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“Why do we need to
   analyze the items of
        the test?”

Assessment- it is description,
 or explanation of something,
   usually based on careful
consideration or investigation.
“Purpose of
assessing the item”

 To determine
 its difficulty.
How to Analyze
                 the Item?
1. Facility index – the percentage of examinees who
correctly answer an item. The higher the index,
the easier is the item.

       Guide for interpreting   the facility index:
      81-100% correct -          very easy
      61- 80% correct -          easy
      41- 60% correct -          Average facility
      21- 40% correct -          Difficult
       0- 20% correct -          Very difficult
2. Discrimination index – this is a number
         which indicates the ability of an
         item to differentiate between
         high and low scorers on the test

  Guide for interpreting discrimination index:
    Index
    ≤ 0.0 - negatively or not at all
               discriminating
 .01 - .15 - very low discrimination
 .16 - .30 - moderately discrimination
 .31 - .45 - good discrimination
     > .45 - highly discrimination
Sample of Difficulty
                    Index
Item No. 1


Option       Freq.     %      Valid    Cum
                             percent Percent
  *A         341      93.2    93.2    93.2
   B           1        .3      .3    93.5
   C           4       1.1      1.1   94.6
   D          20       5.4     5.4     100
TOTAL        366      100      100
Option Analyses
Item No. 1

Option    Freq.       %        The correct key        (A)was chosen by
                               93.2% of the examinees. This item is
  *A         341     93.2      too easy; perhaps option A is very
  B           1       .3       obviously the correct answer Option B is
                               not performing as an option. It was not
  C           4      1.1
                               plausible enough. C is also a poor option.
  D          20      5.4        (To be considered plausible, an option
TOTAL        366     100       must be chosen by at least 3% of the
                               examinees)
Item No. 2

 Option      Freq.    %        Item 2 suggests a possibly wrong key.
                               Or it could imply misconceptions because
   A          2       .5
                               B is just too attractive an answer. The
   B         340     92.3      key should be reviewed. The item too,
   *C         16      4.8      because it might only have been
                               misunderstood.
   D          8       2.4
TOTAL        366      100
Item Analysis on 30 Item
       N = 780
N= 780
H = 27% OF 780 = 210
B = 27% OF 780 = 210

Formula:
FI = (h + b) X 100%
     (H + B)

DI = (h - b)
       H
Distribution of Numbered Items Accdg. To
                 Facility and Discrimination Indices

 Facility
  Index                                DISCRIMINATION INDEX
   (%)      Neg.-.00     .01 - .15    .16 - .30 .31 - .45 .46 - .60       > .61       Total



81 – 100%
61 – 80 %       4                                 2, 10    6, 13, 24      11, 14       8

41 – 60%        16           5         23, 17      29         1        3, 7, 20, 22    10

21 – 40%                    25          26       15, 27                                4

0 – 20%      9, 12, 17   8, 18, 21,     19                                             8
                             30
  Total         5            6           4         5          4             6          30
            The frequencies inside the green box are
                   those of acceptable items.
T est item analysis

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T est item analysis

  • 1.
  • 2. “Why do we need to analyze the items of the test?” Assessment- it is description, or explanation of something, usually based on careful consideration or investigation.
  • 3. “Purpose of assessing the item” To determine its difficulty.
  • 4. How to Analyze the Item? 1. Facility index – the percentage of examinees who correctly answer an item. The higher the index, the easier is the item. Guide for interpreting the facility index: 81-100% correct - very easy 61- 80% correct - easy 41- 60% correct - Average facility 21- 40% correct - Difficult 0- 20% correct - Very difficult
  • 5. 2. Discrimination index – this is a number which indicates the ability of an item to differentiate between high and low scorers on the test Guide for interpreting discrimination index: Index ≤ 0.0 - negatively or not at all discriminating .01 - .15 - very low discrimination .16 - .30 - moderately discrimination .31 - .45 - good discrimination > .45 - highly discrimination
  • 6. Sample of Difficulty Index Item No. 1 Option Freq. % Valid Cum percent Percent *A 341 93.2 93.2 93.2 B 1 .3 .3 93.5 C 4 1.1 1.1 94.6 D 20 5.4 5.4 100 TOTAL 366 100 100
  • 7. Option Analyses Item No. 1 Option Freq. % The correct key (A)was chosen by 93.2% of the examinees. This item is *A 341 93.2 too easy; perhaps option A is very B 1 .3 obviously the correct answer Option B is not performing as an option. It was not C 4 1.1 plausible enough. C is also a poor option. D 20 5.4 (To be considered plausible, an option TOTAL 366 100 must be chosen by at least 3% of the examinees) Item No. 2 Option Freq. % Item 2 suggests a possibly wrong key. Or it could imply misconceptions because A 2 .5 B is just too attractive an answer. The B 340 92.3 key should be reviewed. The item too, *C 16 4.8 because it might only have been misunderstood. D 8 2.4 TOTAL 366 100
  • 8. Item Analysis on 30 Item N = 780
  • 9. N= 780 H = 27% OF 780 = 210 B = 27% OF 780 = 210 Formula: FI = (h + b) X 100% (H + B) DI = (h - b) H
  • 10. Distribution of Numbered Items Accdg. To Facility and Discrimination Indices Facility Index DISCRIMINATION INDEX (%) Neg.-.00 .01 - .15 .16 - .30 .31 - .45 .46 - .60 > .61 Total 81 – 100% 61 – 80 % 4 2, 10 6, 13, 24 11, 14 8 41 – 60% 16 5 23, 17 29 1 3, 7, 20, 22 10 21 – 40% 25 26 15, 27 4 0 – 20% 9, 12, 17 8, 18, 21, 19 8 30 Total 5 6 4 5 4 6 30 The frequencies inside the green box are those of acceptable items.