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Prediction of genotoxicity of chemical compounds by statistical learning methods.

Various toxicological profiles, such as genotoxic potential, need to be studied in drug discovery processes and submitted to the drug regulatory authorities for drug safety evaluation. As part of the effort for developing low cost and efficient adverse drug reaction testing tools, several statistical learning methods have been used for developing genotoxicity prediction systems with an accuracy of up to 73.8% for genotoxic (GT+) and 92.8% for nongenotoxic (GT-) agents. These systems have been developed and tested by using less than 400 known GT+ and GT- agents, which is significantly less in number and diversity than the 860 GT+ and GT- agents known at present. There is a need to examine if a similar level of accuracy can be achieved for the more diverse set of molecules and to evaluate other statistical learning methods not yet applied to genotoxicity prediction. This work is intended for testing several statistical learning methods by using 860 GT+ and GT- agents, which include support vector machines (SVM), probabilistic neural network (PNN), k-nearest neighbor (k-NN), and C4.5 decision tree (DT). A feature selection method, recursive feature elimination, is used for selecting molecular descriptors relevant to genotoxicity study. The overall accuracies of SVM, k-NN, and PNN are comparable to and those of DT lower than the results from earlier studies, with SVM giving the highest accuracies of 77.8% for GT+ and 92.7% for GT- agents. Our study suggests that statistical learning methods, particularly SVM, k-NN, and PNN, are useful for facilitating the prediction of genotoxic potential of a diverse set of molecules.

Computational Biology↗

In vitro dissolution profile comparison--statistics and analysis of the similarity factor, f2.

PURPOSE: To describe the properties of the similarity factor (f2) as a measure for assessing the similarity of two dissolution profiles. Discuss the statistical properties of the estimate based on sample means. METHODS: The f2 metrics and the decision rule is evaluated using examples of dissolution profiles. The confidence interval is calculated using bootstrapping method. The bias of the estimate using sample mean dissolution is evaluated. RESULTS: 1. f2 values were found to be sensitive to number of sample points, after the dissolution plateau has been reached. 2. The statistical evaluation of f2 could be made using 90% confidence interval approach. 3. The statistical distribution of f2 metrics could be simulated using 'Bootstrap' method. A relatively robust distribution could be obtained after more than 500 'Bootstraps'. 4. A statistical 'bias correction' was found to reduce the bias. CONCLUSIONS: The similarity factor f2 is a simple measure for the comparison of two dissolution profiles. But the commonly used similarity factor estimate f2 is a biased and conservative estimate of f2. The bootstrap approach is a useful tool to simulate the confidence interval.

Chemistry, Pharmaceutical↗

Investigations into the relationship between drug properties, filling, and the release of drugs from hard gelatin capsules using multivariate statistical analysis.

PURPOSE: The aim of the present work is to identify complex relationships between formulation variables and dosage form properties to aid the development of hard gelatin capsules. METHODS: Multivariate statistical analysis was employed based on a statistical design, which considered drug solubility, particle size and concentration, type and concentration of filler and disintegrant, and concentration of standard lubricant and glidant as the main influence factors. Both the filling properties of the formulations and the disintegration/dissolution properties of the capsule content were studied. RESULTS: From the two multivariate statistical methods used, nonparametric canonical analysis proved to be the superior method to deal with the complex information included in the data. While the filling performance of the formulation could clearly be attributed to the formulation variables such as drug particle size, type of filler, concentration of drug and glidant, the disintegration of the capsules and the dissolution of the drugs was not strongly related to the formulation variables chosen. In this respect as a trend, the drug solubility, and the type of disintegrant and filler appear to be more important factors. CONCLUSIONS: Based on an appropriate number of experiments, organised in a statistical design, nonparametric canonical analysis can be used to identify relationships in a set of data that is grouped in influence and response variables to aid the development of a dosage form.

Capsules↗

The description of the gastrointestinal transit of pellets assessed by gamma scintigraphy using statistical moments.

