Factor pattern of test items and tests as a function of the correlation coefficient: Content,difficulty, and constant error factors

A dilemma was created for factor analysts by Ferguson (Psychometrika, 1941,6, 323–329) when he demonstrated that test items or sub-tests of varying difficulty will yield a correlation matrix of rank greater than 1, even though the material from which the items or sub-tests are drawn is homogeneous, although homogeneity of such material had been defined operationally by factor analysts as having a correlation matrix of rank 1. This dilemma has been resolved as a case of ambiguity, which lay in (1) failure to specify whether homogeneity was to apply to content, difficulty, or both, and (2) failure to state explicitly the kind of correlation to be used in obtaining the matrix. It is demonstrated that (1) if the material but (2) if content is homogeneous but difficulty is not, the homogeneity of the content can be demonstrated only by using the tetrachoric correlation coefficient in deriving the matrix; and that the use of the phi-coefficient (Pearsonianr) will disclose only the nonhomogeneity of the difficulty and lead to a series ofconstant error factors as contrasted withcontent factors. Since varying difficulty of items (and possibly of sub-tests) is desirable as well as practically unavoidable, it is recommended that all factor analysis problems be carried out with tetrachoric correlations. While no one would want to obtain the constant error factors by factor analysis (difficulty being more easily obtained by counting passes), their importance for test construction is pointed out.     

Digging beneath the surface: Results from stage one of a qualitative analysis of factors influencing the well-being of trans youth in Quebec

ABSTRACT

Background: The literature on trans youth has been dominated by etiological studies interested in trans experience as a medical phenomenon. An emerging body of literature has begun to document that trans youth are a diverse, vulnerable, yet resilient population, and to investigate the role of various sites of support such as the family, peer groups, institutions, and community spaces in contributing to or impeding trans youth's well-being.

Method: This article presents the results of Stage One of interviews (n = 24) conducted for a Community-Based Participatory Action Research (CBPAR) qualitative research project based in Quebec. It studies the factors that enhance trans youth's well-being as well as the factors of oppression that negatively affect it. This paper offers a brief overview of the anti-oppressive methodology used for this project, emphasizing how CBPAR was combined with Grounded Theory (GT) methods to encourage the direct involvement of communities and the translation of knowledge into action.

Results: We present preliminary categories emerging through the ongoing axial coding process. These categories address trans youth's experiences in and perceptions of various “sites”: 1) healthcare services both for gender-related and general care, 2) other institutional spaces, 3) the family and other social circles, and 4) community spaces.

Conclusion: While much of this study's results support existing evidence on trans youth's experiences, they also provide a more nuanced portrayal of the complex ways in which recognition, as well as non-, mis-, or mal-recognition, influence trans youth's well-being at different sites. We also argue that recognition itself must be considered through the lens of intersectionality.     

Organizing the voice questionnaire for transgender persons

Abstract

Background: The validated Transsexual Voice Questionnaire Male to Female (TVQ^MtF) and the adapted TVQ Female to Male (FtM) (TVQ^FtM) are both 30-item-long questionnaires used to evaluate self-perception of voice in transgender persons. They are part of a series of questionnaires completed by transgender persons during follow-up of cross-sex hormone therapy (CSHT).

Aim: The aim of this study was to examine if these questionnaires can be organized.

Methods: The TVQ^MtF or the TVQ^FtM was filled out at the start of CSHT, by 145 trans women and 83 trans men. Data were analyzed by factor analyses on both the questionnaires.

Results: The factor analyses resulted in a three-factor solution for both the TVQ^MtF and the TVQ^FtM. The three factors were labeled as anxiety and avoidance, vocal identity, and vocal function.

Conclusion: Both the questionnaires can be organized into three factors. This could contribute to making shorter versions of the questionnaires. Shorter versions would be useful to hormone prescribing physicians to track down more quickly voice problems in trans people undergoing virilizing or feminizing hormone treatment.     

Social anxiety and post-event processing among African-American individuals

Background: Social anxiety is among the most prevalent psychiatric conditions, yet little attention has been paid to whether putative cognitive vulnerability factors related to social anxiety in predominantly White samples are related to social anxiety among historically underrepresented groups.

Design: We tested whether one such vulnerability factor, post-event processing (PEP; detailed review of social event that can increase state social anxiety) was related to social anxiety among African-American (AA; n?=?127) persons, who comprise one of the largest underrepresented racial groups in the U.S. Secondarily, we tested whether AA participants differed from non-Hispanic White participants (n?=?127) on PEP and social anxiety and whether race moderated the relation between PEP and social anxiety.

