Generating variable and random schedules of reinforcement using Microsoft Excel macros

Variable reinforcement schedules are used to arrange the availability of reinforcement following varying response ratios or intervals of time. Random reinforcement schedules are subtypes of variable reinforcement schedules that can be used to arrange the availability of reinforcement at a constant probability across number of responses or time. Generating schedule values for variable and random reinforcement schedules can be difficult. The present article describes the steps necessary to write macros in Microsoft Excel that will generate variable-ratio, variable-interval, variable-time, random-ratio, random-interval, and random-time reinforcement schedule values.     

The spatial representation of numerical and non-numerical ordered sequences: Insights from a random generation task

It is widely believed that numbers are spatially represented from left to right on the mental number line. Whether this spatial format of representation is specific to numbers or is shared by non-numerical ordered sequences remains controversial. When healthy participants are asked to randomly generate digits they show a systematic small-number bias that has been interpreted in terms of “pseudoneglect in number space”. Here we used a random generation task to compare numerical and non-numerical order. Participants performed the task at three different pacing rates and with three types of stimuli (numbers, letters, and months). In addition to a small-number bias for numbers, we observed a bias towards “early” items for letters and no bias for months. The spatial biases for numbers and letters were rate independent and similar in size, but they did not correlate across participants. Moreover, letter generation was qualified by a systematic forward direction along the sequence, suggesting that the ordinal dimension was more salient for letters than for numbers in a task that did not require its explicit processing. The dissociation between numerical and non-numerical orders is consistent with electrophysiological and neuroimaging studies and suggests that they rely on at least partially different mechanisms.     

From randomness to stability

The present study describes how the association between randomly chosen variables changes at the successive steps of temporal processes to converge into stable values as suggested by I. Prigogine. To generalize the results to any specific area so results may be applied to concrete problems in different sciences, randomly chosen matrices of random numbers were successively multiplied to generate temporal sequences that before reaching stability had different number of steps. Our results indicate that the obtained poliphasic stability is irreversible.     

The magical number seven: Making a “bit” of “sense”

The maximum number of categories distinguishable in making an absolute judgment was estimated by Miller to be “seven plus or minus two,” corresponding to about 3 bits of information transmitted per stimulus. Later work extended this range to include at least 2 to 4 bits of information, which reached 16 categories. In contrast, the number of distinguishable differences between two stimuli is in the order of 100. Why is this so? It is shown here that an answer to these questions can be obtained by constructing anentropy function, Hs, which is a measure of the uncertainty of a subject (or a sensory receptor) as it perceives the magnitude of an applied stimulus. Using this function, it is demonstrated that the ubiquitous 3 bits of information per stimulus can be approximated from the expression \(\log _2 \sqrt {{{\tau _2 } \mathord{\left/ {\vphantom {{\tau _2 } {\tau _1 }}} \right. \kern-0em} {\tau _1 }}} \) , where τ₁ and τ₂ are known time constants. The same entropy function can be used to derive various other psychophysical laws, such as the Weber-Fechner law, Stevens’ law, and the Bunsen-Roscoe law.     

Analyzing human random time generation behavior: A methodology and a computer program

In the present article, it is argued that in addition to the traditional random generation tasks discussed by Towse and Neil (1998), random time interval generation tasks should be considered as useful alternatives, because they allow a better empirical control of the executive task component in dualtask situations. First, a framework for discussing randomness over time is presented. Then, the article goes on to present three methods for the analysis of such tasks. A first method is based on the correlation between the intervals produced. The second method calculates the approximate entropy, and the third method converts the time sequences into binary sequences and estimates the statistical properties of the sequence on the basis of these binary data. A principal components analysis on 19 different measures based on 1,381 sequences produced in a number of single-task and dual-task experiments shows that the proposed measures form two general clusters, one related to output probability, perseveration, and alternation, and one related to sequential commonalities. The article also briefly describes a computer program that implements these methodologies.     

