Factorial design in the determination of differential limen values

This paper discusses the application of the principles of factorial design to an experiment in psychology. For the purpose of illustrating the principles, a simple experiment was designed dealing with the determination of the differential limen values of subjects for weights increasing at constant rates. The factorial design was of the type: 4 rates × 7 weights × 2 sexes × 2 sights × 2 dates. The appropriate statistical analysis for this type of design is the analysis of variance. The mathematical formulation of the problem was specified and the appropriate solution for the specific problem was obtained. Greater precision results from this type of design, in comparison with the traditional psychological experiment dealing with a single factor, in that measures are obtained of the effect of each of a number of factors together with their interactions.This is one of a number of studies on modern principles of experimental design. For the research grant to finance these studies, grateful acknowledgment is given to the Graduate School, the University of Minnesota.     

Dyadic Coping in the U.S.: Psychometric Properties and Validity for Use of the English Version of the Dyadic Coping Inventory

A majority of individuals living in the U.S. experience unhealthy levels of stress; however, romantic partners can help mitigate stress’ deleterious effects by coping together (dyadic coping). The Dyadic Coping Inventory (DCI) measures coping behaviors when one or both partners experience stress. Specifically, the DCI measures a) partner’s self-report of his/her own (Self) and their partner’s (Partner) behavior, and b) Common DC during the experience of a common stressor. Despite its wide use, the DCI has not yet been validated for use in the United States (U.S.). The aim of this study was to address this gap in the literature. Using a sample of 938 individuals in the U.S. currently involved in a romantic relationship, we validated the English version of the DCI by analyzing its factorial structure and psychometric properties. Results supported the theoretically assumed factorial structure of the DCI. Convergent and discriminant validity, as well as measurement invariance across gender and culture using the original Swiss sample, was confirmed. The English version of the DCI is a valid self-report instrument for assessing couples' coping in the U.S.     

Effects of Cognitive Feedback Components,Display Format,and Elaboration on Performance

Balzer, Sulsky, Hammer, and Sumner (1992) demonstrated that task information, rather than cognitive information or functional validity information, is the necessary component of cognitive feedback (CFB). We designed a laboratory experiment to replicate the effects of (CFB) components while jointly investigating the impact of CFB display format and CFB elaboration on performance. Undergraduates (N = 323) were each randomly assigned to a single experimental condition in a 4 × 2 × 2 factorial design which manipulated the CFB components (TI, CI, TI + CI, or TI + CI + FVI), CFB display format (alphanumeric or graphic), and CFB elaboration (typical or augmented). The experimental task, procedures, and dependent measures were identical to Balzer et al. (1992). A main effect of CFB components was found, with results replicating the Balzer et al. findings that task information was necessary for improved performance. The main effects of CFB display format and CFB elaboration, as well as their interactions with each other and the CFB components, had little impact on judgment performance or reactions to feedback. Practical implications of the findings are discussed.     

Statistical power in complex experimental designs

We show that power and sample size tables developed by Cohen (1988, pp. 289–354, 381–389) produce incorrect estimates for factorial designs: power is underestimated, and sample size is overestimated. The source of this bias is shrinkage in the implied value of the noncentrality parameter, λ, caused by using Cohen’s adjustment ton for factorial designs (pp. 365 and 396). The adjustment was intended to compensate for differences in the actual versus presumed (by the tables) error degrees of freedom; however, more accurate estimates are obtained if the tables are used without adjustment. The problems with Cohen’s procedure were discovered while testing subroutines in DATASIM 1.2 for computing power and sample size in completely randomized, randomized-blocks, and split-plot factorial designs. The subroutines give the user the ability to generate power and sample size tables that are as easy to use as Cohen’s, but that eliminate the conservative bias of his tables. We also implemented several improvements relative to “manual” use of Cohen’s tables: (1) Since the user can control the specific values of 1- β,n, andf used on the rows and columns of the table, interpolation is never required; (2) exact as opposed to approximate solutions for the noncentralF distribution are employed; (3) solutions for factorial designs, including those with repeated measures factors, take into account the actual error degrees of freedom for the effect being tested; and (4) provision is made for the computation of power for applications involving the doubly noncentralF distribution.     

The number of two-way tables satisfying certain additivity axioms

An expression is given for the number of ways of ranking the cells of an r by c factorial design so as to satisfy independence. For selected values of r and c, estimates are given of the number of rankings that satisfy both independence and double cancellation, and also of the number of rankings allowing an additive representation. These results may be used in at least two ways: first, in evaluating the probability of the satisfaction of certain measurement axioms by chance; and second, in placing a lower bound on the amount of information necessary to establish the ordering of the cells of a factorial design when it is known that these axioms are satisfied.     

