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Writing MCQs

   Dr El-Marie Mostert
 el-marie.mostert@up.ac.za
Outcomes for this session


    After this session you should be able to:

•    discuss the principles of objective assessment
•    motivate the use of multiple choice questions
•    identify weaknesses in MCQ practice
•    write valid MCQ items
•    know when not to use MCQs
•    interpret statistical data
National Board of Medical Examiners (USA)
                                          (   )
•   http://www.nbme.org/
General guidelines
                               g

Keep the following in mind:

•   Subject
•   Learning outcomes
    Learning outcomes
•   Target group
•   Item writing techniques
Types of items
                         yp

• Choice items
  Choice items
   –   Multiple choice items
   –   Multiple response items
   –   Matching and extended matching items
       Matching and extended matching items
   –   True and false items
   –   Hot spot items


• Supply items
   – Filling in missing words/phrases/numbers
Terminology
                                 gy


• Stem
  – Question
  – Problem
  – Statement

• Options
  Opt o s
  – Distracter (wrong answers)
  – Key (correct answer)
The item must measure one important goal


Pretoria:
A. has the largest residential university in South Africa.
B. was named after Hendrik Potgieter.
C. is the oldest village in Gauteng.
D. has a larger population than Durban.



 What is the executive capital of South Africa?
 A. Cape Town
 B. Durban
 C. Bloemfontein
 D. Pretoria
Avoid negative statements in the stem

 Which procedure is NOT recommended for the victim of an 
     accident?

 A.    Do not leave the victim alone.
 B.    Do not move the victim.
 C.
 C     Notify the police.
       N tif th      li
 D.    Do not talk to the victim.

P= {2;3;5;7;11;13;17}
P {2 3 5 7 11 13 17}
Which one of the following sets is NOT a subset of p?

A.
A     {3;7;11}
B.    {0}
C.    {prime numbers smaller than 19}
D.
D     {11;17;5;2}
There should be only one correct or clearly best 
                        answer


In which of the following cases do hail storms cause the most 
     damage?
A. Livestock
B. Windows
C. Crops



  The greatest economic loss caused by hail storms to the
     country as a whole is a result of damage to
  A. livestock.
  B. windows.
  C. crops.
Make sure that options follow grammatically from the 
                             stem



The financial institutions which lends money principally to bona 
The financial institutions which lends money principally to bona
     fide farmers against a first bond is the

A.                        p
     national finances corporation
B.   Land and agricultural bank
C.   Department of Agricultural Credit and Property Ownership
D.   an agricultural managing body
     an agricultural managing body
E.   an agricultural corporation
All options should be of similar length




Reasons for structure failure:

A.
A    Bad design.
     Bad design
B.   Inferior materials.
C.   A mismatch between the power exerted on a particular node 
     and the strength of the applicable composite material 
     and the strength of the applicable composite material
     utilised for the product in question.
D.    Budget constraints.
All options should be homogeneous




The battle of Hastings took place in

A.   Sussex.
B.   1066.
C.   Hastings.
D.   early May.
E.   good weather.
Students should not be able to derive the correct 
         answer from the wording of the question



Name the principle according to which the goal of a better 
   community is pursued by socialising the means of 
   production.
   production

A.    Anarchism
B.
B     Capitalism
C.    Colonialism
D.    Patriotism
E.
E     Socialism
Avoid items where options overlap


The average height of an American male is

A.   less than 5 foot 3 inches.
B.   less than 5 foot 5 inches.
C
C.   more than 5 foot 7 inches.
       o e t a 5 oot       c es
D.   more than 5 foot 9 inches.
Avoid using absolute, frequency and vague terms




Regular testing will help students to study more effectively 
    because it
    because it

A.   encourages everyone to work harder.
B.   makes the student aware of his/her progress.
     makes the student aware of his/her progress.
C.   gives everyone the feeling of success.
D.   prevents any one from neglecting homework.
Avoid using “all of the above” and 
                  “none of the above”




When the temperature drops, tyre pressure tends to:

A.   decrease.
B.   increase.
C.   stay the same.
     stay the same.
D.   none of the above.
Place numerical options in numeric order


What is the optimum monthly transaction balance for a 
    p
    person earning R3000 per month?  The interest rate is 
                  g      p
    18% per annum and the transaction cost is fixed at 
    R10.

                A.
                A    R1000
                      1000
                B.   R289
                C.   R1 500
                D.   R329

                A.   R289
                B.   R329
                C.   R1000
                D.   R1500
The stem of the item must include as much as possible 
                    of the wording

The meaning of the word “coup d’état” may be described 
     as:
A. change resulting from a royal decree.
B. change resulting from an unfair election.
C. change resulting from a mutual agreement.
D. change resulting from a violent state reform.
E.   change resulting from a hierarchical restructuring.