RAP: A computer program for exploring similarities in behavior sequences using random projections

A computer program (RAP, for random projection) for exploring similarities between and within sequences of behavior is presented. Given a time window of a sequence, the program calculates a signature, a real-valued vector that is a random projection of the contents of the window (i.e., the codes occurring within it and their relative location, or onset and offset times) into an arbitrary K-dimensional space. Then, given two different time windows from the same sequence or from different sequences, their similarity is computed as an inverse function of the Euclidean distance between their respective signatures. By defining moving (overlapped or not overlapped) windows along each sequence and calculating similarities between every pair of windows from the two sequences, a map of similarities or possible recurrent patterns is obtained; the RAP program represents them as gray-level lattices, which are displayed as mouse-sensitive images in an HTML file. Computation of similarities is based on the random projection method, as presented by Mannila and Seppänen (2001), for the analysis of sequences of events. The program reads sequence data files in Sequential Data Interchange Standard (SDIS) format (Bakeman &; Quera, 1992, 1995a).     

Cautions regarding random number generation on the Apple II

Undocumented characteristics of the pseudorandom number generators in Applesoft BASIC and Apple Pascal are described that cause identical sequences to be generated on different executions of programs written in those languages. Although it is relatively easy for this problem to escape notice, in both cases the problem is easily corrected once its existence is known.     

Destruction, Alteration, Simples and World Stuff

When a tree is chopped to bits, or a sweater unravelled, its matter still exists. Since antiquity, it has sometimes been inferred that nothing has really been destroyed: what has happened is just that this matter has assumed new form. Contemporary versions hold that apparent destruction of a familiar object is just rearrangement of microparticles or of 'physical simples' or 'world–stuff'. But if destruction of a familiar object is genuinely to be reduced to mere alteration of something else, we must identify an alteration proper to the career, the course of existence, of this something else; relatedly, the alteration must be characterizable without asserting the existence of the familiar object. All contemporary views fail one of these requirements.     

Ontogeny of manipulative behavior and nut‐cracking in young tufted capuchin monkeys (Cebus apella): a Perception–action perspective

How do capuchin monkeys learn to use stones to crack open nuts? Perception–action theory posits that individuals explore producing varying spatial and force relations among objects and surfaces, thereby learning about affordances of such relations and how to produce them. Such learning supports the discovery of tool use. We present longitudinal developmental data from semifree‐ranging tufted capuchin monkeys (Cebus apella) to evaluate predictions arising from Perception–action theory linking manipulative development and the onset of tool‐using. Percussive actions bringing an object into contact with a surface appeared within the first year of life. Most infants readily struck nuts and other objects against stones or other surfaces from 6 months of age, but percussive actions alone were not sufficient to produce nut‐cracking sequences. Placing the nut on the anvil surface and then releasing it, so that it could be struck with a stone, was the last element necessary for nut‐cracking to appear in capuchins. Young chimpanzees may face a different challenge in learning to crack nuts: they readily place objects on surfaces and release them, but rarely vigorously strike objects against surfaces or other objects. Thus the challenges facing the two species in developing the same behavior (nut‐cracking using a stone hammer and an anvil) may be quite different. Capuchins must inhibit a strong bias to hold nuts so that they can release them; chimpanzees must generate a percussive action rather than a gentle placing action. Generating the right actions may be as challenging as achieving the right sequence of actions in both species. Our analysis suggests a new direction for studies of social influence on young primates learning sequences of actions involving manipulation of objects in relation to surfaces.     

Sex differences in jealousy in response to infidelity: Evaluation of demographic moderators in a national random sample

Studies examining sex differences in jealousy have often relied on student samples and were restricted to the evaluation of a selected few moderators. In this study, a nationally representative survey of American households was presented with either an actual or a hypothetical infidelity scenario (which appeared as either a forced choice or as continuous measures). Significant sex differences only emerged for forced choice measures and not for continuous measures. Importantly, this effect appeared most strongly in participants reporting reactions to an actual infidelity. We also explored a number of potential moderators of this effect. These moderators were more influential for the hypothetical than for the actual infidelity scenario. Exploratory analysis of additional demographic variables was conducted.     

