Scoring

Explanation of SCS

  • [SC] - Scoring Factors (16 in each chapter)
  • [SCS] - Scoring Factor Sets (we have the 16 Sets) explained in 50_evaluation

scoring of scoring factor Set (SFS)

e.g. each chapter will have 16 binary SF so for the 11th SFS will be:

1010 1010 1010 1010
A    A    A    A

[AAAA]A

Note that the first SFS is "0" and the 16th is "F"

it decodes to:

score of question 0:   1
score of question 1:   0
score of question 2:   1
score of question 3:   0
score of question 4:   1
score of question 5:   0
score of question 6:   1
score of question 7:   0
score of question 8:   1
score of question 9:   0
score of question A:   1
score of question B:   0
score of question C:   1
score of question D:   0
score of question E:   1
score of question F:   0

so we can note for the reply of the 10th SFS question A as if: (1)AA

so we can note for the reply of the 10th SFS question F as if: (0)AF

scoring of MULTIPLE Scoring Factor Set

in short: scores for SFS 1 to 8

[0123:4567:89AB:CDEF:FEDC:BA98:7654:3210]1..8 is equivalent to this: https://www.rapidtables.com/convert/number/hex-to-binary.html (opens in a new tab)

Convert each hex digit to 4 binary digits (see conversion table below):

0123456789ABCDEFFEDCBA9876543210
= 0     1    2    3    4    5    6    7    8    9    A    B    C    D    E    F    F    E    D    C    B    A    9    8    7    6    5    4    3    2    1    0
= 0000  0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111 1111 1110 1101 1100 1011 1010 1001 1000 0111 0110 0101 0100 0011 0010 0001 0000
 0000 0001 0010 0011  scores of SFS 1
 0100 0101 0110 0111  scores of SFS 2
 1000 1001 1010 1011  scores of SFS 3
 1100 1101 1110 1111  scores of SFS 4
 1111 1110 1101 1100  scores of SFS 5
 1011 1010 1001 1000  scores of SFS 6
 0111 0110 0101 0100  scores of SFS 7
 0011 0010 0001 0000  scores of SFS 8

so (0)7F we know the score of binary question F in SFS 7 is not meet = 0.

scoring Complete

a complete score for 16 x 16 questions will look like this

{0123:4567:89AB:CDEF:FEDC:BA98:7654:3210:0123:4567:89AB:CDEF:FEDC:BA98:7654:3210}

for the special cases we have 0000 SFS this could me shortened to this:

    {0123:4567:89AB:0000:FEDC:BA98:0000:3210:0123:0000:0000:0000:0000:0000:0000:3210}
=   {0123:4567:89AB::FEDC:BA98:0000:3210:0123:::::::3210}

Discussion if we want this more or less e.g.

    {0123:4567:89AB:0000:FEDC:BA98:0000:3210:0123:0000:0000:0000:0000:0000:0000:3210}
=   {0123:4567:89AB::FEDC:BA98:0000:3210:0123:::::::3210}
=   {0123:4567:89AB:4:FEDC:BA98:0000:3210:0123:A:B:C:D:E:F:3210} NO NUMBERS IN First and Last

e.g.
{0000:4567:89AB:0000:FEDC:BA98:0000:3210:0123:0000:0000:0000:0000:0000:0000:0000}
=   {0000:4567:89AB::FEDC:BA98:0000:3210:0123:::::::0000}
=   {:4567:89AB:4:FEDC:BA98:0000:3210:0123:A:B:C:D:E:F:} NO NUMBERS IN First and Last