The gastrointestinal transit of multiple units (e.g., pellets), as determined by gamma scintigraphy, has been characterized by the application of statistical moments. Stomach emptying profiles can be described comprehensively by Mean Gastric Residence Time (MGRT) and Variance of Gastric Residence Time (VGRT) and caecum arrival data by Mean Caecum Arrival Time (MCAT) and Variance of Caecal Arrival Time (VCAT). This maximizes the data available, which is not the case when only described as 50% values. The statistical moments provide different information about the data observed compared to the classical descriptors, as there was only limited correlation between these two sets of parameters. Statistical moments therefore provide an important quantification of the process studied, and they can be used in any statistical test, where it is required to compare different experimental conditions.

Data Collection↗

Toward improved statistical reporting in the journal of consulting and clinical psychology.

Philip Kendall's (1997) editorial encouraged authors in the Journal of Consulting and Clinical Psychology (JCCP) to report effect sizes and clinical significance. The present authors assessed the influence of that editorial--and other American Psychological Association initiatives to improve statistical practices--by examining 239 JCCP articles published from 1993 to 2001. For analysis of variance, reporting of means and standardized effect sizes increased over that period, but the rate of effect size reporting for other types of analyses surveyed remained low. Confidence interval reporting increased little, reaching 17% in 2001. By 2001, the percentage of articles considering clinical (not only statistical) significance was 40%, compared with 36% in 1996. In a follow-up survey of JCCP authors (N=62), many expressed positive attitudes toward statistical reform. Substantially improving statistical practices may require stricter editorial policies and further guidance for authors on reporting and interpreting measures.

Analysis of Variance↗

Implicit learning of musical timbre sequences: statistical regularities confronted with acoustical (dis)similarities.

The present study investigated the influence of acoustical characteristics on the implicit learning of statistical regularities (transition probabilities) in sequences of musical timbres. The sequences were constructed in such a way that the acoustical dissimilarities between timbres potentially created segmentations that either supported (S1) or contradicted (S2) the statistical regularities or were neutral (S3). In the learning group, participants first listened to the continuous timbre sequence and then had to distinguish statistical units from new units. In comparison to a control group without the exposition phase, no interaction between sequence type and amount of learning was observed: Performance increased by the same amount for the three sequences. In addition, performance reflected an overall preference for acoustically similar timbre units. The present outcome extends previous data from the domain of implicit learning to complex nonverbal auditory material. It further suggests that listeners become sensitive to statistical regularities despite acoustical characteristics in the material that potentially affect grouping.

Acoustics↗

Generalized eta and omega squared statistics: measures of effect size for some common research designs.

The editorial policies of several prominent educational and psychological journals require that researchers report some measure of effect size along with tests for statistical significance. In analysis of variance contexts, this requirement might be met by using eta squared or omega squared statistics. Current procedures for computing these measures of effect often do not consider the effect that design features of the study have on the size of these statistics. Because research-design features can have a large effect on the estimated proportion of explained variance, the use of partial eta or omega squared can be misleading. The present article provides formulas for computing generalized eta and omega squared statistics, which provide estimates of effect size that are comparable across a variety of research designs.

Analysis of Variance↗

The power of statistical tests for moderators in meta-analysis.

Calculation of the statistical power of statistical tests is important in planning and interpreting the results of research studies, including meta-analyses. It is particularly important in moderator analyses in meta-analysis, which are often used as sensitivity analyses to rule out moderator effects but also may have low statistical power. This article describes how to compute statistical power of both fixed- and mixed-effects moderator tests in meta-analysis that are analogous to the analysis of variance and multiple regression analysis for effect sizes. It also shows how to compute power of tests for goodness of fit associated with these models. Examples from a published meta-analysis demonstrate that power of moderator tests and goodness-of-fit tests is not always high.

Humans↗

An embedding-based framework enables statistical testing of gene-set function hypotheses inferred by large language models.

