N.Y. Comp. Codes R. & Regs. tit. 4, § 67.1
(c) In examinations or tests in which, considering the needs of the service or the difficulty of the examination or test or other substantial factors, an insufficient number of candidates achieve raw scores or weighted or corrected raw scores, as defined under this section, or some combination of such scores equivalent to 70 percent or higher of the maximum possible score, final scores may be determined from raw scores or weighted or corrected raw scores, or some combination of such scores, by an arithmetic adjustment or a series of arithmetic adjustments or by a statistical adjustment, as defined under this section, or by any combination of such adjustments such that more candidates are passed than would pass if final scores at or about 70 approximated percent scores; provided that the relative order of scores is maintained, that the necessary quality of eligibles is not jeopardized, and that the scoring adjustment used is approved by the administrative director, deputy administrative director, assistant administrative director or director of examinations and staffing services.
(2) Additions for omissions may be made to raw scores. For example, one point may be added to raw scores for every five omissions. In this case, for a 100-item test, a candidate who answered 60 questions correctly and 20 questions incorrectly and who omitted answering 20 questions would have a raw score of 60 and a corrected raw score of 64.
These methods may also be applied to part raw scores, the results of which would then be combined with raw scores or weighted or corrected raw scores from the other parts of the test or other tests in the examination.
(g) Weighted raw score.
A weighted raw score is a score that has been derived from a raw score by assigning a weight other than one to one or more of the part raw scores that contribute to the raw score. For example, in a short answer written test, a weight of two may be assigned to each correct answer to a group of questions comprising the most important part of the test and all other correct answers may be assigned a weight of one each. In this case, a candidate correctly answering seven questions with a weight of two each and correctly answering 69 questions with a weight of one each would get a weighted raw score of 83. Such weights may be assigned, on the basis of job analysis or on considerations of reliability and/or validity of tests or parts of tests, uniformly for the total candidate group, or differently for candidate subgroups, if scores of such subgroups are shown to differ substantially in their relation to measures of performance.
(h) Arithmetic adjustments.
(1) An arithmetic adjustment is the adding to or subtracting from raw scores or weighted or corrected raw scores or some combination thereof or some fraction or multiple of such scores a uniform whole number or fraction or combination thereof. For example, final scores may be determined by using an equation such as:
Final score = 3R/2 + 2 1/2
where R is the raw score or the weighted or corrected raw score or some combination of such scores. In this case, a raw score of 60 would become a final score of 92.5. In another case, final scores may be determined by using an equation such as:
Final score = R/2 − 10
In this case a raw score of 180 would become a final score of 80.
(2) A series of arithmetic adjustments consists of the division of the distribution of raw scores or weighted or corrected raw scores or some combination of such scores into two or more mutually exclusive ranges of scores and applying a separate arithmetic adjustment as defined above in each range. For example, a distribution of raw scores from a 120-item test may be split so that all raw scores in the range 85 to 120 are converted to final scores by an equation such as:
Final score = R/2 + 40
and raw scores in the range 1-84 are converted to final scores by an equation such as:
Final score = R − 2
In this case a raw score of 78 would become a final score of 76 and a raw score of 100 would become a final score of 90. This would accomplish a lowering of the passing point below percent standards and at the same time would provide for more than 31 scores between 70 to 100.
(i) Statistical adjustment.
A statistical adjustment is the assignment of final scores according to a predetermined form based on a statistical division of the distribution of raw scores or weighted or corrected raw scores or some combination of such scores. Examples:
(d) Raw score.
A raw score is the number of questions answered correctly in a short answer written test or the combination of examiners' ratings in an oral or performance test or the number of credit points earned or assigned in any other kind of test, or some combination of the foregoing.
(e) Part raw score.
A part raw score is the raw score from a part of a test or the raw score from a test that is part of an examination.
(f) Corrected raw score.
A corrected raw score is a score that has been derived from a raw score from a short answer written test by one of the following methods: