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To test for a Dose effect on Body Temperature adjusting for Age and BMI, we can use the Type 1 SS (Sum of Squares) from
To test for a Dose effect on Body Temperature adjusting for Age and BMI, we can use the Type 1 SS (Sum of Squares) from the ANOVA table. The Type 1 SS for Dose represents the additional variation in Body Temperature explained by Dose after accounting for the effects of Age and BMI. Given: Type 1 SS for Dose = 0.1158 Total SS = 0.0246 + 0.0000 + 0.1158 + 0.1596 + 0.2616 + 2.1845 = 2.7461 Step 1: Calculate the degrees of freedom for Dose. df_Dose = Number of Dose levels - 1 = 3 - 1 = 2 Step 2: Calculate the Mean Square (MS) for Dose. MS_Dose = Type 1 SS_Dose / df_Dose MS_Dose = 0.1158 / 2 = 0.0579 Step 3: Calculate the Mean Square Error (MSE) from the ANOVA table. MSE = SS_Error / df_Error df_Error = Total number of observations - Total number of parameters df_Error = 125 - (1 + 1 + 1 + 2 + 3 + 2) = 115 MSE = 2.1845 / 115 = 0.0190 Step 4: Calculate the F-statistic for Dose. F_Dose = MS_Dose / MSE F_Dose = 0.0579 / 0.0190 = 3.05 Step 5: Determine the p-value for the F-statistic. The F-statistic follows an F-distribution with (df_Dose, df_Error) degrees of freedom. p-value = P(F(2, 115) > 3.05) Using statistical software or an F-distribution table, we can find the p-value. For this example, let's assume the p-value is 0.0510.(is my calculation correct?)
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