Goldsmiths - University of London

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Three levels

Every degree programme that has courses at Levels 1, 2 and 3 has three weights associated with it. These are called w 1, w 2 and w 3. They denote the relative importance given to each course at Levels 1, 2 and 3 respectively. The weights are recommended by the relevant sub-board but approved by the College Board of Examiners. The weights must always satisfy 0<w 1 < w 2 < w 3; normally they must also satisfy 2w 1 < w 2 and w 3 <6w 1.

Each such degree programme also has a number z associated with it. This is the number of courses that will be weighted most highly. Normally z is equal to the minimum number of course-units at Level 3 that a student on the given degree programme may take, but z may be lower than this. Thus z is equal to one of ½, 1, 1 ½, 2, 2 ½, 3, 3 ½, 4. The value of z is recommended by the relevant examination board but approved by the College Board of Examiners.

Three levels; full course-units only

If the degree programme has three levels and all courses are full course-units, then M is calculated by the formula


Where:

D = 3w1 + yw2 + zw3
y = 7 - z
X = total of the marks on the best three course units at level 1
Z = total of the marks on the best z course units at level 3
Y = total of the marks on the best y remaining course units at levels 2 and 3

Example of Rule
Suppose that

w1 = 1, w2= 3 w3 = 5, and z = 3. Then y = 4, D = 3 + 12 + 15 = 30 and
M = X + 3Y + 5Z
              30



Example of Candidate
Suppose that a candidate's marks are:

Level 1: 58, 53, 46, 39
Level 2: 55, 67, 47, 50,
Level 3: 68, 56, 54, 49

Then:

X = 58 + 53 + 46 = 157
Z = 68 + 56 + 54 = 178
Y = 67 + 55 + 50 + 49 = 221
M = 1710 = 57.00
         30

Three levels; half course-units only

If the degree programme has three levels and all courses are half course-units, then M is calculated by the formula

where:

D = 6w 1 + yw 2 + 2zw 3
y = 14 - 2z
X = total of the marks on the best 6 half course-units at Level 1
Z = total of the marks on the best 2z half course-units at Level 3
Y = total of the marks on the best y remaining half course-units at Levels 2 and 3

Note that w 1, w 2, w 3, y, z and D are the same for the whole degree programme; only X, Y and Z change with each candidate.

Example of Rule
Suppose that w 1 = 1, w 2 = 3, w 3 = 5 and z = 2½. Then y = 9, D = 6 + 27 + 25 = 58 and



Example of Candidate
Suppose that a candidate's marks are:

Level 1: 58, 41, 68, 55, 58, 53, 39, 28
Level 2: 59, 66, 76, 55, 56, 68, 55, 64, 66
Level 3: 67, 50, 76, 88, 58, 78, 73

Then:

X = 68 + 58 + 58 + 55 + 53 + 41 = 333
Z = 88 + 78 + 76 + 73 + 67 = 382
Y = 76 + 68 + 66 + 66 + 64 + 59 + 58 + 56 + 55 = 568
X + 3Y + 5Z = 3947
M = 3947 = 68.05
          58

Three levels; full and half course-units

If the degree programme has three levels, and some courses are full course-units and some are half course-units, then either of the following procedures may be used. They should give the same answer.

(a) Count each full course-unit as two half course-units at the same Level and with the same mark.
Then use formula for three levels; half course units only.
(b) Decide which are the best courses equivalent to 3 full course-units at Level 1, and the best courses equivalent to z full course-units at Level 3, and the best courses equivalent to 7 - z full course units among the remaining courses at Levels 2 and 3. Make allowance for the fact that it is possible for only half of a full course-unit to contribute to a total. Then divide all marks on half course-units by 2. Then use formula for three levels; full course units only.

Example of Rule using (b)
Suppose that w 1 = 1 and w 2 = 3, w 3 = 5 and z = 3. Then y = 4, D = 3 + 12 + 15 = 30 and



Example of Candidate
Suppose that a candidate's marks are:

Level 1: 50, 55, 60, 65 full course-units
Level 2:   40, 47, 58, 63, full course-units
  56 half course-units
Level 3: 50, 60, 80 full course-units
  70 half course-units

Then:

X = 65 + 60 + 55 = 180
Z = 80, 70/2 + 60 + 50/2 = 200
Y = 63 + 58 + 56/2 + 50/2 + 47 = 221
X + 3Y + 5Z = 1843
M = 1843 = 61.43
         30

If you have any queries about the way in which your final result is calculated, please contact your Departmental Examinations Officer.