Question

Water samples were taken at three different spots in a lake to determine whether the quantity of dissolved carbon dioxide, a measure of water pollution, varied from one location to another. The results are given in the table below.

1	2	3
6.5	6.7	4.5
6.3	6.7	3.5
5.2	6.5	3.9
5.8	6.3

If we were to use ANOVA to analyze this data, what would be the value of SS(treatment)?

Answer 1

One way Anova

The results of conducting ANOVA are as follows,
	Sum of Squares	df	Mean Square	F	Sig.
Between Groups	12.095	2	6.048	29.742	.000
Within Groups	1.627	8	.203
Total	13.722	10

Here between spot sum of squares,SSbetween=12.095.

And, Within Spot sum of squares,SSwithin=1.627.

The differences in the mean values among the treatment groups are greater than would be expected by chance; there is a statistically significant difference (P = <0.001).