Testing two variances for superiority/non-inferiority and equivalence: Using the exhaustion algorithm for sample size allocation with cost

The equality of two group variances is frequently tested in experiments. However, criticisms of null hypothesis statistical testing on means have recently arisen and there is interest in other types of statistical tests of hypotheses, such as superiority/non-inferiority and equivalence. Although these tests have become more common in psychology and social sciences, the corresponding sample size estimation for these tests is rarely discussed, especially when the sampling unit costs are unequal or group sizes are unequal for two groups. Thus, for finding optimal sample size, the present study derived an initial allocation by approximating the percentiles of an F distribution with the percentiles of the standard normal distribution and used the exhaustion algorithm to select the best combination of group sizes, thereby ensuring the resulting power reaches the designated level and is maximal with a minimal total cost. In this manner, optimization of sample size planning is achieved. The proposed sample size determination has a wide range of applications and is efficient in terms of Type I errors and statistical power in simulations. Finally, an illustrative example from a report by the Health Survey for England, 1995–1997, is presented using hypertension data. For ease of application, four R Shiny apps are provided and benchmarks for setting equivalence margins are suggested.     

The Harvard Pigeon Lab under Herrnstein

The history of the Harvard Pigeon Lab is a history of two periods of remarkable productivity, the first under Skinner's leadership and the second under Herrnstein's. In each period, graduate students flocked to the leader and then began stimulating one another. Chance favored Herrnstein's leadership, too, because an unusually large number of graduate students were admitted in the fall of 1962. In each period, productivity declined as the leader lost interest in the laboratory and withdrew. Directly and indirectly, the laboratory finally died as a result of the cognitive "revolution." Skinner and his students saw the possibility of a natural science of behavior and set about establishing that science based on concepts such as response rate, stimulus control, and schedules of reinforcement. Herrnstein and his students saw that the science could be quantitative and set about making it so, with relative response rate, the matching law, and the psychophysics of choice (analogous to S. S. Stevens' psychophysics). The history might provide a golden research opportunity for someone interested in the impact of such self-organizing research groups on the progress of science.     

Steps and pips in the history of the cumulative recorder

From its inception in the 1930s until very recent times, the cumulative recorder was the most widely used measurement instrument in the experimental analysis of behavior. It was an essential instrument in the discovery and analysis of schedules of reinforcement, providing the first real-time analysis of operant response rates and patterns. This review traces the evolution of the cumulative recorder from Skinner's early modified kymographs through various models developed by Skinner and his colleagues to its perfection in the 1950s, and then into the 1960s when it proliferated as different scientific instrument companies began marketing their own models of the cumulative recorder. With the rise of digital computers, the demise of the cumulative recorder as a scientific instrument was inevitable; however, the value of the cumulative record as a monitoring device to assess schedule control of behavior continues. The cumulative recorder remains, along with the operant conditioning chamber, an icon of Skinner's approach to psychology.     

Science and Human Behavior: a tutorial in behavior analysis

B. F. Skinner's Science and Human Behavior (1953) became the main source of my understanding of behavior during my first semester as a college professor in 1955 at Kansas University. It has continued to exert a major influence throughout my career as the basis for a completely deterministic science of behavior, as a handbook to be consulted as a first step in dealing with any issue in behavior analysis, and as a tutorial in behavioral interpretive analysis--in the use of a small number of behavioral concepts and principles to understand behavior of all degrees of complexity. I describe four general interpretive orientations or maxims that are of broad significance for behavior analysis, and also two underappreciated major theoretical contributions.     

A Review of Baum's Review of Conceptual Foundations of Radical Behaviorism

Baum expressed numerous concerns about my Conceptual Foundations of Radical Behaviorism in his review. If his review were an independent submission and I were an independent referee, I would recommend that his review be rejected and that he be encouraged to revise and resubmit, once he has studied the field a bit more and clarified for himself and journal readers several important matters. I outline two sets of concerns that he might usefully clarify in his revision: (a) the important contributions of B. F. Skinner to a book about radical behaviorism, and (b) the nature of private behavioral events. In particular, the methodological behaviorism inherent in Baum's position needs to be resolved.     

