Measurement invariance assesses the psychometric equivalence of a construct across groups or across time. Measurement noninvariance suggests that a construct has a different structure or meaning to different groups or on different measurement occasions in the same group, and so the construct cannot be meaningfully tested or construed across groups or across time. Hence, prior to testing mean differences across groups or measurement occasions (e.g., boys and girls, pretest and posttest), or differential relations of the construct across groups, it is essential to assess the invariance of the construct. Conventions and reporting on measurement invariance are still in flux, and researchers are often left with limited understanding and inconsistent advice. Measurement invariance is tested and established in different steps. This report surveys the state of measurement invariance testing and reporting, and details the results of a literature review of studies that tested invariance. Most tests of measurement invariance include configural, metric, and scalar steps; a residual invariance step is reported for fewer tests. Alternative fit indices (AFIs) are reported as model fit criteria for the vast majority of tests; χ2 is reported as the single index in a minority of invariance tests. Reporting AFIs is associated with higher levels of achieved invariance. Partial invariance is reported for about one-third of tests. In general, sample size, number of groups compared, and model size are unrelated to the level of invariance achieved. Implications for the future of measurement invariance testing, reporting, and best practices are discussed.

This prospective longitudinal study examined the contribution of dimensions of maternal responsiveness (descriptions, play, imitations) to the timing of five milestones in children's (N = 40) early expressive language: first imitations, first words, 50 words in expressive language, combinatorial speech, and the use of language to talk about the past. Events-History Analysis, a statistical technique that estimates the extent to which predictors influence the timing of events, was used. At 9 and 13 months, maternal responsiveness and children's activities (e.g., vocalizations, play) were coded from videotaped interactions of mother-child free play; information about children's language acquisition was obtained through biweekly interviews with mothers from 9 through 21 months. Maternal responsiveness at both ages predicted the timing of children's achieving language milestones over and above children's observed behaviors. Responsiveness at 13 months was a stronger predictor of the timing of language milestones than was responsiveness at 9 months, and certain dimensions of responsiveness were more predictive than others. The multidimensional nature of maternal responsiveness and specificity in mother-child language relations are discussed.

Current findings on parental influences provide more sophisticated and less deterministic explanations than did earlier theory and research on parenting. Contemporary research approaches include (a) behavior-genetic designs, augmented with direct measures of potential environmental influences; (b) studies distinguishing among children with different genetically influenced predispositions in terms of their responses to different environmental conditions; (c) experimental and quasi-experimental studies of change in children's behavior as a result of their exposure to parents' behavior, after controlling for children's initial characteristics; and (d) research on interactions between parenting and nonfamilial environmental influences and contexts, illustrating contemporary concern with influences beyond the parent-child dyad. These approaches indicate that parental influences on child development are neither as unambiguous as earlier researchers suggested nor as insubstantial as current critics claim.

This study used a 3-wave longitudinal design to investigate developmental cascades among social competence and externalizing and internalizing behavioral adjustment in a normative sample of 117 children seen at 4, 10, and 14 years. Children, mothers, and teachers provided data. A series of nested path analysis models was used to determine the most parsimonious and plausible cascades across the three constructs over and above their covariation at each age and stability across age. Children with lower social competence at age 4 years exhibited more externalizing and internalizing behaviors at age 10 years and more externalizing behaviors at age 14 years. Children with lower social competence at age 4 years also exhibited more internalizing behaviors at age 10 years and more internalizing behaviors at age 14 years. Children who exhibited more internalizing behaviors at age 4 years exhibited more internalizing behaviors at age 10 years and more externalizing behaviors at age 14 years. These cascades among social competence and behavioral adjustment obtained independent of child intelligence and maternal education and social desirability of responding.