In: Statistics and Probability
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 |
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 | |||