Yu Score

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To rank candidates in all of our scholarship tests, we use a measure called yu Score. This score is based on the marks obtained and time taken by the candidate for a given test. This blog post explains the definiton of this score along with how it is used to rank the candidates.

What is yu Score?

yu score of any candidate is based on the marks score and time taken by the candidate for a given test. This score will always lie between 0 to 1 and we calculate this score till the 6th decimal place to ensure ranking is transparent and avoid collision/tie of ranks. It is calculated as follows

yu = W1 x Pm + W2 x (1- Pt)

Where:

• yu is the yu score of the candidate.
• W1 This is the weight factor used by us on score performance, which stands at 0.80
• Pm is percentage marks achieved by the candidate, which is calculated as (Total Marks of the Candidate / Maximum Marks allowed for the Test)
• Pt is percentage Time taken by the candidate to finish the test, it is measured in milliseconds from the start of the test till the submission and is calculated as (Total Time taken by the Candidate to finish the test / Total Time allowed for the Test)
• W2 This is the weight factor used by us on speed performance, which stands at 0.20

Example:

• Time measures are in milliseconds. In this example time allowed was 60 mins i.e. 3600000 milliseconds.
• All measures are calculated uptill 6th decimal place.

Candidate	Total Marks	Total Time Allowed	Marks Scored	Time taken	Pt	Pm	yuScore
Candidate 1	200	3600000 ms	189	3598450 ms	0.945000	0.999569	0.756086
Candidate 2	200	3600000 ms	143	3513216 ms	0.715000	0.975893	0.576821

How do we rank candidates?

We rank all candidates based on thier yu score and then apply relevant cutoffs to decide who wins the scholarship grant if any. Here is an example.

Lets say the test with the below specifications and offers the following grants against the defined yu score cutoffs.

Test Specifications

• Total Questions : 50
• Total Time : 3600000 milliseconds
• +2 marks for every correct answer
• -1.5 marks for every incorrect answer
• -0.5 marks for every unattempted question

Grant Amount	Count of Scholarships	yu score Cutoff
₹ 500,000	2	0.760001 and above
₹ 300,000	4	0.720001 and above
₹ 100,000	6	0.680001 and above

Here is the sample performance table of the 25 candidates who attended this test. Please scroll right to view the whole table.

Candidate	Total Questions	Total Marks	Time Allowed	Questions Attempted	Questions Unattempted	Correct Answers	InCorrect Answers	Marks Obtained	Time Taken	Pm	Pt	yu Score
Candidate 1	50	100	3600000	50	0	49	1	96.50	2927439	0.965000	0.813178	0.809365
Candidate 2	50	100	3600000	49	1	48	1	94.00	3203423	0.940000	0.889840	0.774032
Candidate 3	50	100	3600000	47	3	46	1	89.00	3106454	0.890000	0.862904	0.739419
Candidate 4	50	100	3600000	48	2	48	0	95.00	3073988	0.950000	0.853886	0.789223
Candidate 5	50	100	3600000	50	0	37	13	54.50	2985011	0.545000	0.829170	0.470166
Candidate 6	50	100	3600000	47	3	47	0	92.50	3424499	0.925000	0.951250	0.749750
Candidate 7	50	100	3600000	48	2	38	10	60.00	3379461	0.600000	0.938739	0.492252
Candidate 8	50	100	3600000	49	1	45	4	83.50	3399867	0.835000	0.944408	0.679119
Candidate 9	50	100	3600000	48	2	45	3	84.50	3258594	0.845000	0.905165	0.694967
Candidate 10	50	100	3600000	50	0	37	13	54.50	3216239	0.545000	0.893400	0.457320
Candidate 11	50	100	3600000	50	0	44	6	79.00	3362719	0.790000	0.934089	0.645182
Candidate 12	50	100	3600000	46	4	40	6	69.00	3352336	0.690000	0.931204	0.565759
Candidate 13	50	100	3600000	50	0	37	13	54.50	2945212	0.545000	0.818114	0.472377
Candidate 14	50	100	3600000	49	1	35	14	48.50	2957078	0.485000	0.821411	0.423718
Candidate 15	50	100	3600000	48	2	48	0	95.00	2883636	0.950000	0.801010	0.799798
Candidate 16	50	100	3600000	50	0	39	11	61.50	3181140	0.615000	0.883650	0.515270
Candidate 17	50	100	3600000	46	4	44	2	83.00	3079889	0.830000	0.855525	0.692895
Candidate 18	50	100	3600000	48	2	45	3	84.50	3496832	0.845000	0.971342	0.681732
Candidate 19	50	100	3600000	48	2	48	0	95.00	3209114	0.950000	0.891421	0.781716
Candidate 20	50	100	3600000	50	0	48	2	93.00	3122776	0.930000	0.867438	0.770512
Candidate 21	50	100	3600000	47	3	38	9	61.00	3195067	0.610000	0.887519	0.510496
Candidate 22	50	100	3600000	48	2	42	6	74.00	3393045	0.740000	0.942513	0.603498
Candidate 23	50	100	3600000	50	0	37	13	54.50	3376528	0.545000	0.937924	0.448415
Candidate 24	50	100	3600000	48	2	42	6	74.00	3205194	0.740000	0.890332	0.613934
Candidate 25	50	100	3600000	47	3	42	5	75.00	3569236	0.750000	0.991454	0.601709

