PMID- 37929259 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20231107 IS - 1552-3888 (Electronic) IS - 0013-1644 (Print) IS - 0013-1644 (Linking) VI - 81 IP - 2 DP - 2021 Apr TI - Improvement of Norm Score Quality via Regression-Based Continuous Norming. PG - 229-261 LID - 10.1177/0013164420928457 [doi] AB - The interpretation of psychometric test results is usually based on norm scores. We compared semiparametric continuous norming (SPCN) with conventional norming methods by simulating results for test scales with different item numbers and difficulties via an item response theory approach. Subsequently, we modeled the norm scores based on random samples with varying sizes either with a conventional ranking procedure or SPCN. The norms were then cross-validated by using an entirely representative sample of N = 840,000 for which different measures of norming error were computed. This process was repeated 90,000 times. Both approaches benefitted from an increase in sample size, with SPCN reaching optimal results with much smaller samples. Conventional norming performed worse on data fit, age-related errors, and number of missings in the norm tables. The data fit in conventional norming of fixed subsample sizes varied with the granularity of the age brackets, calling into question general recommendations for sample sizes in test norming. We recommend that test norms should be based on statistical models of the raw score distributions instead of simply compiling norm tables via conventional ranking procedures. CI - (c) The Author(s) 2020. FAU - Lenhard, Wolfgang AU - Lenhard W AUID- ORCID: 0000-0002-8184-6889 AD - University of Wuerzburg, Wuerzburg, Germany. FAU - Lenhard, Alexandra AU - Lenhard A AD - Psychometrica, Dettelbach, Germany. LA - eng PT - Journal Article DEP - 20200616 PL - United States TA - Educ Psychol Meas JT - Educational and psychological measurement JID - 0372767 PMC - PMC10621686 OTO - NOTNLM OT - continuous norming OT - curve fitting OT - data smoothing OT - inferential norming OT - percentile estimation OT - regression-based norming COIS- The authors declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article EDAT- 2021/04/01 00:00 MHDA- 2021/04/01 00:01 PMCR- 2022/04/01 CRDT- 2023/11/06 04:50 PHST- 2021/04/01 00:01 [medline] PHST- 2021/04/01 00:00 [pubmed] PHST- 2023/11/06 04:50 [entrez] PHST- 2022/04/01 00:00 [pmc-release] AID - 10.1177_0013164420928457 [pii] AID - 10.1177/0013164420928457 [doi] PST - ppublish SO - Educ Psychol Meas. 2021 Apr;81(2):229-261. doi: 10.1177/0013164420928457. Epub 2020 Jun 16.