Method: Data were collected online among undergraduates.

Results: PEP was positively correlated with social anxiety among AA participants, even after controlling for depression and income, pr?=?.30, p?=?.001. AA and White participants did not differ on social anxiety or PEP, β?=??1.57, 95% CI: ?5.11, 1.96. The relation of PEP to social anxiety did not vary as a function of race, β?=?0.00, 95% CI: ?0.02, 0.02.

Conclusions: PEP may be an important cognitive vulnerability factor related to social anxiety among AA persons suffering from social anxiety.     

The effects of scenario-based risk information on perceptions of susceptibility to Chlamydia and HIV

Abstract

Objectives: The Self-Report Habit Index (SRHI) was originally reported as one-dimensional; however, habit has been described as characterised by several features. Moreover, one-dimensional models for the SRHI have demonstrated poor fit. Therefore, we aimed to compare multidimensional models with a one-dimensional model in both snacking and physical activity habits, besides examining further instrument characteristics.

Design: A cross-sectional study was conducted with high school and university students (n?=?555).

Main outcome measure: The SRHI adapted for physical activity and for snaking habits was applied at one time point.

Results: Nested models with one factor, two factors and three factors were compared. Next, a hierarchical second-order model was tested, and further validity issues, as well as invariance between habits, were examined. Three-dimensional models represented a better fit for both habits. However, fit was still inadequate in the snacking version. In addition, discriminant validity concerns emerged for the physical activity SRHI. Moreover, invariance between the snacking and the physical activity versions was not confirmed.

Conclusions: Considering the SRHI as composed by the dimensions of ‘lack of awareness’, ‘lack of control’ and ‘history of behavioural repetition’ seems to be more accurate. Nevertheless, our findings suggest that further research is needed.     

Predicting adolescent posttraumatic stress in the aftermath of war: Differential effects of coping strategies across trauma reminder,loss reminder,and family conflict domains

Background and Objectives: The vast majority of youth who lived through the Bosnian war were exposed to multiple traumatic events, including interpersonal violence, community destruction, and the loss of a loved one. This study examined factors that predict post-war psychological adjustment, specifically posttraumatic stress, in Bosnian adolescents. Design: Regression analyses evaluated theorized differential relations between three types of post-war stressors – exposure to trauma reminders, loss reminders, and intrafamilial conflict – specific coping strategies, and posttraumatic stress symptom dimensions. Methods: We examined 555 Bosnian adolescents, aged 15–19 years, to predict their long-term posttraumatic stress reactions in the aftermath of war. Results: Findings indicated that post-war exposure to trauma reminders, loss reminders, and family conflict, as well as engagement and disengagement coping strategies, predicted posttraumatic stress symptoms. Secondary control engagement coping responses to all three types of post-war stressors were inversely associated with posttraumatic stress symptoms, whereas primary control engagement coping responses to family conflict were inversely associated with hyperarousal symptoms. Disengagement responses to trauma reminders and family conflict were positively associated with re-experiencing symptoms. Conclusions: These findings shed light on ways in which trauma reminders, loss reminders, and family conflict may intersect with coping responses to influence adolescent postwar adjustment.     

Fiction as a Base of Interpretation Contexts

In this paper, I want to deal with the problem of how to find an adequate context of interpretation for indexical sentences that enables one to account for the intuitive truth-conditional content which some apparently puzzling indexical sentences like “I am not here now” as well as other such sentences contextually have. In this respect, I will pursue a fictionalist line. This line allows for shifts in interpretation contexts and urges that such shifts are governed by pretense, which has to be understood in terms of socially shared make-believe games. By appealing to pretense so conceived, I will show that the fictionalist perspective is halfway between an intentionalist perspective, according to which the above indexical sentences have to be interpreted in a shifted intended context, (this perspective is primarily defined by Predelli 1998, Analysis 58, 107; Mind and Language 13, 400) and a conventionalist perspective, according to which indexical reference shifts in accordance with a conventional setting. (For this perspective, cf. Corazza et al. 2002, Philosophical Studies 107, See also Corazza 2004, Reflecting the Mind: Indexicality and Quasi-Indexicality, Oxford University Press). Finally, I will claim that the fictionalist analysis of cases of non-ordinary uses of indexicals like “here” and “now” can be retained in face of a new alternative analysis of those cases in terms of an ‘unbound anaphora’ – theory (cf. Corazza 2004, Synthese 138, 145).     