Emerging large language models (LLMs) can infer gene functions directly from gene lists, enabling hypothesis generation without predefined gene sets. However, these LLM-derived predictions are qualitative, and principled statistical validation is lacking. Here, we develop an embedding-based statistical framework that transforms gene and function descriptions into vector representations, enabling statistical testing of gene-gene and gene-function relationships and quantitative prioritization of de novo functional hypotheses inferred by LLMs. We benchmark seven state-of-the-art embedding models using curated and retrieval-augmented literature-derived gene descriptions across diverse biological contexts. OpenAI's text-embedding-3-large and Google's gemini-embedding-001 perform best, capturing gene-gene functional relationships in 88.7-92.5% of Gene Ontology biological processes and approximately 98.6% of canonical pathways. In gene-function association analyses, these models achieve high sensitivity (95.2-98.4%) and specificity (72.7-84.3%). Through contamination analysis and evaluation using experimentally informed protein assembly gene sets, our framework distinguishes biologically meaningful LLM-inferred hypotheses from noise, outperforming confidence-based inference and conventional enrichment analysis. We further develop the open-source R package DEGEmbedR and demonstrate its utility for interpreting a drug perturbation-derived differentially expressed gene (DEG) signature lacking significant conventional enrichment results. Together, these results establish LLM-derived embeddings as a quantitative foundation for functional genomics and the statistical validation of LLM-based gene function inference.

Large Language Models↗

A comparison of simple statistical methods for estimating analytical uncertainty, taking into account predicted frequency distributions.

Error in chemical analysis is propagated mainly by multiplication (not addition) of random, systematic and spurious errors. Individual random errors tend to have symmetrical frequency distributions but their combined error distribution has a positive skew. Certain systematic errors (bias) conceivably could have frequency distributions which would enhance or lessen the overall skew but they are unlikely to produce a truly normal distribution. Each analytical method, or modification of it, may produce a unique frequency distribution of results. Hence an ideal general statistical treatment of results cannot exist and the best practical compromise should be utilised. Three simple statistical treatments of data produced from various analytical models were compared, to identify the best compromise. Conventional statistics, with no transformation of data, generally treated low results too favourably and high results too harshly. Prior transformation of results to logarithms tended to do the reverse. Transformation of results to factors, followed by derivation of a robust standard deviation, treated the extremes more equally, if somewhat harshly. Factor statistics for precision have low sensitivity to outliers and the assigned true value and they offer a good compromise for the description of analytical data.

Journal Article↗

Statistical power in stuttering research: a tutorial.

The capacity to make reliable inductive statements about populations is critical for the advancement of scientific knowledge. An important contribution to that advancement of knowledge is determining that effects are either present or not present in populations. Statistical power is an important methodological qualification for any research that presents statistical results, and particularly so for research that presents null results. In this paper we describe the statistical concept of power, outline parameters of research that influence it, and demonstrate how it is calculated. With reference to selected published research, attention is drawn to the problems associated with a body of underpowered research, one being that population effects may go undetected. One way to prevent this problem is to calculate power a priori in planning research and include confidence intervals when presenting the results of research. However, it is difficult, if not impossible in many cases, to obtain high participant numbers for communication disorders of low prevalence such as stuttering. With this in mind, the paper concludes with an attempt to open discussion about ways to redress the problems associated with statistical power.

Humans↗

Studies of prognostic factors in end-stage renal disease: an epidemiological and statistical critique.

We reviewed prognostic studies for patients treated with renal replacement therapy by using an electronic database and bibliographic review for 1990 to 1998. Using the inclusion criteria of English language, adult patients, primary article, minimum 50 patients, primary focus on prognostic factors, and mortality outcome, 104 articles were identified. The 104 articles were reviewed for eight epidemiological and seven statistical criteria that addressed the scientific validity and interpretability of results. The following percentages of the 104 articles satisfied each of the eight epidemiological criteria: (1) a priori hypothesis, 6%; (2) zero time specified, 49%; (3) prognostic factors collected before zero time, 69%; (4) inception cohort, 59%; (5) control for treatment, 74%; (6) operational criteria, 82%; (7) missing variables reported, 12%; and (8) loss to follow-up reported, 42%. Summary analysis showed that 76% of studies satisfied four or fewer of the eight identified criteria. In the 77 articles (74%) that used the Cox proportional hazards model, the following percentages of articles met each of the seven statistical criteria: (1) proportional hazards verified, 26%; (2) censoring explained, 57%; (3) multivariate analysis performed, 91%; (4) significance levels given, 99%; (5) age adjusted, 95%; (6) diabetes adjusted, 66%; and (7) cardiac adjusted, 44%. Summary analysis found that 47% of the 77 studies satisfied four or fewer of the seven identified criteria. Superficially, results appear to show that when the Cox proportional hazards model was used, statistical analysis was better than the epidemiological design. However, studies we examined had serious defects in both epidemiological design and statistical analysis. The consequent validity of results for the quantification of prognostic factors is questionable.