Protective effect of aerobic fitness on the detrimental influence of exhaustive exercise on information processing capacity

Although aerobic fitness has been thought to protect against the detrimental cognitive effects following exhaustive exercise, available evidence from studies using traditional mean behavioral measures remain somewhat equivocal.PurposeThis study aimed to reconcile this discrepancy by using a novel theory-driven diagnostic tool, the Systems Factorial Technology (SFT).MethodsSixty-six healthy young adults aged from 18 to 30 years old with different levels of aerobic fitness (n = 33 for the higher-fit and lower-fit groups) completed a go/nogo version of redundant-target task before and after a graded exercise test (GXT) until exhaustion. SFT was used to calculate the resilience capacity, which reflects the information processing capacity underlying inhibitory control.ResultsFollowing the GXT, both higher-fit and lower-fit groups showed faster responses while leaving accuracy unchanged as compared to the performance at the pretest. On the other hand, the resilience capacity decreased for the lower-fit group but was maintained for the higher-fit group.ConclusionThe present findings suggest that aerobic fitness may modulate the individual difference in decisional mechanism following exhaustive exercise. In sum, this study offers an alternative mechanistic explanation regarding cognitive individual differences in response to exhaustive exercise and provides novel insights into the significance of maintaining a state of high physical fitness for those who need to perform cognitively challenging tasks under physically stressful conditions (e.g., elite athletes).     

Examining the Merit of Grit in Women's Soccer: Questions of Theory,Measurement, and Application

The purpose of the current study was to examine the factorial validity of existing grit measures and to examine differences in the grit level of athletes across performance tiers (i.e., collegiate, professional, Olympic). Female soccer players (N = 305) of varying competitive levels completed measures of grit. Results revealed preliminary support for the 8-item Grit Scale factorial validity, as well as a significant age-adjusted difference in grit level between Division I and Division II collegiate athletes. Taken together, study results prompt questions regarding the theoretical underpinnings, and consequent measurement, of the grit construct in sport psychology practice.     

Undecidability of the Problem of Recognizing Axiomatizations of Superintuitionistic Propositional Calculi

We give a new proof of the following result (originally due to Linial and Post): it is undecidable whether a given calculus, that is a finite set of propositional formulas together with the rules of modus ponens and substitution, axiomatizes the classical logic. Moreover, we prove the same for every superintuitionistic calculus. As a corollary, it is undecidable whether a given calculus is consistent, whether it is superintuitionistic, whether two given calculi have the same theorems, whether a given formula is derivable in a given calculus. The proof is by reduction from the undecidable halting problem for the so-called tag systems introduced by Post. We also give a historical survey of related results.     

Information-processing architectures in multidimensional classification: a validation test of the systems factorial technology

A growing methodology, known as the systems factorial technology (SFT), is being developed to diagnose the types of information-processing architectures (serial, parallel, or coactive) and stopping rules (exhaustive or self-terminating) that operate in tasks of multidimensional perception. Whereas most previous applications of SFT have been in domains of simple detection and visual-memory search, this research extends the applications to foundational issues in multidimensional classification. Experiments are conducted in which subjects are required to classify objects into a conjunctive-rule category structure. In one case the stimuli vary along highly separable dimensions, whereas in another case they vary along integral dimensions. For the separable-dimension stimuli, the SFT methodology revealed a serial or parallel architecture with an exhaustive stopping rule. By contrast, for the integral-dimension stimuli, the SFT methodology provided clear evidence of coactivation. The research provides a validation of the SFT in the domain of classification and adds to the list of converging operations for distinguishing between separable-dimension and integral-dimension interactions.     

Locus of control,choice, and satisfaction with an assigned task

P. E. Spector's (1982, Psychological Bulletin, 91, 482–497) hypothesis that under conditions of freedom of choice persons characterized by an internal locus of control will experience greater satisfaction with an undesirable task than persons characterized by an external locus of control is considered in light of distinctions between perceived control and perceived choice. Perceived choice is proposed as an intervening variable implicit in Spector's argument. This reasoning was tested with 46 male and female college student participants in a 2 (Choice) × 2 (Locus of Control) factorial design experiment. An interaction of Choice × Locus of Control on task satisfaction was obtained such that internals tended to be more satisfied when given a choice while externals experienced greater satisfaction when not given a choice. The implications of this result for Spector' hypothesis and for the manner in which undesirable work is assigned are discussed.     

