12 155
High-Intensity Rehab 143 17 9 169
Total 264 39 21 324
Marginal probability 81.5% 12.0% 6.5%
Expected Improved No Change Diminished Total
Low-Intensity Rehab
High-Intensity Rehab
Total
Chitest
Chiinv - test stat
Chiinv - critical value

Solutions

Expert Solution

using excel>Addin<phtat>multiple sample test

we have

Chi-Square Test
Observed Frequencies
Column variable Calculations
Observed Improved No Change Diminished Total fo-fe
Low-Intensity Rehab 121 22 12 155 -5.2963 3.342593 1.953704
High-Intensity Rehab 143 17 9 169 5.296296 -3.34259 -1.9537
Total 264 39 21 324
Expected Frequencies
Column variable
Expected Improved No Change Diminished Total (fo-fe)^2/fe
Low-Intensity Rehab 126.2963 18.65741 10.0463 155 0.222103 0.598847 0.379937
High-Intensity Rehab 137.7037 20.34259 10.9537 169 0.203704 0.549238 0.348463
Total 264 39 21 324
Data
Level of Significance 0.05
Number of Rows 2
Number of Columns 3
Degrees of Freedom 2
Results
Critical Value 5.991465
Chi-Square Test Statistic 2.302291
p-Value 0.316274
Do not reject the null hypothesis
Observed Improved No Change Diminished Total
Low-Intensity Rehab 121 22 12 155
High-Intensity Rehab 143 17 9 169
Total 264 39 21 324
Marginal probability 81.5% 12.0% 6.5%
Expected Improved No Change Diminished Total
Low-Intensity Rehab 126.2963 18.65741 10.0463 155
High-Intensity Rehab 137.7037 20.34259 10.9537 169
Total 264 39 21 324
Chitest
Chiinv - test stat 5.9912
Chiinv - critical value 2.302

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