The meaning of the word “coup d’état” may be
   described as change resulting from:
A. a royal decree.
B.
B an unfair election.
         f i l ti
C. a mutual agreement.
D. a violent state reform.
E. a hierarchical restructuring.
Recap


•   Each item should focus on an important concept
•   Each item should assess application of knowledge – not 
    Each item should assess application of knowledge not
    recall of an isolated fact
•   Stem of the item must pose a clear question
•   All distracters should be homogeneous
    All di           h ld b h
•   Avoid technical flaws
Item analysis
                                          y



•   Level of Difficulty


•   Discrimination index


•   Effectivity of distracters
Level of difficulty
                                                y



•   % of candidates who responded correctly

•   Population sensitive
    Population sensitive

•   Number of students who responded correctly x 100
                        Total number of students                      
                        Total number of students
Discrimination lndex
                  Discrimination lndex

•   Ability of item to discriminate between capable and less capable 
    students (+ and ‐)

•   Process:
     – Rank test scores (high to low)
     – Divide into four equal parts
     – Top = bottom (25%)
       Top  bottom (25%)

                    N -N
•   Calculation    D =h l
                     Nh (or l)
                        (
Discrimination lndex




-1                  0     0,2       0,39       +1




     Bad                Fair               Good
     (Reject)           (Improve)          (Keep)
Effectivity of alternatives
                              y



•   All alternatives to attract responses

•   Distracters: Acceptable, but wrong!
    Di t t       A    t bl b t        !

•   Avoid success by elimination
Effectivity of alternatives
                               y



•   Option A = 30%
•   Option B = 27%
•   Option C = 25%
•   Option D = 18%



Difficulty = .27
Discrimination = 0.29
Discrimination = 0 29
Effectivity of alternatives
                               y



•   Option A = 22%
•   Option B = 58%
•   Option C = 19%
•   Option D =  1%



Difficulty = .58
Discrimination = ‐0.13
Discrimination = ‐0 13
Effectivity of alternatives
                             y



•   Option A = 8%
•   Option B = 50%
•   Option C = 30%
•   Option D =  12%



Difficulty = .12
Discrimination = 0.19
Discrimination = 0 19
Item analysis
                           y




Consider all indicators when evaluating an item!
Good practice

•   Keep a notebook and jot down possible items.
•   Collect items from others.
•   To develop challenging items think of the problems first and 
    translate into items, and check.
•   Put the drafts to one side for a few days.
    Put the drafts to one side for a few days.
•   Revise them.
•   Try them on a critical friend.
•   Include problem solving, applied and practical questions.
    I l d       bl       l i       li d d      ti l     ti
•   Group items according to acceptable classification (subject 
    matter or type).
•   Ideally have all items checked by departmental(?) committee.
•   Analyze statistics to improve practice.