Construct validity of the Profile of Mood States — Adolescents for use with adults

Objectives: To extend the validation of the Profile of Mood States-Adolescents (POMS-A: J. Sports Sci. 17 (1999) 861–872) from adolescent to adult populations.Design: A strategy of assessing the invariance of the POMS-A factor structure among disparate samples and of testing relationships with concurrent measures was used.Methods: The POMS-A was administered to 2549 participants from four samples: adult athletes prior to competition (n=621), adult student athletes in a classroom (n=656), adolescent athletes prior to competition (n=676), and adolescent students in a classroom (n=596). A subset of 382 adult student athletes was used to test the criterion validity of the POMS-A.Results: Confirmatory factor analysis provided support for the factorial validity of a 24-item, six-factor model using both independent and multi-sample analyses. Relationships between POMS-A scores and previously validated measures, that were consistent with theoretical predictions, supported criterion validity.Conclusion: Evidence was found in support of the psychometric integrity of the POMS-A when extended from adolescent to adult populations.     

Studying visual search using systems factorial methodology with target—distractor similarity as the factor

Systems factorial technology (SFT) is a theory-driven set of methodologies oriented toward identification of basic mechanisms, such as parallel versus serial processing, of perception and cognition. Studies employing SFT in visual search with small display sizes have repeatedly shown decisive evidence for parallel processing. The first strong evidence for serial processing was recently found in short-term memory search, using target-distractor (T-D) similarity as a key experimental variable (Townsend & Fifi?, 2004). One of the major goals of the present study was to employ T-D similarity in visual search to learn whether this mode of manipulating processing speed would affect the parallel versus serial issue in that domain. The result was a surprising and regular departure from ordinary parallel or serial processing. The most plausible account at present relies on the notion of positively interacting parallel channels.     

Systems factorial technology provides novel insights into the cognitive processing characteristics of open-skill athletes

Sport expertise has been shown to modulate the cognitive advantage in open-skill athletes, with evidence for a greater advantage for athletes practicing interceptive sports relative to strategic sports. However, this conclusion is solely based on central tendency measures such as accuracy or mean reaction time (RT), dismissing important information embedded in the intra-individual temporal dynamics of cognitive performance. This study aimed to better understand the cognitive advantage associated with open-skill sports, with a non-parametric approach assessing cognitive process at the level of RT distribution (i.e., systems factorial technology, SFT). Twenty-eight interceptive sport athletes, 27 strategic sport athletes, and 26 physically active non-athletes performed a go/nogo version of the redundant target task to assess their processing capacity of simultaneously monitoring multiple information channels. SFT was applied to assess resilience capacity, an estimate of workload capacity underlying inhibitory control. Our findings showed that interceptive sport athletes exhibited shorter mean RT relative to non-athletes selectively in the task condition involving distracting information, while strategic sport athletes showed greater resilience capacity over earlier responses relative to the other groups. These findings suggest that the two types of open-skill sports may be associated with different processing specificity, possibly reflecting the domain-specific rules and requirements.     

Processing time predictions of current models of perception in the classic additive factors paradigm

This article explores the consequences for factorial additivity in a Sternberg [(1969). The discovery of processing stages: Extensions of donders method In: W.G. Koster (Ed.), Attention and performance II, Acta Psychologica, 30, 276-315] additive-factors paradigm of the assumptions adopted by models of perception that relate the representation of a stimulus to decision time. Three example models, signal detection theory with the latency-distance hypothesis, stochastic general recognition theory, and a random walk model of exemplar classification, are interrogated to determine what type of interaction they predict factors will yield in a hypothetical factorial (choice) reaction time experiment in which the ‘empirical’ factors’ effects are manifest as parameter changes. All frameworks make the critical assumption that decision time depends on the perceptual representation of the stimulus as well as the architecture. As a consequence, nonadditivity of factors thought to affect different “stages” in the classical approach emerges within the current modeling approach. The nature of this influence is revealed through analytic investigations and simulation. Earlier empirical findings of failures of selective influence that have defied adequate explanation are reinterpreted in light of the present findings.     

A special latin square for the use of each subject “as his own control”

When the purpose of the experiment is to compare treatments, the Sequences × Positions Latin Square has been employed to control unwanted effects attributable to individuals, position, and sequence. This particular Latin Square has been subjected to criticism on the grounds there is confounding due to structure, random variables, and subject interactions. Special Latin Square, a subclass of the Sequences × Positions Latin Square, is basically ap ×p factorial design in blocks of sizep. The two factors are treatments (T) and positions (P). Sequence is one component of theTP interaction, and square uniqueness is the sum of the remaining components. This completely replicated factorial design has no structural or random variable confounding; if subject interactions are present, square uniqueness may be used as the error term and the bias in the test of treatments will be conservative.     

