Table 2 Two-sample Kolmogorov–Smirnov (KS) test results concerning alcohol, vegetable, high caloric food and daily water intake.

Learner	KS test 1		KS test 2		No.O	No.NO	No.G
Learner	KS test 1 D	P value 1	KS test 2 D	P value 2	No.O	No.NO	No.G
Alcohol intake options: Yes No
T	0.5647	< 2.2e−16	0.3892	6.7e−16	272	500	207
X	0.5592	< 2.2e−16	0.3897	7.8e−16	269	503	207
S	0.5437	< 2.2e−16	0.3284	2.9e−11	262	510	207
SX	0.5255	< 2.2e−16	0.3082	3.5e−11	352	420	207
SXwint	0.5843	< 2.2e−16	0.3355	7.1e−13	331	441	207
Vegetable intake frequency options: high low
T	0.5022	< 2.2e−16	0.1782	3.2e−4	275	497	275
X	0.5594	< 2.2e−16	0.2216	4.2e−6	258	514	275
S	0.4165	< 2.2e−16	0.1213	4.2e−2	251	521	275
SX	0.4742	< 2.2e−16	0.1473	6.9e−3	249	523	275
SXwint	0.5741	< 2.2e−16	0.1131	4.2e−2	333	439	275
High caloric food intake options: Yes No
T	0.6683	< 2.2e−16	0.3359	1.2e−4	170	602	58
X	0.6722	< 2.2e−16	0.3267	2.2e−4	162	610	58
S	0.6004	< 2.2e−16	0.2343	2.1e−2	147	625	58
SX	0.5391	< 2.2e−16	0.1675	1.3e−1	305	467	58
SXwint	0.6530	< 2.2e−16	0.2096	3.3e−2	242	530	58
Daily water intake frequency options: high low
T	0.4001	< 2.2e−16	0.1474	7.3e−4	341	431	391
X	0.4282	< 2.2e−16	0.1411	7.6e−4	400	372	391
S	0.3880	< 2.2e−16	0.1342	2.5e−3	352	420	391
SX	0.3150	< 2.2e−16	0.1255	7.2e−3	329	443	391
SXwint	0.4553	< 2.2e−16	0.2057	1.3e−6	295	477	391

KS Test 1 D and P Value 1 are the test statistic and p value of KS test 1 between the distributions of BMI in personalized optimal and non-optimal groups. KS Test 2 D and P Value 2 are the test statistic and p value of KS test 2 between the distributions of BMI in personalized optimal and general optimal groups. No. O is the sample size of personalized optimal group. No. NO is the sample size of non-optimal group. No.G is the sample size of general optimal group.
The largest KS test distance statistic produced under each type of food or drink is in bold.

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