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- Normal_curve_equivalent abstract "In educational statistics, a normal curve equivalent (NCE), developed for the United States Department of Education by the RMC Research Corporation, is a way of standardizing scores received on a test into a 0-100 scale similar to a percentile-rank, but preserving the valuable equal-interval properties of a z-score. It is defined as: 50 + 49/qnorm(.99) × zor, approximately 50 + 21.063 × z,where z is the standard score or "z-score", i.e. z is how many standard deviations above the mean the raw score is (z is negative if the raw score is below the mean). The reason for the choice of the number 21.06 is to bring about the following result: If the scores are normally distributed (i.e. they follow the "bell-shaped curve") then the normal equivalent score is 99 if the percentile rank of the raw score is 99; the normal equivalent score is 50 if the percentile rank of the raw score is 50; the normal equivalent score is 1 if the percentile rank of the raw score is 1.This relationship between normal equivalent scores and percentile ranks does not hold at values other than 1, 50, and 99. It also fails to hold in general if scores are not normally distributed.The number 21.06 was chosen because It is desired that a score of 99 correspond to the 99th percentile; The 99th percentile in a normal distribution is 2.3263 standard deviations above the mean; 99 is 49 more than 50—thus 49 points above the mean; 49/2.3263 = 21.06.Normal curve equivalents are on an equal-interval scale (see [1] and [2] for examples). This is advantageous compared to percentile rank scales, which suffer from the problem that the difference between any two scores is not the same as that between any other two scores (see below or percentile rank for more information). The major advantage of NCEs over percentile ranks is that NCEs can be legitimately averaged.".
- Normal_curve_equivalent wikiPageExternalLink explainit.html.
- Normal_curve_equivalent wikiPageExternalLink prank.htm.
- Normal_curve_equivalent wikiPageExternalLink bellcurve.gif.
- Normal_curve_equivalent wikiPageExternalLink normwertrechner_en.html.
- Normal_curve_equivalent wikiPageExternalLink ncurve2.gif.
- Normal_curve_equivalent wikiPageID "6203937".
- Normal_curve_equivalent wikiPageRevisionID "569569680".
- Normal_curve_equivalent hasPhotoCollection Normal_curve_equivalent.
- Normal_curve_equivalent subject Category:Psychometrics.
- Normal_curve_equivalent subject Category:Statistics_of_education.
- Normal_curve_equivalent comment "In educational statistics, a normal curve equivalent (NCE), developed for the United States Department of Education by the RMC Research Corporation, is a way of standardizing scores received on a test into a 0-100 scale similar to a percentile-rank, but preserving the valuable equal-interval properties of a z-score. It is defined as: 50 + 49/qnorm(.99) × zor, approximately 50 + 21.063 × z,where z is the standard score or "z-score", i.e.".
- Normal_curve_equivalent label "Normal curve equivalent".
- Normal_curve_equivalent sameAs m.0fwmw0.
- Normal_curve_equivalent sameAs Q17072029.
- Normal_curve_equivalent sameAs Q17072029.
- Normal_curve_equivalent wasDerivedFrom Normal_curve_equivalent?oldid=569569680.
- Normal_curve_equivalent isPrimaryTopicOf Normal_curve_equivalent.
