@article{LenhardLenhardGary2019,
  author    = {Lenhard, Alexandra and Lenhard, Wolfgang and Gary, Sebastian},
  title     = {Continuous norming of psychometric tests: A simulation study of parametric and semi-parametric approaches},
  series = {PLoS ONE},
  volume    = {14},
  journal   = {PLoS ONE},
  number    = {9},
  doi       = {10.1371/journal.pone.0222279},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-200480},
  pages     = {e0222279},
  year      = {2019},
  abstract  = {Continuous norming methods have seldom been subjected to scientific review. In this simulation study, we compared parametric with semi-parametric continuous norming methods in psychometric tests by constructing a fictitious population model within which a latent ability increases with age across seven age groups. We drew samples of different sizes (n = 50, 75, 100, 150, 250, 500 and 1,000 per age group) and simulated the results of an easy, medium, and difficult test scale based on Item Response Theory (IRT). We subjected the resulting data to different continuous norming methods and compared the data fit under the different test conditions with a representative cross-validation dataset of n = 10,000 per age group. The most significant differences were found in suboptimal (i.e., too easy or too difficult) test scales and in ability levels that were far from the population mean. We discuss the results with regard to the selection of the appropriate modeling techniques in psychometric test construction, the required sample sizes, and the requirement to report appropriate quantitative and qualitative test quality criteria for continuous norming methods in test manuals.},
  language  = {en}
}
@article{KarulinCaspellDittrichetal.2015,
  author    = {Karulin, Alexey Y. and Caspell, Richard and Dittrich, Marcus and Lehmann, Paul V.},
  title     = {Normal distribution of CD8+ T-cell-derived ELISPOT counts within replicates justifies the reliance on parametric statistics for identifying positive responses},
  series = {Cells},
  volume    = {4},
  journal   = {Cells},
  number    = {1},
  doi       = {10.3390/cells4010096},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-149968},
  pages     = {96-111},
  year      = {2015},
  abstract  = {Accurate assessment of positive ELISPOT responses for low frequencies of antigen-specific T-cells is controversial. In particular, it is still unknown whether ELISPOT counts within replicate wells follow a theoretical distribution function, and thus whether high power parametric statistics can be used to discriminate between positive and negative wells. We studied experimental distributions of spot counts for up to 120 replicate wells of IFN-γ production by CD8+ T-cell responding to EBV LMP2A (426 - 434) peptide in human PBMC. The cells were tested in serial dilutions covering a wide range of average spot counts per condition, from just a few to hundreds of spots per well. Statistical analysis of the data using diagnostic Q-Q plots and the Shapiro-Wilk normality test showed that in the entire dynamic range of ELISPOT spot counts within replicate wells followed a normal distribution. This result implies that the Student t-Test and ANOVA are suited to identify positive responses. We also show experimentally that borderline responses can be reliably detected by involving more replicate wells, plating higher numbers of PBMC, addition of IL-7, or a combination of these. Furthermore, we have experimentally verified that the number of replicates needed for detection of weak responses can be calculated using parametric statistics.},
  language  = {en}
}