Question

In this region, projectile points become smaller (and lighter) gradually over time.   

Total Weight	Site A	Site B
< 1.0	2	0
1.0-1.9	15	6
2.0 - 2.9	10	13
3.0 - 3.9	3	6
4.0 - 4.9	5	5
5.0 - 5.9	2	6
≥6	0	3

Based on these data, is Site A later than Site B? Test this theory using a Kolmogorov-Smirnov Two-Sample Test.

Answer 1

let us consider

H0 = site A is not later than site B

H1 : Site A is later than site B

site A	Site B	cumlative % site A	cumlative % site B	difference
2	0	0.054054	0	0.054054
15	6	0.459459	0.153846	0.305613
10	13	0.72973	0.487179	0.24255
3	6	0.810811	0.641026	0.169785
5	5	0.945946	0.769231	0.176715
2	6	1	0.923077	0.076923
0	3	1	1	0
37	39

D stat = max ( difference ) = 0.305613

D critical at 0.05 = 0.6439

since   D stat <  D critical so null hypothesis is accepted

and conclude that site A is not later than site B