Norms represent the performance of the standardization sample. They give meaning to raw scores obtained by an examinee in a test. Without norms, test scores are meaningless.
Dual Purposes of Norms
1. Norms indicate the examinee's relative standing in the normative sample and thus permit an evaluation of his or her performance in reference to other persons.
2. Norms provide comparable measure that permits a direct comparison of the examinee's performance in the different tests or subtests.
Relativity of Norms
Any norm is restricted to the particular normative population from which it was derived.
Norms are constructed based on the test performance of the sample group taken to represent the population. The examinees who are actually tested comprise the normative sample.
The relativity of norms requires a need for defining the specific population to which the norms apply.
National, Regional, and local norms are constructed to be used in the interpretation of test scores. The norm to be used depends on the purpose of testing.
Specific norms are constructed based on narrowly defined populations chosen to suit the specific purposes of the test.
Statistical Concepts
1. Frequency Distribution
2. Measures of Central Tendency
3. Measures of Variability
4. Measures of Position
5. Standard Scores
Raw Score
Actual score obtained by an examinee in a test
Derived Score
Ascertains the exact position of the individual's performance with reference to the standardization sample
Derived Scores Are Expressed in Two Ways
Developmental level attained
Relative position within a specified group
Developmental Norms
Indicate how far along the normal development path an individual has progressed
Types of Developmental Norms
Mental Age (MA) - age level at which an individual performs in an intelligence test
Grade Equivalent Norms - Used for educational achievement tests and for placement and acceleration
Ordinal Scales - designed to identify the stage reached by an individual in the development of a specific behavior function
With-In Group Norms
Examinee's performance is evaluated in terms of the performance of the most nearly comparable standardization sample
Percentile
Percentile scores are expressed in terms of the percentage of persons in the standardization sample who fall below a given raw score.
Advantage: Easy to compute and universally applicable
Disadvantages: There is marked inequality of units at the extreme ends of the distribution, Performance in the different subtests cannot be averaged to determine general score or performance
the distance of the examinee's score from the mean in terms of the standard deviation of the distribution of scores
a 9-point scale with the mean of 5 and a standard deviation of 2
10-point scale with the of 5.5 and a standard deviation of 2