Adult↗

Statistical analysis of adaptive response in sister chromatid exchanges in human lymphocytes after treatment with very low and extremely low doses of N-methyl-N'-nitro-N-nitrosoguanidine using a study design to control variability.

Previous studies have been interpreted as suggesting that low concentrations of N-methyl-N'-nitro-N-nitrosoguanidine (MNNG) have an adaptive effect in the cultured lymphocytes of responsive donors (that is, the cells are protected against the mutagenic effects of a subsequent challenge with a higher concentration of MNNG). The objectives of the present study were to investigate, under stringent experimental conditions, whether a protective effect exists at very low and extremely low doses of MNNG (10(-8) and 10(-24) M, respectively). Peripheral blood lymphocytes from a donor considered responsive in a previous study were stimulated to divide and were cultured under standard conditions. Pre-adaptive treatments with dilutions of MNNG were added to the cultures repeatedly before a challenge treatment with MNNG. Bromodeoxyuridine was added at the same time as the challenge treatment and, following mitotic arrest, cells were differentially stained so that the number of sister chromatid exchanges (SCEs) could be counted. The study was designed to address potential criticisms of earlier studies which did not include replicate cultures. Samples of blood were divided into two identical batches for independent processing. Five replicate cultures were prepared for each combination of pre-adaptive and challenge treatments in each batch. The complete experiment was repeated to provide a further test of the consistency of results. Five replicates per treatment combination were chosen in an attempt to provide an experiment of adequate statistical power. Considerable precautions were taken to minimise the effect of factors outside experimental control on the results. Scoring was done by three scorers. In order to minimise inter-scorer variation, 240 cells were scored at each treatment observation (five cells per-scorer, three scorers per culture, four cultures per batch, two batches per experiment and two experiments). The study was designed in this way to take account of the sources of variability to ensure that any response obtained would exceed that obtainable by experimental variability alone. A high level of quality assurance monitoring was undertaken throughout the investigation. Two measures of SCE induction were used: (i) the mean frequency of SCEs; (iii) proportion of cells with at least 20 SCEs. In both experiments, the challenge concentration of MNNG significantly increased SCE frequency. There were, however, highly significant differences between the two experiments. The proportion of high frequency cells (HFCs) in Experiment 1 was increased significantly; the proportion of HFCs was also increased in Experiment 2, but the increase was not statistically significant. The pre-adaptive concentrations of MNNG included an extremely low dilution of 6.8 x 10(-24) M and a very low dilution of 6.8 x 10(-8) M in Experiment 1 and 1.4 x 10(-7) M in Experiment 2. The various pre-adaptive concentrations used had no consistent protective effect against the SCE-inducing capacity of the challenge concentration of MNNG of 6.8 x 10(-6) M. It is concluded that an adaptive response to the alkylating agent MNNG could not be demonstrated in cultured human lymphocytes. Neither a very low nor an extremely low dilution of MNNG elicited an adaptive response in terms of SCE induction (measured either as SCE frequency or as proportion of HFCs). This is in contradiction to previous reports published by us and other groups. This study was carefully designed with large numbers of replicates, a preliminary statistical power calculation, predefined comparisons and extensive quality assurance at each treatment administration. Despite these precautions the variability between scorers and between batches was much larger than anticipated. This resulted in some statistically significant differences, but these are likely to be false positives. Our findings indicate the need for such methodological refinement in human cell adaptive response studies.

Carcinogens↗

A classical trajectory study of the photodissociation of T1 acetaldehyde: the transition from impulsive to statistical dynamics.

