View item statistics

Item statistics in the Gradebook are data on how your students performed on all pieces of content within a specific activity.

This information can help you to perfect the design of your content and to understand where in your content your students are excelling or struggling.

After performing a Gradebook search (check out Search for class grades), you can view this statistical data while viewing activity Gradebook data (check out View activity Gradebook data).

View item statistics

To view the item statistics for all of the content in a specific activity:

  1. Click Gradebook on the Class Homepage.

  2. Click Item Statistics.

  3. Select the unit where the activity of interest is stored from the Units list.

  4. Select the specific activity of interest from the list of available activities.

  5. Select which class you want to use to view the item statistics from the Classes list in the Filter Results pane

  6. (Optional) Customize the data fields beyond the default settings that control what information is included in the calculations of your item statistics. Check out Use additional Gradebook search criteria.

  7. Click Search.

  8. The item statistics are displayed as a part of the activity's/activities' Gradebook data (check out View activity Gradebook data for more details on other information that's displayed on this page).

Item statistic calculations

The numerical values of the item statistics are calculated using these formulas:

Statistic

Explanation

Success Rate

The average normalized score on the question (i.e. grade scaled to between 0.0 and 1.0).

Purpose: Measures the difficulty level of the question being asked; easier questions have values closer to 1.0.

p-Value

The ratio of the number of fully correct responses (i.e. where the normalized score is 1.0) to the total number of responses.

Purpose: Measures how likely students should be to fully understand the question and get it fully correct; easier questions have values closer to 1.0.

d-Value (discrimination value)

The difference in p-Value between two groups: those attempts that scored above the median on the full activity, and those that scored below the median.

  • n1 = number of activities with scores >= median grade for the activity

  • n2 = number of activities with scores < median grade for the activity

  • F1 = number of fully correct responses from n1

  • F2 = number of fully correct responses from n2

Purpose: Measures how clearly the question discriminates between students who score higher on the full activity and those who score lower; questions that are better discriminators have values closer to 1.0.

p-Biserial (point-biserial correlation coefficient)

A correlation coefficient relating performance on a question with dichotomized grades, to performance on the full activity.

Measures the extent to which students who score high on the activity tend to get the question correct and those who score low tend to get the question incorrect.

  • Y1 = mean grade of activities on which this question was answered correctly.

  • Y0 = mean grade of activities on which this question was answered incorrectly.

  • p = p-Value

  • q = 1-p

  • = standard deviation for activity grades.

Purpose: Best used when the question doesn't permit partial grading (i.e. grades are 1.0 or 0.0), this statistic indicates the level of correlation between a student answering the question correctly and them doing well on the activity. A value closer to 1 implies stronger correlation.

r-Biserial (biserial correlation coefficient)

A correlation coefficient relating performance on a question with normalized grades, to performance on the full activity.

Measures the extent to which students who score high on the activity tend to get the question correct and those who score low tend to get the question incorrect.

  • Y1 = mean grade of activities on which this question was answered correctly.

  • Y0 = mean grade of activities on which this question was answered incorrectly.

  • p = p-Value

  • q = 1-p

  • Y = the height of the standardized normal distribution at the point z, where P(z'<z)=q and P(z'>z)=p.

  • = standard deviation for activity grades.

Purpose: Best used when the question uses partial grading (i.e. question grades are closer to a normal distribution and less likely to be 0.0 or 1,0), this statistic indicates the level of correlation between a student doing well on the question and them doing well on the activity. A value closer to 1 implies stronger correlation.

Count

The number of attempts at this question included in the statistic calculations.

Correct

The number of attempts at this question that received a score of 1.0/1.0.

Partial

The number of attempts at this question that received a partial score (i.e. strictly between 0.0 and 1.0) for this question.

Incorrect

The number of attempts at this question that received a score of 0.0/1.0.