Assessment of tripartite efficacy beliefs within school-based physical education: Instrument development and reliability and validity evidence

Objectives

In educational contexts, Lent and Lopez (2002) proposed that students develop a tripartite network of efficacy beliefs, comprising their confidence in their own capabilities (i.e., self-efficacy), their confidence in their teacher’s ability (i.e., other-efficacy), and their estimation of their teacher’s confidence in their ability (i.e., relation-inferred self-efficacy). In spite of the potential for school-based physical education (PE) to stimulate leisure-time activity patterns among adolescents, it is noteworthy that this framework has yet to be explored in school PE contexts.

Design and methods

In Phase 1, we recruited 62 Australian high school students (aged 11-13) in order to develop instruments designed to assess self-efficacy, other-efficacy, and relation-inferred self-efficacy within PE settings. In Phases 2 and 3, we sought to provide evidence for measurement reliability, validity, and invariance with cross-sectional and prospective data derived from Australian (N = 602, M_age = 13.54, SD = .76) as well as Singaporean (N = 606; M_age = 14.10, SD = 1.01) students.

Results

Results revealed (a) support for the factorial validity of these measures in both locations, (b) evidence of gender-related and cross-national measurement invariance, (c) positive inter-relationships between students’ tripartite efficacy perceptions that were consistent with theory, and (d) positive correlations with key in-class (e.g., effort, enjoyment) and leisure-time (e.g., physical activity levels) outcomes.

Conclusions

Taken together, the results provide preliminary evidence for the reliability and validity of measures derived from these tripartite efficacy instruments, and support their use in future research designed to examine PE engagement.     

Age norms for impulsiveness,venturesomeness and empathy in adults

A total of 1320 Ss (559 males and 761 females) completed the I₆ Impulsiveness Questionnaire. Reliabilities, scale intercorrelations, means and standard deviations as well as age means are given after some item changes from the original I₅ Questionnaire. The resulting I₇ Impulsiveness Questionnaire is reproduced in the Appendix, together with the scoring key. A further 589 Ss (383 males and 206 females) completed the new I₇, together with the EPQ and intercorrelations of the seven factors obtained are given (i.e. Psychoticism, Extraversion, Neuroticism, Lie score, impulsiveness Venturesomeness and Empathy). A table of means and standard deviations for this second sample of Ss is also given for the sake of completeness.     

Semantic ambiguity effects on traditional Chinese character naming: A corpus-based approach

Words are considered semantically ambiguous if they have more than one meaning and can be used in multiple contexts. A number of recent studies have provided objective ambiguity measures by using a corpus-based approach and have demonstrated ambiguity advantages in both naming and lexical decision tasks. Although the predictive power of objective ambiguity measures has been examined in several alphabetic language systems, the effects in logographic languages remain unclear. Moreover, most ambiguity measures do not explicitly address how the various contexts associated with a given word relate to each other. To explore these issues, we computed the contextual diversity (Adelman, Brown, & Quesada, Psychological Science, 17; 814–823, 2006) and semantic ambiguity (Hoffman, Lambon Ralph, & Rogers, Behavior Research Methods, 45; 718–730, 2013) of traditional Chinese single-character words based on the Academia Sinica Balanced Corpus, where contextual diversity was used to evaluate the present semantic space. We then derived a novel ambiguity measure, namely semantic variability, by computing the distance properties of the distinct clusters grouped by the contexts that contained a given word. We demonstrated that semantic variability was superior to semantic diversity in accounting for the variance in naming response times, suggesting that considering the substructure of the various contexts associated with a given word can provide a relatively fine scale of ambiguity information for a word. All of the context and ambiguity measures for 2,418 Chinese single-character words are provided as supplementary materials.     

Cognitive Biases In Sales Management Evaluations

Abstract

In a factorial experiment, subjects, most of whom possessed managerial experience, were given information about a salesperson and asked to rate his ability on the job. As predicted, the subjects tended to overutilize effort information and underutilize task difficulty information in making their evaluations. The research reveals that cognitive biases in information processing may influence a crucial sales management responsibility. The results are discussed in terms of their implications for employee promotions and the application of attribution theory to sales personnel evaluations.     

Studying visual search using systems factorial methodology with target-distractor similarity as the factor

Systems factorial technology (SFT) is a theory-driven set of methodologies oriented toward identification of basic mechanisms, such as parallel versus serial processing, of perception and cognition. Studies employing SFT in visual search with small display sizes have repeatedly shown decisive evidence for parallel processing. The first strong evidence for serial processing was recently found in short-term memory search, using target-distractor (T-D) similarity as a key experimental variable (Townsend & Fifi?, 2004). One of the major goals of the present study was to employ T-D similarity in visual search to learn whether this mode of manipulating processing speed would affect the parallel versus serial issue in that domain. The result was a surprising and regular departure from ordinary parallel or serial processing. The most plausible account at present relies on the notion of positively interacting parallel channels.