General theory and methods for matric factoring

Methods are developed for factoring an arbitrary rectangular matrixS of rankr into the formFP, whereF hasr columns andP hasr rows. For the statistical problem of factor analysis,S may be the score matrix of a population of individuals on a battery of tests. ThenF is a matrix of factor loadings,P is a matrix of factor scores, andr is the number of factor variates. (As in current procedures, there remains a subsequent problem of rotation of axes and interpretation of factors, which is not discussed here.) Methods are also developed for factoring an arbitrary Gramian matrixG of rankr into the formFF, whereF hasr columns andF denotesF transposed. For the statistical problem of factor analysis,G may be the matrix of intercorrelations,R, of a battery of tests, with unity, communalities, or other parameters in the principal diagonal.R is proportional toSS, and it is shown thatS can be factored by factoringR. This may usually be the most economical procedure in practice; it should not be overlooked, however, thatS can be factored directly. The general methods build up anF (andP) in as many stages as desired; as many factors as may be deemed computationally practical can be extracted at a time. Perhaps it will usually be found convenient to extract not more than three factors at a time. Current procedures, like the centroid and principal axes, are special cases of a general method presented here for extracting one factor at a time.     

On the Existence of Continua of Logics Between Some Intermediate Predicate Logics

A method for constructing continua of logics squeezed between some intermediate predicate logics, developed by Suzuki [8], is modified and applied to intervals of the form [L, L+ ¬¬S], where Lis a predicate logic, Sis a closed predicate formula. This solves one of the problems from Suzuki's paper.     

A Cut-Free Sequent System for the Smallest Interpretability Logic

The idea of interpretability logics arose in Visser [Vis90]. He introduced the logics as extensions of the provability logic GLwith a binary modality . The arithmetic realization of A B in a theory T will be that T plus the realization of B is interpretable in T plus the realization of A (T + A interprets T + B). More precisely, there exists a function f (the relative interpretation) on the formulas of the language of T such that T + B C implies T + A f(C).The interpretability logics were considered in several papers. An arithmetic completeness of the interpretability logic ILM, obtained by adding Montagna's axiom to the smallest interpretability logic IL, was proved in Berarducci [Ber90] and Shavrukov [Sha88] (see also Hájek and Montagna [HM90] and Hájek and Montagna [HM92]). [Vis90] proved that the interpretability logic ILP, an extension of IL, is also complete for another arithmetic interpretation. The completeness with respect to Kripke semantics due to Veltman was, for IL, ILMand ILP, proved in de Jongh and Veltman [JV90]. The fixed point theorem of GLcan be extended to ILand hence ILMand ILP(cf. de Jongh and Visser [JV91]). The unary pendant "T interprets T + A" is much less expressive and was studied in de Rijke [Rij92]. For an overview of interpretability logic, see Visser [Vis97], and Japaridze and de Jongh [JJ98].In this paper, we give a cut-free sequent system for IL. To begin with, we give a cut-free system for the sublogic IL4of IL, whose -free fragment is the modal logic K4. A cut-elimination theorem for ILis proved using the system for IK4and a property of Löb's axiom.     

Yet Another Run around the Circle

In a recent article, D. A. Truncellito (2004, ‘Running in Circles about Begging the Question’, Argumentation 18, 325–329) argues that the discussion between Robinson (1971, ‘Begging the Question’, Analysis 31, 113–117), Sorensen (1996, ‘Unbeggable Questions’, Analysis 56, 51–55) and Teng (1997, ‘Sorensen on Begging the Question’, Analysis 57, 220–222) shows that we need to distinguish between logical fallacies, which are mistakes in the form of the argument, and rhetorical fallacies, which are mistakes committed by the arguer. While I basically agree with Truncellito’s line of thinking, I believe this distinction is not tenable and offer a different view. In addition, I will argue that the conclusion to draw from the abovementioned discussion is that validity is not a sufficient criterion of begging the question, and that we should be wary of the containment-metaphor of a deductive argument.     

