week 3 - selection of items Flashcards
item analysis table
each column represents an item (a,b,c,d)
each row represents a respondent (1,2,3,4)
knwoledge based: insert a 1 in each cell for which the respondent answered correctly and a 0 for incorrect
- then add up all the scores to give total score for each row
facility index
indication of the extent to which all respondents answer an item in the same way
- means items are redundant and should get rid of them
item difficultu
implicit notion of right or wrong and suggets this estimate would only be appropriate for knowledge based tests
- this exists for all tests
facility index for person based questionaires
calculated by dividing number or respondents which obtain correct response for an item by the total number of respondents
ex. let’s say we have 100 people write a test
and for a specific item, 70 obtain the correct response.
Then the facility index would be calculated as 70/100 =
0.70
meanings of facility indexes
facility index for each item should lie between 0.25 and 0.75, averaging 0.5 for the entire questionnaire
less than 0.25 indicates the item is too difficult
more than 0.75 shows the item is too easy
facility index should be higher than chance
Calculating optimal difficulty
= ( 1 + chance) / number of options
ex. true/false time (2 options, chance 0.5)
optimal difficulty = (1 + 0.5) / 2 = 1.5/2 = 0.75
facility index for person based
summing the scores for the item for each respondent, then dividing this total by the number of respondents
- If the facility index is 2 in a four option item due to everyone selecting option 2, then the item is not useful as everyone is selecting the same choice
Discrimination
ability of each item to discriminate among respondents according to whatever the questionnaire is measuring
- Items should be selected if they measure the same
knowledge or characteristic as the other items in the
questionnaire
how is discrimination measured
correlating each item with the total score from summing all the other items in the questionnaire
- min. 0.20 is considered acceptable
- Items with negative or zero correlations are always
excluded
item characteristic curve
- visual approach to examining discrimination
- break the total score into a number of bins
- identify the proportion of correct responses on a given item in each bin
- connect dots and hope to see for a given item - as we move up in bins we will see proportion increasing
- Flat items would indicate a 0 correlation
ICC Matrix
- a tool to plot both difficulty and discrimination with many items
- can place a line at the recommended cut offs to identify which items are deemed good vs bad
use of distractors
each distractor should have an equal probability of being selected
- Items for which the distractor options are not roughly equal in proportion are considered to not be
functioning properly
modification
plan to use 50%+ more items than you will need for the final survey as you will throw many items out
considerations for total amount of items
- facility
- discrimination
- distractors
- number of items u require for final version
- how well items fit the blueprint
reliability
is an estimate of the accuracy of a questionnaire
- Generally want a minimum reliability of 0.70 for person-based and 0.80 for knowledge-based questionnaires