Based on the above results we assign rank to each candidate based on the yu score and put the candidates on an ascending order of the rank. After this, we apply the qualifying cutoffs for relevant grant schedule to define who gets which grant.

It is important to note that

• even if a candidate qualifies a cutoff for a given grant level, he/she might not be eligible for the grant as they have to hit a relevant rank to get the fixed inventory of grants.
• even if a candidate gets a higher rank but does not qualify the cutoff of a given grant schedule, he/she might not be eligible for the grant as they have to cross the cutoff to get the fixed inventory of grants.
• So, it is important to pass the cutoffs along with best of ranks for winning the scholarship grant.

Candidate	Pm	Pt	yu Score	Rank	Grant 1	Grant 2	Grant 3	Scholarship
Candidate 1	0.965000	0.813178	0.809365	1	Qualifies CutOff	Qualifies CutOff	Qualifies CutOff	500000
Candidate 15	0.950000	0.801010	0.799798	2	Qualifies CutOff	Qualifies CutOff	Qualifies CutOff	500000
Candidate 4	0.950000	0.853886	0.789223	3	Qualifies CutOff	Qualifies CutOff	Qualifies CutOff	300000
Candidate 19	0.950000	0.891421	0.781716	4	Qualifies CutOff	Qualifies CutOff	Qualifies CutOff	300000
Candidate 2	0.940000	0.889840	0.774032	5	Qualifies CutOff	Qualifies CutOff	Qualifies CutOff	300000
Candidate 20	0.930000	0.867438	0.770512	6	Qualifies CutOff	Qualifies CutOff	Qualifies CutOff	300000
Candidate 6	0.925000	0.951250	0.749750	7	Does not Qualify	Qualifies CutOff	Qualifies CutOff	100000
Candidate 3	0.890000	0.862904	0.739419	8	Does not Qualify	Qualifies CutOff	Qualifies CutOff	100000
Candidate 9	0.845000	0.905165	0.694967	9	Does not Qualify	Does not Qualify	Qualifies CutOff	100000
Candidate 17	0.830000	0.855525	0.692895	10	Does not Qualify	Does not Qualify	Qualifies CutOff	100000
Candidate 18	0.845000	0.971342	0.681732	11	Does not Qualify	Does not Qualify	Qualifies CutOff	100000
Candidate 8	0.835000	0.944408	0.679119	12	Does not Qualify	Does not Qualify	Does not Qualify	0
Candidate 11	0.790000	0.934089	0.645182	13	Does not Qualify	Does not Qualify	Does not Qualify	0
Candidate 24	0.740000	0.890332	0.613934	14	Does not Qualify	Does not Qualify	Does not Qualify	0
Candidate 22	0.740000	0.942513	0.603498	15	Does not Qualify	Does not Qualify	Does not Qualify	0
Candidate 25	0.750000	0.991454	0.601709	16	Does not Qualify	Does not Qualify	Does not Qualify	0
Candidate 12	0.690000	0.931204	0.565759	17	Does not Qualify	Does not Qualify	Does not Qualify	0
Candidate 16	0.615000	0.883650	0.515270	18	Does not Qualify	Does not Qualify	Does not Qualify	0
Candidate 21	0.610000	0.887519	0.510496	19	Does not Qualify	Does not Qualify	Does not Qualify	0
Candidate 7	0.600000	0.938739	0.492252	20	Does not Qualify	Does not Qualify	Does not Qualify	0
Candidate 13	0.545000	0.818114	0.472377	21	Does not Qualify	Does not Qualify	Does not Qualify	0
Candidate 5	0.545000	0.829170	0.470166	22	Does not Qualify	Does not Qualify	Does not Qualify	0
Candidate 10	0.545000	0.893400	0.457320	23	Does not Qualify	Does not Qualify	Does not Qualify	0
Candidate 23	0.545000	0.937924	0.448415	24	Does not Qualify	Does not Qualify	Does not Qualify	0
Candidate 14	0.485000	0.821411	0.423718	25	Does not Qualify	Does not Qualify	Does not Qualify	0