Data Transformation Technique to Improve the Outlier Detection Power of Grubbs’ Test for Data Expected to Follow Linear Relation

Table 5

Data set 3 (): neither the maximum nor the minimum is the outlier; deviation is very small. With new transformation technique, Grubbs’ test on is capable of identifying the outlier with significance level of 0.01. However, Grubbs’ test on is capable of identifying the outlier with even significance level of 0.05.

						Grubbs’ test on	Grubbs’ test on
1	30.0	—	—	9.999996	20.00000	No	No
2 ()	40.0001	40.0001	9.999975	19.999993	20.00011	Yes	No
3	50.0	50.0	10.000005	29.999989	20.00001	No	No
4	60.0	60.0	10.000008	39.999986	20.00001	No	No
5	70.0	70.0	10.000025	49.999982	20.00002	No	No
6	80.0	80.0	9.999975	59.999979	20.00002	No	No
7	90.0	90.0	9.9999917	69.999975	20.00003	No	No
8	100.0	100.0	9.999995	79.999971	20.00003	No	No
9 ()	110.0	110.0	9.9999964	89.999968	20.00003	No	No
10	120.0	—	—	99.999964	20.00004	No	No