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Writing MCQs

  • 1. Writing MCQs Dr El-Marie Mostert el-marie.mostert@up.ac.za
  • 2. Outcomes for this session After this session you should be able to: • discuss the principles of objective assessment • motivate the use of multiple choice questions • identify weaknesses in MCQ practice • write valid MCQ items • know when not to use MCQs • interpret statistical data
  • 3. National Board of Medical Examiners (USA) ( ) • http://www.nbme.org/
  • 4. General guidelines g Keep the following in mind: • Subject • Learning outcomes Learning outcomes • Target group • Item writing techniques
  • 5. Types of items yp • Choice items Choice items – Multiple choice items – Multiple response items – Matching and extended matching items Matching and extended matching items – True and false items – Hot spot items • Supply items – Filling in missing words/phrases/numbers
  • 6. Terminology gy • Stem – Question – Problem – Statement • Options Opt o s – Distracter (wrong answers) – Key (correct answer)
  • 7. The item must measure one important goal Pretoria: A. has the largest residential university in South Africa. B. was named after Hendrik Potgieter. C. is the oldest village in Gauteng. D. has a larger population than Durban. What is the executive capital of South Africa? A. Cape Town B. Durban C. Bloemfontein D. Pretoria
  • 8. Avoid negative statements in the stem Which procedure is NOT recommended for the victim of an  accident? A. Do not leave the victim alone. B. Do not move the victim. C. C Notify the police. N tif th li D. Do not talk to the victim. P= {2;3;5;7;11;13;17} P {2 3 5 7 11 13 17} Which one of the following sets is NOT a subset of p? A. A {3;7;11} B. {0} C. {prime numbers smaller than 19} D. D {11;17;5;2}
  • 9. There should be only one correct or clearly best  answer In which of the following cases do hail storms cause the most  damage? A. Livestock B. Windows C. Crops The greatest economic loss caused by hail storms to the country as a whole is a result of damage to A. livestock. B. windows. C. crops.
  • 10. Make sure that options follow grammatically from the  stem The financial institutions which lends money principally to bona  The financial institutions which lends money principally to bona fide farmers against a first bond is the A. p national finances corporation B. Land and agricultural bank C. Department of Agricultural Credit and Property Ownership D. an agricultural managing body an agricultural managing body E. an agricultural corporation
  • 11. All options should be of similar length Reasons for structure failure: A. A Bad design. Bad design B. Inferior materials. C. A mismatch between the power exerted on a particular node  and the strength of the applicable composite material  and the strength of the applicable composite material utilised for the product in question. D. Budget constraints.
  • 12. All options should be homogeneous The battle of Hastings took place in A. Sussex. B. 1066. C. Hastings. D. early May. E. good weather.
  • 13. Students should not be able to derive the correct  answer from the wording of the question Name the principle according to which the goal of a better  community is pursued by socialising the means of  production. production A. Anarchism B. B Capitalism C. Colonialism D. Patriotism E. E Socialism
  • 14. Avoid items where options overlap The average height of an American male is A. less than 5 foot 3 inches. B. less than 5 foot 5 inches. C C. more than 5 foot 7 inches. o e t a 5 oot c es D. more than 5 foot 9 inches.
  • 15. Avoid using absolute, frequency and vague terms Regular testing will help students to study more effectively  because it because it A. encourages everyone to work harder. B. makes the student aware of his/her progress. makes the student aware of his/her progress. C. gives everyone the feeling of success. D. prevents any one from neglecting homework.
  • 16. Avoid using “all of the above” and  “none of the above” When the temperature drops, tyre pressure tends to: A. decrease. B. increase. C. stay the same. stay the same. D. none of the above.
  • 17. Place numerical options in numeric order What is the optimum monthly transaction balance for a  p person earning R3000 per month?  The interest rate is  g p 18% per annum and the transaction cost is fixed at  R10. A. A R1000 1000 B. R289 C. R1 500 D. R329 A. R289 B. R329 C. R1000 D. R1500
  • 18. The stem of the item must include as much as possible  of the wording The meaning of the word “coup d’état” may be described  as: A. change resulting from a royal decree. B. change resulting from an unfair election. C. change resulting from a mutual agreement. D. change resulting from a violent state reform. E. change resulting from a hierarchical restructuring. The meaning of the word “coup d’état” may be described as change resulting from: A. a royal decree. B. B an unfair election. f i l ti C. a mutual agreement. D. a violent state reform. E. a hierarchical restructuring.
  • 19. Recap • Each item should focus on an important concept • Each item should assess application of knowledge – not  Each item should assess application of knowledge not recall of an isolated fact • Stem of the item must pose a clear question • All distracters should be homogeneous All di h ld b h • Avoid technical flaws
  • 20. Item analysis y • Level of Difficulty • Discrimination index • Effectivity of distracters
  • 21. Level of difficulty y • % of candidates who responded correctly • Population sensitive Population sensitive • Number of students who responded correctly x 100 Total number of students                       Total number of students
  • 22. Discrimination lndex Discrimination lndex • Ability of item to discriminate between capable and less capable  students (+ and ‐) • Process: – Rank test scores (high to low) – Divide into four equal parts – Top = bottom (25%) Top  bottom (25%) N -N • Calculation D =h l Nh (or l) (
  • 23. Discrimination lndex -1 0 0,2 0,39 +1 Bad Fair Good (Reject) (Improve) (Keep)
  • 24. Effectivity of alternatives y • All alternatives to attract responses • Distracters: Acceptable, but wrong! Di t t A t bl b t ! • Avoid success by elimination
  • 25. Effectivity of alternatives y • Option A = 30% • Option B = 27% • Option C = 25% • Option D = 18% Difficulty = .27 Discrimination = 0.29 Discrimination = 0 29
  • 26. Effectivity of alternatives y • Option A = 22% • Option B = 58% • Option C = 19% • Option D =  1% Difficulty = .58 Discrimination = ‐0.13 Discrimination = ‐0 13
  • 27. Effectivity of alternatives y • Option A = 8% • Option B = 50% • Option C = 30% • Option D =  12% Difficulty = .12 Discrimination = 0.19 Discrimination = 0 19
  • 28. Item analysis y Consider all indicators when evaluating an item!
  • 29. Good practice • Keep a notebook and jot down possible items. • Collect items from others. • To develop challenging items think of the problems first and  translate into items, and check. • Put the drafts to one side for a few days. Put the drafts to one side for a few days. • Revise them. • Try them on a critical friend. • Include problem solving, applied and practical questions. I l d bl l i li d d ti l ti • Group items according to acceptable classification (subject  matter or type). • Ideally have all items checked by departmental(?) committee. • Analyze statistics to improve practice.