E-ISSN : 2733-4538
Norms of not normally distributed psychological tests could be better estimated by quantiles instead of means and standard deviations. Psychological test norms can also be estimated using statistical models when the measured attribute has a functional relation with related covariates. The current study introduced a normative-quantile-estimation procedure using the quantile regression model when a test score is not expected to have normal distribution but assumed to have a functional relation with related covariates. The idea of the quantile regression model was briefly explained and its application to estimation of a test norm was illustrated. The 5th, 10th, and 25th percentiles of the calculation ability test scores with range of 0-12 were regressed on age and education by the quantile regression model using a normative sample of 1060 normal elderly. The estimated quantiles provided a norm that supports a theoretical model of the relations between calculation ability and the covariates of age and education.
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