Overview
- You have the table below for tablets weight of three facilities. Do the following:
- State the hypothesis
- State the decision rule?
- Use Excel to show your statistical analysis?
- Use the proper post hoc procedure to identify the differences if the ANOVA test showed to be significant?
| Facility A (mg) | Facility B (mg) | Facility C (mg) |
| 125 | 130 | 120 |
| 128 | 141 | 145 |
| 131 | 133 | 135 |
| 119 | 129 | 140 |
| 130 | 128 | 128 |
| 121 | 145 | 122 |
| 129 | 136 | 128 |
| 133 | 150 | 137 |
| 121 | 141 | 133 |
| 126 | 130 | 142 |
| 136 | 138 | 135 |
| 135 | 130 | 131 |
| 133 | 129 | 126 |
| 127 | 122 | 122 |
| 122 | 140 | 140 |
| 117 | 158 | 158 |
| 112 | 176 | 176 |
Q-2 Three physicians were selected for a study to evaluate the length of stay for patients undergoing a major surgical procedure. All procedures occur in the same hospital and were without complications. Eight records were randomly selected from patients treated over the past twelve months. Was there a significant difference, by physician, in the length of stay for these patients?
- State the hypothesis
- State the decision rule?
- Use Excel to show your statistical analysis?
- Use the proper post hoc procedure to identify the differences if the ANOVA test showed to be significant?
| Days in the Hospital | ||
| Physician A | Physician B | Physician C |
| 9 | 10 | 8 |
| 12 | 6 | 9 |
| 10 | 7 | 12 |
| 7 | 10 | 10 |
| 11 | 11 | 14 |
| 13 | 9 | 10 |
| 8 | 9 | 8 |
Q-3 Different fillers are used under different speed on tableting machines. Are there any significant differences in tablet hardness ?
- State the hypothesis
- State the decision rule?
- Use Excel to show your statistical analysis?
- Use the proper post hoc procedure to identify the differences if the ANOVA test showed to be significant?
| Filler/Speed | 80 | 100 | 120 | 180 | ||||
| Lactose | 7 | 8 | 6 | 7 | 6 | 7 | 6 | 7 |
| 5 | 7 | 8 | 8 | 8 | 9 | 8 | 9 | |
| 8 | 9 | 6 | 7 | 7 | 7 | 7 | 7 | |
| 7 | 7 | 8 | 10 | 9 | 10 | 8 | 9 | |
| MCC | 7 | 7 | 8 | 9 | 5 | 7 | 7 | 6 |
| 7 | 9 | 6 | 7 | 8 | 8 | 6 | 6 | |
| 5 | 7 | 8 | 7 | 5 | 7 | 8 | 7 | |
| 8 | 9 | 6 | 7 | 8 | 8 | 9 | 9 | |
| Dicalcium Phosphate | 7 | 5 | 4 | 6 | 6 | 7 | 4 | 6 |
| 5 | 7 | 6 | 7 | 4 | 5 | 9 | 7 | |
| 7 | 7 | 5 | 6 | 7 | 7 | 5 | 6 | |
| 5 | 8 | 7 | 8 | 5 | 6 | 7 | 6 |
Q-4 Two different scales are used to measure patient anxiety levels upon admission to a hospital. Method A is an established test instrument, while method B (New method) is a quicker and easier instrument to administer.
- Is there a correlation between the two methods
- Calculate r and r^2
- State the hypothesis
- Select the proper statistical analysis and state the decision rule at alpha =0.01? and show the result of your decision?
| Method A | Method B |
| 55 | 90 |
| 66 | 117 |
| 46 | 94 |
| 77 | 124 |
| 57 | 105 |
| 59 | 115 |
| 70 | 125 |
| 57 | 97 |
| 52 | 97 |
| 36 | 78 |
| 44 | 84 |
| 55 | 112 |
| 53 | 102 |
| 67 | 112 |
| 72 | 130 |
Q-5 Samples of a drug product are stored in their original containers under normal conditions and sampled periodically to analyze the content of the medication.
- Is there a linear relationship between the two variables
- Calculate the slope and y-intercept
- Calculate r and r^2
- State the hypothesis
- Select the proper statistical analysis and state the decision rule at alpha =0.01? and show the result of your decision?
| Time (months) | Assay (mg) |
| 3 | 998 |
| 6 | 995 |
| 12 | 984 |
| 18 | 973 |
| 24 | 960 |
| 36 | 952 |
| 48 | 940 |