...
Variable | Category 1 | Category 2 |
|---|---|---|
g j | 0.9525 | 0.87258650 |
c j | 0.6000 | 0.4000 |
h j | 0.5715 | 0.3460 |
v j | 0.5715 | 0.3460 |
...
Z 1 = 0.2967 + 0.3100 + 0.3267 + 0.1000
Z 1 = 1.0334
but since a category grade cannot contribute more than the desired weight for that category, we truncate this down to 1
Z 1 = 1.0
Melody's "Category 2" Item Weights:
...
Variable | Item 2.1 | Item 2.2 | Item 2.3 |
|---|---|---|---|
w i | 0.3330 | 0.3330 | |
p i | 0.87 | 0.91 | |
x i | 0.2871261 | 0.3003273 | |
y i | 0.4785435 | 0.5005455 |
Therefore,
Z 2 = 0.4785 435 + 0.5005455
Z 2 = 0.979089
Melody's projected course grade
Category Name | Category Grade | Category Weight |
|---|---|---|
Category 1 | 1.0334 | 0.6000 |
Category 2 | 0.97908900 | 0.4000 |
C = 1
r = 1
Variable | Category 1 | Category 2 |
|---|---|---|
g j | 1.03340000 | 0.97908900 |
c j | 0.6000 | 0.4000 |
h j | 0.620046000 | 0.39163560 |
v j | 0.620046000 | 0.39163560 |
% score = 0.62004 6000 + 0.3916 3560 = 10.0116 956 = 10195.16%60%
Summary of example scores
Student | Item 1.1 | Item 1.2 | Item 1.3 | Item 1.4 | Extra Credit Item | Z 1 | Item 2.1 | Item 2.2 | Item 2.3 | Z 2 | % score | ||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Joe | 0.95 | 0.80 | 0.87 | 0.79 | 1.00 | 0.9525 | 16% | 12% | 12%0.85 | 0.88 | 0.87 | 0.87258650 | (0.9525*0.6) + (0.87258650*0.4) = 9291.05%75% |
Melody | 0.89 | 0.93 | 0.98 | 1.00 | 1.0334000 | - | 0.87 | 0.91 | 0.8811 | (1.0334000*0.6) + (0.97908900*0.4) = 10195.16%60% | |||
Francis | 0.87 | - | - | - | 1.00 | tba 0.9700 | 0.76 | - | - | tba | tba 0.7600 | (0.9700*0.6) + (0.7600*0.4) = 88.60% | |
Roderick | 1.00 | - | - | - | 1.00 | tba 1.000 | - | - | - | tba | tba - | 1.000*1.0 = 100.00% |