1.
Suppose a researcher is interested in carrying out a phase IIclinical trial in order to assess the effectiveness of fourdifferent doses of an investigational new drug. Assume thefollowing table represents the summary statistics revolving aroundthe number of adverse events in the four fasting glucoses among thegroups.
Fasting Glucose | Treatment Group |
124 | 1 |
124 | 1 |
125 | 2 |
134 | 2 |
138 | 2 |
137 | 2 |
136 | 2 |
119 | 1 |
124 | 3 |
120 | 1 |
116 | 3 |
124 | 3 |
127 | 3 |
129 | 1 |
A) Calculate the MSW.
B) Calculate the MSB
| a | | A) MSW=154.741 B) MSB=31.226 |
| b | | A) MSW=186.198 B) MSB=29.714 |
| c | | A) MSW=194.689 B) MSB=21.777 |
2.
A researcher is interested in the effectiveness of a new asthmamedication at increasing the forced vital capacity (FVC) inchildren. The medicated spray to be used via inhaler has moved intophase II of clinical trials where five different treatment dosesare being tested against the control best standard of care. Supposethe following incomplete ANOVA table summarizes the preliminaryanalysis for the study.
| Sum of Squares | df | Mean Square |
Between Groups | 4032.2 | | |
Within Groups | | 439 | |
Total | 7492.7 | | |
A) Complete the ANOVA table
B) Calculate an F statistic and a pvalue.
| a | | A) SSW=3469.5, dfB=5, dfT=444,MSB=806.44, MSW=7.90 B) F=102.1, pvalue ~0 |
| b | | A) SSW=2561.2, dfB=10, dfT=125,MSB=502.14, MSW=11.2 B) F=123.8, pvalue ~1 |
| c | | A) SSW=1259.0, dfB=15, dfT=236,MSB=678.24, MSW=9.11 B) F=99.5, pvalue ~0 |