Universes of discourse: implications for counselling and psychotherapy

All individuals can be envisaged as living within a number of parallel universes of discourse, where different meanings and values may apply; these may be characterised by different language 'registers'. The process of counselling and psychotherapy itself constitutes such a universe. The inner and outer worlds of the client also constitute different universes that may themselves each consist of a number of distinct universes. Decisions made with respect to one universe may have different meanings or adverse consequences in another; it therefore beholds the therapist to be aware of, and alert to, these differences.     

The information conveyed by words in sentences

A method is presented for calculating the amount of information conveyed to a hearer by a speaker emitting a sentence generated by a probabilistic grammar known to both parties. The method applies the work of Grenander (1967) to the intermediate states of a top-down parser. This allows the uncertainty about structural ambiguity to be calculated at each point in a sentence. Subtracting these values at successive points gives the information conveyed by a word in a sentence. Word-by-word information conveyed is calculated for several small probabilistic grammars, and it is suggested that the number of bits conveyed per word is a determinant of reading times and other measures of cognitive load.     

Some articulatory correlates of perceptual isochrony

Given sequences of digits with temporally equidistant acoustic onsets, listeners do not perceive them as isochronous (Morton, Marcus, & Frankish, 1976). In order for the sequences to be perceptually isochronous, systematic departures from acoustic isochrony must be introduced. These acoustic departures are precisely those that talkers generate when asked to produce an isochronous sequence (Fowler, 1979), suggesting that listeners judge isochrony based on acoustic information about articulatory timing. The present experiment was an attempt to test directly whether perceptually isochronous sequences have isochronous articulatory correlates. Electromyographic potentials were recorded from the orbicularis oris muscle when speakers produced sequences of monosyllables “as if speaking in time to a metronome.” Sequences were devised so that lip-muscle activity was related to the syllable-initial consonant, the stressed vowel, or the stressed vowel and final consonant. Results indicate that isochronous muscular activity accompanies both isochronous and anisochronous acoustic signals produced under instructions to generate isochronous sequences. These results support an interpretation of the perceptual phenomenon reported by Morton et al. to the effect that listeners judge isochrony of the talker’s articulations as they are reflected in the acoustic signal.     

Entropy,semantic relatedness and proximity

Although word co-occurrences within a document have been demonstrated to be semantically useful, word interactions over a local range have been largely neglected by psychologists due to practical challenges. Shannon’s (Bell Systems Technical Journal, 27, 379–423, 623–665, 1948) conceptualization of information theory suggests that these interactions should be useful for understanding communication. Computational advances make an examination of local word–word interactions possible for a large text corpus. We used Brants and Franz’s (2006) dataset to generate conditional probabilities for 62,474 word pairs and entropy calculations for 9,917 words in Nelson, McEvoy, and Schreiber’s (Behavior Research Methods, Instruments, & Computers, 36, 402–407, 2004) free association norms. Semantic associativity correlated moderately with the probabilities and was stronger when the two words were not adjacent. The number of semantic associates for a word and the entropy of a word were also correlated. Finally, language entropy decreases from 11 bits for single words to 6 bits per word for four-word sequences. The probabilities and entropies discussed here are included in the supplemental materials for the article.     