Previous experimental and theoretical studies of the radical dissociation channel of T(1) acetaldehyde show conflicting behavior in the HCO and CH(3) product distributions. To resolve these conflicts, a full-dimensional potential-energy surface for the dissociation of CH(3)CHO into HCO and CH(3) fragments over the barrier on the T(1) surface is developed based on RO-CCSD(T)/cc-pVTZ(DZ) ab initio calculations. 20,000 classical trajectories are calculated on this surface at each of five initial excess energies, spanning the excitation energies used in previous experimental studies, and translational, vibrational, and rotational distributions of the radical products are determined. For excess energies near the dissociation threshold, both the HCO and CH(3) products are vibrationally cold; there is a small amount of HCO rotational excitation and little CH(3) rotational excitation, and the reaction energy is partitioned dominantly (>90% at threshold) into relative translational motion. Close to threshold the HCO and CH(3) rotational distributions are symmetrically shaped, resembling a Gaussian function, in agreement with observed experimental HCO rotational distributions. As the excess energy increases the calculated HCO and CH(3) rotational distributions are observed to change from a Gaussian shape at threshold to one more resembling a Boltzmann distribution, a behavior also seen by various experimental groups. Thus the distribution of energy in these rotational degrees of freedom is observed to change from nonstatistical to apparently statistical, as excess energy increases. As the energy above threshold increases all the internal and external degrees of freedom are observed to gain population at a similar rate, broadly consistent with equipartitioning of the available energy at the transition state. These observations generally support the practice of separating the reaction dynamics into two reservoirs: an impulsive reservoir, fed by the exit channel dynamics, and a statistical reservoir, supported by the random distribution of excess energy above the barrier. The HCO rotation, however, is favored by approximately a factor of 3 over the statistical prediction. Thus, at sufficiently high excess energies, although the HCO rotational distribution may be considered statistical, the partitioning of energy into HCO rotation is not.

Journal Article↗

Using a phase space statistic to identify resonant objects.

The identification of resonant objects in radar or sonar, important for object identification, is difficult because existing methods require that the signal have a large signal-to-noise ratio. It is shown in this article that a modified version of the Kaplan-Glass (KG) statistic, a phase space statistic used to determine if a signal is deterministic, is sensitive to the properties of resonant objects. The modified KG statistic can be used to detect the presence of a resonant object even when the radar or sonar signal does not come from a deterministic dynamical system. The use of the modified KG statistic both numerically and in a simple experiment is also demonstrated.

Journal Article↗

Waiting time information services: how well do different statistics forecast a patient's wait?

This study investigates how accurately the waiting times of patients about to join a waiting list are predicted by the types of statistics disseminated via web-based waiting time information services. Data were collected at a public hospital in Sydney, Australia, on elective surgery activity and waiting list behaviour from July 1995 to June 1998. The data covered 46 surgeons in 10 surgical specialties. The accuracy of the tested statistics varied greatly, being affected more by the characteristics and behaviour of a surgeon's waiting list than by how the statistics were derived. For those surgeons whose waiting times were often over six months, commonly used statistics can be very poor at forecasting patient waiting times.

Data Collection↗

Waiting list statistics as performance indicators: observations on their use in hospital management.

Improvements in data collection and the types of statistics collected have enhanced the usefulness of waiting list statistics as a measure of hospital performance. But these changes are not sufficient for waiting list statistics to be used effectively for management purposes. The statistics need to be viewed alongside activity data if clinicians and managers are to identify specific areas that need improvement. This means that how the data are analysed and presented is also important. During a study into the management of waiting lists, we observed that waiting list data were typically presented in a way that made interpretation difficult. A simple but effective solution was found by using available PC-based software, but obstacles remain. These stem from limitations of current information systems and the awareness among staff of the potential of common software packages.

Australia↗

Discovering statistically significant pathways in expression profiling studies.

Accurate and rapid identification of perturbed pathways through the analysis of genome-wide expression profiles facilitates the generation of biological hypotheses. We propose a statistical framework for determining whether a specified group of genes for a pathway has a coordinated association with a phenotype of interest. Several issues on proper hypothesis-testing procedures are clarified. In particular, it is shown that the differences in the correlation structure of each set of genes can lead to a biased comparison among gene sets unless a normalization procedure is applied. We propose statistical tests for two important but different aspects of association for each group of genes. This approach has more statistical power than currently available methods and can result in the discovery of statistically significant pathways that are not detected by other methods. This method is applied to data sets involving diabetes, inflammatory myopathies, and Alzheimer's disease, using gene sets we compiled from various public databases. In the case of inflammatory myopathies, we have correctly identified the known cytotoxic T lymphocyte-mediated autoimmunity in inclusion body myositis. Furthermore, we predicted the presence of dendritic cells in inclusion body myositis and of an IFN-alpha/beta response in dermatomyositis, neither of which was previously described. These predictions have been subsequently corroborated by immunohistochemistry.

Algorithms↗