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Table 4 The statistical analysis is shown based on the question type of the variables of corrected difficulty by chance (IDiffCor), question discrimination according to the biserial correlation coefficient (rpbis), item response theory, and finally the number of characters in the statement, responses, and overall question characters. It can be observed that clinical cases associated with images and negative questions exhibit high difficulty and poorer discrimination compared to other questions. Regarding characters, questions with longer statements and shorter answers demonstrate better discrimination. Typical clinical cases and questions that exhibit better discrimination fulfill these criteria for character distribution

From: Improving the ability to discriminate medical multiple-choice questions through the analysis of the competitive examination to assign residency positions in Spain

Corrected difficulty index: Kruskal-Wallis Test H = 22.69 DF = 3 P < 0.001.

Question Type

N

Median

Ave Rank

Z

Clinical Case

1326

0.6377

1523.8

4.65

CC with Image

393

0.5754

1392.3

-1.36

Negative

445

0.5465

1343.9

-2.79

Test

726

0.5800

1393.5

-1.94

Overall

2890

 

1445.5

 

The point biserial correlation coefficient: Kruskal-Wallis Test on rpbis H = 52.22 DF = 3 P < 0.001.

Question Type

N

Median

Ave Rank

Z

Clinical Case

1326

0.3225

1529.9

5.01

CC with Image

393

0.2689

1188.3

-6.57

Negative

445

0.2951

1402.8

-1.17

Test

726

0.3127

1456.7

0.42

Overall

2890

 

1445.5

 

Discrimination measured by the two-parameter item response theory model: H = 44.13 DF = 3 P < 0.001

Question Type

N

Median

Ave Rank

Z

Clinical Case

1326

0.7520

1517.1

4.25

CC with Image

393

0.6033

1210.5

-6.01

Negative

445

0.6712

1387.9

-1.58

Test

726

0.7422

1477.2

1.18

Overall

2890

 

1445.5

 

Variable characters stem: Kruskal-Wallis Test H = 1634.79 DF = 3 P < 0.001

Question Type

N

Median

Ave Rank

Z

Clinical Case

1326

390.0

2044.2

35.52

CC with Image

393

309.0

1641.4

5.01

Negative

445

104.0

715.2

-20.07

Test

726

106.0

693.6

−28.06

Overall

2890

 

1445.5

 

Variable characters answers: H = 20.24 DF = 3 P < 0.001.

Question Type

N

Median

Ave Rank

Z

Clinical Case

1326

171.0

1419.1

-1.57

CC with Image

393

156.0

1315.0

-3.34

Negative

445

216.0

1531.9

2.37

Test

726

208.0

1511.4

2.46

Overall

2890

 

1445.5

 

Variable total characters: H = 742.74 DF = 3 P < 0.001

Question Type

N

Median

Ave Rank

Z

Clinical Case

1326

613.5

1858.4

24.49

CC with Image

393

510.0

1529.4

2.15

Negative

445

347.0

979.6

-12.81

Test

726

341.0

931.6

-19.18

Overall

2890

 

1445.5