An experiment was conducted to compare the average body tempera often prescribed

Question

An experiment was conducted to compare the average body tempera often prescribed for a specific disorder. To do this, each of 3 investigatons with prior elinical experience of this nature w to obtain a random sample of patients from his or her practice who satisfy the study investigator was to randomly allocate the medications one to each person. Each patientin the study was given the assigned mediation at 6:00 a.m. of the assigned study day. Temperatures were taken at hourlyintervals begi a.m. and continuing for 10 hours. During this time the patients were not allowed to do any physical activity and had to lie in bed. To eliminate the variability of temperature readings within a day, the average of the hourly deteminations was the response o finterest. These data are given below. ture for persons taking one of 9 different medications ific disorder. To do this, each of3 investigators with prior clinical experience of this nature was Then the Using SPSS perform an analysis of variance to test a difference in man temperatures for medications and then for investigators. Summarize your results in an ANOVA table. Use 0.05. Ifappropriate, perform a Tukey test to assess the mean differences among the Medications. Interpret the results thoroughly. Medication Investigator A 979-97.9 97 198.0197.8 1 97.8 | 98.0 | 97.3 97.897.3 97.8 98.1 97.2 98.1 97.9 97.6 98.0 97.2 97.7 97.8 97.5 97.7 97.8 97.7 97.9 97.9 97.6 9 97.697.5 98.0 97.8 97.7 97.997.697.8 97.8 97.9 97.5 97.8 98.0 97.6 97.9 98.0 97.6 97.4 97.3 97.5 98.0 97.6 98.0 97.7 98.1- 97.4 97.6 97.8-97.7 97.8 97.6 97.7 97.697.7 97.9 97.5 97.9 97.9 97.8 97.3t 97.8 97.9 -197.797.6 97.7 97.8t97.8- 9 97.5 | 97.6 | 98.0 197.9 | 97.7 97.9 97.4 | 97.8 98.0 97.897.8 98.1 97.9 98.0 97.7 97.7 97.8 97.8 97.8 97.9 97.6 98.0 G 97 9999 9999 97-97-97 07898 907 F99999 99999-950 99886 98878 88778 789 E99999-99999 990 54567 988 87877 C-999-99 91886 081 78777 99999-9-90 87677-6 A99999 99999

Explanation / Answer

The results are

Anova: Two-Factor With Replication SUMMARY A B C D E F G H I Total 1 Count 5 5 5 5 5 5 5 5 5 45 Sum 487.4 489.6 489.6 487.2 489 489 487.2 489.7 489.2 4397.9 Average 97.48 97.92 97.92 97.44 97.8 97.8 97.44 97.94 97.84 97.73111 Variance 0.072 0.042 0.017 0.018 0.005 0.015 0.058 0.008 0.013 0.064465 2 Count 5 5 5 5 5 5 5 5 5 45 Sum 487.3 488.5 489.2 487.7 488.8 489.2 487.5 489.5 489.4 4397.1 Average 97.46 97.7 97.84 97.54 97.76 97.84 97.5 97.9 97.88 97.71333 Variance 0.013 0.005 0.033 0.013 0.003 0.013 0.015 0.005 0.027 0.038455 3 Count 5 5 5 5 5 5 5 5 5 45 Sum 488.3 488.9 490.3 488.9 489.5 489.4 487.8 489.3 490 4402.4 Average 97.66 97.78 98.06 97.78 97.9 97.88 97.56 97.86 98 97.83111 Variance 0.023 0.017 0.153 0.012 0.025 0.012 0.028 0.008 0.01 0.048556 Total Count 15 15 15 15 15 15 15 15 15 Sum 1463 1467 1469.1 1463.8 1467.3 1467.6 1462.5 1468.5 1468.6 Average 97.53333 97.8 97.94 97.58667 97.82 97.84 97.5 97.9 97.90667 Variance 0.039524 0.027143 0.066857 0.034095 0.013143 0.012571 0.031429 0.007143 0.019238 ANOVA Source of Variation SS df MS F P-value F crit Sample 0.362815 2 0.181407 7.387632 0.000984 3.080387 Columns 3.511704 8 0.438963 17.87632 9.39E-17 2.025247 Interaction 0.501185 16 0.031324 1.275641 0.225991 1.738001 Within 2.652 108 0.024556 Total 7.027704 134

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