A theory of appropriate statistics

A formal theory of appropriateness for statistical operations is presented which incorporates features of Stevens' theory of appropriate statistics and Suppes' theory of empirical meaningfulness. It is proposed that a statistic be regarded as appropriate relative to statements made about it in case the truths of these statements are invariant under permissible transformations of the measurement scale. It is argued that the use of inappropriate statistics leads to the formulation of statements which are either semantically meaning-less or empirically nonsignificant.This research was supported in part by each of the following grants: National Science Foundation Grant GS-333 to the University of Oregon; National Science Foundation Grant to the Institute of Human Learning, University of California, Berkeley; and National Institute of Mental Health Grant MH-08055-01 (under the direction of Ernest W. Adams), also to the Institute of Human Learning. Work on this project was carried out in part during Robert F. Fagot's tenure as Public Health Service Special Fellow (No. MSP-15800) at the University of California, Berkeley, 1962-63; and during Richard E. Robinson's tenure as National Science Foundation Science Faculty Fellow at Stanford University, 1962–63.     

The PDP-8/I as a CAT

A programmed algorithm to compute a weighted ensemble average on a set of output signal realizations is presented. Thus programmed, the PDP-8/I can recover output signals, which are due to periodic input signals, from a noisy system. Arbitrarily, large enhancement of signal-to-noise ratio is attainable. The configuration used is a 4K PDP-8/I with AD08-B analog-to-digital converter.     

Theory for the mechanism of action of “miracle fruit”

The action of miracle fruit in changing the quality of a sour stimulus to that of sweet is hypothesized as being caused by blocking of the sour receptor sites. It is assumed, according to a new theory that holds that proton acceptors are sweet-evoking, that many sour stimuli are also simultaneously stimuli for the sweet receptors. However, the resulting sweet information is strongly inhibited by the sour system, so that sweet is not reported.     

Power spectral density analysis of the standing sway of males

Application of power spectral density analysis to normal human standing sway showed that the power in sway was unevenly distributed among various frequencies below 1.0 Hz. Ss were divided, with regard to antero-posterior sway, into two types on the basis of the frequencies at which peaks of power occurred. The same Ss were divided into four types, with regard to lateral sway, using similar criteria. The different types appear to represent normal variations in the basic mechanism for standing upright.     

Gustatory quality changes as a function of solution concentration

Four selected female Ss were instructed to respond with the qualities of either bitter, salty, sour, sweet, or no taste to solutions of LiCl, KCl, Li₂SO₄, or K₂SO₄ which varied in concentration from 0.0040 to 0.050 M for the first two salts, and 0.0020 to 0.025 F for the last two. Mean percentages of each quality, with sweet combined with the no taste response, when plotted against concentration, gave functions in which one quality predominated within a given concentration range. This quality was superseded by another over a higher concentration range. These results are explained in terms of an inhibition phenomenon.     

In the Eye of the Beholder: Accounting for Variability in Attitudes and Cognitive/Affective Reactions Toward the Threat of Nuclear War1

The present study was designed to evaluate four characteristics of subjects [i.e., generation (students vs. parents), gender, nuclear threat orientation, and political affiliation] in terms of potential differences in attitudes and cognitive/affective reactions toward the threat of nuclear war. Subjects were 297 college students and their parents (n= 546), who completed a multifaceted questionnaire concerning nuclear-related thoughts, feelings, opinions, and predictions. Multivariate analyses suggested that college students were more distressed than parents about the threat of nuclear war, that men were less anxious than women and more supportive of a “peace through strength” perspective, that individuals endorsing the Disarmist orientation were more worried about nuclear war yet more optimistic than other groups concerning their ability to help reduce the nuclear threat, and that Republicans and Democrats were split along party lines in terms of their attitudes and cognitive/affective responses. Results are discussed with regard to the potential influence of sex-role socialization processes and the importance of optimism in a nuclear world.     

Single-component microcomputer-driven assessment of attention

The Gordon Diagnostic System (GDS) is a single-component microcomputer-based instrument that can be used to administer 11 psychological tests. The game-like tasks provide objective data for evaluating possible attention-deficit hyperactivity disorder or other conditions that affect a person’s ability to sustain attention and exert self-control. The core of the instrument is an integrated circuit with a microprocessor, a random access memory, and an erasable, programmable read-only memory (EPROM). It can be programmed with an IBM PC and an EPROM programmer. The assembly language source is compiled into machine language, which is used to simulate the GDS on the IBM PC or is “burned” into the ROM. The memory is erasable with ultraviolet light, so revisions can be made easily. The GDS illustrates that “custom” programming a ROM is not limited to large industrial concerns, and that it can be done within small research groups.