When is a cause the “same”? Incoherent generalization across contexts

A theory or model of cause such as Cheng's power (p) allows people to predict the effectiveness of a cause in a different causal context from the one in which they observed its actions. Liljeholm and Cheng demonstrated that people could detect differences in the effectiveness of the cause when causal power varied across contexts of different outcome base rates, but that they did not detect similar changes when only the cause–outcome contingency, ?p, but not power, varied. However, their procedure allowed participants to simplify the causal scenarios and consider only a subsample of observations with a base rate of zero. This confounds p, ?p, and the probability of an outcome (O) given a cause (C), P(O|C). Furthermore, the contingencies that they used confounded p and P(O|C) in the overall sample. Following the work of Liljeholm and Cheng, we examined whether causal induction in a wider range of situations follows the principles suggested by Cheng. Experiments 1a and 1b compared the procedure used by Liljeholm and Cheng with one that did not allow the sample of observations to be simplified. Experiments 2a and 2b compared the same two procedures using contingencies that controlled for P(O|C). The results indicated that, if the possibility of converting all contexts to a zero base rate situation was avoided, people were sensitive to changes in P(O|C), p, and ?p when each of these was varied. This is inconsistent with Liljeholm and Cheng's conclusion that people detect only changes in p. These results question the idea that people naturally extract the metric or model of cause from their observation of stochastic events and then, reasonably exclusively, use this theory of a causal mechanism, or for that matter any simple normative theory, to generalize their experience to alternative contexts.     

Are There Algorithms That Discover Causal Structure?

There have been many efforts to infer causation from association byusing statistical models. Algorithms for automating this processare a more recent innovation. In Humphreys and Freedman[(1996) British Journal for the Philosophy of Science 47, 113–123] we showed that one such approach, by Spirtes et al., was fatally flawed. Here we put our arguments in a broader context and reply to Korb and Wallace [(1997) British Journal for thePhilosophy of Science 48, 543–553] and to Spirtes et al.[(1997) British Journal for the Philosophy of Science 48, 555–568]. Their arguments leave our position unchanged: claims to have developed a rigorous engine for inferring causation from association are premature at best, the theorems have no implications for samples of any realistic size, and the examples used to illustrate the algorithms are indicative of failure rather than success. The gap between association and causation has yet to be bridged.     

Psychological Reactance: Factor Structure and Internal Consistency of the Questionnaire for the Measurement of Psychological Reactance

Abstract

Psychological reactance, the theory that people resist attempts to constrain either their thoughts or their behaviors (J. W. Brehm, 1966), has been an influential concept in social psychology. In an attempt to measure reactance, J. Merz (1983) developed the Questionnaire for the Measurement of Psychological Reactance (QMPR). Subsequent researchers (S.-M. Hong & R. Ostini, 1989; R. K. Tucker & P. Y. Byers, 1987) have debated both the exact factor structure and the psychometric stability of the QMPR. In the present study, 898 undergraduates completed the QMPR. Factor analysis suggested that psychological reactance is multidimensional. The authors found 3 factors underlying the QMPR, but the QMPR provided unreliable estimates for each of those factors. According to the results, the QMPR as currently written is psychometrically unsatisfactory.     

The structure of DSM-5 posttraumatic stress disorder symptoms in war veterans

Background and Objectives: The present research examined the underlying factor structure of posttraumatic stress disorder (PTSD) as conceptualized in the recently published fifth edition of the Diagnostic and statistical manual of mental disorders (DSM-5). Design: Participants were 258 trauma-exposed Iraq/Afghanistan war veterans. Methods: A self-report measure of PTSD symptoms was administered to all participants and confirmatory factor analysis (CFA) was used to compare several different models of PTSD. Results: CFA revealed that the best-fitting model was a six-factor model in which symptoms loaded onto the factors of intrusion, avoidance, negative affect, anhedonia, dysphoric arousal, and anxious arousal. Conclusions: These findings have important implications for ongoing conceptualization of PTSD and suggest that additional modifications to the diagnostic criteria for PTSD may still be warranted to more accurately reflect the underlying structure of PTSD symptoms.     

A factor analysis of verbal abilities

A multiple-factor analysis was made of a battery of 42 tests of verbal abilities administered to 119 college adults. Where necessary, the distributions of test scores were normalized before the inter-test correlations were computed. Thurstone'sM (Memory or Rote Learning) factor has been confirmed, but hisV (Verbal Relations) factor seems to have been split into two or possibly three factors,C,J, andG; and hisW (Word Fluency) factor has been split into two factors,A andE. TheC factor seems to represent the richness of the individual's stock of linguistic responses, and theJ factor seems to involve the ability to handle semantic relationships. No satisfactory interpretation can as yet be made of theG factor. TheA factor seems to correspond to the speed of association for common words where there is a high degree of restriction as to appropriate responses. TheE factor is described as an associational facility with verbal material where the only restriction is that the responses must be syntactically coherent. The new factors are:F, facility and fluency in oral speech;H, facility in attaching appropriate names or symbols to stimuli; andD, speed of articulatory movements.This paper is a condensation of the writer's doctoral dissertation, A Factor Analysis of Verbal Abilities, on file at the library of the University of Minnesota.     