Homosexual parents: testing "common sense"--a literature review emphasizing the Golombok and Tasker longitudinal study of lesbians' children

Counter to claims by the American Psychological Association and the National Association of Social Workers as well as numerous reviewers that children raised by homosexuals and married heterosexuals do not differ, the elaborate social-personality theory called "common sense" predicts that because "like produces like" and because psychopathy/sociopathy informs the major expressions of social deviance including homosexuality, children of homosexuals will (1) be more frequently subjected to parental instability (of residence and sexual partners) and (2) have poorer peer and adult relationships. Also, as is held to be true of their parents, homosexuals' children will be more apt to (3) become homosexual, (4) be unstable (have emotional problems and difficulty forming lasting bonds) with reduced interest in natality, and (5) be sexually precocious and promiscuous. Differences between homosexual and heterosexual comparison groups that bore on "common sense" were considered suggestive "bits" of empirical evidence. Differences that emerged within studies conducted by sympathetic researchers utilizing volunteer samples were considered bits of adverse evidence. Of 171 bits, 82 adverse and 55 nonadverse bits supported, while 34 bits fell against "common sense." From this tentative method of counting, support was found for common sense beliefs that children of homosexuals will be more apt to become homosexual and have poorer peer relationships, while weaker support was found for some of the other predictions. As assessed in this way, the empirical evidence in the literature tended to lean against claims of "no differences" between children raised by homosexuals and heterosexuals. In particular, the strongly worded official claims of there being "no differences" are overstatements. They amount to the organizations and some prominent researchers asserting that they have proven the null hypothesis, which is fundamentally impossible. It is likely that the nonsignificant statistical findings stressed thus far include Type Two errors created by use of volunteer samples, inadequate identification and measurement of likely differences, and refusal to interpret results in ways contrary to the sympathies of subjects, investigators, and the organizations.     

An Intervention Strategy to Managing Diversity: Discerning Conventions

The article presents a strategy to minimize disadvantages and maximize advantages of diversity in multinational groups. Members of multinational groups require the skill to recognize cultural differences between group members if they want to deal with intercultural misunderstandings and realize high quality and originality in work. They must discern differences in behavioural standards which may cause mis- and non-understandings during group discussions, and they must determine different ways of defining problems and solving them. Different theoretical assumptions are made concerning the conceptualization of cultural differences as conventions. In multinational groups communication and task conventions can be distinguished. The different communication conventions cause interpersonal misunderstandings. Participants of a training programme learn to use an algorithm for discerning cultural differences. It includes detecting mis- and non-understandings, making conventions explicit, and negotiating conventions. The aim of making task conventions explicit is to obtain a larger number of alternatives to interpret a problem, to solve it, and to evaluate it. The algorithm of discerning conventions is learned with the technique of leading questions Fisher, 1980; Vygotsky, 1978, which is demonstrated to a group of participants which work together on a real task.     

Two-channel random pulse generator

The amplification of random thermal noise is utilized to generate two channels of pulses whose frequencies are random with time. The phase relationship between the two channels is also random with time. The pulses can be used to randomize presentation of stimuli for experimentation or training.     

Family interaction Patterns as a Function of Task Characteristics1

Data from two experiments were evaluated to test the widely held assumption that family process remains essentially constant regardless of the conditions under which it occurs. Significant differences and reversals in patterns of dominance between interacting husbands and wives were obtained under different task conditions. In general, stressful tasks and tasks with structured goals elicited paternal dominance, while maternal dominance of more equalitarian patterns resulted from tasks which involved discussion of feelings and opinions. These and other task dimensions were discussed. The findings of this study generate four conclusions: prior studies must be reviewed to evaluate task effects; future researchers must systematically investigate task characteristics; researchers must exercise care in the selection of tasks in future studies; and the relationship between role behaviors and task demands must be understood in order to help meet the increasing stress impinging upon the modern family system.     

How Values Congeal into Facts

The paper plays against the philosophical stereotype that facts are bits of reality, ‘furniture of the universe’, and that values in contrast are either mysterious bits of reality or responses to facts. It follows Strawson in regarding facts as interpretative constructs. Values also are interpretative constructs, characterized by a normal (but not universal) connection with motivations. So is there a deep difference? There is a sense of ‘facts’, marked by phrases such as ‘Stick to the facts’, in which the interpretative element embedded in a ‘fact’ is uncontentious and would be invisible to most people. The interpretative element in values, in contrast, usually is very noticeable. But values in which this element comes to be uncontentious and taken for granted congeal into facts.