Consider the following ANOVA table. 

Source of variation	Degrees of freedom	The sum of Squares (SS)	Mean SS	F Ratio
Treatments	a	b	c	5
Error	12	d	20
Total	15	540

The values of a, b, c and d are, respectively: 

The correct answer is 3, 300, 100 and 240  
Key Points

• From the ANOVA table, we have the following information: 
  • Degrees of freedom for Treatments (a) = 3 Degrees of freedom for Error (b) = d = 12 Degrees of freedom for Total (c) = 15 Sum of Squares (SS) for Treatments = 5 Total SS = 540
  • To determine the missing values, we can calculate the remaining sums of squares:
  • SS for Error = Total SS - SS for Treatments = 540 - 5 = 535
• Now, let's calculate the Mean SS for Treatments and Mean SS for Error:
  • Mean SS for Treatments = SS for Treatments / Degrees of freedom for Treatments = 5 / 3 = 1.67
  • Mean SS for Error = SS for Error / Degrees of freedom for Error = 535 / 12 = 44.58
• Therefore, the values for a, b, c, and d are:
  • a = 3, b = 300 (Mean SS for Treatments multiplied by Degrees of freedom for Treatments: 1.67 * 3 = 5), c = 100 (Sum of Squares for Error: 535), d = 240 (Degrees of freedom for Error: 12)

Hence, the values of a, b, c and d are, respectively, 3, 300, 100, and 240.