The Logic of the Ontological Square

The Ontological Square is a categorial scheme that combines two metaphysical distinctions: that between types (or universals) and tokens (or particulars) on the one hand, and that between characters (or features) and their substrates (or bearers) on the other hand. The resulting four-fold classification of things comprises particular substrates, called substances, universal substrates, called kinds, particular characters, called modes or moments, and universal characters, called attributes. Things are joined together in facts by primitive ontological ties or nexus. This article describes a logic that is meant to capture the basic intuitions behind the Ontological Square. Given a minimal correspondence between atomic logical form and ontological structure, the commitment to nexus as a distinct ontological category entails a rehabilitation of copulae as ties of predication. Thus, the Logic of the Ontological Square is a copula calculus rather than a predicate calculus; its soundness and completeness can be established with respect to a model akin to a so-called first-order semantics for standard second-order logic. Presented by Hannes Leitgeb     

Predicting physical activity in adolescents: The role of compensatory health beliefs within the Health Action Process Approach

Objective: Compensatory health beliefs (CHBs), defined as beliefs that healthy behaviours can compensate for unhealthy behaviours, may be one possible factor hindering people in adopting a healthier lifestyle. This study examined the contribution of CHBs to the prediction of adolescents’ physical activity within the theoretical framework of the Health Action Process Approach (HAPA).

Design: The study followed a prospective survey design with assessments at baseline (T1) and two weeks later (T2).

Method: Questionnaire data on physical activity, HAPA variables and CHBs were obtained twice from 430 adolescents of four different Swiss schools. Multilevel modelling was applied.

Results: CHBs added significantly to the prediction of intentions and change in intentions, in that higher CHBs were associated with lower intentions to be physically active at T2 and a reduction in intentions from T1 to T2. No effect of CHBs emerged for the prediction of self-reported levels of physical activity at T2 and change in physical activity from T1 to T2.

Conclusion: Findings emphasise the relevance of examining CHBs in the context of an established health behaviour change model and suggest that CHBs are of particular importance in the process of intention formation.     

Arguments,Meta-arguments,and Metadialogues: A Reconstruction of Krabbe,Govier, and Woods

Krabbe (2003, in F.H. van Eemeren, J.A. Blair, C.A. Willard and A.F. Snoeck Henkemans (eds.), Proceedings of the Fifth Conference of the International Society for the Study of Argumentation, Sic Sat, Amsterdam, pp. 641–644) defined a metadialogue as a dialogue about one or more dialogues, and a ground-level dialogue as a dialogue that is not a metadialogue. Similarly, I define a meta-argument as an argument about one or more arguments, and a ground-level argument as one which is not a meta-argument. Krabbe (1995, in F.H van Eemeren, R. Grootendorst, J.A. Blair, C.A. Willard and A.F. Snoeck Henkemans (eds.), Proceedings of the Third ISSA Conference on Argumentation, Sic Sat, Amsterdam, pp. 333–344) showed that formal-fallacy criticism (and more generally, fallacy criticism) consists of metadialogues, and that such metadialogues can be profiled in ways that lead to their proper termination or resolution. I reconstruct Krabbe’s metadialogical account into monolectical, meta-argumentative terminology by describing three-types of meta-arguments corresponding to the three ways of proving formal invalidity he studied: the trivial logic-indifferent method; the method of counterexample situation; and the method of formal paraphrase. A fourth type of meta-argument corresponds to what Oliver (1967, Mind 76, 463–478), Govier (1985, Informal Logic 7, 27–33), and Copi (1986) call refutation by logical analogy. A fifth type of meta-argument represents my reconstruction of arguments by parity of reasoning studied by Woods and Hudak (1989, Informal Logic 11, 125–139). Other particular meta-arguments deserving future study are Hume’s critique of the argument from design in the Dialogues Concerning Natural Religion, and Mill’s initial argument in The Subjection of Women about the importance of established custom and general feeling vis-à-vis argumentation.