Validation of the French Version of Conners’ Parent Rating Scale–Revised, Short Version (CPRS-R:S): Scale Measurement Invariance by Sex and Age

Objective: ADHD is one of the most frequent neurodevelopmental disorders. In addition to clinical assessment, its diagnosis requires the use of validated and reliable behavior questionnaires such as the Conners’ Parent Rating Scale–Revised: Short Form (CPRS-R:S). Though various French versions of the CPRS-R:S have been already put to use in clinical practice and research, only a few have undergone a stringent validation process. After a previous validation of the factorial structure of Lausanne French version, we sought here for the analysis of its invariance across sex and age. Method: This validation step was carried out in a rather homogeneous French population of 365 boys and 374 girls from a single school. Two-age classes were considered: children (boys and girls) aged 9 to 11 years ( n = 258) and adolescents aged 12 to 15 years ( n = 481). Results: Regarding age, dimension Oppositional showed a strong invariance whereas dimensions Hyperactivity and Cognitive problems/Inattention showed a partially strong invariance. Regarding sex, dimensions Oppositional and Hyperactivity showed a partially strong invariance whereas dimension Cognitive problems/Inattention showed a partially weak invariance. The distribution of the CPRS-R:S scores is given by sex and age class. Conclusion: The Lausanne French version of the CPRS-R:S, already validated regarding its factorial structure, internal consistency, and reliability, is here validated regarding its invariance across sex and age. Caution should be taken in using dimension Cognitive problems/Inattention in comparisons between boys and girls.

Examination of Construct Bias in the Narcissistic Personality Questionnaire for Children–Revised Across Culture and Gender

Construct bias was examined among 316 Singapore and U.S. adolescents on the Narcissistic Personality Questionnaire for Children–Revised (NPQC-R). The NPQC-R consists of two (Superiority and Exploitativeness) factors. Results from multigroup confirmatory factor analyses indicated partial strong invariance on the NPQC-R across culture and strong invariance across gender. These results do not provide support for the presence of construct bias in the NPQC-R across culture and gender in our sample of Singapore and U.S. adolescents, ages 12 to 14. Furthermore, examination of latent means indicated that U.S. students reported higher levels of Superiority compared with Singapore students, but no significant difference was found in the levels of Exploitativeness between Singapore and U.S. students. In addition, males and females had similar levels of Superiority and Exploitativeness. Implications of the findings of the study are discussed.

Rates in the strong invariance principle for ergodic automorphisms of the torus

Let T be an ergodic automorphism of the d-dimensional torus 𝕋d. In the spirit of Le Borgne, we give conditions on the Fourier coefficients of a function f from 𝕋d to ℝ under which the partial sums f ◦ T + f ◦ T2 + ⋯ + f ◦ Tn satisfy a strong invariance principle. Next, reinforcing the condition on the Fourier coefficients in a natural way, we obtain explicit rates of convergence in the strong invariance principle, up to n1/4 log n.