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Points calculation logic

Mika Tompuri edited this page Oct 19, 2023 · 12 revisions

This explains how exercise points are calculated.

General

  • Total points set for an exercise are divided equally between tasks.
  • Zero points is the minimum number of points awarded. Student cannot receive negative points from an exercise.

How points are divided between tasks and quiz items

  • Exercise total points are divided equally between tasks. Task points are divided equally between quiz items. Quiz item points are divided equally between correct answer options (if the student can select more than one answer option).
  • Formula: Exercise total points (total points available) / number of tasks / number of quiz items (/ number of answer options).

Example

  • Exercise total points = 8
  • Number of tasks = 2
  • Quiz items in task one = 1
  • Quiz items in task two = 2
  1. Exercise total points (8 points) is divided between 2 tasks = 4 points per task
  2. Points per task (4 points) are divided between quiz items:
  • Task 1: 4 task total points / 1 (number of quiz items) = 4 points
  • Task 2: 4 task total points / 2 (number of quiz items) = 2 points per quiz item
  • Task 2, Quiz item 1: Only one answer option can be selected, correct answer is worth 2 points.
  • Task 2, Quiz item 2: Multiple answer options can be selected, every wrong answer option selected cancels out a correct option selected: 2 correct answer options, each worth 1 point.

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Multiple options grading policy

If your task has multiple correct answer options, you can select how the answers are graded:

  • All correct, none incorrect: Student has to select every correct option to receive points. None of the incorrect options may be selected.
  • Reduce points from incorrect options: Each correct option awards students points. Each incorrect option selected reduces points. Points for a task are divided equally between correct answer options. Each wrong options cancels out one correct option.
  • Reduce points from incorrect and unselected options: Each correct option awards students points. Each incorrect and unselected correct option selected reduces points. Each wrong and unselected correct option cancels out one correct option.
  • Some correct, none incorrect: You get full points for any combination of correct answers and if none of the incorrect answers are selected.

Examples: Same exercise graded with different policies

No incorrect options selected

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How many points would be awarded for the answer in the image above according to each grading policy

  • All correct, none incorrect: 0/3 points. One correct answer option has not been selected (option 3). Since the answer is not 100% correct, no points are awarded.
  • Reduce points from incorrect options: 2/3 points. Student would receive a point for each correct answer option they selected (+ 2 points). They did not select any incorrect options (option 4), so no deductions based on the criteria occur (-0 points).
  • Reduce points from incorrect and unselected options: 1/3. Student receives a point for each correct answer option they selected (+ 2 points). However, since they also missed one correct option (option 3), one of the correct options they selected is canceled out (-1 point).
  • Some correct, none incorrect: 3/3 points. It is enough for the student to select any one of the correct answer options. As long as they do not select any incorrect options, they receive full points for the exercise.

Incorrect option selected

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How many points would be awarded for the answer in the image above according to each grading policy

  • All correct, none incorrect: 0/3 points. One correct answer option has not been selected (option 3) AND one incorrect option is selected. Since the answer is not 100% correct, no points are awarded.
  • Reduce points from incorrect options: 1/3 points. Student would receive a point for each correct answer option they selected (+ 2 points). However, they also selected one incorrect option, so one correct answers options selected is cancelled out (-1 points).
  • Reduce points from incorrect and unselected options: 0/3. Student receives a point for each correct answer option they selected (+ 2 points). However, since they also missed one correct option, one of the correct options they selected is canceled out (-1 point). In addition, they have also selected one incorrect answer option, so another correct answer option is cancelled out (-1 point).
  • Some correct, none incorrect: 0/3 points. It is enough for the student to select any one of the correct answer options. However, as a student has also selected one incorrect answer option, they receive no points at all.

Examples of multiple options grading policies

Case 1

  • Policy: all correct, none incorrect
  • Max points: 2
  • Answer options: 5 total (2 correct, 3 incorrect).
  • Points per correct answer option: Every correct option has to be selected to get the maximum 2 points. Impossible to receive 1 point.

Policy is set to all correct, none incorrect. Student has select both correct options (A, B) but also an incorrect option (C) and does not receive any points for the exercise.

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Student has to select both correct options (A, B) to receive max points from the exercise. (Note: If the student had only selected one of the two correct options (and none of the incorrect ones), the student would have received zero points.)

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Case 2

  • Policy: Reduce points from incorrect options
  • Max points: 3
  • Answer options: 5 total (3 correct, 2 incorrect).
  • Points per correct answer option: 3 points / 3 correct answer options = 1 point.

Policy Reduce points from incorrect options is selected. Student receives one point per correct option selected (max points: 2 / number of correct options: 2 = 1 point). Each wrong option selected cancels out one correct answer option selected. Here the student has selected both correct options, but one incorrect: 1 point (correct option A) + 1 point (correct option B) - 1 point (incorrect option C) = 1 point. (Note: Even if the student had selected the every option (2 correct, 3 incorrect), the total score would have been 0 as negative points are not awarded.

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Case 3

  • Policy: Reduce points from incorrect options
  • Max points: 2
  • Answer options: 5 total (4 correct, 1 incorrect).
  • Points per correct answer option: 2 points / 4 correct answer options = 0.5 points.

Student has selected all correct options (A-D) but also the incorrect option (E). Points for one correct option is cancelled out: 0.5 (A) + 0.5 (B) + 0.5 (C) + 0.5 (D) - 0.5 (E) = 1.5 / 2 points.

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Case 4

  • Policy: Reduce points from incorrect and unselected options
  • Max points: 3
  • Answer options: 4 total (3 correct, 1 incorrect).
  • Points per correct answer option: 3 points / 3 correct answer options = 1 point.

Student has selected two correct options (A, B), but has left a correct option unselected (C) and selected one wrong option (D). Points from the two correct answer options are cancelled out by the unselected and wrong answer options: 1 (A) + 1 (B) - 1 (C, unselected) - 1 (D, wrong) = 0 points.

2023-03-15_reduce_points_incorrect_unselected_zero

The total points is divided equally amongst the slides. The points of the slides are then divided equally amongst the tasks. Each task then gives points equal to percentage of the answer being correct.