Misreadings,Clarifications and Reminders: A Reply to Hutchinson and Read

ABSTRACT

Analytic philosophy is often associated with a physicalistic naturalism that privileges natural-scientific modes of explanation. Nevertheless there has since the 1980s been a heterodox, somewhat subterranean trend within analytic philosophy that seeks to articulate a more expansive, ‘non-reductive‘ conception of nature. This trend can be traced back to P.F. Strawson’s 1985 book Skepticism and Naturalism: Some Varieties. However, Strawson has long been ignored in the literature around ‘soft naturalism’ – especially in comparison to John McDowell. One of the reasons for this is that Strawson’s account of soft naturalism is not often viewed as particularly plausible – it has come in for heavy criticism from the likes of Sebastian Gardner (2007) and Robert Stern (2003). In this paper, I argue that Strawson’s soft naturalism ought to be re-assessed: that his critics can be refuted, and that his naturalism remains a compelling alternative to the likes of McDowell’s. I attempt this through a ‘radicalisation’ of the modest Strawson’s position, demonstrating that his naturalism has implicit in it something like Marx’s conception of human ‘species-being’.     

Perceiving vocal age and gender: An adaptation approach

Aftereffects of adaptation have revealed both independent and interactive coding of facial signals including identity and expression or gender and age. By contrast, interactive processing of non-linguistic features in voices has rarely been investigated. Here we studied bidirectional cross-categorical aftereffects of adaptation to vocal age and gender. Prolonged exposure to young (~ 20 yrs) or old (~ 70 yrs) male or female voices biased perception of subsequent test voices away from the adapting age (Exp. 1) and the adapting gender (Exp. 2). Relative to gender-congruent adaptor-test pairings, vocal age aftereffects (VAAEs) were reduced but remained significant when voice gender changed between adaptation and test. This suggests that the VAAE relies on both gender-specific and gender-independent age representations for male and female voices. By contrast, voice gender aftereffects (VGAEs) were not modulated by age-congruency of adaptor and test voices (Exp. 2). Instead, young voice adaptors generally induced larger VGAEs than old voice adaptors. This suggests that young voices are particularly efficient gender adaptors, likely reflecting more pronounced sexual dimorphism in these voices. In sum, our findings demonstrate how high-level processing of vocal age and gender is partially intertwined.     

Ecclesiology and the doctrine of creation: a Scandinavian theological perspective

With a view to the present challenges facing the traditional folk churches in Scandinavia, this article aims to present the interconnectedness of creation theology and ecclesiology, as this has been understood in Scandinavian ‘folk church Lutheranism’. While theologies of the Church often seem unrelated to a theology of creation, Bonhoeffer and de Lubac represent two different ways of connecting the two. This article shows how the theological tradition to which Grundtvig and Wingren belong, corresponds to and differs from these continental theologians. The specific character of the Scandinavian tradition is interpreted as stemming from an amalgam of Luther and Irenaeus. In conclusion, the article offers some critical comments on this tradition, and some reflections on how to negotiate between the all-inclusive nature of the Church, her catholicity, and the limited character of any actual local church. It is suggested that a reconsideration of the ecclesiological implications of the first article of faith (the doctrine of creation) is required for coming to terms with this challenge.     

Can we disregard the whole model? Omnibus non-inferiority testing for R2 in multi-variable linear regression and in ANOVA

Determining a lack of association between an outcome variable and a number of different explanatory variables is frequently necessary in order to disregard a proposed model (i.e., to confirm the lack of a meaningful association between an outcome and predictors). Despite this, the literature rarely offers information about, or technical recommendations concerning, the appropriate statistical methodology to be used to accomplish this task. This paper introduces non-inferiority tests for ANOVA and linear regression analyses, which correspond to the standard widely used F test for and R², respectively. A simulation study is conducted to examine the Type I error rates and statistical power of the tests, and a comparison is made with an alternative Bayesian testing approach. The results indicate that the proposed non-inferiority test is a potentially useful tool for ‘testing the null’.     

Types produce types: An examination of personality development using Holland's theory

This study was designed to test Holland's hypothesis that parents encourage the development of their own personality types in their offspring. Data were collected by personal interviews from three freshmen classes at a large midwestern university. Parent's personality types (occupations) were compared to offsprings' personality types (expressed occupational choices) using the Kolmogorov-Smirnov one-sample test to determine whether or not the comparisons were due to chance. The results indicated that relationships existed between the personality types of fathers-sons, fathers-daughters and mothers-daughters while no relationship was confirmed between mothers-sons.